Approximate irrational numbers

Rewrite linear equations in slope-intercept form

Perform operations on monomials

Write one-variable equations to represent real-world problems

Verify solutions to absolute value inequalities

Verify solutions to systems of equations

Rewrite powers of monomials

Find square roots of perfect squares

Find cube roots of perfect cubes

Convert between standard and scientific notation

Use properties to rewrite numerical expressions

Identify key features of graphs

Construct functions using function notation

Recognize situations that have linear relationships

Write linear functions from tables

Use linear functions to solve problems

Identify positive and negative slopes

Graph linear equations and systems of linear equations

Identify characteristics of linear equations from graphs

Use angle-angle similarity to identify similar triangles

Understand characteristics of circles

Find the midpoint of a line segment on the coordinate plane

Recognize equations of circles centered at the origin

Find the volume of cylinders, cones, pyramids, and spheres

Translate points in the coordinate plane

Find scale factors

Recognize that corresponding angles in similar figures are congruent

Recognize translations, reflections, rotations, and dilations

Construct arguments using objects, drawings, and diagrams

Understand that estimates based on sample data are approximate

Use experimental data to informally evaluate differences between population parameters

Identify positive and negative association in scatterplots

Create stem-and-leaf plots and scatter plots

Write linear equations to model relationships in tables and graphs

Prepare to write proofs

Explain procedures

Provide counterexamples

Use patterns to draw conclusions

Use conditional statements, models, or computations to draw conclusions

Support claims and draw conclusions

Solve problems with decimals, fractions, exponents, and counting techniques

Understand definitions and properties of simple geometric shapes

Apply simple theorems about angles

Explain the concepts of area and volume

Use different representations of data

Find probabilities using uniform probability models

Use samples to draw conclusions about populations

Apply quantitative reasoning

Find measures of central tendency and create histograms

Compare and order rational and irrational numbers

Interpret the meaning of parameters in real-world problems

Rewrite rational expressions to use positive exponents

Identify the zeros of factored polynomials

Solve equations using square roots

Solve equations using cube roots

Create quadratic equations to represent a real-world problems

Write quadratic functions from their zeros

Verify solutions to compound inequalities

Rearrange linear formulas to highlight specific single-variable quantities

Solve and graph single-variable inequalities

Graph two-variable linear inequalities

Solve linear equations

Graph linear equations

Approximate and solve systems of equations by graphing and verify solutions using any method

Understand when systems of equations have no solution or infinitely many solutions

Strategically rewrite monomials

Evaluate functions

Use function notation and definitions about functions

Match quadratic functions and graphs

Find inverses of linear functions

Recognize situations that can be represented with exponential models

Represent problems using graphs of linear functions

Calculate slope

Identify zero or undefined slope

Use congruence theorems

Identify corresponding parts of similar triangles

Understand and explain that all circles are similar using dilation and translation

Understand the parameters of equations of circles centered at the origin

Use slope to identify parallel and perpendicular lines

Understand volume of prisms as equal to area of base times height, for any shaped base

Rotate points 180° about a center

Reflect figures over the x- or y-axis

Rotate figures about the origin

Find measures of angles formed when parallel lines are cut by a transversal

Construct arguments, state assumptions, and provide counterexamples

Compare experimental data and predictions

Explain independent events

Identify independent and dependent variables and related situations

Relate scatter plots to data sets or descriptions

Estimate lines of best fit

Model real-world problems using linear equations and interpret graphs of the models

Justify conclusions by verifying claims, explaining errors in reasoning, and providing counterexamples

Use definitions about functions

Find probabilities of compound events

Convert between measurement units and systems

Apply quantitative reasoning

Simplify radicals

Add and subtract radicals

Multiply and divide radicals

Evaluate and rewrite expressions with rational exponents

Use units to understand and solve multi-step problems

Classify square roots as rational or irrational

Use the structure of expressions to rewrite them

Interpret parts of expressions

Add and subtract polynomials

Multiply binomials

Factor quadratics

Rewrite rational expressions using positive and negative exponents

Write quadratic and polynomial equations using zeros and other graphical information

Write systems of equations to represent real-world problems

Solve equations using square roots

Rearrange formulas to highlight specific quantities

Solve and graph solutions to absolute value inequalities

Solve systems of linear equations

Graph solutions to systems of linear inequalities

Understand solutions to a system of equations

Apply properties of equality to solve equations

Perform operations with numbers in scientific notation

Strategically rewrite polynomials

Find the average rate of change

Use graphs to find the average rate of change over intervals in nonlinear functions

Identify domain and range

Use formulas for geometric sequences

Combine functions

Find inverses of linear functions

Understand translations of functions

Identify situations that can be modeled with quadratic relationships

Identify functions

Understand slope as a constant rate of change

Attend to precision

Describe congruence transformations

Perform basic constructions

Find unknown side lengths in similar triangles

Recognize dilations of polygons

Identify and use relationships in circles

Graph circles from equations

Apply similarity and congruence criteria on the coordinate plane

Identify and write equations to represent parallel and perpendicular lines

Find the volume of prisms and cylinders with irregular bases

Solve real-world problems involving area and volume

Use the Pythagorean theorem to find missing side lengths

Make and support conjectures about angle relationships when parallel lines are cut by a transversal

Find distances between two points on the coordinate plane using the Pythagorean theorem

Construct simple proofs

Compare summary statistics for two different data sets

Analyze sample surveys, experimental studies, and observational studies

Identify independent events and find the joint probability of two independent events

Find conditional probabilities from two-way tables

Create and use linear models to solve problems involving data sets or scatter plots and interpret models in context

Write systems of equations to represent real-world problems