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AZ.A1.Algebra 1

Algebra 1

A1.A-APR. Algebra – Arithmetic with Polynomials and Rational Expressions (A-APR)

A1.A-APR.A. Perform arithmetic operations on polynomials.

A1.A-APR.A.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

A1.A-CED. Algebra – Creating Equations (A-CED)

A1.A-CED.A. Create equations that describe numbers or relationships.

A1.A-CED.A.1. Create equations and inequalities in one variable and use them to solve problems. Include problem-solving opportunities utilizing real-world context. Focus on equations and inequalities that are linear, quadratic, or exponential.

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities

A1.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

A1.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.

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

A1.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

A1.A-REI. Algebra – Reasoning with Equations and Inequalities (A-REI)

A1.A-REI.A. Understand solving equations as a process of reasoning and explain the reasoning.

A1.A-REI.A.1. Explain each step in solving linear and quadratic equations 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

Flip Charts Math Grade 8

Flip Charts Ratios, Rates & Proportions

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

A1.A-REI.B. Solve equations and inequalities in one variable.

A1.A-REI.B.3. Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

Flip Charts Math Grade 8

Flip Charts Ratios, Rates & Proportions

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

A1.A-REI.C. Solve systems of equations.

A1.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 Introduction to Functions

Flip Charts Math Grade 8

Flip Charts Systems of Equations

A1.A-REI.C.6. Solve systems of linear equations exactly and approximately, focusing on pairs of linear equations in two variables. Include problem solving opportunities utilizing real-world context.

Flip Charts Introduction to Functions

Flip Charts Math Grade 8

Flip Charts Systems of Equations

A1.A-REI.D. Represent and solve equations and inequalities graphically.

A1.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 values,

Flip Charts Introduction to Functions

Flip Charts Math Grade 8

Flip Charts Systems of Equations

A1.A-REI.D.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 corresponding

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

A1.F-IF. Functions – Interpreting Functions (F-IF)

A1.F-IF.A. Understand the concept of a function and use function notation.

A1.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

A1.F-IF.A.3. Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.

Flip Charts Arithmetic & Sequences

Flip Charts Math Grade 8

Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

A1.F-IF.B. Interpret functions that arise in applications in terms of the context.

A1.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. Include problem-solving opport

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

A1.F-IF.B.6. Calculate and interpret the average rate of change of a continuous function (presented symbolically or as a table) on a closed interval. Estimate the rate of change from a graph. Include problem-solving opportunities utilizing real-world context. Focus on

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

A1.F-IF.C. Analyze functions using different representations.

A1.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. Functions include linear, exponential, quadratic, and piecewise-defined functions (limited to the aforement

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

A1.F-LE. Functions – Linear, Quadratic, and Exponential Models (F-LE)

A1.F-LE.A. Construct and compare linear, quadratic, and exponential models and solve problems.

A1.F-LE.A.1. Distinguish between situations that can be modeled with linear functions and with exponential functions.

A1.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

A1.N-RN. Number and Quantity – The Real Number System (N-RN)

A1.N-RN.B. Use properties of rational and irrational numbers.

A1.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

A1.S-CP. Statistics and Probability – Conditional Probability and the rules of Probability (S-CP)

A1.S-CP.A. Understand independence and conditional probability and use them to interpret data.

A1.S-CP.A.2. Use the Multiplication Rule for independent events to 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 indepen

Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

A1.S-ID. Statistics and Probability – Summarize, represent, and interpret data on a single count or measurement variable. (S-ID)

A1.S-ID.B. Summarize, represent, and interpret data on two categorical and quantitative variables.

A1.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

A1.S-ID.B.6. Represent data on two quantitative variables on a scatter plot, and describe how the quantities are related.

A1.S-ID.B.6.b. Informally assess the fit of a function by plotting and analyzing residuals.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

AZ.A2.Algebra 2

Algebra 2

A2.A-CED. Algebra – Creating Equations (A-CED)

A2.A-CED.A. Create equations that describe numbers or relationships.

A2.A-CED.A.1. Create equations and inequalities in one variable and use them to solve problems. Include problem-solving opportunities utilizing real-world context. Focus on equations and inequalities arising from linear, quadratic, rational, and exponential functions.

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities

A2.A-REI. Algebra – Reasoning with Equations and Inequalities (A-REI)

A2.A-REI.A. Understand solving equations as a process of reasoning and explain the reasoning.

A2.A-REI.A.1. Explain each step in solving an 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. Extend from

Flip Charts Math Grade 8

Flip Charts Ratios, Rates & Proportions

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

A2.A-REI.D. Represent and solve equations and inequalities graphically.

A2.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 val

Flip Charts Introduction to Functions

Flip Charts Math Grade 8

Flip Charts Systems of Equations

A2.A-SSE. Algebra – Seeing Structure in Expressions (A-SSE)

A2-A-SSE.B. Write expressions in equivalent forms to solve problems.

A2.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. Include problem-solving opportunities utilizing real-world context and focus on expressions with rational exponents.

A2.A-SSE.B.3.c. Use the properties of exponents to transform expressions for exponential functions.

Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

A2.F-BF. Functions – Building Functions (F-BF)

A2.F-BF.A. Build a function that models a relationship between two quantities.

A2.F-BF.A.1. Write a function that describes a relationship between two quantities. Extend from linear, quadratic and exponential functions to include polynomial, radical, logarithmic, rational, sine, cosine, exponential, and piecewise-defined functions. Include probl

A2.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

A2.F-IF. Functions – Interpreting Functions (F-IF)

A2.F-IF.B. Interpret functions that arise in applications in terms of the context.

A2.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. Include problem-solving opport

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

A2.F-IF.B.6. Calculate and interpret the average rate of change of a continuous function (presented symbolically or as a table) on a closed interval. Estimate the rate of change from a graph. Include problem-solving opportunities utilizing real-world context. Extend f

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

A2.F-IF.C. Analyze functions using different representations.

A2.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. Extend from linear, quadratic and exponential functions to include square root, cube root, polynomial, expo

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

A2.N-RN. Number and Quantity – The Real Number System (N-RN)

A2.N-RN.A. Extend the properties of exponents to rational exponents.

A2.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

AZ.G.Geometry

Geometry

G.G-CO. Geometry – Congruence (G-CO)

G.G-CO.A. Experiment with transformations in the plane.

G.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

Flip Charts Ratios, Rates & Proportions

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.G-CO.A.2. Represent and describe transformations in the plane as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not.

Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry

Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

G.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.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.G-CO.A.5. Given a geometric figure and a rotation, reflection, or translation draw the transformed figure. Specify a sequence of transformations that will carry a given figure onto another.

Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry

G.G-CO.B. Understand congruence in terms of rigid motions.

G.G-CO.B.6. Use geometric definitions 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.G-CO.C. Prove geometric theorems.

G.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; points on a perpendicular bisector of a line

Flip Charts Math Grade 8

Flip Charts Plane Geometry

G.G-GMD. Geometry – Geometric Measurement and Dimension (G-GMD)

G.G-GMD.A. Explain volume formulas and use them to solve problems.

G.G-GMD.A.1. Analyze and verify the formulas for the volume of a cylinder, pyramid, and cone.

Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

G.G-GMD.A.3. Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems utilizing real-world context.

Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

G.G-GPE. Geometry – Expressing Geometric Properties with Equations (G-GPE)

G.G-GPE.B. Use coordinates to prove geometric theorems algebraically.

G.G-GPE.B.5. Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems, including finding 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.G-GPE.B.7. Use coordinates to compute perimeters of polygons and areas of triangles and rectangles.

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

G.G-SRT. Geometry – Similarity, Right Triangles, and Trigonometry (G-SRT)

G.G-SRT.A. Understand similarity in terms of similarity transformations.

G.G-SRT.A.1. Verify experimentally the properties of dilations given by a center and a scale factor:

G.G-SRT.A.1.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.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.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

Flip Charts Ratios, Rates & Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

G.G-SRT.B. Prove theorems involving similarity.

G.G-SRT.B.5. Use congruence and similarity criteria to prove relationships in geometric figures and solve problems utilizing real-world context.

Flip Charts Math Grade 8

Flip Charts Ratios, Rates & Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale