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GA.AAGBAA.Accelerated Analytic Geometry B/Advanced Algebra

Accelerated Analytic Geometry B/Advanced Algebra
MGSE9-12.A.APR. Arithmetic with Polynomials and Rational Expressions
Perform arithmetic operations on polynomials
MGSE9-12.A.APR.1. Add, subtract, and multiply polynomials; understand that polynomials form a system analogous to the integers in that they are closed under these operations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MGSE9-12.A.CED. Creating Equations
Create equations that describe numbers or relationships
MGSE9-12.A.CED.1. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear, quadratic, simple rational, and exponential functions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
MGSE9-12.A.CED.3. Represent constraints by equations or inequalities, and by systems of equation and/or inequalities, and interpret data points as possible (i.e. a solution) or not possible (i.e. a non-solution) under the established constraints.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
MGSE9-12.A.CED.4. Rearrange formulas to highlight a quantity of interest using the same reasoning as in solving equations. Examples: Rearrange Ohm’s law V = IR to highlight resistance R; Rearrange area of a circle formula A = π r^2 to highlight the radius r.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
MGSE9-12.A.REI. Reasoning with Equations and Inequalities
Represent and solve equations and inequalities graphically
MGSE9-12.A.REI.11. Using graphs, tables, or successive approximations, show that the solution to the equation f(x) = g(x) is the x-value where the y-values of f(x) and g(x) are the same.
Flip Charts Math Grade 8
 
MGSE9-12.A.SSE. Seeing Structure in Expressions
Write expressions in equivalent forms to solve problems
MGSE9-12.A.SSE.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
MGSE9-12.A.SSE.3c. Use the properties of exponents to transform expressions for exponential functions. For example, the expression 1.15^t, where t is in years, can be rewritten as [1.15^(1/12)]^(12t) ≈ 1.012^(12t) to reveal the approximate equivalent monthly interest rate i
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MGSE9-12.F.BF. Building Functions
Build a function that models a relationship between two quantities
MGSE9-12.F.BF.1. Write a function that describes a relationship between two quantities.
MGSE9-12.F.BF.1a. Determine an explicit expression and the recursive process (steps for calculation) from context. For example, if Jimmy starts out with $15 and earns $2 a day, the explicit expression “2x+15” can be described recursively (either in writing or verbally) as
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
MGSE9-12.F.IF. Interpreting Functions
Interpret functions that arise in applications in terms of the context
MGSE9-12.F.IF.4. Using tables, graphs, and verbal descriptions, interpret the key characteristics of a function which models the relationship between two quantities. Sketch a graph showing key features including: intercepts; interval where the function is increasing, decr
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.F.IF.6. Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
Analyze functions using different representations
MGSE9-12.F.IF.7. Graph functions expressed algebraically and show key features of the graph both by hand and by using technology.
MGSE9-12.F.IF.7a. Graph quadratic functions and show intercepts, maxima, and minima (as determined by the function or by context).
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.F.IF.7e. Graph exponential and logarithmic functions, showing intercepts and end behavior.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.F.IF.8. Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
MGSE9-12.F.IF.8b. Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02)^t, y = (0.97)^t, y = (1.01)^(12t), y = (1.2)^(t/10), and classify them as representing exponen
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MGSE9-12.N.RN. The Real Number System
Extend the properties of exponents to rational exponents.
MGSE9-12.N.RN.1. Explain how the meaning of rational exponents follows from extending the properties of integer exponents to rational numbers, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^(1/3) to be the cube root of 5 beca
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MGSE9-12.N.RN.2. Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MGSE9-12.S.CP. Conditional Probability and the Rules of Probability
Understand independence and conditional probability and use them to interpret data
MGSE9-12.S.CP.2. Understand that if two events A and B are independent, the probability of A and B occurring together is the product of their probabilities, and that if the probability of two events A and B occurring together is the product of their probabilities, the two
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 

GA.MAAIGA.Accelerated Algebra I/Geometry A

Accelerated Algebra I/Geometry A
MGSE9-12.A.APR. Arithmetic with Polynomials and Rational Expressions
Perform arithmetic operations on polynomials
MGSE9-12.A.APR.1. Add, subtract, and multiply polynomials; understand that polynomials form a system analogous to the integers in that they are closed under these operations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MGSE9-12.A.CED. Creating Equations
Create equations that describe numbers or relationships
MGSE9-12.A.CED.1. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear, quadratic, simple rational, and exponential functions (integer inputs only).
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
MGSE9-12.A.CED.3. Represent constraints by equations or inequalities, and by systems of equation and/or inequalities, and interpret data points as possible (i.e. a solution) or not possible (i.e. a non-solution) under the established constraints.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
MGSE9-12.A.CED.4. Rearrange formulas to highlight a quantity of interest using the same reasoning as in solving equations. Examples: Rearrange Ohm’s law V = IR to highlight resistance R; Rearrange area of a circle formula A = π r^2 to highlight the radius r.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
MGSE9-12.A.REI. Reasoning with Equations and Inequalities
Understand solving equations as a process of reasoning and explain the reasoning
MGSE9-12.A.REI.1. Using algebraic properties and the properties of real numbers, justify the steps of a simple, one-solution equation. Students should justify their own steps, or if given two or more steps of an equation, explain the progression from one step to the next u
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
Represent and solve equations and inequalities graphically
MGSE9-12.A.REI.11. Using graphs, tables, or successive approximations, show that the solution to the equation f(x) = g(x) is the x-value where the y-values of f(x) and g(x) are the same.
Flip Charts Math Grade 8
 
MGSE9-12.A.REI.12. Graph the solution set to a linear inequality in two variables.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 
Solve equations and inequalities in one variable
MGSE9-12.A.REI.3. Solve linear equations and inequalities in one variable including equations with coefficients represented by letters. For example, given ax + 3 = 7, solve for x.
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
Solve systems of equations
MGSE9-12.A.REI.5. Show and explain why the elimination method works to solve a system of two-variable equations.
Flip Charts Math Grade 8
 
MGSE9-12.A.REI.6. Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
Flip Charts Math Grade 8
 
MGSE9-12.F.BF. Building Functions
Build a function that models a relationship between two quantities
MGSE9-12.F.BF.1. Write a function that describes a relationship between two quantities.
MGSE9-12.F.BF.1a. Determine an explicit expression and the recursive process (steps for calculation) from context. For example, if Jimmy starts out with $15 and earns $2 a day, the explicit expression “2x+15” can be described recursively (either in writing or verbally) as
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
MGSE9-12.F.IF. Interpreting Functions
Understand the concept of a function and use function notation
MGSE9-12.F.IF.1. Understand that a function from one set (the input, called the domain) to another set (the output, called the range) assigns to each element of the domain exactly one element of the range, i.e. each input value maps to exactly one output value. If f is a
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
MGSE9-12.F.IF.3. Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. (Generally, the scope of high school math defines this subset as the set of natural numbers 1,2,3,4...) By graphing or calculating terms, stud
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
 
Interpret functions that arise in applications in terms of the context
MGSE9-12.F.IF.4. Using tables, graphs, and verbal descriptions, interpret the key characteristics of a function which models the relationship between two quantities. Sketch a graph showing key features including: intercepts; interval where the function is increasing, decr
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.F.IF.6. Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
Analyze functions using different representations
MGSE9-12.F.IF.7. Graph functions expressed algebraically and show key features of the graph both by hand and by using technology.
MGSE9-12.F.IF.7a. Graph linear and quadratic functions and show intercepts, maxima, and minima (as determined by the function or by context).
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.F.IF.7e. Graph exponential functions, showing intercepts and end behavior.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.F.LE. Linear, Quadratic, and Exponential Models
Construct and compare linear, quadratic, and exponential models and solve problems
MGSE9-12.F.LE.1. Distinguish between situations that can be modeled with linear functions and with exponential functions.
MGSE9-12.F.LE.1a. Show that linear functions grow by equal differences over equal intervals and that exponential functions grow by equal factors over equal intervals. (This can be shown by algebraic proof, with a table showing differences, or by calculating average rates o
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.G.CO. Congruence
Experiment with transformations in the plane
MGSE9-12.G.CO.1. Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
 
MGSE9-12.G.CO.2. Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and an
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
MGSE9-12.G.CO.3. Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
MGSE9-12.G.CO.4. Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
MGSE9-12.G.CO.5. Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
Understand congruence in terms of rigid motions
MGSE9-12.G.CO.6. Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
Prove geometric theorems
MGSE9-12.G.CO.9. Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line
Flip Charts Math Grade 8
Flip Charts Plane Geometry
 
MGSE9-12.G.SRT. Similarity, Right Triangles, and Trigonometry
Understand similarity in terms of similarity transformations
MGSE9-12.G.SRT.1. Verify experimentally the properties of dilations given by a center and a scale factor.
MGSE9-12.G.SRT.1a. The dilation of a line not passing through the center of the dilation results in a parallel line and leaves a line passing through the center unchanged.
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
MGSE9-12.G.SRT.1b. The dilation of a line segment is longer or shorter according to the ratio given by the scale factor.
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
MGSE9-12.G.SRT.2. Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain, using similarity transformations, the meaning of similarity for triangles as the equality of all corresponding pairs of angl
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
Prove theorems involving similarity
MGSE9-12.G.SRT.5. Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Flip Charts Math Grade 8
 
MGSE9-12.N.RN. The Real Number System
Use properties of rational and irrational numbers.
MGSE9-12.N.RN.3. Explain why the sum or product of rational numbers is rational; why the sum of a rational number and an irrational number is irrational; and why the product of a nonzero rational number and an irrational number is irrational.
Flip Charts Math Grade 8
Flip Charts The Real Numbers
 
MGSE9-12.S.ID. Interpreting Categorical and Quantitative Data
Summarize, represent, and interpret data on two categorical and quantitative variables
MGSE9-12.S.ID.5. Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
MGSE9-12.S.ID.6. Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
MGSE9-12.S.ID.6c. Using given or collected bivariate data, fit a linear function for a scatter plot that suggests a linear association.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 

GA.MACAAGA.Accelerated Coordinate Algebra/Analytic Geometry A

Accelerated Coordinate Algebra/Analytic Geometry A
MGSE9-12.A.APR. Arithmetic with Polynomials and Rational Expressions
Perform arithmetic operations on polynomials
MGSE9-12.A.APR.1. Add, subtract, and multiply polynomials; understand that polynomials form a system analogous to the integers in that they are closed under these operations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MGSE9-12.A.CED. Creating Equations
Create equations that describe numbers or relationships
MGSE9-12.A.CED.1. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear, and exponential functions (integer inputs only).
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
MGSE9-12.A.CED.2. Create linear, and exponential equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. (The phrase “in two or more variables” refers to formulas like the compound interes
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.A.CED.3. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret data points as possible (i.e. a solution) or not possible (i.e. a non-solution) under the established constraints.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
MGSE9-12.A.CED.4. Rearrange formulas to highlight a quantity of interest using the same reasoning as in solving equations. Examples: Rearrange Ohm’s law V = IR to highlight resistance R.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
MGSE9-12.A.REI. Reasoning with Equations and Inequalities
Understand solving equations as a process of reasoning and explain the reasoning
MGSE9-12.A.REI.1. Using algebraic properties and the properties of real numbers, justify the steps of a simple, one-solution equation. Students should justify their own steps, or if given two or more steps of an equation, explain the progression from one step to the next u
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
Represent and solve equations and inequalities graphically
MGSE9-12.A.REI.11. Using graphs, tables, or successive approximations, show that the solution to the equation f(x) = g(x) is the x-value where the y-values of f(x) and g(x) are the same.
Flip Charts Math Grade 8
 
MGSE9-12.A.REI.12. Graph the solution set to a linear inequality in two variables.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 
Solve equations and inequalities in one variable
MGSE9-12.A.REI.3. Solve linear equations and inequalities in one variable including equations with coefficients represented by letters. For example, given ax + 3 = 7, solve for x.
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
Solve systems of equations
MGSE9-12.A.REI.5. Show and explain why the elimination method works to solve a system of two-variable equations.
Flip Charts Math Grade 8
 
MGSE9-12.A.REI.6. Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
Flip Charts Math Grade 8
 
MGSE9-12.F.BF. Building Functions
Build a function that models a relationship between two quantities
MGSE9-12.F.BF.1. Write a function that describes a relationship between two quantities.
MGSE9-12.F.BF.1a. Determine an explicit expression and the recursive process (steps for calculation) from context. For example, if Jimmy starts out with $15 and earns $2 a day, the explicit expression “2x+15” can be described recursively (either in writing or verbally) as
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
MGSE9-12.F.IF. Interpreting Functions
Understand the concept of a function and use function notation
MGSE9-12.F.IF.1. Understand that a function from one set (the input, called the domain) to another set (the output, called the range) assigns to each element of the domain exactly one element of the range, i.e. each input value maps to exactly one output value. If f is a
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
MGSE9-12.F.IF.3. Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. (Generally, the scope of high school math defines this subset as the set of natural numbers 1,2,3,4...) By graphing or calculating terms, stud
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
 
Interpret functions that arise in applications in terms of the context
MGSE9-12.F.IF.4. Using tables, graphs, and verbal descriptions, interpret the key characteristics of a function which models the relationship between two quantities. Sketch a graph showing key features including: intercepts; interval where the function is increasing, decr
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.F.IF.6. Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
Analyze functions using different representations
MGSE9-12.F.IF.7. Graph functions expressed algebraically and show key features of the graph both by hand and by using technology.
MGSE9-12.F.IF.7a. Graph linear functions and show intercepts, maxima, and minima (as determined by the function or by context).
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.F.IF.7e. Graph exponential functions, showing intercepts and end behavior.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.F.LE. Linear, Quadratic, and Exponential Models
Construct and compare linear, quadratic, and exponential models and solve problems
MGSE9-12.F.LE.1. Distinguish between situations that can be modeled with linear functions and with exponential functions.
MGSE9-12.F.LE.1a. Show that linear functions grow by equal differences over equal intervals and that exponential functions grow by equal factors over equal intervals. (This can be shown by algebraic proof, with a table showing differences, or by calculating average rates o
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.G.CO. Congruence
Experiment with transformations in the plane
MGSE9-12.G.CO.1. Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
 
MGSE9-12.G.CO.2. Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and an
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
MGSE9-12.G.CO.3. Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
MGSE9-12.G.CO.4. Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
MGSE9-12.G.CO.5. Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
Understand congruence in terms of rigid motions
MGSE9-12.G.CO.6. Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
Prove geometric theorems
MGSE9-12.G.CO.9. Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line
Flip Charts Math Grade 8
Flip Charts Plane Geometry
 
MGSE9-12.G.GMD. Geometric Measurement and Dimension
Explain volume formulas and use them to solve problems
MGSE9-12.G.GMD.1. Give informal arguments for geometric formulas.
MGSE9-12.G.GMD.1a. Give informal arguments for the formulas of the circumference of a circle and area of a circle using dissection arguments and informal limit arguments.
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
 
MGSE9-12.G.GMD.3. Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
 
MGSE9-12.G.GPE. Expressing Geometric Properties with Equations
Use coordinates to prove simple geometric theorems algebraically
MGSE9-12.G.GPE.5. Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
 
MGSE9-12.G.GPE.7. Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
 
MGSE9-12.G.SRT. Similarity, Right Triangles, and Trigonometry
Understand similarity in terms of similarity transformations
MGSE9-12.G.SRT.1. Verify experimentally the properties of dilations given by a center and a scale factor.
MGSE9-12.G.SRT.1a. The dilation of a line not passing through the center of the dilation results in a parallel line and leaves a line passing through the center unchanged.
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
MGSE9-12.G.SRT.1b. The dilation of a line segment is longer or shorter according to the ratio given by the scale factor.
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
MGSE9-12.G.SRT.2. Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain, using similarity transformations, the meaning of similarity for triangles as the equality of all corresponding pairs of angl
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
Prove theorems involving similarity
MGSE9-12.G.SRT.5. Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Flip Charts Math Grade 8
 
MGSE9-12.S.ID. Interpreting Categorical and Quantitative Data
Summarize, represent, and interpret data on two categorical and quantitative variables
MGSE9-12.S.ID.5. Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
MGSE9-12.S.ID.6. Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
MGSE9-12.S.ID.6c. Using given or collected bivariate data, fit a linear function for a scatter plot that suggests a linear association.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 
MGSE9–12.N.RN. The Real Number System
Use properties of rational and irrational numbers.
MGSE9–12.N.RN.3. Explain why the sum or product of rational numbers is rational; why the sum of a rational number and an irrational number is irrational; and why the product of a nonzero rational number and an irrational number is irrational.
Flip Charts Math Grade 8
Flip Charts The Real Numbers
 

GA.MAFM.Advanced Finite Mathematics

Advanced Finite Mathematics
MAFM.LR. Logical Reasoning
Represent and interpret statements using logical symbolism.
MAFM.LR.3. Determine whether a logical argument is valid or invalid, and determine whether a logical argument is a tautology or a contradiction.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MAFM.MP. Methods of Proof
MAFM.MP.2. Prove statements directly from definitions and previously proved statements. For example, using the definition of “rational number”, prove that every integer is rational; using the definition of “divides”, prove that if a divides b and b divides a, then a
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MAFM.MP.5. Use the method of mathematical induction to prove statements involving the positive integers. For example, prove that 3 divides 2^(2n) – 1 for all positive integers n; prove that 1 + 2 + 3 + … + n = n (n + 1)/2; prove that a given recursive sequence has a
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MAFM.NT. Number Theory
Prove statements in number theory.
MAFM.NT.5. Prove statements involving properties of numbers. For example, prove that the sum of two rational numbers is rational; prove that if a is even and b is odd, then (a^2 + b^2 + 1)/2 is an integer; prove that any odd number squared is of the form 8k + 1 for
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MAFM.NT.6. Prove statements involving the floor and ceiling functions. For example, for every integer n, prove that the floor of n/2 is equal to n/2 if n is even and equal to (n – 1)/2 if n is odd.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MAFM.NT.7. Prove the Fundamental Theorem of Arithmetic, the Euclidean algorithm, and Fermat’s Little Theorem.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MAFM.PC. Probability and Combinatorics
Calculate the probability of events.
MAFM.PC.2. Apply the axioms of probability to determine the probability of dependent and independent events, including use of the multiplication rule for independent events.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
Use methods of counting.
MAFM.PC.5. Calculate the number of permutations of a set with n elements. Calculate the number of permutations of r elements taken from a set of n elements.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
MAFM.PC.6. Calculate the number of subsets of size r that can be chosen from a set of n elements. Recognize this number as the number of combinations “n choose r”.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
MAFM.PC.7. Calculate the number of combinations with repetitions of r elements from a set of n elements as n + r – 1 choose r.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
Prove statements involving combinatorics.
MAFM.PC.10. Use the pigeonhole principle to prove statements about counting.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
MAFM.PC.8. Prove combinatorial identities. For example, prove that n + 1 choose r is equal to n choose r – 1 plus n choose r; prove that the sum of the entries in the kth row of Pascal’s triangle is 2^k (where the first row is row 0).
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
MAFM.PC.9. Apply a combinatorial argument to prove the binomial theorem.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
MAFM.ST. Set Theory
Use set theoretic operations.
MAFM.ST.4. Given a relation on two sets, determine whether the relation is a function and determine the relation’s inverse relation, if it exists.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
MTCR.GF. Graphs and Functions
Students will identify and analyze functions using mappings, relations, graphs, and real-world applications.
MTCR.GF.1. Students will use the definition of functions to identify functions in various forms. (MGSE9-12.F.IF.5)
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
MTCR.LEI. Linear Equations and Inequalities
Students will solve equations and inequalities in one variable and then, extend this knowledge to two-variable linear equations and inequalities.
MTCR.LEI.1. Students will solve multi-step equations and inequalities, using all forms of rational numbers as coefficients. (MGSE9-12.A.REI.l, MGSE9-12.A.CED.1)
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
MTCR.LEI.2. Students will set-up and solve application problems including direct and inverse variations and proportions. (MGSE9-12.A.CED.1)
Flip Charts Applying Percents
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
MTCR.LEI.3. Students will graph linear equations and inequalities using intercepts, slope and y-intercept, and tables of values. (MGSE9-12.N.Q.1)
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 
MTCR.LEI.4. Students will determine and identify relationships between lines using slope. (MGSE9-12.G.GPE.5)
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MTCR.LEI.5. Students will solve systems of linear equations using graphing, substitution, and elimination, and then, apply these methods to set-up and solve application problems involving systems. (MGSE9-12.A.CED.3)
Flip Charts Math Grade 8
 
MTCR.MG. Measurement and Geometry
Students will classify basic geometric shapes and then, calculate the perimeters, areas, volumes, and surface areas of figures extending this work into contextual problems.
MTCR.MG.4. Students will use formulas to isolate unknowns and then calculate the perimeters, areas, volumes, and surface areas of the shapes including setting-up and solving contextual problems. (MGSE9-12.A.REI.3, MGSE9-12.A.CED.4, MGSE9-12.G.GMD.1, MGSE9-12.G.GMD.3
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
 
MTCR.NLR. Non-Linear Relationships
Students will simplify square roots, rational expressions, and polynomial expressions, and then, solve equations involving these expressions.
MTCR.NLR.3. Students will perform basic operations with polynomial expressions including the use of order of operations, substitution of rational numbers for variables, operations with exponents, and binomial expansion. (MGSE9-12A.SSE.l, MGSE9-12.A.SSE.2, MGSE9-12A.S
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MTCR.NS. Number Sense
Students will analyze rational numbers using place value and will perform all basic operations using these numbers without the use of a calculator.
MTCR.NS.1. Students will use place value to analyze whole numbers, numbers in scientific notation, and decimals. (MFANSQ1)
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MTCR.NS.2. Students will perform mathematical operations involving all forms of positive, rational numbers, including the use of order of operations. (MFANSQ4)
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
 
MTCR.NS.3. Students will be able to convert fractions to decimals to percents from any given representation. (MFANSQ4)
Flip Charts Applying Percents
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
 
MTCR.NS.4. Students will extend their knowledge of positive, rational numbers to negative values, including comparisons and absolute values. (MFANSQ2)
Flip Charts Math Grade 8
 

GA.MAFM.Technical College Readiness Mathematics

Technical College Readiness Mathematics
MAFM.LR. Logical Reasoning
Represent and interpret statements using logical symbolism.
MAFM.LR.3. Determine whether a logical argument is valid or invalid, and determine whether a logical argument is a tautology or a contradiction.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MAFM.MP. Methods of Proof
MAFM.MP.2. Prove statements directly from definitions and previously proved statements. For example, using the definition of “rational number”, prove that every integer is rational; using the definition of “divides”, prove that if a divides b and b divides a, then a
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MAFM.MP.5. Use the method of mathematical induction to prove statements involving the positive integers. For example, prove that 3 divides 2^(2n) – 1 for all positive integers n; prove that 1 + 2 + 3 + … + n = n (n + 1)/2; prove that a given recursive sequence has a
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MAFM.NT. Number Theory
Prove statements in number theory.
MAFM.NT.5. Prove statements involving properties of numbers. For example, prove that the sum of two rational numbers is rational; prove that if a is even and b is odd, then (a^2 + b^2 + 1)/2 is an integer; prove that any odd number squared is of the form 8k + 1 for
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MAFM.NT.6. Prove statements involving the floor and ceiling functions. For example, for every integer n, prove that the floor of n/2 is equal to n/2 if n is even and equal to (n – 1)/2 if n is odd.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MAFM.NT.7. Prove the Fundamental Theorem of Arithmetic, the Euclidean algorithm, and Fermat’s Little Theorem.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MAFM.PC. Probability and Combinatorics
Calculate the probability of events.
MAFM.PC.2. Apply the axioms of probability to determine the probability of dependent and independent events, including use of the multiplication rule for independent events.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
Use methods of counting.
MAFM.PC.5. Calculate the number of permutations of a set with n elements. Calculate the number of permutations of r elements taken from a set of n elements.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
MAFM.PC.6. Calculate the number of subsets of size r that can be chosen from a set of n elements. Recognize this number as the number of combinations “n choose r”.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
MAFM.PC.7. Calculate the number of combinations with repetitions of r elements from a set of n elements as n + r – 1 choose r.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
Prove statements involving combinatorics.
MAFM.PC.10. Use the pigeonhole principle to prove statements about counting.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
MAFM.PC.8. Prove combinatorial identities. For example, prove that n + 1 choose r is equal to n choose r – 1 plus n choose r; prove that the sum of the entries in the kth row of Pascal’s triangle is 2^k (where the first row is row 0).
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
MAFM.PC.9. Apply a combinatorial argument to prove the binomial theorem.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
MAFM.ST. Set Theory
Use set theoretic operations.
MAFM.ST.4. Given a relation on two sets, determine whether the relation is a function and determine the relation’s inverse relation, if it exists.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
MTCR.GF. Graphs and Functions
Students will identify and analyze functions using mappings, relations, graphs, and real-world applications.
MTCR.GF.1. Students will use the definition of functions to identify functions in various forms. (MGSE9-12.F.IF.5)
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
MTCR.LEI. Linear Equations and Inequalities
Students will solve equations and inequalities in one variable and then, extend this knowledge to two-variable linear equations and inequalities.
MTCR.LEI.1. Students will solve multi-step equations and inequalities, using all forms of rational numbers as coefficients. (MGSE9-12.A.REI.l, MGSE9-12.A.CED.1)
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
MTCR.LEI.2. Students will set-up and solve application problems including direct and inverse variations and proportions. (MGSE9-12.A.CED.1)
Flip Charts Applying Percents
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
MTCR.LEI.3. Students will graph linear equations and inequalities using intercepts, slope and y-intercept, and tables of values. (MGSE9-12.N.Q.1)
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 
MTCR.LEI.4. Students will determine and identify relationships between lines using slope. (MGSE9-12.G.GPE.5)
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MTCR.LEI.5. Students will solve systems of linear equations using graphing, substitution, and elimination, and then, apply these methods to set-up and solve application problems involving systems. (MGSE9-12.A.CED.3)
Flip Charts Math Grade 8
 
MTCR.MG. Measurement and Geometry
Students will classify basic geometric shapes and then, calculate the perimeters, areas, volumes, and surface areas of figures extending this work into contextual problems.
MTCR.MG.4. Students will use formulas to isolate unknowns and then calculate the perimeters, areas, volumes, and surface areas of the shapes including setting-up and solving contextual problems. (MGSE9-12.A.REI.3, MGSE9-12.A.CED.4, MGSE9-12.G.GMD.1, MGSE9-12.G.GMD.3
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
 
MTCR.NLR. Non-Linear Relationships
Students will simplify square roots, rational expressions, and polynomial expressions, and then, solve equations involving these expressions.
MTCR.NLR.3. Students will perform basic operations with polynomial expressions including the use of order of operations, substitution of rational numbers for variables, operations with exponents, and binomial expansion. (MGSE9-12A.SSE.l, MGSE9-12.A.SSE.2, MGSE9-12A.S
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MTCR.NS. Number Sense
Students will analyze rational numbers using place value and will perform all basic operations using these numbers without the use of a calculator.
MTCR.NS.1. Students will use place value to analyze whole numbers, numbers in scientific notation, and decimals. (MFANSQ1)
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MTCR.NS.2. Students will perform mathematical operations involving all forms of positive, rational numbers, including the use of order of operations. (MFANSQ4)
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
 
MTCR.NS.3. Students will be able to convert fractions to decimals to percents from any given representation. (MFANSQ4)
Flip Charts Applying Percents
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
 
MTCR.NS.4. Students will extend their knowledge of positive, rational numbers to negative values, including comparisons and absolute values. (MFANSQ2)
Flip Charts Math Grade 8
 

GA.MAG.Analytic Geometry

Analytic Geometry
MGSE9-12.A.APR. Arithmetic with Polynomials and Rational Expressions
Perform arithmetic operations on polynomials
MGSE9-12.A.APR.1. Add, subtract, and multiply polynomials; understand that polynomials form a system analogous to the integers in that they are closed under these operations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MGSE9-12.A.CED. Creating Equations
Create equations that describe numbers or relationships
MGSE9-12.A.CED.1. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from quadratic, functions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
MGSE9-12.A.CED.4. Rearrange formulas to highlight a quantity of interest using the same reasoning as in solving equations. Examples: Rearrange Ohm’s law V = IR to highlight resistance R; Rearrange area of a circle formula A = π r^2 to highlight the radius r.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
MGSE9-12.F.BF. Building Functions
Build a function that models a relationship between two quantities
MGSE9-12.F.BF.1. Write a function that describes a relationship between two quantities.
MGSE9-12.F.BF.1a. Determine an explicit expression and the recursive process (steps for calculation) from context. For example, if Jimmy starts out with $15 and earns $2 a day, the explicit expression “2x+15” can be described recursively (either in writing or verbally) as
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
MGSE9-12.F.IF. Interpreting Functions
Interpret functions that arise in applications in terms of the context
MGSE9-12.F.IF.4. Using tables, graphs, and verbal descriptions, interpret the key characteristics of a function which models the relationship between two quantities. Sketch a graph showing key features including: intercepts; interval where the function is increasing, decr
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.F.IF.6. Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
Analyze functions using different representations
MGSE9-12.F.IF.7. Graph functions expressed algebraically and show key features of the graph both by hand and by using technology.
MGSE9-12.F.IF.7a. Graph quadratic functions and show intercepts, maxima, and minima (as determined by the function or by context).
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.G.CO. Congruence
Understand congruence in terms of rigid motions
MGSE9-12.G.CO.6. Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
Prove geometric theorems
MGSE9-12.G.CO.9. Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line
Flip Charts Math Grade 8
Flip Charts Plane Geometry
 
MGSE9-12.G.GMD. Geometric Measurement and Dimension
Explain volume formulas and use them to solve problems
MGSE9-12.G.GMD.1. Give informal arguments for geometric formulas.
MGSE9-12.G.GMD.1a. Give informal arguments for the formulas of the circumference of a circle and area of a circle using dissection arguments and informal limit arguments.
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
 
MGSE9-12.G.GMD.3. Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
 
MGSE9-12.G.SRT. Similarity, Right Triangles, and Trigonometry
Understand similarity in terms of similarity transformations
MGSE9-12.G.SRT.1. Verify experimentally the properties of dilations given by a center and a scale factor.
MGSE9-12.G.SRT.1a. The dilation of a line not passing through the center of the dilation results in a parallel line and leaves a line passing through the center unchanged.
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
MGSE9-12.G.SRT.1b. The dilation of a line segment is longer or shorter according to the ratio given by the scale factor.
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
MGSE9-12.G.SRT.2. Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain, using similarity transformations, the meaning of similarity for triangles as the equality of all corresponding pairs of angl
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
Prove theorems involving similarity
MGSE9-12.G.SRT.5. Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Flip Charts Math Grade 8
 
MGSE9-12.S.CP. Conditional Probability and the Rules of Probability
Understand independence and conditional probability and use them to interpret data
MGSE9-12.S.CP.2. Understand that if two events A and B are independent, the probability of A and B occurring together is the product of their probabilities, and that if the probability of two events A and B occurring together is the product of their probabilities, the two
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
MGSE9–12.N.RN. The Real Number System
Use properties of rational and irrational numbers.
MGSE9–12.N.RN.3. Explain why the sum or product of rational numbers is rational; why the sum of a rational number and an irrational number is irrational; and why the product of a nonzero rational number and an irrational number is irrational.
Flip Charts Math Grade 8
Flip Charts The Real Numbers
 

GA.MAGBA.Accelerated Geometry B/Algebra II

Accelerated Geometry B/Algebra II
MGSE9-12.A.APR. Arithmetic with Polynomials and Rational Expressions
Perform arithmetic operations on polynomials
MGSE9-12.A.APR.1. Add, subtract, and multiply polynomials; understand that polynomials form a system analogous to the integers in that they are closed under these operations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MGSE9-12.A.CED. Creating Equations
Create equations that describe numbers or relationships
MGSE9-12.A.CED.1. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear, quadratic, simple rational, and exponential functions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
MGSE9-12.A.CED.3. Represent constraints by equations or inequalities, and by systems of equation and/or inequalities, and interpret data points as possible (i.e. a solution) or not possible (i.e. a non-solution) under the established constraints.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
MGSE9-12.A.CED.4. Rearrange formulas to highlight a quantity of interest using the same reasoning as in solving equations. Examples: Rearrange Ohm’s law V = IR to highlight resistance R; Rearrange area of a circle formula A = π r^2 to highlight the radius r.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
MGSE9-12.A.REI. Reasoning with Equations and Inequalities
Represent and solve equations and inequalities graphically
MGSE9-12.A.REI.11. Using graphs, tables, or successive approximations, show that the solution to the equation f(x) = g(x) is the x-value where the y-values of f(x) and g(x) are the same.
Flip Charts Math Grade 8
 
MGSE9-12.A.SSE. Seeing Structure in Expressions
Write expressions in equivalent forms to solve problems
MGSE9-12.A.SSE.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
MGSE9-12.A.SSE.3c. Use the properties of exponents to transform expressions for exponential functions. For example, the expression 1.15^t, where t is in years, can be rewritten as [1.15^(1/12)]^(12t) ≈ 1.012^(12t) to reveal the approximate equivalent monthly interest rate i
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MGSE9-12.F.IF. Interpreting Functions
Interpret functions that arise in applications in terms of the context
MGSE9-12.F.IF.4. Using tables, graphs, and verbal descriptions, interpret the key characteristics of a function which models the relationship between two quantities. Sketch a graph showing key features including: intercepts; interval where the function is increasing, decr
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.F.IF.6. Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
Analyze functions using different representations
MGSE9-12.F.IF.7. Graph functions expressed algebraically and show key features of the graph both by hand and by using technology.
MGSE9-12.F.IF.7e. Graph exponential and logarithmic functions, showing intercepts and end behavior.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.F.IF.8. Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
MGSE9-12.F.IF.8b. Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02)^t, y = (0.97)^t, y = (1.01)^(12t), y = (1.2)^(t/10), and classify them as representing exponen
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MGSE9-12.G.GMD. Geometric Measurement and Dimension
Explain volume formulas and use them to solve problems
MGSE9-12.G.GMD.1. Give informal arguments for geometric formulas.
MGSE9-12.G.GMD.1a. Give informal arguments for the formulas of the circumference of a circle and area of a circle using dissection arguments and informal limit arguments.
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
 
MGSE9-12.G.GMD.3. Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
 
MGSE9-12.G.GPE. Expressing Geometric Properties with Equations
Use coordinates to prove simple geometric theorems algebraically
MGSE9-12.G.GPE.5. Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
 
MGSE9-12.G.GPE.7. Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
 
MGSE9-12.N.RN. The Real Number System
Extend the properties of exponents to rational exponents.
MGSE9-12.N.RN.1. Explain how the meaning of rational exponents follows from extending the properties of integer exponents to rational numbers, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^(1/3) to be the cube root of 5 beca
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MGSE9-12.N.RN.2. Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MGSE9-12.S.CP. Conditional Probability and the Rules of Probability
Understand independence and conditional probability and use them to interpret data
MGSE9-12.S.CP.2. Understand that if two events A and B are independent, the probability of A and B occurring together is the product of their probabilities, and that if the probability of two events A and B occurring together is the product of their probabilities, the two
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 

GA.MAI.Algebra I

Algebra I
MGSE9-12.A.APR. Arithmetic with Polynomials and Rational Expressions
Perform arithmetic operations on polynomials
MGSE9-12.A.APR.1. Add, subtract, and multiply polynomials; understand that polynomials form a system analogous to the integers in that they are closed under these operations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MGSE9-12.A.CED. Creating Equations
Create equations that describe numbers or relationships
MGSE9-12.A.CED.1. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear, quadratic, and exponential functions (integer inputs only).
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
MGSE9-12.A.CED.3. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret data points as possible (i.e. a solution) or not possible (i.e. a non-solution) under the established constraints.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
MGSE9-12.A.CED.4. Rearrange formulas to highlight a quantity of interest using the same reasoning as in solving equations. Examples: Rearrange Ohm’s law V = IR to highlight resistance R; Rearrange area of a circle formula A = π r^2 to highlight the radius r.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
MGSE9-12.A.REI. Reasoning with Equations and Inequalities
Understand solving equations as a process of reasoning and explain the reasoning
MGSE9-12.A.REI.1. Using algebraic properties and the properties of real numbers, justify the steps of a simple, one-solution equation. Students should justify their own steps, or if given two or more steps of an equation, explain the progression from one step to the next u
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
Represent and solve equations and inequalities graphically
MGSE9-12.A.REI.11. Using graphs, tables, or successive approximations, show that the solution to the equation f(x) = g(x) is the x-value where the y-values of f(x) and g(x) are the same.
Flip Charts Math Grade 8
 
MGSE9-12.A.REI.12. Graph the solution set to a linear inequality in two variables.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 
Solve equations and inequalities in one variable
MGSE9-12.A.REI.3. Solve linear equations and inequalities in one variable including equations with coefficients represented by letters. For example, given ax + 3 = 7, solve for x.
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
Solve systems of equations
MGSE9-12.A.REI.5. Show and explain why the elimination method works to solve a system of two-variable equations.
Flip Charts Math Grade 8
 
MGSE9-12.A.REI.6. Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
Flip Charts Math Grade 8
 
MGSE9-12.F.BF. Building Functions
Build a function that models a relationship between two quantities
MGSE9-12.F.BF.1. Write a function that describes a relationship between two quantities.
MGSE9-12.F.BF.1a. Determine an explicit expression and the recursive process (steps for calculation) from context. For example, if Jimmy starts out with $15 and earns $2 a day, the explicit expression “2x+15” can be described recursively (either in writing or verbally) as
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
MGSE9-12.F.IF. Interpreting Functions
Understand the concept of a function and use function notation
MGSE9-12.F.IF.1. Understand that a function from one set (the input, called the domain) to another set (the output, called the range) assigns to each element of the domain exactly one element of the range, i.e. each input value maps to exactly one output value. If f is a
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
MGSE9-12.F.IF.3. Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. (Generally, the scope of high school math defines this subset as the set of natural numbers 1,2,3,4...) By graphing or calculating terms, stud
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
 
Interpret functions that arise in applications in terms of the context
MGSE9-12.F.IF.4. Using tables, graphs, and verbal descriptions, interpret the key characteristics of a function which models the relationship between two quantities. Sketch a graph showing key features including: intercepts; interval where the function is increasing, decr
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.F.IF.6. Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
Analyze functions using different representations
MGSE9-12.F.IF.7. Graph functions expressed algebraically and show key features of the graph both by hand and by using technology.
MGSE9-12.F.IF.7a. Graph linear and quadratic functions and show intercepts, maxima, and minima (as determined by the function or by context).
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.F.IF.7e. Graph exponential functions, showing intercepts and end behavior.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.F.LE. Linear, Quadratic, and Exponential Models
Construct and compare linear, quadratic, and exponential models and solve problems
MGSE9-12.F.LE.1. Distinguish between situations that can be modeled with linear functions and with exponential functions.
MGSE9-12.F.LE.1a. Show that linear functions grow by equal differences over equal intervals and that exponential functions grow by equal factors over equal intervals. (This can be shown by algebraic proof, with a table showing differences, or by calculating average rates o
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.N.RN. The Real Number System
Use properties of rational and irrational numbers.
MGSE9-12.N.RN.3. Explain why the sum or product of rational numbers is rational; why the sum of a rational number and an irrational number is irrational; and why the product of a nonzero rational number and an irrational number is irrational.
Flip Charts Math Grade 8
Flip Charts The Real Numbers
 
MGSE9-12.S.ID. Interpreting Categorical and Quantitative Data
Summarize, represent, and interpret data on two categorical and quantitative variables
MGSE9-12.S.ID.5. Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
MGSE9-12.S.ID.6. Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
MGSE9-12.S.ID.6c. Using given or collected bivariate data, fit a linear function for a scatter plot that suggests a linear association.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 

GA.MAIIAA.Algebra II/Advanced Algebra

Algebra II/Advanced Algebra
MGSE9-12.A.APR. Arithmetic with Polynomials and Rational Expressions
Perform arithmetic operations on polynomials
MGSE9-12.A.APR.1. Add, subtract, and multiply polynomials; understand that polynomials form a system analogous to the integers in that they are closed under these operations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MGSE9-12.A.CED. Creating Equations
Create equations that describe numbers or relationships
MGSE9-12.A.CED.1. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear, quadratic, simple rational, and exponential functions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
MGSE9-12.A.CED.3. Represent constraints by equations or inequalities, and by systems of equation and/or inequalities, and interpret data points as possible (i.e. a solution) or not possible (i.e. a non-solution) under the established constraints.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
MGSE9-12.A.CED.4. Rearrange formulas to highlight a quantity of interest using the same reasoning as in solving equations. Examples: Rearrange Ohm’s law V = IR to highlight resistance R; Rearrange area of a circle formula A = π r^2 to highlight the radius r.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
MGSE9-12.A.REI. Reasoning with Equations and Inequalities
Represent and solve equations and inequalities graphically
MGSE9-12.A.REI.11. Using graphs, tables, or successive approximations, show that the solution to the equation f(x) = g(x) is the x-value where the y-values of f(x) and g(x) are the same.
Flip Charts Math Grade 8
 
MGSE9-12.A.SSE. Seeing Structure in Expressions
Write expressions in equivalent forms to solve problems
MGSE9-12.A.SSE.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
MGSE9-12.A.SSE.3c. Use the properties of exponents to transform expressions for exponential functions. For example, the expression 1.15^t, where t is in years, can be rewritten as [1.15^(1/12)]^(12t) ≈ 1.012^(12t) to reveal the approximate equivalent monthly interest rate i
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MGSE9-12.F.IF. Interpreting Functions
Interpret functions that arise in applications in terms of the context
MGSE9-12.F.IF.4. Using tables, graphs, and verbal descriptions, interpret the key characteristics of a function which models the relationship between two quantities. Sketch a graph showing key features including: intercepts; interval where the function is increasing, decr
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.F.IF.6. Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
Analyze functions using different representations
MGSE9-12.F.IF.7. Graph functions expressed algebraically and show key features of the graph both by hand and by using technology.
MGSE9-12.F.IF.7e. Graph exponential and logarithmic functions, showing intercepts and end behavior.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.F.IF.8. Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
MGSE9-12.F.IF.8b. Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02)^t, y = (0.97)^t, y = (1.01)^(12t), y = (1.2)^(t/10), and classify them as representing exponen
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MGSE9-12.N.RN. The Real Number System
Extend the properties of exponents to rational exponents.
MGSE9-12.N.RN.1. Explain how the meaning of rational exponents follows from extending the properties of integer exponents to rational numbers, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^(1/3) to be the cube root of 5 beca
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MGSE9-12.N.RN.2. Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MGSE9-12.S.IC. Making Inferences and Justifying Conclusions
Make inferences and justify conclusions from sample surveys, experiments, and observational studies
MGSE9-12.S.IC.5. Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
 
MGSE9-12.S.ID. Interpreting Categorical and Quantitative Data
Summarize, represent, and interpret data on a single count or measurement variable
MGSE9-12.S.ID.4. Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to est
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 

GA.MAMDM.Advanced Mathematical Decision Making

Advanced Mathematical Decision Making
MAMDMA. ALGEBRA - Students will explore the applications of functions, their characteristics and their use in modeling. Vectors and matrices are employed for solving problems.
MAMDMA1. Students will use vectors and matrices to organize and describe problem situations.
MAMDMA1b. Represent geometric transformations and solve problems using matrices in fields such as computer animations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
MAMDMD. DATA ANAYLSIS AND PROBABILITY - Students will explore representations of data and models of data as tools in the decision making.
MAMDMD3. Students will apply statistical methods to design, conduct, and analyze statistical studies.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
 
MAMDMD4. Students will use functions to model problem situations in both discrete and continuous relationships.
MAMDMD4b. Use linear, exponential, logistic, piecewise and sine functions to construct a model.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MAMDMG. GEOMETRY - Students apply tools to model geometric situations and solve problems. Students extend their knowledge of right triangle trigonometry.
MAMDMG1. Students will create and use two- and three-dimensional representations of authentic situations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
 
MAMDMN. NUMBER AND OPERATIONS - Students will extend their understanding and use of ratios, proportions to solve problems involving in decision making.
MAMDMN1. Students will extend the understanding of proportional reasoning, ratios, rates, and percents by applying them to various settings to include business, media, and consumerism.
MAMDMN1a. Use proportional reasoning to solve problems involving ratios.
Flip Charts Applying Percents
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
MAMDMN1c. Solve problems involving large quantities that are not easily measured.
Flip Charts Applying Percents
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
MM1P. Process Standards - The following process standards are essential to mastering each of the mathematics content standards. They emphasize critical dimensions of the mathematical proficiency that all students need.
MM1P1. Students will solve problems (using appropriate technology).
MM1P1a. Build new mathematical knowledge through problem solving.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MM1P1b. Solve problems that arise in mathematics and in other contexts.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MM1P1c. Apply and adapt a variety of appropriate strategies to solve problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MM1P1d. Monitor and reflect on the process of mathematical problem solving.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MM1P2. Students will reason and evaluate mathematical arguments.
MM1P2a. Recognize reasoning and proof as fundamental aspects of mathematics.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MM1P2b. Make and investigate mathematical conjecture.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MM1P2c. Develop and evaluate mathematical arguments and proofs.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MM1P2d. Select and use various types of reasoning and methods of proof.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MM1P3. Students will communicate mathematically.
MM1P3d. Use the language of mathematics to express mathematical ideas precisely.
Flip Charts Algebra Skills
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 

GA.MAMT.Advanced Mathematical Topics

Advanced Mathematical Topics
MAMTDM. DISCRETE MATHEMATICS - Students will demonstrate knowledge of discrete mathematics in the areas of graph theory, combinatorics, and game theory.
MAMTDM2. Students will explore counting principles such as: recurrence relations, Polya’s Enumeration Theorem, inclusion-exclusion, and the Pigeonhole principle.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
MAMTPR. PROOFS - Students will apply various proof techniques.
MAMTPR1. Students will utilize appropriate methods of proof such as: direct proof, proof by mathematical induction, proof by transposition, and proof by contradiction.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MAMTPR4. Students will prove previously recognized mathematical theorems, such as but not limited to the Pythagorean Theorem, the Minimax Theorem, the Binomial Theorem, and Cantor’s Theorem.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 

GA.MAPC.Accelerated Pre-Calculus

Accelerated Pre-Calculus
MGSE9-12.A.REI. Reasoning with Equations and Inequalities
Solve systems of equations
MGSE9-12.A.REI.7. Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = –3x and the circle x^2 + y^2 = 3.
Flip Charts Math Grade 8
 
MGSE9-12.F.IF. Interpreting Functions
Interpret functions that arise in applications in terms of the context
MGSE9-12.F.IF.4. Using tables, graphs, and verbal descriptions, interpret the key characteristics of a function which models the relationship between two quantities. Sketch a graph showing key features including: intercepts; interval where the function is increasing, decr
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.S.CP. Conditional Probability and the Rules of Probability
Use the rules of probability to compute probabilities of compound events in a uniform probability model
MGSE9-12.S.CP.9. Use permutations and combinations to compute probabilities of compound events and solve problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
MGSE9-12.S.IC. Making Inferences and Justifying Conclusions
Make inferences and justify conclusions from sample surveys, experiments, and observational studies
MGSE9-12.S.IC.5. Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
 
MGSE9-12.S.ID. Interpreting Categorical and Quantitative Data
Summarize, represent, and interpret data on a single count or measurement variable
MGSE9-12.S.ID.4. Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to est
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
MGSE9-12.S.MD. Use Probability to Make Decisions
Calculate expected values and use them to solve problems
MGSE9-12.S.MD.3. Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected value. For example, find the theoretical probability distribution for the number of correct answers
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
MGSE9-12.S.MD.4. Develop a probability distribution for a random variable defined for a sample space in which probabilities are assigned empirically; find the expected value. For example, find a current data distribution on the number of TV sets per household in the Unite
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
 

GA.MCA.Coordinate Algebra

Coordinate Algebra
MGSE9-12.A.CED. Creating Equations
Create equations that describe numbers or relationships
MGSE9-12.A.CED.1. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear, and exponential functions (integer inputs only).
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
MGSE9-12.A.CED.2. Create linear, and exponential equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. (The phrase “in two or more variables” refers to formulas like the compound interes
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.A.CED.3. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret data points as possible (i.e. a solution) or not possible (i.e. a non-solution) under the established constraints.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
MGSE9-12.A.CED.4. Rearrange formulas to highlight a quantity of interest using the same reasoning as in solving equations. Examples: Rearrange Ohm’s law V = IR to highlight resistance R.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
MGSE9-12.A.REI. Reasoning with Equations and Inequalities
Understand solving equations as a process of reasoning and explain the reasoning
MGSE9-12.A.REI.1. Using algebraic properties and the properties of real numbers, justify the steps of a simple, one-solution equation. Students should justify their own steps, or if given two or more steps of an equation, explain the progression from one step to the next u
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
Represent and solve equations and inequalities graphically
MGSE9-12.A.REI.11. Using graphs, tables, or successive approximations, show that the solution to the equation f(x) = g(x) is the x-value where the y-values of f(x) and g(x) are the same.
Flip Charts Math Grade 8
 
MGSE9-12.A.REI.12. Graph the solution set to a linear inequality in two variables.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 
Solve equations and inequalities in one variable
MGSE9-12.A.REI.3. Solve linear equations and inequalities in one variable including equations with coefficients represented by letters. For example, given ax + 3 = 7, solve for x.
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
Solve systems of equations
MGSE9-12.A.REI.5. Show and explain why the elimination method works to solve a system of two-variable equations.
Flip Charts Math Grade 8
 
MGSE9-12.A.REI.6. Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
Flip Charts Math Grade 8
 
MGSE9-12.F.BF. Building Functions
Build a function that models a relationship between two quantities
MGSE9-12.F.BF.1. Write a function that describes a relationship between two quantities.
MGSE9-12.F.BF.1a. Determine an explicit expression and the recursive process (steps for calculation) from context. For example, if Jimmy starts out with $15 and earns $2 a day, the explicit expression “2x+15” can be described recursively (either in writing or verbally) as
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
MGSE9-12.F.IF. Interpreting Functions
Understand the concept of a function and use function notation
MGSE9-12.F.IF.1. Understand that a function from one set (the input, called the domain) to another set (the output, called the range) assigns to each element of the domain exactly one element of the range, i.e. each input value maps to exactly one output value. If f is a
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
MGSE9-12.F.IF.3. Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. (Generally, the scope of high school math defines this subset as the set of natural numbers 1,2,3,4...) By graphing or calculating terms, stud
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
 
Interpret functions that arise in applications in terms of the context
MGSE9-12.F.IF.4. Using tables, graphs, and verbal descriptions, interpret the key characteristics of a function which models the relationship between two quantities. Sketch a graph showing key features including: intercepts; interval where the function is increasing, decr
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.F.IF.6. Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
Analyze functions using different representations
MGSE9-12.F.IF.7. Graph functions expressed algebraically and show key features of the graph both by hand and by using technology.
MGSE9-12.F.IF.7a. Graph linear functions and show intercepts, maxima, and minima (as determined by the function or by context).
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.F.IF.7e. Graph exponential functions, showing intercepts and end behavior.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.F.LE. Linear, Quadratic, and Exponential Models
Construct and compare linear, quadratic, and exponential models and solve problems
MGSE9-12.F.LE.1. Distinguish between situations that can be modeled with linear functions and with exponential functions.
MGSE9-12.F.LE.1a. Show that linear functions grow by equal differences over equal intervals and that exponential functions grow by equal factors over equal intervals. (This can be shown by algebraic proof, with a table showing differences, or by calculating average rates o
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.G.CO. Congruence
Experiment with transformations in the plane
MGSE9-12.G.CO.1. Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
 
MGSE9-12.G.CO.2. Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and an
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
MGSE9-12.G.CO.3. Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
MGSE9-12.G.CO.4. Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
MGSE9-12.G.CO.5. Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
MGSE9-12.G.GPE. Expressing Geometric Properties with Equations
Use coordinates to prove simple geometric theorems algebraically
MGSE9-12.G.GPE.5. Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
 
MGSE9-12.G.GPE.7. Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
 
MGSE9-12.S.ID. Interpreting Categorical and Quantitative Data
Summarize, represent, and interpret data on two categorical and quantitative variables
MGSE9-12.S.ID.5. Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
MGSE9-12.S.ID.6. Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
MGSE9-12.S.ID.6c. Using given or collected bivariate data, fit a linear function for a scatter plot that suggests a linear association.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 

GA.MEC.Engineering Calculus

Engineering Calculus
MECPS. PROCESS STANDARDS - The following process standards are essential to mastering each of the mathematics content standards. They emphasize critical dimensions of the mathematical proficiency that all students need.
MECPS1. Students will solve engineering-based calculus problems (using appropriate technology).
MECPS1a. Build new mathematical knowledge through problem solving.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MECPS1b. Solve problems that arise in mathematics and in other contexts.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MECPS1c. Apply and adapt a variety of appropriate strategies to solve problems, such as considering realistic constraints relevant to the design of a system, component, or process.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MECPS1d. Monitor and reflect on the process of mathematical problem solving and interpret problem solutions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MECPS2. Students will use visual and written communication to express basic design elements and will communicate mathematically.
MECPS2a. Organize and consolidate their mathematical thinking through communication.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MECPS2b. Communicate and use the language of mathematics to articulate their mathematical thinking coherently.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MECPS2c. Present a technical design, using computer-generated model, for an assigned design project.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MECPS3. Students will describe the history of technological advancement and make connections among mathematical ideas and to other disciplines.
MECPS3a. Recognize and use connections among mathematical and engineering ideas.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MECPS4. Students will represent mathematics in multiple ways.
MECPS4a. Create and use representations to organize, record, and communicate mathematical ideas.
Flip Charts Algebra Skills
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 

GA.MFA.Foundations of Algebra

Foundations of Algebra
MFAAA. Arithmetic to Algebra
Students will extend arithmetic operations to algebraic modeling.
MFAAA1. Students will generate and interpret equivalent numeric and algebraic expressions.
MFAAA1a. Apply properties of operations emphasizing when the commutative property applies. (MGSE7.EE.1)
Flip Charts Math Grade 8
Flip Charts The Real Numbers
 
MFAAA1b. Use area models to represent the distributive property and develop understandings of addition and multiplication (all positive rational numbers should be included in the models). (MGSE3.MD.7)
Flip Charts Math Grade 8
Flip Charts The Real Numbers
 
MFAAA2. Students will interpret and use the properties of exponents.
MFAAA2b. Use properties of integer exponents to find equivalent numerical expressions. For example, 3^2 x 3^(-5) = 3^(-3) = 1/(3^3) = 1/27. (MGSE8.EE.1)
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MFAAA2c. Evaluate square roots of perfect squares and cube roots of perfect cubes (MGSE8.EE.2)
Flip Charts Math Grade 8
Flip Charts The Real Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Real numbers
 
MFAAA2d. Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number. (MGSE8.EE.2)
Flip Charts Math Grade 8
Flip Charts The Real Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Real numbers
 
MFAEI. Equations and Inequalities
Students will solve, interpret, and create linear models using equations and inequalities.
MFAEI1. Students will create and solve equations and inequalities in one variable.
MFAEI1a. Use variables to represent an unknown number in a specified set. (MGSE.6.EE2,5,6)
Flip Charts Algebra Skills
Flip Charts Applying Percents
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
MFAEI1b. Explain each step in solving simple equations and inequalities using the equality properties of numbers. (MGSE9-12.A.REI.1)
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
 
MFAEI1d. Represent and find solutions graphically.
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
MFAEI1e. Use variables to solve real-world and mathematical problems. (MGSE6.EE.7,MGSE7.EE.4)
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
MFAEI2. Students will use units as a way to understand problems and guide the solutions of multi-step problems.
MFAEI2c. Graph points in all four quadrants of the coordinate plane. (MGSE6.NS.8)
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
MFAEI3. Students will create algebraic models in two variables.
MFAEI3c. Represent solutions to systems of equations graphically or by using a table of values. (MGSE6.EE.5; MGSE7.EE3; MGSE8.EE.8; MGSE9-12.A.CED.2)
Flip Charts Math Grade 8
 
MFAEI3d. Analyze the reasonableness of the solutions of systems of equations within a given context. (MGSE6.EE.5,6,MGSE7.EE4)
Flip Charts Math Grade 8
 
MFAEI4. Students will solve literal equations.
MFAEI4a. Solve for any variable in a multi-variable equation. (MGSE6.EE.9,MGSE9-12.A.REI.3)
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
MFAEI4b. Rearrange formulas to highlight a particular variable using the same reasoning as in solving equations. For example, solve for the base in A = 1/2 bh. (MGSE9-12.A.CED.4)
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
MFANSQ. Number Sense and Quantity
Students will compare different representations of numbers (i.e. fractions, decimals, radicals, etc.) and perform basic operations using these different representations.
MFANSQ1. Students will analyze number relationships.
MFANSQ1b. Understand a fraction a/b as a multiple of 1/b. (MGSE4.NF.4)
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
 
MFANSQ2. Students will conceptualize positive and negative numbers (including decimals and fractions).
MFANSQ2c. Explain meanings of real numbers in a real world context. (MGSE6.NS.5)
Flip Charts Math Grade 8
Flip Charts The Real Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Real numbers
 
MFANSQ3. Students will recognize that there are numbers that are not rational, and approximate them with rational numbers.
MFANSQ3a. Find an estimated decimal expansion of an irrational number locating the approximations on a number line. For example, for √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue this pattern in order to obtain better ap
Flip Charts Math Grade 8
Flip Charts The Real Numbers
 
MFANSQ3b. Explain the results of adding and multiplying with rational and irrational numbers. (MGSE9-12.N.RN.3)
Flip Charts Math Grade 8
Flip Charts The Real Numbers
 
MFANSQ4. Students will apply and extend previous understanding of addition, subtraction, multiplication, and division.
MFANSQ4b. Find sums, differences, products, and quotients of all forms of rational numbers, stressing the conceptual understanding of these operations. (MGSE7.NS.1,2)
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
 
MFANSQ4d. Illustrate and explain calculations using models and line diagrams. (MGSE7.NS.1,2)
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
 
MFAPR. Proportional Reasoning
Students will use ratios to solve real-world and mathematical problems.
MFAPR1. Students will explain equivalent ratios by using a variety of models. For example, tables of values, tape diagrams, bar models, double number line diagrams, and equations. (MGSE6.RP.3)
Flip Charts Applying Percents
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
MFAPR2. Students will recognize and represent proportional relationships between quantities.
MFAPR2a. Relate proportionality to fraction equivalence and division. For example, 3/6 is equal to 4/8 because both yield a quotient of 1/2 and, in both cases, the denominator is double the value of the numerator. (MGSE4.NF.1)
Flip Charts Applying Percents
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
MFAPR2b. Understand real-world rate/ratio/percent problems by finding the whole given a part and find a part given the whole. (MGSE6.RP.1,2,3; MGSE7.RP.1,2)
Flip Charts Applying Percents
Flip Charts Math Grade 8
Flip Charts The Real Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
MFAPR2c. Use proportional relationships to solve multistep ratio and percent problems. (MGSE7.RP.2,3)
Flip Charts Applying Percents
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
MFAPR3. Students will graph proportional relationships.
MFAPR3a. Interpret unit rates as slopes of graphs. (MGSE8.EE.5)
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
 
MFAPR3b. Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane. (MGSE8.EE.6)
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MFAQR. Quantitative Reasoning with Functions
Students will create function statements and analyze relationships among pairs of variables using graphs, tables, and equations.
MFAQR1. Students will understand characteristics of functions.
MFAQR1a. Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. (MGSE9-12.F.IF.1)
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
MFAQR1c. Graph functions using sets of ordered pairs consisting of an input and the corresponding output. (MGSE8.F.1, 2)
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
MFAQR2. Students will compare and graph functions.
MFAQR2b. Graph by hand simple functions expressed symbolically (use all four quadrants). (MGSE9-12.F.IF.7)
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MFAQR2e. Analyze graphs of functions for key features (intercepts, intervals of increase/decrease, maximums/minimums, symmetries, and end behavior) based on context. (MGSE9-12.F.IF.4,7)
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MFAQR3. Students will construct and interpret functions.
MFAQR3a. Write a function that describes a relationship between two quantities. (MGSE8.F.4, MGSE9-12.F.BF.1)
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
MFAQR3b. Use variables to represent two quantities in a real-world problem that change in relationship to one another (conceptual understanding of a variable). (MGSE6.EE.9)
Flip Charts Algebra Skills
Flip Charts Applying Percents
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 

GA.MG.Geometry

Geometry
MGSE9-12.G.CO. Congruence
Experiment with transformations in the plane
MGSE9-12.G.CO.1. Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
 
MGSE9-12.G.CO.2. Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and an
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
MGSE9-12.G.CO.3. Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
MGSE9-12.G.CO.4. Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
MGSE9-12.G.CO.5. Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
Understand congruence in terms of rigid motions
MGSE9-12.G.CO.6. Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
Prove geometric theorems
MGSE9-12.G.CO.9. Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line
Flip Charts Math Grade 8
Flip Charts Plane Geometry
 
MGSE9-12.G.GMD. Geometric Measurement and Dimension
Explain volume formulas and use them to solve problems
MGSE9-12.G.GMD.1. Give informal arguments for geometric formulas.
MGSE9-12.G.GMD.1a. Give informal arguments for the formulas of the circumference of a circle and area of a circle using dissection arguments and informal limit arguments.
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
 
MGSE9-12.G.GMD.3. Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
 
MGSE9-12.G.GPE. Expressing Geometric Properties with Equations
Use coordinates to prove simple geometric theorems algebraically
MGSE9-12.G.GPE.5. Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
 
MGSE9-12.G.GPE.7. Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
 
MGSE9-12.G.SRT. Similarity, Right Triangles, and Trigonometry
Understand similarity in terms of similarity transformations
MGSE9-12.G.SRT.1. Verify experimentally the properties of dilations given by a center and a scale factor.
MGSE9-12.G.SRT.1a. The dilation of a line not passing through the center of the dilation results in a parallel line and leaves a line passing through the center unchanged.
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
MGSE9-12.G.SRT.1b. The dilation of a line segment is longer or shorter according to the ratio given by the scale factor.
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
MGSE9-12.G.SRT.2. Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain, using similarity transformations, the meaning of similarity for triangles as the equality of all corresponding pairs of angl
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
Prove theorems involving similarity
MGSE9-12.G.SRT.5. Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Flip Charts Math Grade 8
 
MGSE9-12.S.CP. Conditional Probability and the Rules of Probability
Understand independence and conditional probability and use them to interpret data
MGSE9-12.S.CP.2. Understand that if two events A and B are independent, the probability of A and B occurring together is the product of their probabilities, and that if the probability of two events A and B occurring together is the product of their probabilities, the two
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 

GA.MHM.History of Mathematics

History of Mathematics
MHMA. ALGEBRA - Students will investigate historical equation solving techniques in both algebraic and geometric form; understand and use the axiomatic method of abstract algebra; compute defined products on sets of complex numbers; solve linear congruences; de
MHMA1. Students will explore and use historical methods for expressing and solving equations.
MHMA1d. Translate into modern notation problems appearing in ancient and medieval texts that involve linear, quadratic, or cubic equations and solve them.
Flip Charts Algebra Skills
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
MHMP. Process Standards - The following process standards are essential to mastering each of the mathematics content standards. They emphasize critical dimensions of the mathematical proficiency that all students need.
MHMP1. Students will solve problems (using appropriate technology).
MHMP1a. Build new mathematical knowledge through problem solving.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MHMP1b. Solve problems that arise in mathematics and in other contexts.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MHMP1c. Apply and adapt a variety of appropriate strategies to solve problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MHMP1d. Monitor and reflect on the process of mathematical problem solving.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MHMP2. Students will reason and evaluate mathematical arguments.
MHMP2a. Recognize reasoning and proof as fundamental aspects of mathematics.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MHMP2b. Make and investigate mathematical conjectures.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MHMP2c. Develop and evaluate mathematical arguments and proofs.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MHMP2d. Select and use various types of reasoning and methods of proof.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MHMP3. Students will communicate mathematically.
MHMP3d. Use the language of mathematics to express mathematical ideas precisely.
Flip Charts Algebra Skills
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 

GA.MMC.Multivariable Calculus

Multivariable Calculus
MMCP. Process Standards - The following process standards are essential to mastering each of the mathematics content standards. They emphasize critical dimensions of the mathematical proficiency that all students need.
MMCP1. Students will solve problems (using appropriate technology).
MMCP1a. Build new mathematical knowledge through problem solving.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MMCP1b. Solve problems that arise in mathematics and in other contexts.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MMCP1c. Apply and adapt a variety of appropriate strategies to solve problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MMCP1d. Monitor and reflect on the process of mathematical problem solving.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MMCP2. Students will reason and evaluate mathematical arguments.
MMCP2a. Recognize reasoning and proof as fundamental aspects of mathematics.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MMCP2b. Make and investigate mathematical conjectures.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MMCP2c. Develop and evaluate mathematical arguments and proofs.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MMCP2d. Select and use various types of reasoning and methods of proof.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MMCP3. Students will communicate mathematically.
MMCP3d. Use the language of mathematics to express mathematical ideas precisely.
Flip Charts Algebra Skills
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 

GA.MMF.Mathematics of Finance

Mathematics of Finance
MMFA. ALGEBRA - Students will explore the applications of functions, their characteristics, their use in modeling and matrices for solving problems in financial situations.
MMFA1. Students will use basic functions to solve and model problems related to stock transactions, banking and credit, employment and taxes, rent and mortgages, retirement planning, and other related finance applications.
MMFA1d. Apply exponential and logarithmic functions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
MMFA3. Students will use formulas to investigate investments in banking and retirement planning.
MMFA3a. Apply simple and compound interest formulas.
Flip Charts Applying Percents
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent
 
MMFD. DATA ANALYSIS AND STATISTICS - Students will explore representations and models of data as tools in the decision making process of finance.
MMFD1. Students will use measures of central tendency to investigate data found in the stock market, retirement planning, transportation, budgeting, and home rental or ownership.
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
MMFD2. Students will use data displays including bar graphs, line graphs, stock bar charts, candlestick charts, box and whisker plots, stem and leaf plots, circle graphs, and scatterplots to recognize and interpret trends related to the stock market, retirement
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
MMFD3. Students will use linear, quadratic, and cubic regressions as well as the correlation coefficient to move supply and demand, revenue, profit, and other financial problem situations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 
MMFG. GEOMETRY - Students will use geometry to explore real-world applications including, but not limited to, floor plans, square footage, models of furniture arrangements, trip planning, and accident investigations.
MMFG1. Students will apply the concepts of area, volume, scale factors, and scale drawings to planning for housing.
Flip Charts Algebra Skills
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
 
MMFP. PROCESS STANDARDS - The following process standards are essential to mastering each of the mathematics content standards. They emphasize critical dimensions of the mathematical proficiency that all students need.
MMFP1. Students will solve problems (using appropriate technology).
MMFP1a. Build new mathematical knowledge through problem solving.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MMFP1b. Solve problems that arise in mathematics and in other contexts.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MMFP1c. Apply and adapt a variety of appropriate strategies to solve problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MMFP1d. Monitor and reflect on the process of mathematical problem solving.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MMFP2. Students will reason and evaluate mathematical arguments.
MMFP2a. Recognize reasoning and proof as fundamental aspects of mathematics.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MMFP2b. Make and investigate mathematical conjecture.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MMFP2c. Develop and evaluate mathematical arguments and proofs.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MMFP2d. Select and use various types of reasoning and methods of proof.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MMFP3. Students will communicate mathematically.
MMFP3d. Use the language of mathematics to express mathematical ideas precisely.
Flip Charts Algebra Skills
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 

GA.MMIG.Mathematics of Industry and Government

Mathematics of Industry and Government
MMIGP. PROCESS STANDARDS - The following process standards are essential to mastering each of the mathematics content standards. They emphasize critical dimensions of the mathematical proficiency that all students need.
MMIGP1. Students will solve problems (using appropriate technology).
MMIGP1a. Build new mathematical knowledge through problem solving.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MMIGP1b. Solve problems that arise in mathematics and in other contexts.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MMIGP1c. Apply and adapt a variety of appropriate strategies to solve problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MMIGP1d. Monitor and reflect on the process of mathematical problem solving.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MMIGP2. Students will reason and evaluate mathematical arguments.
MMIGP2a. Recognize reasoning and proof as fundamental aspects of mathematics.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MMIGP2b. Make and investigate mathematical conjecture.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MMIGP2c. Develop and evaluate mathematical arguments and proofs.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MMIGP2d. Select and use various types of reasoning and methods of proof.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MMIGP3. Students will communicate mathematically.
MMIGP3d. Use the language of mathematics to express mathematical ideas precisely.
Flip Charts Algebra Skills
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
MMIGPD. PROBABILISTIC DECISION MAKING - Students will use normal and other (e.g., binomial, geometric, and Poisson) distributions as well as simulations to make appropriate decisions.
MMIGPD1. Students will use properties of normal distributions to make decisions about optimization and efficiency.
MMIGPD1a. Calculate theoretical and empirical probabilities using standardized and non-standardized data.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
MMIGPD2. Students will use properties of other distributions (e.g. binomial, geometric, Poisson) to make decisions about optimization and efficiency.
MMIGPD2a. Calculate theoretical and empirical probabilities using standardized and non-standardized data.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 

GA.MPC.Pre-Calculus

Pre-Calculus
MGSE9-12.A.REI. Reasoning with Equations and Inequalities
Solve systems of equations
MGSE9-12.A.REI.7. Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = –3x and the circle x^2 + y^2 = 3.
Flip Charts Math Grade 8
 
MGSE9-12.F.IF. Interpreting Functions
Interpret functions that arise in applications in terms of the context
MGSE9-12.F.IF.4. Using tables, graphs, and verbal descriptions, interpret the key characteristics of a function which models the relationship between two quantities. Sketch a graph showing key features including: intercepts; interval where the function is increasing, decr
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MGSE9-12.S.CP. Conditional Probability and the Rules of Probability
Use the rules of probability to compute probabilities of compound events in a uniform probability model
MGSE9-12.S.CP.9. Use permutations and combinations to compute probabilities of compound events and solve problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
MGSE9-12.S.MD. Use Probability to Make Decisions
Calculate expected values and use them to solve problems
MGSE9-12.S.MD.3. Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected value. For example, find the theoretical probability distribution for the number of correct answers
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
MGSE9-12.S.MD.4. Develop a probability distribution for a random variable defined for a sample space in which probabilities are assigned empirically; find the expected value. For example, find a current data distribution on the number of TV sets per household in the Unite
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
 

GA.MPGS.Standards for Mathematical Practice

Standards for Mathematical Practice
MPGS.1. Make sense of problems and persevere in solving them.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MPGS.2. Reason abstractly and quantitatively.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 

GA.MSR.Statistical Reasoning

Statistical Reasoning
MSRAD. Analyze Data - Students will select appropriate graphical and numerical methods and use these methods to analyze the data.
MSRAD1. Students will use distributions to identify the key features of the data collected. Students will describe the distribution for quantitative and categorical data.
MSRAD1a. Describe the distribution for quantitative data.
MSRAD1a.iv. Describe and interpret any outliers or gaps in the distribution.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
MSRAD2. Students will use distributions to compare two or more groups. Students will compare two or more groups by analyzing distributions.
MSRAD2a. Construct appropriate graphical displays of distributions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
MSRAD3. Students will determine if an association exists between two variables (pattern or trend in bivariate data) and use values of one variable to predict values of another variable. Students will analyze associations between variables and make predictions fro
MSRAD3a. Analyze associations between two variables.
MSRAD3a.ii. Create two-way tables for two-variable categorical data.
Flip Charts Math Grade 8
 
MSRAD3a.iii. Analyze patterns and trends in data displays.
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
MSRAD3b. Make predictions and draw conclusions from two-variable data based on data displays.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
MSRCD. Collect Data - Students will design and implement a plan to collect the appropriate data to answer the statistical question.
MSRCD2. Students will understand that randomness should be incorporated into a sampling or experimental procedure. Students will be able to implement a reasonable random method for selecting a sample or for assigning treatments in an experiment.
MSRCD2a. Implement a simple random sample.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
 
MSRFQ. Formulate Questions - Students will formulate questions to clarify the problem at hand and formulate one (or more) questions that can be answered with data.
MSRFQ1. Students will apply the statistical method to real-world situations.
MSRFQ1b. Collect data by designing a plan to collect appropriate data and employ the plan to collect the data.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
 
MSRFQ1c. Analyze data by selecting appropriate graphical and numerical methods and using these methods to analyze the data.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
 
MSRFQ1d. Interpret results by interpreting the analysis and relating the interpretation to the original question.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
MSRFQ2. Students will identify whether the data are categorical or quantitative (numerical). Students will be able to identify the difference between categorical and quantitative (numerical) data.
MSRFQ2a. Determine the appropriate graphical display for each type of data.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data