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Kansas Academic Standards

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KS.A.Algebra

Algebra

A.APR. Arithmetic with Polynomials and Rational Expressions

Perform arithmetic operations on polynomials.

A.APR.1. (9/10) Add, subtract, and multiply polynomials.

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

A.CED. Creating Equations

Create equations that describe numbers or relationships.

A.CED.1. (all) Apply and extend previous understanding to 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.2. (all) Apply and extend previous understanding to 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.3. (all) 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 c

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

A.CED.4. (all) Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law ݑ=ɰݐR to highlight resistance R.

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

A.REI. Reasoning with Equations and Inequalities

Represent and solve equations and inequalities graphically.

A.REI.10. (9/10) 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 corre

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

A.REI.9. (9/10/11) Solve an equation f(ݑ) = g(Űݑ) by graphing Űݑ = ưݑ(Ӱݑ) and Űݑ = g(ưݑ) and finding the x-value of the intersection point. Include cases where f(Űݑ) and/or g(Űݑ) are linear, polynomial, rational, absolute value, exponential, and logarithmic functi

Flip Charts Introduction to Functions

Flip Charts Math Grade 8

Flip Charts Systems of Equations

Solve equations and inequalities in one variable.

A.REI.2. (all) Apply and extend previous understanding to solve equations, inequalities, and compound inequalities in one variable, including literal equations and inequalities.

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

Solve systems of equations.

A.REI.6. (9/10) Analyze and solve pairs of simultaneous linear equations.

A.REI.6a. (9/10) Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.

Flip Charts Introduction to Functions

Flip Charts Math Grade 8

Flip Charts Systems of Equations

A.REI.6b. (9/10) Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3ݑ + 2Űݑ = 5 and 3ưݑ + 2Űݑ = 6 have no solution because 3ưݑ + 2Űݑ cannot simultan

Flip Charts Introduction to Functions

Flip Charts Math Grade 8

Flip Charts Systems of Equations

A.REI.6c. (9/10) Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second

Flip Charts Introduction to Functions

Flip Charts Math Grade 8

Flip Charts Systems of Equations

Understand solving equations as a process of reasoning and explain the reasoning.

A.REI.1. (all) 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

A.SSE. Seeing Structure in Expressions

Write expressions in equivalent forms to solve problems.

A.SSE.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

A.SSE.3c. (11) 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)12^t ≈ 1.012^12^t to reveal the approximate equivalent monthly interest rate if the annual rate is

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

KS.F.Functions

Functions

F.BF. Building Functions

Build a function that models a relationship between two quantities.

F.BF.1. Use functions to model real-world relationships.

F.BF.1b. (11) Determine an explicit expression, a recursive function, or steps for calculation from a context.

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

F.IF. Interpreting Functions

Interpret functions that arise in applications in terms of the context.

F.IF.4. (all) For a function that models a relationship between two quantities, interpret key features of expressions, graphs and tables in terms of the quantities, and sketch graphs showing key features given a description of the relationship. Key features inclu

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

F.IF.6. (9/10/11) 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. (9/10) limited to linear functions.

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

Analyze functions using different representations.

F.IF.7. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

F.IF.7a. (9/10) Graph linear, quadratic and absolute value functions and show intercepts, maxima, minima and end behavior.

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

F.IF.8. Write a function in different but equivalent forms to reveal and explain different properties of the function.

F.IF.8a. (9/10) Use different forms of linear functions, such as slope-intercept, standard, and point-slope form to show rate of change and intercepts.

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

F.IF.8c. (11) Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as ݑ = (1.02)^t, ưݑ = (0.97)^t, ưݑ = (1.01)^12t, ưݑ = (1.2)^t/10, and classify them as representing ex

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

Understand the concept of a function and use function notation.

F.IF.1. (all) 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 (ݑ) denotes the output o

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

F.LQE. Linear, Quadratic, and Exponential Models

Construct and compare linear, quadratic, and exponential models and solve problems.

F.LQE.1. Distinguish between situations that can be modeled with linear functions and with exponential functions.

F.LQE.1a. (11) 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

KS.G.Geometry

Geometry

G.CO. Congruence

Construct arguments about geometric theorems using rigid transformations and/or logic.

G.CO.7. (9/10) Construct arguments about lines and angles using theorems. 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 perpe

Flip Charts Math Grade 8

Flip Charts Plane Geometry

Experiment with transformations in the plane.

G.CO.1. (9/10) Verify experimentally (for example, using patty paper or geometry software) the properties of rotations, reflections, translations, and symmetry:

G.CO.1a. (9/10) Lines are taken to lines, and line segments to line segments of the same length.

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

G.CO.1b. (9/10) Angles are taken to angles of the same measure.

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

G.CO.1c. (9/10) Parallel lines are taken to parallel lines.

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

G.CO.1d. (9/10) Identify any line and/or rotational symmetry within a figure.

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

G.CO.2. (9/10) Recognize transformations as functions that take points in the plane as inputs and give other points as outputs and describe the effect of translations, rotations, and reflections on two-dimensional figures. For example, (ݑ,Űݑ) maps to (ưݑ+3,ŰݑƢȒ5)

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

G.GMD. Geometric Measurement and Dimension

Explain volume formulas and use them to solve problems.

G.GMD.1. (+) Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments and informal limit arguments.

Flip Charts Math Grade 8

Flip Charts Perimeter & Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

G.GPE. Expressing Geometric Properties with Equations

Use coordinates to prove simple geometric theorems algebraically.

G.GPE.7. (9/10) 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.8. (9/10) Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, including the use of the distance and midpoint formulas.

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

G.SRT. Similarity, Right Triangles, and Trigonometry

Construct arguments about theorems involving similarity.

G.SRT.6. (9/10) 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

Understand similarity in terms of similarity transformations.

G.SRT.1. (9/10) Use geometric constructions to verify the properties of dilations given by a center and a scale factor:

G.SRT.1a. (9/10) 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.1b. (9/10) The dilation of a line segment is longer or shorter in the ratio given by the scale factor.

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

G.SRT.2. (9/10) Recognize transformations as functions that take points in the plane as inputs and give other points as outputs and describe the effect of dilations on two-dimensional figures.

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

G.SRT.3. (9/10) Given two similar figures, describe a sequence of transformations that exhibits the similarity between them using coordinates and the non-coordinate plane.

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

G.SRT.4. (9/10) Understand the meaning of similarity for two-dimensional figures as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.

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

KS.N.Number and Quantity

Number and Quantity

N.RN. The Real Number System

Use properties of rational numbers and irrational numbers.

N.RN.3. (11) Rewrite expressions involving radicals and rational exponents using the properties of exponents.

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

KS.S.Statistics & Probability

Statistics & Probability

S.CP. Conditional Probability and the Rules of Probability

Understand independent and conditional probability and use them to interpret data.

S.CP.2. (+) Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.

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

S.ID. Interpreting Categorical and Quantitative Data

Summarize, represent, and interpret data on two categorical and quantitative variables.

S.ID.4. (9/10) 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 th

Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

S.ID.5. Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.

S.ID.5c. (+) Assess the fit of a function by plotting and analyzing residuals.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data