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MS.AI.Algebra I

Algebra I
AI.A-APR. Algebra: Arithmetic with Polynomials and Rational Expressions (A-APR)
Perform arithmetic operations on polynomials
A-APR.1. Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
AI.A-CED. Algebra: Creating Equations (A-CED)
Create equations that describe numbers or relationships
A-CED.1. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
A-CED.2. Create equations in two variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
A-CED.3. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. For example, represent inequalities describing nutritional and cost constra
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
A-CED.4. Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
AI.A-REI. Algebra: Reasoning with Equations and Inequalities (A-REI)
Solve systems of equations
A-REI.5. Given a system of two equations in two variables, show and explain why the sum of equivalent forms of the equations produces the same solution as the original system.
Flip Charts Math Grade 8
 
A-REI.6. Solve systems of linear equations algebraically, exactly, and graphically while focusing on pairs of linear equations in two variables.
Flip Charts Math Grade 8
 
Understand solving equations as a process of reasoning and explain the reasoning
A-REI.1. Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
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
A-REI.11. Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of va
Flip Charts Math Grade 8
 
A-REI.12. Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the correspondin
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 
Solve equations and inequalities in one variable
A-REI.3. Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
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
 
AI.A-SSE. Algebra: Seeing Structure in Expressions (A-SSE)
Write expressions in equivalent forms to solve problems
A-SSE.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
A-SSE.3.c. Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15^t can be rewritten as [1.15^(1/12)]^12t ≈ 1.012^12t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
AI.F-BF. Functions: Building Functions (F-BF)
Build a function that models a relationship between two quantities
F-BF.1. Write a function that describes a relationship between two quantities.
F-BF.1.a. Determine an explicit expression or steps for calculation from a context.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
AI.F-IF. Functions: Interpreting Functions (F-IF)
Analyze functions using different representations
F-IF.7. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
F-IF.7.a. Graph functions (linear and quadratic) and show intercepts, maxima, and minima.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
Understand the concept of a function and use function notation
F-IF.1. 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. If f is a function and x is an element of its domain, then f(x) denotes the output of f c
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
F-IF.3. Recognize that sequences are functions whose domain is a subset of the integers.
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
 
Interpret functions that arise in applications in terms of the context
F-IF.4. For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercep
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
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
 
AI.F-LE. Functions: Linear, Quadratic, and Exponential Models (F-LE)
Construct and compare linear, quadratic, and exponential models and solve problems
F-LE.1. Distinguish between situations that can be modeled with linear functions and with exponential functions.
F-LE.1.a. Prove that linear functions grow by equal differences over equal intervals and that exponential functions grow by equal factors over equal intervals.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
AI.N-RN. Number and Quantity: The Real Number System (N-RN)
Use properties of rational and irrational numbers
N-RN.3. Explain why: the sum or product of two rational numbers is rational; the sum of a rational number and an irrational number is irrational; and the product of a nonzero rational number and an irrational number is irrational.
Flip Charts Math Grade 8
Flip Charts The Real Numbers
 
AI.S-ID. Statistics and Probability: Interpreting Categorical and Quantitative Data (S-ID)
Summarize, represent, and interpret data on two categorical and quantitative variables
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
 
S-ID.6. Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
S-ID.6.b. Informally assess the fit of a function by plotting and analyzing residuals.
Flip Charts Math Grade 8
 
S-ID.6.c. Fit a linear function for a scatter plot that suggests a linear association.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 

MS.AII.Algebra II

Algebra II
AII.A-CED. Algebra: Creating Equations (A-CED)
Create equations that describe numbers or relationships
A-CED.1. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
A-CED.2. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. [Note this standard appears in previous courses with a slight variation in the standard language.]
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
A-CED.3. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
AII.A-REI. Algebra: Reasoning with Equations and Inequalities (A-REI)
Represent and solve equations and inequalities graphically
A-REI.11. Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of va
Flip Charts Math Grade 8
 
Understand solving equations as a process of reasoning and explain the reasoning
A-REI.1. Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
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
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
 
AII.A-SSE. Algebra: Seeing Structure in Expressions (A-SSE)
Write expressions in equivalent forms to solve problems
A-SSE.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
A-SSE.3.c. Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15t can be rewritten as [1.15^(1/12)]^12t ≈ 1.012^12t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
AII.F-BF. Functions: Building Functions (F-BF)
Build a function that models a relationship between two quantities
F-BF.1. Write a function that describes a relationship between two quantities.
F-BF.1.a. Determine an explicit expression, a recursive process, or steps for calculation from a context.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
AII.F-IF. Functions: Interpreting Functions (F-IF)
Analyze functions using different representations
F-IF.8. Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
F-IF.8.b. 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 exponential gro
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
Understand the concept of a function and use function notation
F-IF.3. Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n+1) = f(n) + f(n-1) for n ≥ 1.
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
 
Interpret functions that arise in applications in terms of the context
F-IF.4. For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercep
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
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
 
AII.N-RN. Number and Quantity: The Real Number System (N-RN)
Extend the properties of exponents to rational exponents
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
 
AII.S-CP. Statistics and Probability: Conditional Probability and the Rules of Probability (S-CP)
Understand independence and conditional probability and use them to interpret data
S-CP.2. Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 

MS.AIII.Algebra III

Algebra III
AIII.A. Algebra
Analyze and manipulate functions
AIII.A.8. Determine characteristics of graphs of parent functions (domain/range, increasing/decreasing intervals, intercepts, symmetry, end behavior, and asymptotic behavior).
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
AIII.F. Functions
Analyze functions using different representations
AIII.F.23. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
AIII.G. Geometry
Recognize, sketch, and transform graphs of functions
AIII.G.38. Describe the attributes of graphs and the general equations of parent functions (linear, quadratic, cubic, absolute value, rational, exponential, logarithmic, square root, cube root, and greatest integer).
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
AIII.SP. Statistics and Probability
Explore and apply fundamental principles of probability.
AIII.SP.46. Prove statements using mathematical induction.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 

MS.C.Calculus

Calculus
C.A. Algebra
Demonstrate basic knowledge of functions, including their behavior and characteristics
C.A.4. Predict and explain the characteristics and behavior of functions and their graphs (domain, range, increasing/decreasing intervals, intercepts, symmetry, and end behavior).
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
C.NQ. Number and Quantity
Compute and determine the reasonableness of results in mathematical and real world situations
C.NQ.3. Prove statements using mathematical induction.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 

MS.FAC.Foundations of Algebra Course

Foundations of Algebra Course
FAC.EI. Equations and Inequalities
FAC.EI.10. Graph the solution point of an equation and the solution set of an inequality in one variable on a horizontal number line. For inequalities, be able to interpret and write the solution set in a variety of ways (e.g., set notation).
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
 
FAC.EI.11. Justify when linear equations in one variable will yield one solution, infinitely many solutions, or no solution. (8.EE.7a)
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
 
FAC.EI.2. Create expressions that can be modeled by a real-world context.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
FAC.EI.4. Simplify and evaluate numerical and algebraic expressions. (7.EE.1)
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
FAC.EI.5. Compare and contrast an expression and an equation and give examples of each.
Flip Charts Algebra Skills
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
FAC.EI.6. Given an equation, solve for a specified variable of degree one (i.e. isolate a variable). (6.EE.7, 7.EE.4)
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
FAC.EI.7. Fluently solve and check multi-step equations and inequalities with an emphasis on the distributive property, variables on both sides, and rational coefficients. Explain each step when solving a multistep equation and inequality. Justify each step using t
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
 
FAC.EI.8. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. (7.EE.4a)
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
 
FAC.EI.9. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Solve inequalities of these forms fluently. (7.EE.4b)
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
 
FAC.F. Functions
FAC.F.12. 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. Use function notation, where appropriate. (F-IF.1, F-IF.2)
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
FAC.F.13. Compare and contrast a function and a relation. Use appropriate strategies to assess whether a given situation represents a function or a relation (e.g,. the vertical line test).
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
FAC.F.15. Determine the rate of change of a linear function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. (8.F.4) Use the rate of change to determine if two lines are parallel, perpendicular, o
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
FAC.F.16. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values. (8.F.4)
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
FAC.F.17. Create and graph the equation of a linear function given the rate of change and y-intercept. Compare and contrast up to three linear functions written in a various forms (i.e., point-slope, slope-intercept, standard form).
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
FAC.F.18. Given two points, a graph, a table of values, a mapping, or a real-world context determine the linear function that models this information. Fluently convert between the point-slope, slope-intercept, and standard form of a line.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
FAC.F.21. Describe the following characteristics of linear and quadratic parent functions by inspection: domain/range, increasing/decreasing intervals, intercepts, symmetry, and asymptotic behavior. Identify each characteristic in set notation or words, where appro
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
FAC.F.22. Graph a system of two functions, f(x) and g(x), on the same Coordinate Plane by hand for simple cases, and with technology for complicated cases. Explain the relationship between the point(s) of intersection and the solution to the system. Determine the s
Flip Charts Math Grade 8
 
FAC.F.23. With accuracy, graph the solutions to a linear inequality in two variables as a half-plane, and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes on the same Coordinate Plane. (
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 
FAC.F.25. Identify when systems of equations and inequalities have constraints. (A-CED.3)
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
FAC.G. Geometry
FAC.G.38. Fluently use formulas and/or appropriate measuring tools to find length and angle measures, perimeter, area, volume, and surface area of polygons, circles, spheres, cones, cylinders, pyramids, and composite or irregular figures. Use them to solve real-wor
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 Three dimensional geometry/Measurement
 
FAC.P. Polynomials
FAC.P.32. Add and subtract polynomials using appropriate strategies (e.g. by using Algebra Tiles).
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
FAC.S. Statistics
FAC.S.40. Without technology, fluently calculate the measures of central tendency (mean, median, mode), measures of spread (range, interquartile range), and understand the impact of extreme values (outliers) on each of these values. (6.SP.5, 8.SP.1, S-ID.3) Justify
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
 
FAC.S.41. Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear associa
Flip Charts Math Grade 8
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 Using graphs to analyze data
 
FAC.S.43. For scatter plots that suggest a linear association, informally fit a straight line and predict the equation for the line of best fit. (8.SP.2)
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 

MS.G.Geometry

Geometry
G-CO. Geometry: Congruence (G-CO)
Prove geometric theorems
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
 
Experiment with transformations in the plane
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
 
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
 
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
 
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
 
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
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
 
G-GMD. Geometry: Geometric Measurement and Dimension (G-GMD)
Explain volume formulas and use them to solve problems
G-GMD.1. Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
 
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
 
G-GPE. Geometry: Expressing Geometric Properties with Equations (G-GPE)
Use coordinates to prove simple geometric theorems algebraically
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
 
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
 
G-SRT. Geometry: Similarity, Right Triangles, and Trigonometry (G-SRT)
Understand similarity in terms of similarity transformations
G-SRT.1. Verify experimentally the properties of dilations given by a center and a scale factor:
G-SRT.1.a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
G-SRT.1.b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
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 angles
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
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
 

MS.IMI.Integrated Mathematics I

Integrated Mathematics I
IMI.A-CED. Algebra: Creating Equations (A-CED)
Create equations that describe numbers or relationships
A-CED.1. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
A-CED.2. Create equations in two variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. [Note this standard appears in future courses with a slight variation in the standard language.]
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
A-CED.3. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. For example, represent inequalities describing nutritional and cost constra
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
A-CED.4. Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
IMI.A-REI. Algebra: Reasoning with Equations and Inequalities (A-REI)
Represent and solve equations and inequalities graphically
A-REI.11. Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of va
Flip Charts Math Grade 8
 
A-REI.12. Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the correspondin
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 
Solve equations and inequalities in one variable
A-REI.3. Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
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
A-REI.5. Given a system of two equations in two variables, show and explain why the sum of equivalent forms of the equations produces the same solution as the original system.
Flip Charts Math Grade 8
 
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
 
IMI.A-SSE. Algebra: Seeing Structure in Expressions (A-SSE)
Write expressions in equivalent forms to solve problems
A-SSE.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
A-SSE.3.c. Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15t can be rewritten as [1.15^(1/12)]^(12t) ≈ 1.012^12t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
IMI.F-BF. Functions: Building Functions (F-BF)
Build a function that models a relationship between two quantities
F-BF.1. Write a function that describes a relationship between two quantities.
F-BF.1.a. Determine an explicit expression, a recursive process, or steps for calculation from a context.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
IMI.F-IF. Functions: Interpreting Functions (F-IF)
Analyze functions using different representations
F-IF.7. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
F-IF.7.a. Graph functions (linear and quadratic) and show intercepts, maxima, and minima.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
Understand the concept of a function and use function notation
F-IF.1. 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. If f is a function and x is an element of its domain, then f(x) denotes the output of f c
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
F-IF.3. Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n+1) = f(n) + f(n-1) for n ≥ 1.
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
 
Interpret functions that arise in applications in terms of the context
F-IF.4. For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercep
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
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
 
IMI.F-LE. Functions: Linear, Quadratic, and Exponential Models (F-LE)
Construct and compare linear, quadratic, and exponential models and solve problems
F-LE.1. Distinguish between situations that can be modeled with linear functions and with exponential functions.
F-LE.1.a. Prove that linear functions grow by equal differences over equal intervals and that exponential functions grow by equal factors over equal intervals.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
IMI.G-CO. Geometry: Congruence (G-CO)
Prove geometric theorems
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
 
Experiment with transformations in the plane
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
 
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
 
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
 
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
 
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
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
 
IMI.S-ID. Statistics and Probability: Interpreting Categorical and Quantitative Data (S-ID)
Summarize, represent, and interpret data on two categorical and quantitative variables
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
 
S-ID.6. Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
S-ID.6.c. Fit a linear function for a scatter plot that suggests a linear association.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 

MS.IMII.Integrated Mathematics II

Integrated Mathematics II
IMII.A-APR. Algebra: Arithmetic with Polynomials and Rational Expressions (A-APR)
Perform arithmetic operations on polynomials
A-APR.1. Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
IMII.A-CED. Algebra: Creating Equations (A-CED)
Create equations that describe numbers or relationships
A-CED.1. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
A-CED.2. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. [Note this standard appears in previous courses with a slight variation in the standard language.]
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
A-CED.3. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
A-CED.4. Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
IMII.A-REI. Algebra: Reasoning with Equations and Inequalities (A-REI)
Understand solving equations as a process of reasoning and explain the reasoning
A-REI.1. Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
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
A-REI.6. Solve systems of linear equations algebraically, exactly, approximately, and graphically while focusing on pairs of linear equations in two variables.
Flip Charts Math Grade 8
 
IMII.F-BF. Functions: Building Functions (F-BF)
Build a function that models a relationship between two quantities
F-BF.1. Write a function that describes a relationship between two quantities.
F-BF.1.a. Determine an explicit expression, a recursive process, or steps for calculation from a context.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
IMII.F-IF. Functions: Interpreting Functions (F-IF)
Interpret functions that arise in applications in terms of the context
F-IF.4. For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercep
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
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
F-IF.7. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
F-IF.7.a. Graph linear and quadratic functions and show intercepts, maxima, and minima.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
F-IF.8. Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
F-IF.8.b. 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 exponenti
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
IMII.G-GMD. Geometry: Geometric Measurement and Dimension (G-GMD)
Explain volume formulas and use them to solve problems
G-GMD.1. Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
 
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
 
IMII.G-SRT. Geometry: Similarity, Right Triangles, and Trigonometry (G-SRT)
Understand similarity in terms of similarity transformations
G-SRT.1. Verify experimentally the properties of dilations given by a center and a scale factor:
G-SRT.1.a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
G-SRT.1.b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
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 angles
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 using similarity
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
 
IMII.N-RN. Number and Quantity: The Real Number System (N-RN)
Extend the properties of exponents to rational exponents
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
 
Use properties of rational and irrational numbers
N-RN.3. Explain why: the sum or product of two rational numbers is rational; the sum of a rational number and an irrational number is irrational; and the product of a nonzero rational number and an irrational number is irrational.
Flip Charts Math Grade 8
Flip Charts The Real Numbers
 
IMII.S-CP. Statistics and Probability: Conditional Probability and the Rules of Probability (S-CP)
Understand independence and conditional probability and use them to interpret data
S-CP.2. Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
IMII.S-ID. Statistics and Probability: Interpreting Categorical and Quantitative Data (S-ID)
Summarize, represent, and interpret data on two categorical and quantitative variables
S-ID.6. Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
S-ID.6.b. Informally assess the fit of a function by plotting and analyzing residuals.
Flip Charts Math Grade 8
 

MS.IMIII.Integrated Mathematics III

Integrated Mathematics III
IMIII.A-CED. Algebra: Creating Equations (A-CED)
Create equations that describe numbers or relationships
A-CED.1. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
A-CED.2. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. [Note this standard appears in previous courses with a slight variation in the standard language.]
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
IMIII.A-REI. Algebra: Reasoning with Equations and Inequalities (A-REI)
Understand solving equations as a process of reasoning and explain the reasoning
A-REI.1. Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
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
A-REI.11. Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of va
Flip Charts Math Grade 8
 
IMIII.F-IF. Functions: Interpreting Functions (F-IF)
Interpret functions that arise in applications in terms of the context
F-IF.4. For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercep
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
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
 
IMIII.G-GPE. Geometry: Expressing Geometric Properties with Equations (G-GPE)
Use coordinates to prove simple geometric theorems algebraically
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
 
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
 
IMIII.S-ID. Statistics and Probability: Interpreting Categorical and Quantitative Data (S-ID)
Summarize, represent, and interpret data on two categorical and quantitative variables
S-ID.6. Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
S-ID.6.b. Informally assess the fit of a function by plotting and analyzing residuals.
Flip Charts Math Grade 8
 

MS.MP.Standards for Mathematical Practice

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