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Standards for Mathematical Practice

1 Make sense of problems and persevere in solving them.

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

2 Reason abstractly and quantitatively.

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

Algebra I

A.APR. Arithmetic with Polynomials and Rational Expressions

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

A.APR.A.1. Understand that polynomials form a system closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

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

A.CED. Creating Equations

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

A.CED.A.1. Create equations and inequalities in one variable arising from situations in which linear, quadratic, and exponential functions are appropriate and use them to solve problems.

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

A.CED.A.2. (i) 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. (i) Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.

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

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

A.CED.A.4. (i) Rewrite formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities

A.REI. 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 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.

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

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

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

A.REI.C. Solve systems of equations.

A.REI.C.5. Understand the principles of the elimination method.

Flip Charts Introduction to Functions

Flip Charts Math Grade 8

Flip Charts Systems of Equations

A.REI.C.6. Solve systems of linear equations exactly and approximately by graphing, focusing on pairs of linear equations in two variables.

Flip Charts Introduction to Functions

Flip Charts Math Grade 8

Flip Charts Systems of Equations

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

A.REI.D.11. (i) 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, including but not limited to using technology to graph the f

Flip Charts Introduction to Functions

Flip Charts Math Grade 8

Flip Charts Systems of Equations

A.REI.D.12. Graph a linear inequality (strict or inclusive) in two variables; graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

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

A.SSE. Seeing Structure in Expression

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 write equivalent expressions for exponential functions.

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

F.BF. Building Functions

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

F.BF.A.1. Write a function (linear, quadratic, and exponential) 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.BF.A.1.b. Determine an explicit expression from a graph.

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

F.IF. Interpreting Functions

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

F.IF.A.1. Understand that a function maps each element of the domain to 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 corresponding to the input x. The graph of f is the graph of the equati

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.

Flip Charts Arithmetic & Sequences

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.

F.IF.B.4. (i) For functions, including linear, quadratic, and exponential, that model 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

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

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

F.IF.C.7. (i) Graph parent functions and their transformations 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, exponential, 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. Interpret expressions for exponential growth and decay.

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

F.LE. Linear, Quadratic and Exponential Models

F.LE.A. Construct and compare linear 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

N.RN. 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; the sum of a rational and an irrational number is irrational; and the product of a nonzero rational and an irrational number is irrational.

Flip Charts Math Grade 8

Flip Charts The Real Numbers

S.ID. 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 and using technology assess the fit of a function by plotting and analyzing residuals.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

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

Geometry

G.CO. Congruence

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

G.CO.A.1. State and apply precise definitions of angle, circle, perpendicular, parallel, ray, line segment, and distance based on the undefined notions of point, line, and plane.

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.CO.A.2. Represent transformations in the plane. (e.g., using transparencies and/or geometry software);

G.CO.A.2.a. Describe transformations as functions that take points in the plane as inputs and give other points as outputs.

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/or reflections that map the figure 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, (e.g., using graph paper, tracing paper, or geometry software). Specify a sequence of transformations that will map 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.

G.CO.B.6.a. Predict the effect of a given rigid motion on a given figure.

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

G.CO.C. Prove geometric theorems.

G.CO.C.9. Prove theorems about lines and angles. Theorems must include but not limited to: vertical angles are congruent; when a transversal intersects parallel lines, alternate interior angles are congruent and same side interior angles are supplementary (using co

Flip Charts Math Grade 8

Flip Charts Plane Geometry

G.GMD. Geometric Measurement and Dimension

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

G.GMD.A.3. Know and apply volume and surface area formulas for cylinders, pyramids, cones, and spheres for composite figures to solve problems.

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

G.GPE. Expressing Geometric Properties with Equations

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

G.GPE.B.5. Define and use the slope criteria for parallel and perpendicular lines. (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. Similarity, Right Triangles and Trigonometry

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

G.SRT.A.1. Verify experimentally and apply the properties of dilations as determined by a center and a scale factor.

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

G.SRT.A.2. Determine whether figures are similar, using the definition of similarity and using similarity transformations.

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.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

Flip Charts Ratios, Rates & Proportions

S.CP. Conditional Probability and Rules of Probability

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

S.CP.A.2. Determine whether two events A and B are independent.

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

Algebra II

A.CED. 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.

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

A.CED.A.2. (ii) 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. (ii) Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.

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

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

A.CED.A.4. (ii) Rewrite formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities

A.REI. Reasoning with Equations and Inequalities

A.REI.C. Represent and solve equations and inequalities graphically.

A.REI.C.11. (ii) 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, including but not limited to using technology to graph the

Flip Charts Introduction to Functions

Flip Charts Math Grade 8

Flip Charts Systems of Equations

F.BF. Building Functions

F.BF.A. Build new functions from existing functions.

F.BF.A.1. Write a function 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.BF.A.1.b. Determine an explicit expression from a graph.

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

F.IF. Interpreting Functions

F.IF.A. Interpret functions that arise in applications in terms of the context.

F.IF.A.4. (ii) For functions that model 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: interc

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

4th Year

PC.S. Sequences

PC.S.A. Define sequences.

PC.S.A.1. (+) Define arithmetic and geometric sequences and series. Model and solve word problems involving applications of sequences and series, interpret the solutions and determine whether the solutions are reasonable.

Flip Charts Arithmetic & Sequences

Flip Charts Math Grade 8

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

South Dakota Content Standards

Standards for Mathematical Practice

Algebra I

Geometry

Algebra II

4th Year

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