 Emerging Number and Quantity Approximate irrational numbers Approximate irrational numbers Algebra Rewrite linear equations in slope-intercept form Rewrite linear equations in slope-intercept form Perform operations on monomials Perform operations on monomials Write one-variable equations to represent real-world problems Write one-variable equations to represent real-world problems Verify solutions to absolute value inequalities Verify solutions to absolute value inequalities Verify solutions to systems of equations Verify solutions to systems of equations Rewrite powers of monomials Rewrite powers of monomials Find square roots of perfect squares Find square roots of perfect squares Find cube roots of perfect cubes Find cube roots of perfect cubes Convert between standard and scientific notation Convert between standard and scientific notation Use properties to rewrite numerical expressions Use properties to rewrite numerical expressions Functions Identify key features of graphs Identify key features of graphs Construct functions using function notation Construct functions using function notation Recognize situations that have linear relationships Recognize situations that have linear relationships Write linear functions from tables Write linear functions from tables Use linear functions to solve problems Use linear functions to solve problems Identify positive and negative slopes Identify positive and negative slopes Graph linear equations and systems of linear equations Graph linear equations and systems of linear equations Identify characteristics of linear equations from graphs Identify characteristics of linear equations from graphs Geometry Use angle-angle similarity to identify similar triangles Use angle-angle similarity to identify similar triangles Understand characteristics of circles Understand characteristics of circles Find the midpoint of a line segment on the coordinate plane Find the midpoint of a line segment on the coordinate plane Recognize equations of circles centered at the origin Recognize equations of circles centered at the origin Find the volume of cylinders, cones, pyramids, and spheres Find the volume of cylinders, cones, pyramids, and spheres Translate points in the coordinate plane Translate points in the coordinate plane Find scale factors Find scale factors Recognize that corresponding angles in similar figures are congruent Recognize that corresponding angles in similar figures are congruent Recognize translations, reflections, rotations, and dilations Recognize translations, reflections, rotations, and dilations Construct arguments using objects, drawings, and diagrams Construct arguments using objects, drawings, and diagrams Statistics and Probability Understand that estimates based on sample data are approximate Understand that estimates based on sample data are approximate Use experimental data to informally evaluate differences between population parameters Use experimental data to informally evaluate differences between population parameters Identify positive and negative association in scatterplots Identify positive and negative association in scatterplots Create stem-and-leaf plots and scatter plots Create stem-and-leaf plots and scatter plots Modeling Write linear equations to model relationships in tables and graphs Write linear equations to model relationships in tables and graphs Justification and Explanation Prepare to write proofs Prepare to write proofs Explain procedures Explain procedures Provide counterexamples Provide counterexamples Use patterns to draw conclusions Use patterns to draw conclusions Use conditional statements, models, or computations to draw conclusions Use conditional statements, models, or computations to draw conclusions Support claims and draw conclusions Support claims and draw conclusions Integrating Essential Skills Solve problems with decimals, fractions, exponents, and counting techniques Calculations with decimals and fractions Proportional reasoning Exponents Counting techniques Solve problems with decimals, fractions, exponents, and counting techniques Calculations with decimals and fractions Proportional reasoning Exponents Counting techniques Understand definitions and properties of simple geometric shapes Two-dimensional shapes Three-dimensional shapes Understand definitions and properties of simple geometric shapes Two-dimensional shapes Three-dimensional shapes Apply simple theorems about angles Apply simple theorems about angles Explain the concepts of area and volume 1. 2. Explain the concepts of area and volume 1. 2. Use different representations of data Use different representations of data Find probabilities using uniform probability models Find probabilities using uniform probability models Use samples to draw conclusions about populations Use samples to draw conclusions about populations Apply quantitative reasoning Scale drawings Unit conversions Apply quantitative reasoning Scale drawings Unit conversions Find measures of central tendency and create histograms Find measures of central tendency and create histograms
 Close Number and Quantity Compare and order rational and irrational numbers Compare and order rational and irrational numbers Algebra Interpret the meaning of parameters in real-world problems Interpret the meaning of parameters in real-world problems Rewrite rational expressions to use positive exponents Rewrite rational expressions to use positive exponents Identify the zeros of factored polynomials Identify the zeros of factored polynomials Solve equations using square roots Solve equations using square roots Solve equations using cube roots Solve equations using cube roots Create quadratic equations to represent a real-world problems Create quadratic equations to represent a real-world problems Write quadratic functions from their zeros Write quadratic functions from their zeros Verify solutions to compound inequalities Verify solutions to compound inequalities Rearrange linear formulas to highlight specific single-variable quantities Rearrange linear formulas to highlight specific single-variable quantities Solve and graph single-variable inequalities Two-step inequalities Advanced inequalities Solve and graph single-variable inequalities Two-step inequalities Advanced inequalities Graph two-variable linear inequalities Graph two-variable linear inequalities Solve linear equations Solve linear equations Graph linear equations Graph linear equations Approximate and solve systems of equations by graphing and verify solutions using any method 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 Understand when systems of equations have no solution or infinitely many solutions Strategically rewrite monomials Strategically rewrite monomials Functions Evaluate functions Evaluate functions Use function notation and definitions about functions Identify functions Use function notation Use function notation and definitions about functions Identify functions Use function notation Match quadratic functions and graphs Match quadratic functions and graphs Find inverses of linear functions Find inverses of linear functions Recognize situations that can be represented with exponential models Recognize situations that can be represented with exponential models Represent problems using graphs of linear functions Represent problems using graphs of linear functions Calculate slope Calculate slope Identify zero or undefined slope Identify zero or undefined slope Geometry Use congruence theorems Use congruence theorems Identify corresponding parts of similar triangles Identify corresponding parts of similar triangles Understand and explain that all circles are similar using dilation and translation Understand and explain that all circles are similar using dilation and translation Understand the parameters of equations of circles centered at the origin Understand the parameters of equations of circles centered at the origin Use slope to identify parallel and perpendicular lines Use slope to identify parallel and perpendicular lines Understand volume of prisms as equal to area of base times height, for any shaped base Understand volume of prisms as equal to area of base times height, for any shaped base Rotate points 180° about a center Rotate points 180° about a center Reflect figures over the x- or y-axis Reflect figures over the x- or y-axis Rotate figures about the origin Rotate figures about the origin Find measures of angles formed when parallel lines are cut by a transversal Find measures of angles formed when parallel lines are cut by a transversal Construct arguments, state assumptions, and provide counterexamples Construct arguments, state assumptions, and provide counterexamples Statistics and Probability Compare experimental data and predictions Compare experimental data and predictions Explain independent events Explain independent events Identify independent and dependent variables and related situations Identify independent and dependent variables and related situations Relate scatter plots to data sets or descriptions Relate scatter plots to data sets or descriptions Estimate lines of best fit Estimate lines of best fit Modeling Model real-world problems using linear equations and interpret graphs of the models Model real-world problems using linear equations and interpret graphs of the models Justification and Explanation Justify conclusions by verifying claims, explaining errors in reasoning, and providing counterexamples Justify conclusions by verifying claims, explaining errors in reasoning, and providing counterexamples Use definitions about functions Use definitions about functions Integrating Essential Skills Find probabilities of compound events Find probabilities of compound events Convert between measurement units and systems Convert between measurement units and systems Apply quantitative reasoning Apply quantitative reasoning
 Ready Number and Quantity Simplify radicals Simplify radicals Add and subtract radicals Add and subtract radicals Multiply and divide radicals Multiply and divide radicals Evaluate and rewrite expressions with rational exponents Evaluate expressions Rewrite expressions Evaluate and rewrite expressions with rational exponents Evaluate expressions Rewrite expressions Use units to understand and solve multi-step problems Use units to understand and solve multi-step problems Classify square roots as rational or irrational Classify square roots as rational or irrational Algebra Use the structure of expressions to rewrite them Use the structure of expressions to rewrite them Interpret parts of expressions Interpret parts of expressions Add and subtract polynomials Add and subtract polynomials Multiply binomials Multiply binomials Factor quadratics Factor quadratics Rewrite rational expressions using positive and negative exponents Rewrite rational expressions using positive and negative exponents Write quadratic and polynomial equations using zeros and other graphical information Write quadratic and polynomial equations using zeros and other graphical information Write systems of equations to represent real-world problems Write systems of equations to represent real-world problems Solve equations using square roots Solve equations using square roots Rearrange formulas to highlight specific quantities Rearrange formulas to highlight specific quantities Solve and graph solutions to absolute value inequalities Solve and graph solutions to absolute value inequalities Solve systems of linear equations Solve systems of linear equations Graph solutions to systems of linear inequalities Graph solutions to systems of linear inequalities Understand solutions to a system of equations Understand solutions to a system of equations Apply properties of equality to solve equations Apply properties of equality to solve equations Perform operations with numbers in scientific notation Perform operations with numbers in scientific notation Strategically rewrite polynomials Strategically rewrite polynomials Functions Find the average rate of change Find the average rate of change Use graphs to find the average rate of change over intervals in nonlinear functions Use graphs to find the average rate of change over intervals in nonlinear functions Identify domain and range Identify domain and range Use formulas for geometric sequences Use formulas for geometric sequences Combine functions Combine functions Find inverses of linear functions Find inverses of linear functions Understand translations of functions Understand translations of functions Identify situations that can be modeled with quadratic relationships Identify situations that can be modeled with quadratic relationships Identify functions Identify functions Understand slope as a constant rate of change Understand slope as a constant rate of change Attend to precision Attend to precision Geometry Describe congruence transformations Describe congruence transformations Perform basic constructions Midpoints Angles Lines Polygons Perform basic constructions Midpoints Angles Lines Polygons Find unknown side lengths in similar triangles Find unknown side lengths in similar triangles Recognize dilations of polygons Recognize dilations of polygons Identify and use relationships in circles Identify and use relationships in circles Graph circles from equations Graph circles from equations Apply similarity and congruence criteria on the coordinate plane Apply similarity and congruence criteria on the coordinate plane Identify and write equations to represent parallel and perpendicular lines Identify and write equations to represent parallel and perpendicular lines Find the volume of prisms and cylinders with irregular bases Find the volume of prisms and cylinders with irregular bases Solve real-world problems involving area and volume Solve real-world problems involving area and volume Use the Pythagorean theorem to find missing side lengths Use the Pythagorean theorem to find missing side lengths Make and support conjectures about angle relationships when parallel lines are cut by a transversal 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 Find distances between two points on the coordinate plane using the Pythagorean theorem Construct simple proofs Construct simple proofs Statistics and Probability Compare summary statistics for two different data sets Compare summary statistics for two different data sets Analyze sample surveys, experimental studies, and observational studies Analyze sample surveys, experimental studies, and observational studies Identify independent events and find the joint probability of two independent events Identify independent events and find the joint probability of two independent events Find conditional probabilities from two-way tables 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 Create and use linear models to solve problems involving data sets or scatter plots and interpret models in context Modeling Write systems of equations to represent real-world problems Write systems of equations to represent real-world problems Justification and Explanation Support claims with evidence and clear solution paths Equations Proofs Support claims with evidence and clear solution paths Equations Proofs Integrating Essential Skills Perform operations with rational expressions Perform operations with rational expressions Interpret data distributions Interpret data distributions Understand the role of random sampling for surveys Understand the role of random sampling for surveys Reason quantitatively and attend to meaning when solving problems Rates and measurements Area and perimeter Surface area and volume Reason quantitatively and attend to meaning when solving problems Rates and measurements Area and perimeter Surface area and volume
 Exceeding Number and Quantity Evaluate radical expressions Evaluate radical expressions Rewrite radical expressions