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ALGEBRA

MAFS.912.A-APR. ARITHMETIC WITH POLYNOMIALS & RATIONAL EXPRESSIONS

MAFS.912.A-APR.1. Perform arithmetic operations on polynomials (Algebra 1 - Major Cluster)

MAFS.912.A-APR.1.1. 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

MAFS.912.A-CED. CREATING EQUATIONS

MAFS.912.A-CED.1. Create equations that describe numbers or relationships (Algebra 1 - Major Cluster; Algebra 2 - Supporting Cluster)

MAFS.912.A-CED.1.1. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational, absolute, and exponential functions.

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

MAFS.912.A-CED.1.2. 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

MAFS.912.A-CED.1.3. 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

MAFS.912.A-CED.1.4. 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

MAFS.912.A-REI. REASONING WITH EQUATIONS & INEQUALITIES

MAFS.912.A-REI.1. Understand solving equations as a process of reasoning and explain the reasoning (Algebra 1 - Major Cluster; Algebra 2 - Major Cluster)

MAFS.912.A-REI.1.1. 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

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

MAFS.912.A-REI.2. Solve equations and inequalities in one variable (Algebra 1 - Major Cluster; Algebra 2 - Supporting Cluster)

MAFS.912.A-REI.2.3. 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

MAFS.912.A-REI.3. Solve systems of equations (Algebra 1 - Additional Cluster; Algebra 2 - Additional Cluster)

MAFS.912.A-REI.3.5. 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

Flip Charts Systems of Equations

MAFS.912.A-REI.3.6. Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

Flip Charts Introduction to Functions

Flip Charts Math Grade 8

Flip Charts Systems of Equations

Flip Charts Systems of Equations

MAFS.912.A-REI.4. Represent and solve equations and inequalities graphically (Algebra 1 - Major Cluster; Algebra 2 - Major Cluster)

MAFS.912.A-REI.4.11. 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 Introduction to Functions

Flip Charts Math Grade 8

Flip Charts Systems of Equations

Flip Charts Systems of Equations

MAFS.912.A-REI.4.12. 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

MAFS.912.A-SSE. SEEING STRUCTURE IN EXPRESSIONS

MAFS.912.A-SSE.2. Write expressions in equivalent forms to solve problems (Algebra 1 - Supporting Cluster; Algebra 2 - Major Cluster)

MAFS.912.A-SSE.2.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

MAFS.912.A-SSE.2.3.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

FUNCTIONS

MAFS.912.F-BF. BUILDING FUNCTIONS

MAFS.912.F-BF.1. Build a function that models a relationship between two quantities (Algebra 1 - Supporting Cluster; Algebra 2 - Major Cluster)

MAFS.912.F-BF.1.1. Write a function that describes a relationship between two quantities.

MAFS.912.F-BF.1.1.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

MAFS.912.F-IF. INTERPRETING FUNCTIONS

MAFS.912.F-IF.1. Understand the concept of a function and use function notation (Algebra 1 - Major Cluster; Algebra 2 - Supporting Cluster)

MAFS.912.F-IF.1.1. 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

MAFS.912.F-IF.1.3. 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 Arithmetic & Sequences

Flip Charts Math Grade 8

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

MAFS.912.F-IF.2. Interpret functions that arise in applications in terms of the context (Algebra 1 - Major Cluster; Algebra 2 - Major Cluster)

MAFS.912.F-IF.2.4. 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

MAFS.912.F-IF.2.6. 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

MAFS.912.F-IF.3. Analyze functions using different representations (Algebra 1 - Supporting Cluster; Algebra 2 - Supporting Cluster)

MAFS.912.F-IF.3.7. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

MAFS.912.F-IF.3.7.a. Graph linear and quadratic functions and show intercepts, maxima, and minima.

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

MAFS.912.F-IF.3.8. Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

MAFS.912.F-IF.3.8.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

MAFS.912.F-LE. LINEAR, QUADRATIC, & EXPONENTIAL MODELS

MAFS.912.F-LE.1. Construct and compare linear, quadratic, and exponential models and solve problems (Algebra 1 - Supporting Cluster; Algebra 2 - Supporting Cluster)

MAFS.912.F-LE.1.1. Distinguish between situations that can be modeled with linear functions and with exponential functions.

MAFS.912.F-LE.1.1.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

GEOMETRY

MAFS.912.G-CO. CONGRUENCE

MAFS.912.G-CO.1. Experiment with transformations in the plane (Geometry - Supporting Cluster)

MAFS.912.G-CO.1.1. 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

MAFS.912.G-CO.1.2. 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

MAFS.912.G-CO.1.3. 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

MAFS.912.G-CO.1.4. 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

MAFS.912.G-CO.1.5. 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

MAFS.912.G-CO.2. Understand congruence in terms of rigid motions (Geometry - Major Cluster)

MAFS.912.G-CO.2.6. 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

MAFS.912.G-CO.3. Prove geometric theorems (Geometry - Major Cluster)

MAFS.912.G-CO.3.9. Prove theorems about lines and angles; use theorems about lines and angles to solve problems. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are

Flip Charts Math Grade 8

Flip Charts Plane Geometry

MAFS.912.G-GMD. GEOMETRIC MEASUREMENT & DIMENSION

MAFS.912.G-GMD.1. Explain volume formulas and use them to solve problems (Geometry - Additional Cluster)

MAFS.912.G-GMD.1.1. 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

MAFS.912.G-GMD.1.3. Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

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

MAFS.912.G-GPE. EXPRESSING GEOMETRIC PROPERTIES WITH EQUATIONS

MAFS.912.G-GPE.2. Use coordinates to prove simple geometric theorems algebraically (Geometry - Major Cluster)

MAFS.912.G-GPE.2.5. 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

MAFS.912.G-GPE.2.7. 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

MAFS.912.G-SRT. SIMILARITY, RIGHT TRIANGLES, & TRIGONOMETRY

MAFS.912.G-SRT.1. Understand similarity in terms of similarity transformations (Geometry - Major Cluster)

MAFS.912.G-SRT.1.1. Verify experimentally the properties of dilations given by a center and a scale factor:

MAFS.912.G-SRT.1.1.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

MAFS.912.G-SRT.1.1.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

MAFS.912.G-SRT.1.2. 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

MAFS.912.G-SRT.2. Prove theorems involving similarity (Geometry - Major Cluster)

MAFS.912.G-SRT.2.5. Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

Flip Charts Math Grade 8

Flip Charts Ratios, Rates & Proportions

NUMBER & QUANTITY

MAFS.912.N-RN. THE REAL NUMBER SYSTEM

MAFS.912.N-RN.1. Extend the properties of exponents to rational exponents. (Algebra 2 - Major Cluster)

MAFS.912.N-RN.1.2. Rewrite expressions involving radicals and rational exponents using the properties of exponents.

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

MAFS.912.N-RN.2. Use properties of rational and irrational numbers. (Algebra 1 - Additional Cluster)

MAFS.912.N-RN.2.3. 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

STATISTICS & PROBABILITY

MAFS.912.S-CP. CONDITIONAL PROBABILITY & THE RULES OF PROBABILITY

MAFS.912.S-CP.1. Understand independence and conditional probability and use them to interpret data (Algebra 2 - Additional Cluster)

MAFS.912.S-CP.1.2. 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

MAFS.912.S-ID. INTERPRETING CATEGORICAL & QUANTITATIVE DATA

MAFS.912.S-ID.2. Summarize, represent, and interpret data on two categorical and quantitative variables (Algebra 1 - Supporting Cluster; Algebra 2 - Supporting Cluster)

MAFS.912.S-ID.2.5. 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

MAFS.912.S-ID.2.6. Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.

MAFS.912.S-ID.2.6.b. Informally assess the fit of a function by plotting and analyzing residuals.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

MAFS.912.S-ID.2.6.c. Fit a linear function for a scatter plot that suggests a linear association.

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

MATHEMATICAL PRACTICE

MAFS.K12.MP.1.1. Make sense of problems and persevere in solving them.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

MAFS.K12.MP.2.1. Reason abstractly and quantitatively.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes