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MA.AI.Model Algebra I Content Standards [AI]

Model Algebra I Content Standards [AI]
AI.A-APR. Algebra - Arithmetic with Polynomials and Rational Expressions
AI.A-APR.A. Perform arithmetic operations on polynomials.
AI.A-APR.A.1. Understand that polynomials form a system analogous to the integers, namely, they are closed under certain operations.
AI.A-APR.A.1.a. Perform operations on polynomial expressions (addition, subtraction, multiplication), and compare the system of polynomials to the system of integers when performing operations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
AI.A-APR.A.1.b. Factor and/or expand polynomial expressions, identify and combine like terms, and apply the Distributive property.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
AI.A-CED. Algebra - Creating Equations
AI.A-CED.A. Create equations that describe numbers or relationships.
AI.A-CED.A.2. Create equations in two or more 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
 
AI.A-CED.A.3. Represent constraints by linear equations or inequalities, and by systems of linear equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. For example, represent inequalities describing nutritional an
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
AI.A-CED.A.4. Rearrange formulas to highlight a quantity of interest using the same reasoning as in solving equations (Properties of equality). For example, rearrange Ohm’s law R = V^2/P to solve for voltage, V. Manipulate variables in formulas used in financial contex
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
AI.A-REI. Algebra - Reasoning with Equations and Inequalities
AI.A-REI.A. Understand solving equations as a process of reasoning and explain the reasoning.
AI.A-REI.A.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 or refute a solution met
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-REI.C. Solve systems of equations.
AI.A-REI.C.5. Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
Flip Charts Math Grade 8
 
AI.A-REI.C.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
 
AI.A-REI.D. Represent and solve equations and inequalities graphically.
AI.A-REI.D.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 and make tables of
Flip Charts Math Grade 8
 
AI.A-REI.D.12. Graph the solutions of 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 of a system of linear inequalities in two variables as the intersection of the correspondin
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 
AI.A-SSE. Algebra - Seeing Structure in Expressions
AI.A-SSE.B. Write expressions in equivalent forms to solve problems.
AI.A-SSE.B.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
AI.A-SSE.B.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. Building Functions
AI.F-BF.A. Build a function that models a relationship between two quantities.
AI.F-BF.A.1. Write linear, quadratic, and exponential functions that describe a relationship between two quantities.
AI.F-BF.A.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
 
AI.F-IF. Functions - Interpreting Functions
AI.F-IF.A. Understand the concept of a function and use function notation.
AI.F-IF.A.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 (range
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
AI.F-IF.A.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
 
AI.F-IF.B. Interpret linear, quadratic, and exponential functions with integer exponents that arise in applications in terms of the context.
AI.F-IF.B.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
 
AI.F-IF.B.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-IF.C. Analyze functions using different representations.
AI.F-IF.C.7. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
AI.F-IF.C.7.a. Graph linear and quadratic functions and show intercepts, maxima, and minima.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
AI.F-IF.C.8. Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
AI.F-IF.C.8.b. Use the properties of exponents to interpret expressions for exponential functions. Apply to financial situations such as identifying appreciation and depreciation rate for the value of a house or car some time after its initial purchase: V_n = P(1+r)^n.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
AI.F-LE. Linear, Quadratic, and Exponential Models
AI.F-LE.A. Construct and compare linear, quadratic, and exponential models and solve problems.
AI.F-LE.A.1. Distinguish between situations that can be modeled with linear functions and with exponential functions.
AI.F-LE.A.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
AI.N-RN.A. Extend the properties of exponents to rational exponents.
AI.N-RN.A.2. Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
AI.N-RN.B. Use properties of rational and irrational numbers.
AI.N-RN.B.3. Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that 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
AI.S-ID.B. Summarize, represent, and interpret data on two categorical and quantitative variables.
AI.S-ID.B.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
 
AI.S-ID.B.6. Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
AI.S-ID.B.6.b. Informally assess the fit of a function by plotting and analyzing residuals.
Flip Charts Math Grade 8
 
AI.S-ID.B.6.c. Fit a linear function for a scatter plot that suggests a linear association.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 

MA.AII.Model Algebra II Content Standards [AII]

Model Algebra II Content Standards [AII]
AII.A-APR. Arithmetic with Polynomials and Rational Expressions
AII.A-APR.A. Perform arithmetic operations on polynomials.
AII.A-APR.A.1. Understand that polynomials form a system analogous to the integers, namely, they are closed under certain operations.
AII.A-APR.A.1.a. Perform operations on polynomial expressions (addition, subtraction, multiplication, and division), and compare the system of polynomials to the system of integers when performing operations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
AII.A-CED. Creating Equations
AII.A-CED.A. Create equations that describe numbers or relationships.
AII.A-CED.A.1. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from simple root and rational functions and exponential functions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
AII.A-CED.A.2. Create equations in two or more 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
 
AII.A-CED.A.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 equations describing satellites orbiting Earth and c
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
AII.A-REI. Reasoning with Equations and Inequalities
AII.A-REI.D. Represent and solve equations and inequalities graphically.
AII.A-REI.D.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
 
AII.F-IF. Functions - Interpreting Functions
AII.F-IF.B. Interpret functions that arise in applications in terms of the context (polynomial, rational, square root and cube root, trigonometric, and logarithmic functions).
AII.F-IF.B.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
 
AII.F-IF.B.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
 

MA.CC.High School Content Standards by Conceptual Categories

High School Content Standards by Conceptual Categories
A-APR. Algebra Content Standards - Arithmetic with Polynomials and Rational Expressions
A-APR.A. Perform arithmetic operations on polynomials.
A-APR.A.1. Understand that polynomials form a system analogous to the integers, namely, they are closed under certain operations.
A-APR.A.1.a. Perform operations on polynomial expressions (addition, subtraction, multiplication, division) and compare the system of polynomials to the system of integers when performing operations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
A-APR.A.1.b. Factor and/or expand polynomial expressions, identify and combine like terms, and apply the Distributive property.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
A-CED. Algebra Content Standards - Creating Equations
A-CED.A. Create equations that describe numbers or relationships.
A-CED.A.1. Create equations and inequalities in one variable and use them to solve problems. (Include equations arising from linear and quadratic functions, and simple root and rational functions and exponential functions.)
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
A-CED.A.2. Create equations in two or more 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.A.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 Solving linear equations
 
A-CED.A.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
 
A-REI. Algebra Content Standards - Reasoning with Equations and Inequalities
A-REI.A. Understand solving equations as a process of reasoning and explain the reasoning.
A-REI.A.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 or refute a solution met
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
 
A-REI.C. Solve systems of equations.
A-REI.C.5. Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
Flip Charts Math Grade 8
 
A-REI.C.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
 
A-REI.D. Represent and solve equations and inequalities graphically.
A-REI.D.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.D.12. Graph the solutions of 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 of a system of linear inequalities in two variables as the intersection of the correspondin
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 
A-SSE. Algebra Content Standards - Seeing Structure in Expressions
A-SSE.B. Write expressions in equivalent forms to solve problems.
A-SSE.B.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
A-SSE.B.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
 
F-BF. Functions Overview - Building Functions
F-BF.A. Build a function that models a relationship between two quantities.
F-BF.A.1. Write a function (linear, quadratic, exponential, simple rational, radical, logarithmic, and trigonometric) that describes a relationship between two quantities.
F-BF.A.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
 
F-IF. Functions Overview - Interpreting Functions
F-IF.A. Understand the concept of a function and use function notation.
F-IF.A.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.A.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
 
F-IF.B. Interpret functions that arise in applications in terms of the context (linear, quadratic, exponential, rational, polynomial, square root, cube root, trigonometric, logarithmic).
F-IF.B.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.B.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
 
F-IF.C. Analyze functions using different representations.
F-IF.C.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.C.7.a. Graph linear and quadratic functions and show intercepts, maxima, and minima.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
F-IF.C.8. Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
F-IF.C.8.b. Use the properties of exponents to interpret expressions for exponential functions. Apply to financial situations such as identifying appreciation and depreciation rate for the value of a house or car some time after its initial purchase. For example, ide
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
F-LE. Functions Overview - Linear, Quadratic, and Exponential Models
F-LE.A. Construct and compare linear, quadratic, and exponential models and solve problems.
F-LE.A.1. Distinguish between situations that can be modeled with linear functions and with exponential functions.
F-LE.A.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
 
G-CO. Geometry Content Standards - Congruence
G-CO.A. Experiment with transformations in the plane.
G-CO.A.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.A.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.A.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.A.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.A.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
 
G-CO.B. Understand congruence in terms of rigid motions.
G-CO.B.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-CO.C. Prove geometric theorems and, when appropriate, the converse of theorems.
G-CO.C.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, and conversely prove lines are parallel; poi
Flip Charts Math Grade 8
Flip Charts Plane Geometry
 
G-GMD. Geometry Content Standards - Geometric Measurement and Dimension
G-GMD.A. Explain volume formulas and use them to solve problems.
G-GMD.A.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.A.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 Content Standards - Expressing Geometric Properties with Equations
G-GPE.B. Use coordinates to prove simple geometric theorems algebraically.
G-GPE.B.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.B.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 Content Standards - Similarity, Right Triangles, and Trigonometry
G-SRT.A. Understand similarity in terms of similarity transformations.
G-SRT.A.1. Verify experimentally the properties of dilations given by a center and a scale factor:
G-SRT.A.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.A.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.A.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
 
G-SRT.B. Prove theorems involving similarity.
G-SRT.B.5. Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Flip Charts Math Grade 8
 
N-RN. Number and Quantity Content Standards - The Real Number System
N-RN.A. Extend the properties of exponents to rational exponents.
N-RN.A.2. Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
N-RN.B. Use properties of rational and irrational numbers.
N-RN.B.3. Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
Flip Charts Math Grade 8
Flip Charts The Real Numbers
 
S-CP. Statistics and Probability Content Standards - Conditional Probability and the Rules of Probability
S-CP.A. Understand independence and conditional probability and use them to interpret data from simulations or experiments.
S-CP.A.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
 
S-ID. Statistics and Probability Content Standards - Interpreting Categorical and Quantitative Data
S-ID.B. Summarize, represent, and interpret data on two categorical and quantitative variables.
S-ID.B.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.B.6. Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
S-ID.B.6.b. Informally assess the fit of a function by plotting and analyzing residuals.
Flip Charts Math Grade 8
 
S-ID.B.6.c. Fit a linear function for a scatter plot that suggests a linear association.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 

MA.GEO.Model Geometry Content Standards [GEO]

Model Geometry Content Standards [GEO]
GEO.G-CO. Geometry - Congruence
GEO.G-CO.A. Experiment with transformations in the plane.
GEO.G-CO.A.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
 
GEO.G-CO.A.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
 
GEO.G-CO.A.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
 
GEO.G-CO.A.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
 
GEO.G-CO.A.5. Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using 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
 
GEO.G-CO.B. Understand congruence in terms of rigid motions.
GEO.G-CO.B.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
 
GEO.G-CO.C. Prove geometric theorems and, when appropriate, the converse of theorems.
GEO.G-CO.C.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, and conversely prove lines are parallel; poi
Flip Charts Math Grade 8
Flip Charts Plane Geometry
 
GEO.G-GMD. Geometric Measurement and Dimension
GEO.G-GMD.A. Explain volume formulas and use them to solve problems.
GEO.G-GMD.A.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
 
GEO.G-GMD.A.3. Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
 
GEO.G-GPE. Expressing Geometric Properties with Equations
GEO.G-GPE.B. Use coordinates to prove simple geometric theorems algebraically.
GEO.G-GPE.B.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
 
GEO.G-SRT. Similarity, Right Triangles, and Trigonometry
GEO.G-SRT.A. Understand similarity in terms of similarity transformations.
GEO.G-SRT.A.1. Verify experimentally the properties of dilations given by a center and a scale factor:
GEO.G-SRT.A.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
 
GEO.G-SRT.A.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
 
GEO.G-SRT.A.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
 
GEO.G-SRT.B. Prove theorems involving similarity.
GEO.G-SRT.B.5. Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Flip Charts Math Grade 8
 
GEO.S-CP. Statistics and Probability - Conditional Probability and the Rules of Probability
GEO.S-CP.A. Understand independence and conditional probability and use them to interpret data from simulations or experiments.
GEO.S-CP.A.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
 

MA.MI.Model Mathematics I Content Standards [MI]

Model Mathematics I Content Standards [MI]
MI.A-CED. Creating Equations
MI.A-CED.A. Create equations that describe numbers or relationships.
MI.A-CED.A.1. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and exponential functions with integer exponents.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
MI.A-CED.A.2. Create equations in two or more 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
 
MI.A-CED.A.3. Represent constraints by linear equations or inequalities, and by systems of linear equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. For example, represent inequalities describing nutritional an
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
MI.A-CED.A.4. Rearrange formulas to highlight a quantity of interest, using the same reasoning (Properties of equality) as in solving equations. For example, rearrange Ohm’s law, V = IR, to solve for resistance, R. Manipulate variables in formulas used in financial con
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
MI.A-REI. Reasoning with Equations and Inequalities
MI.A-REI.A. Understand solving equations as a process of reasoning and explain the reasoning.
MI.A-REI.A.1. Explain each step in solving a simple linear 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 or refute a solut
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
 
MI.A-REI.C. Solve systems of equations.
MI.A-REI.C.5. Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
Flip Charts Math Grade 8
 
MI.A-REI.C.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
 
MI.A-REI.D. Represent and solve equations and inequalities graphically.
MI.A-REI.D.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 and/or make tables
Flip Charts Math Grade 8
 
MI.A-REI.D.12. Graph the solutions of 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 of a system of linear inequalities in two variables as the intersection of the correspondin
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 
MI.F-BF. Building Functions
MI.F-BF.A. Build a function that models a relationship between two quantities.
MI.F-BF.A.1. Write linear and exponential functions that describe a relationship between two quantities.
MI.F-BF.A.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
 
MI.F-IF. Functions - Interpreting Functions
MI.F-IF.A. Understand the concept of a function and use function notation.
MI.F-IF.A.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
 
MI.F-IF.A.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
 
MI.F-IF.B. Interpret linear and exponential functions having integer exponents that arise in applications in terms of the context.
MI.F-IF.B.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
 
MI.F-IF.B.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
 
MI.F-IF.C. Analyze functions using different representations.
MI.F-IF.C.7. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
MI.F-IF.C.7.a. Graph linear functions and show intercepts.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MI.F-LE. Linear, Quadratic, and Exponential Models
MI.F-LE.A. Construct and compare linear and exponential models and solve problems.
MI.F-LE.A.1. Distinguish between situations that can be modeled with linear functions and with exponential functions.
MI.F-LE.A.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
 
MI.G-CO. Geometry - Congruence
MI.G-CO.A. Experiment with transformations in the plane.
MI.G-CO.A.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
 
MI.G-CO.A.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
 
MI.G-CO.A.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
 
MI.G-CO.A.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
 
MI.G-CO.A.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
 
MI.G-CO.B. Understand congruence in terms of rigid motions.
MI.G-CO.B.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
 
MI.G-GPE. Expressing Geometric Properties with Equations
MI.G-GPE.B. Use coordinates to prove simple geometric theorems algebraically.
MI.G-GPE.B.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
 
MI.S-ID. Statistics and Probability - Interpreting Categorical and Quantitative Data
MI.S-ID.B. Summarize, represent, and interpret data on two categorical and quantitative variables.
MI.S-ID.B.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
 
MI.S-ID.B.6. Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
MI.S-ID.B.6.b. Informally assess the fit of a function by plotting and analyzing residuals.
Flip Charts Math Grade 8
 
MI.S-ID.B.6.c. Fit a linear function for a scatter plot that suggests a linear association.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 

MA.MII.Model Mathematics II Content Standards [MII]

Model Mathematics II Content Standards [MII]
MII.A-APR. Arithmetic with Polynomials and Rational Expressions
MII.A-APR.A. Perform arithmetic operations on polynomials.
MII.A-APR.A.1. Understand that polynomials form a system analogous to the integers, namely, they are closed under certain operations.
MII.A-APR.A.1.a. Perform operations on polynomial expressions (addition, subtraction, multiplication), and compare the system of polynomials to the system of integers when performing operations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MII.A-APR.A.1.b. Factor and/or expand polynomial expressions; identify and combine like terms; and apply the Distributive property.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MII.A-CED. Creating Equations
MII.A-CED.A. Create equations that describe numbers or relationships.
MII.A-CED.A.1. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from quadratic and exponential functions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
MII.A-CED.A.2. Create equations in two or more 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
 
MII.A-CED.A.4. Rearrange formulas, including formulas with quadratic terms, to highlight a quantity of interest using the same reasoning as in solving equations (Properties of equality). For example, rearrange Ohm’s law R = V^2/p to solve for voltage, V.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
MII.A-SSE. Algebra - Seeing Structure in Expressions
MII.A-SSE.B. Write quadratic and exponential expressions in equivalent forms to solve problems.
MII.A-SSE.B.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
MII.A-SSE.B.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
 
MII.F-BF. Building Functions
MII.F-BF.A. Build a function that models a relationship between two quantities.
MII.F-BF.A.1. Write linear, quadratic, and exponential functions that describe relationships between two quantities.
MII.F-BF.A.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
 
MII.F-IF. Functions - Interpreting Functions
MII.F-IF.B. Interpret quadratic and exponential functions with integer exponents that arise in applications in terms of the context.
MII.F-IF.B.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
 
MII.F-IF.B.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
 
MII.F-IF.C. Analyze functions using different representations.
MII.F-IF.C.7. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
MII.F-IF.C.7.a. Graph quadratic functions and show intercepts, maxima, and minima.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
MII.F-IF.C.8. Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
MII.F-IF.C.8.b. Use the properties of exponents to interpret expressions for exponential functions. Apply to financial situations such as Identifying appreciation/depreciation rate for the value of a house or car some time after its initial purchase:. For example, identi
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
MII.G-CO. Geometry - Congruence
MII.G-CO.C. Prove geometric theorems and, when appropriate, the converse of theorems.
MII.G-CO.C.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, and conversely prove lines are parallel; poi
Flip Charts Math Grade 8
Flip Charts Plane Geometry
 
MII.G-GMD. Geometric Measurement and Dimension
MII.G-GMD.A. Explain volume formulas and use them to solve problems.
MII.G-GMD.A.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
 
MII.G-GMD.A.3. Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
 
MII.G-SRT. Similarity, Right Triangles, and Trigonometry
MII.G-SRT.A. Understand similarity in terms of similarity transformations.
MII.G-SRT.A.1. Verify experimentally the properties of dilations given by a center and a scale factor:
MII.G-SRT.A.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
 
MII.G-SRT.A.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
 
MII.G-SRT.A.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
 
MII.G-SRT.B. Prove theorems involving similarity using a variety of ways of writing proofs, showing validity of underlying reasoning.
MII.G-SRT.B.5. Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Flip Charts Math Grade 8
 
MII.N-RN. Number and Quantity - The Real Number System
MII.N-RN.A. Extend the properties of exponents to rational exponents.
MII.N-RN.A.2. Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MII.N-RN.B. Use properties of rational and irrational numbers.
MII.N-RN.B.3. Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
Flip Charts Math Grade 8
Flip Charts The Real Numbers
 
MII.S-CP. Statistics and Probability - Conditional Probability and the Rules of Probability
MII.S-CP.A. Understand independence and conditional probability and use them to interpret data from simulations or experiments.
MII.S-CP.A.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
 

MA.MIII.Model Mathematics III Content Standards [MIII]

Model Mathematics III Content Standards [MIII]
MIII.A-APR. Arithmetic with Polynomials and Rational Expressions
MIII.A-APR.A. Perform arithmetic operations on polynomials.
MIII.A-APR.A.1. Understand that polynomials form a system analogous to the integers, namely, they are closed under certain operations.
MIII.A-APR.A.1.a. Perform operations on polynomial expressions (addition, subtraction, multiplication, and division), and compare the system of polynomials to the system of integers when performing operations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
MIII.A-CED. Creating Equations
MIII.A-CED.A. Create equations that describe numbers or relationships.
MIII.A-CED.A.1. Create equations and inequalities in one variable and use them to solve problems. (Include equations arising from simple root and rational functions.)
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
MIII.A-CED.A.2. Create equations in two or more 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
 
MIII.A-CED.A.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 equations describing satellites orbiting earth and c
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
MIII.A-REI. Reasoning with Equations and Inequalities
MIII.A-REI.D. Represent and solve equations and inequalities graphically.
MIII.A-REI.D.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
 
MIII.F-IF. Functions - Interpreting Functions
MIII.F-IF.B. Interpret functions that arise in applications in terms of the context (rational, polynomial, square root, cube root, trigonometric, logarithmic).
MIII.F-IF.B.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
 
MIII.F-IF.B.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
 

MA.MP.Mathematical Practice

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