IXL skill plan | Math Geometry plan for the Renaissance Star Assessments

Skill plan for the Renaissance Star Assessments - Math Geometry

IXL provides skill alignments with recommended IXL skills for every student. Find the IXL skills that are right for you below!

Domain

Number and Operations
Algebra
Geometry and Measurement
Data Analysis, Statistics, and Probability

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Number and Operations
Score: Less than 1024
Evaluate powers and square roots		1. Evaluate powers 2. Square roots of perfect squares
Evaluate powers and square roots
1. Evaluate powers 2. Square roots of perfect squares
Score: 1024–1068
Evaluate powers and roots		1. Evaluate powers 2. Positive and negative square roots 3. Cube roots of positive perfect cubes 4. Cube roots of positive and negative perfect cubes
Evaluate powers and roots
1. Evaluate powers 2. Positive and negative square roots 3. Cube roots of positive perfect cubes 4. Cube roots of positive and negative perfect cubes
Score: 1069–1113
Evaluate radicals and rational exponents		1. Evaluate integers raised to positive rational exponents 2. Simplify radical expressions 3. Simplify radicals with fractions
Evaluate radicals and rational exponents
1. Evaluate integers raised to positive rational exponents 2. Simplify radical expressions 3. Simplify radicals with fractions
Score: 1114–1168
Evaluate radicals and rational exponents		1. Evaluate integers raised to rational exponents 2. Add and subtract radical expressions
Evaluate radicals and rational exponents
1. Evaluate integers raised to rational exponents 2. Add and subtract radical expressions
Score: 1169+
Evaluate expressions with radicals and rational exponents		1. Evaluate rational exponents 2. Simplify radical expressions using the distributive property 3. Simplify radical expressions using conjugates
Evaluate expressions with radicals and rational exponents
1. Evaluate rational exponents 2. Simplify radical expressions using the distributive property 3. Simplify radical expressions using conjugates

Algebra
Score: Less than 1024
Simplify expressions		Exponents 1. Understanding exponents 2. Evaluate powers Variable expressions 3. Simplify expressions by combining like terms: with algebra tiles 4. Simplify expressions by combining like terms 5. Multiply using the distributive property: area models 6. Multiply using the distributive property 7. Factor linear expressions: area models
Simplify expressions
Exponents 1. Understanding exponents 2. Evaluate powers Variable expressions 3. Simplify expressions by combining like terms: with algebra tiles 4. Simplify expressions by combining like terms 5. Multiply using the distributive property: area models 6. Multiply using the distributive property 7. Factor linear expressions: area models

Solve linear equations		1. Solve two-step equations 2. Solve equations: complete the solution 3. Choose two-step equations: word problems 4. Solve two-step equations: word problems
Solve linear equations
1. Solve two-step equations 2. Solve equations: complete the solution 3. Choose two-step equations: word problems 4. Solve two-step equations: word problems

Solve linear inequalities		1. Solve two-step inequalities 2. Graph solutions to two-step inequalities
Solve linear inequalities
1. Solve two-step inequalities 2. Graph solutions to two-step inequalities

Evaluate equations		1. Evaluate two-variable equations: word problems
Evaluate equations
1. Evaluate two-variable equations: word problems

Identify characteristics of linear functions		1. Identify independent and dependent variables 2. Constant rate of change: graphs
Identify characteristics of linear functions
1. Identify independent and dependent variables 2. Constant rate of change: graphs

Write equations		Proportional relationships 1. Write equations for proportional relationships from tables 2. Write equations for proportional relationships from graphs Linear relationships 3. Write an equation from a graph using a table 4. Write a two-variable equation
Write equations
Proportional relationships 1. Write equations for proportional relationships from tables 2. Write equations for proportional relationships from graphs Linear relationships 3. Write an equation from a graph using a table 4. Write a two-variable equation

Graph on the coordinate plane		1. Identify the graph of an equation 2. Graph a two-variable equation
Graph on the coordinate plane
1. Identify the graph of an equation 2. Graph a two-variable equation
Score: 1024–1068
Simplify expressions		Exponents 1. Understanding negative exponents 2. Evaluate powers with negative or zero exponents 3. Multiply and divide powers: integer bases 4. Power of a power: integer bases 5. Evaluate expressions using properties of exponents 6. Identify equivalent expressions involving exponents I Variable expressions 7. Multiply using the distributive property 8. Add and subtract like terms 9. Add and subtract linear expressions 10. Factors of linear expressions
Simplify expressions
Exponents 1. Understanding negative exponents 2. Evaluate powers with negative or zero exponents 3. Multiply and divide powers: integer bases 4. Power of a power: integer bases 5. Evaluate expressions using properties of exponents 6. Identify equivalent expressions involving exponents I Variable expressions 7. Multiply using the distributive property 8. Add and subtract like terms 9. Add and subtract linear expressions 10. Factors of linear expressions

Solve linear equations		One-variable equations 1. Solve equations involving like terms 2. Solve equations with variables on both sides 3. Solve equations with variables on both sides: fractional coefficients 4. Solve equations using the distributive property 5. Solve multi-step equations 6. Solve multi-step equations with fractional coefficients Two-variable equations 7. Is (x, y) a solution to the linear equation?
Solve linear equations
One-variable equations 1. Solve equations involving like terms 2. Solve equations with variables on both sides 3. Solve equations with variables on both sides: fractional coefficients 4. Solve equations using the distributive property 5. Solve multi-step equations 6. Solve multi-step equations with fractional coefficients Two-variable equations 7. Is (x, y) a solution to the linear equation?

Solve linear inequalities		1. Solve multi-step inequalities 2. Graph solutions to multi-step inequalities
Solve linear inequalities
1. Solve multi-step inequalities 2. Graph solutions to multi-step inequalities

Solve equations using square roots		1. Solve equations using square roots
Solve equations using square roots
1. Solve equations using square roots

Evaluate linear functions		1. Evaluate a linear function
Evaluate linear functions
1. Evaluate a linear function

Identify characteristics of functions		Function concepts 1. Domain and range of functions 2. Identify functions 3. Identify functions: graphs Linear functions 4. Find the slope from a graph 5. Find the slope from two points 6. Find the slope from a table 7. Rate of change of a linear function: graphs 8. Interpret the slope and y-intercept of a linear function Linear and nonlinear functions 9. Identify linear and nonlinear functions: graphs and equations 10. Identify linear and nonlinear functions: tables
Identify characteristics of functions
Function concepts 1. Domain and range of functions 2. Identify functions 3. Identify functions: graphs Linear functions 4. Find the slope from a graph 5. Find the slope from two points 6. Find the slope from a table 7. Rate of change of a linear function: graphs 8. Interpret the slope and y-intercept of a linear function Linear and nonlinear functions 9. Identify linear and nonlinear functions: graphs and equations 10. Identify linear and nonlinear functions: tables

Write linear equations		1. Write a linear equation from a slope and y-intercept 2. Write a linear equation from a graph 3. Write a linear equation from a slope and a point 4. Write a linear equation from two points 5. Write linear functions: word problems
Write linear equations
1. Write a linear equation from a slope and y-intercept 2. Write a linear equation from a graph 3. Write a linear equation from a slope and a point 4. Write a linear equation from two points 5. Write linear functions: word problems

Graph lines and interpret points on the coordinate plane		1. Graph a line using slope 2. Graph a line from an equation in slope-intercept form 3. Interpret points on the graph of a linear function
Graph lines and interpret points on the coordinate plane
1. Graph a line using slope 2. Graph a line from an equation in slope-intercept form 3. Interpret points on the graph of a linear function

Solve systems of equations		1. Is (x, y) a solution to the system of equations? 2. Solve a system of equations by graphing 3. Solve a system of equations by graphing: word problems 4. Find the number of solutions to a system of equations by graphing 5. Solve a system of equations using substitution 6. Solve a system of equations using elimination
Solve systems of equations
1. Is (x, y) a solution to the system of equations? 2. Solve a system of equations by graphing 3. Solve a system of equations by graphing: word problems 4. Find the number of solutions to a system of equations by graphing 5. Solve a system of equations using substitution 6. Solve a system of equations using elimination
Score: 1069–1113
Simplify expressions		Exponents 1. Negative exponents 2. Multiplication rule for exponents 3. Division rule for exponents 4. Power rule for exponents Variable expressions 5. Simplify linear expressions using properties 6. Simplify variable expressions involving like terms and the distributive property 7. Sort factors of variable expressions
Simplify expressions
Exponents 1. Negative exponents 2. Multiplication rule for exponents 3. Division rule for exponents 4. Power rule for exponents Variable expressions 5. Simplify linear expressions using properties 6. Simplify variable expressions involving like terms and the distributive property 7. Sort factors of variable expressions

Solve linear equations		One-variable equations 1. Solve linear equations with variables on both sides 2. Solve linear equations: complete the solution 3. Solve linear equations with variables on both sides: word problems 4. Solve linear equations: mixed review Multi-variable equations 5. Linear equations: solve for y 6. Rearrange multi-variable equations Direct and inverse variation 7. Write direct variation equations 8. Write and solve direct variation equations 9. Write inverse variation equations 10. Write and solve inverse variation equations
Solve linear equations
One-variable equations 1. Solve linear equations with variables on both sides 2. Solve linear equations: complete the solution 3. Solve linear equations with variables on both sides: word problems 4. Solve linear equations: mixed review Multi-variable equations 5. Linear equations: solve for y 6. Rearrange multi-variable equations Direct and inverse variation 7. Write direct variation equations 8. Write and solve direct variation equations 9. Write inverse variation equations 10. Write and solve inverse variation equations

Solve linear inequalities		One-variable inequalities 1. Solve multi-step linear inequalities 2. Graph solutions to multi-step linear inequalities 3. Graph compound inequalities 4. Write compound inequalities from graphs 5. Solve compound inequalities 6. Graph solutions to compound inequalities Two-variable inequalities 7. Does (x, y) satisfy the inequality?
Solve linear inequalities
One-variable inequalities 1. Solve multi-step linear inequalities 2. Graph solutions to multi-step linear inequalities 3. Graph compound inequalities 4. Write compound inequalities from graphs 5. Solve compound inequalities 6. Graph solutions to compound inequalities Two-variable inequalities 7. Does (x, y) satisfy the inequality?

Solve nonlinear equations		Quadratic equations 1. Solve a quadratic equation using square roots Absolute value equations 2. Solve absolute value equations 3. Graph solutions to absolute value equations 4. Write absolute value equations from graphs Absolute value inequalities 5. Solve absolute value inequalities 6. Graph solutions to absolute value inequalities
Solve nonlinear equations
Quadratic equations 1. Solve a quadratic equation using square roots Absolute value equations 2. Solve absolute value equations 3. Graph solutions to absolute value equations 4. Write absolute value equations from graphs Absolute value inequalities 5. Solve absolute value inequalities 6. Graph solutions to absolute value inequalities

Evaluate functions		1. Evaluate a function 2. Find values using function graphs 3. Complete a function table from a graph 4. Complete a function table from an equation
Evaluate functions
1. Evaluate a function 2. Find values using function graphs 3. Complete a function table from a graph 4. Complete a function table from an equation

Identify characteristics of functions		Function concepts 1. Domain and range of relations 2. Identify independent and dependent variables 3. Identify functions 4. Identify functions: vertical line test 5. Domain and range of linear functions: word problems Linear functions 6. Find the slope of a graph 7. Find the slope from two points 8. Find the slope from a table 9. Find a missing coordinate using slope 10. Standard form: find x- and y-intercepts 11. Slopes of parallel and perpendicular lines 12. Interpret the slope and y-intercept of a linear function Transformations of functions 13. Transformations of linear functions Direct and inverse variation 14. Find the constant of variation
Identify characteristics of functions
Function concepts 1. Domain and range of relations 2. Identify independent and dependent variables 3. Identify functions 4. Identify functions: vertical line test 5. Domain and range of linear functions: word problems Linear functions 6. Find the slope of a graph 7. Find the slope from two points 8. Find the slope from a table 9. Find a missing coordinate using slope 10. Standard form: find x- and y-intercepts 11. Slopes of parallel and perpendicular lines 12. Interpret the slope and y-intercept of a linear function Transformations of functions 13. Transformations of linear functions Direct and inverse variation 14. Find the constant of variation

Write linear equations		1. Slope-intercept form: write an equation from a graph 2. Slope-intercept form: write an equation 3. Slope-intercept form: write an equation from a table 4. Write linear equations in standard form 5. Equations of horizontal and vertical lines 6. Point-slope form: write an equation 7. Write a linear function: word problems
Write linear equations
1. Slope-intercept form: write an equation from a graph 2. Slope-intercept form: write an equation 3. Slope-intercept form: write an equation from a table 4. Write linear equations in standard form 5. Equations of horizontal and vertical lines 6. Point-slope form: write an equation 7. Write a linear function: word problems

Create and interpret graphs on the coordinate plane		Linear functions 1. Relate the graph of a linear equation to its solutions 2. Slope-intercept form: graph an equation 3. Standard form: graph a line from an equation 4. Graph a horizontal or vertical line 5. Point-slope form: graph an equation Circles 6. Find the center of a circle 7. Find the radius or diameter of a circle
Create and interpret graphs on the coordinate plane
Linear functions 1. Relate the graph of a linear equation to its solutions 2. Slope-intercept form: graph an equation 3. Standard form: graph a line from an equation 4. Graph a horizontal or vertical line 5. Point-slope form: graph an equation Circles 6. Find the center of a circle 7. Find the radius or diameter of a circle

Solve systems of equations		Understand solutions 1. Find the number of solutions to a system of equations by graphing 2. Find the number of solutions to a system of equations Graphing 3. Solve a system of equations by graphing 4. Solve a system of equations by graphing: word problems Substitution 5. Solve a system of equations using substitution 6. Solve a system of equations using substitution: word problems Elimination 7. Solve a system of equations using elimination 8. Solve a system of equations using elimination: word problems Any method 9. Solve a system of equations using any method 10. Solve a system of equations using any method: word problems
Solve systems of equations
Understand solutions 1. Find the number of solutions to a system of equations by graphing 2. Find the number of solutions to a system of equations Graphing 3. Solve a system of equations by graphing 4. Solve a system of equations by graphing: word problems Substitution 5. Solve a system of equations using substitution 6. Solve a system of equations using substitution: word problems Elimination 7. Solve a system of equations using elimination 8. Solve a system of equations using elimination: word problems Any method 9. Solve a system of equations using any method 10. Solve a system of equations using any method: word problems

Understand patterns in sequences		1. Identify arithmetic and geometric sequences 2. Arithmetic sequences 3. Geometric sequences
Understand patterns in sequences
1. Identify arithmetic and geometric sequences 2. Arithmetic sequences 3. Geometric sequences
Score: 1114–1168
Simplify expressions		Integer exponents 1. Simplify exponential expressions using the multiplication rule 2. Simplify exponential expressions using the division rule 3. Simplify exponential expressions using the multiplication and division rules 4. Simplify exponential expressions using the power rule 5. Simplify exponential expressions using exponent rules Rational exponents 6. Multiplication with rational exponents 7. Division with rational exponents 8. Power rule with rational exponents 9. Simplify expressions involving rational exponents Polynomial expressions 10. Polynomial vocabulary 11. Add and subtract polynomials using algebra tiles 12. Add and subtract polynomials 13. Multiply a polynomial by a monomial 14. Multiply two binomials using algebra tiles 15. Multiply two binomials 16. Multiply two binomials: special cases 17. Multiply polynomials 18. Multiply polynomials to find area 19. Divide polynomials by monomials 20. Divide polynomials using long division 21. Checkpoint: Polynomial operations Factoring 22. GCF of monomials 23. Factor out a monomial 24. Factor quadratics using algebra tiles 25. Factor quadratics with leading coefficient 1 26. Factor quadratics with other leading coefficients 27. Factor quadratics: special cases 28. Factor by grouping 29. Factor using a quadratic pattern 30. Factor polynomials Radical expressions 31. Simplify radical expressions with variables 32. Multiply radical expressions 33. Checkpoint: Radical expressions Function operations 34. Multiply functions
Simplify expressions
Integer exponents 1. Simplify exponential expressions using the multiplication rule 2. Simplify exponential expressions using the division rule 3. Simplify exponential expressions using the multiplication and division rules 4. Simplify exponential expressions using the power rule 5. Simplify exponential expressions using exponent rules Rational exponents 6. Multiplication with rational exponents 7. Division with rational exponents 8. Power rule with rational exponents 9. Simplify expressions involving rational exponents Polynomial expressions 10. Polynomial vocabulary 11. Add and subtract polynomials using algebra tiles 12. Add and subtract polynomials 13. Multiply a polynomial by a monomial 14. Multiply two binomials using algebra tiles 15. Multiply two binomials 16. Multiply two binomials: special cases 17. Multiply polynomials 18. Multiply polynomials to find area 19. Divide polynomials by monomials 20. Divide polynomials using long division 21. Checkpoint: Polynomial operations Factoring 22. GCF of monomials 23. Factor out a monomial 24. Factor quadratics using algebra tiles 25. Factor quadratics with leading coefficient 1 26. Factor quadratics with other leading coefficients 27. Factor quadratics: special cases 28. Factor by grouping 29. Factor using a quadratic pattern 30. Factor polynomials Radical expressions 31. Simplify radical expressions with variables 32. Multiply radical expressions 33. Checkpoint: Radical expressions Function operations 34. Multiply functions

Solve linear equations and inequalities		1. Checkpoint: Solve linear equations and inequalities
Solve linear equations and inequalities
1. Checkpoint: Solve linear equations and inequalities

Understand nonlinear equations		Quadratic equations 1. Solve a quadratic equation using the zero product property 2. Solve a quadratic equation by factoring 3. Complete the square 4. Solve a quadratic equation by completing the square 5. Solve a quadratic equation using the quadratic formula 6. Solve quadratic equations: word problems 7. Using the discriminant 8. Checkpoint: Solve quadratic equations Radical equations 9. Solve radical equations I 10. Solve radical equations II Equations of circles 11. Determine if a point lies on a circle 12. Derive equations of circles using the Pythagorean theorem 13. Write equations of circles in standard form from graphs 14. Write equations of circles in standard form using properties 15. Convert equations of circles from general to standard form 16. Find properties of circles from equations in general form
Understand nonlinear equations
Quadratic equations 1. Solve a quadratic equation using the zero product property 2. Solve a quadratic equation by factoring 3. Complete the square 4. Solve a quadratic equation by completing the square 5. Solve a quadratic equation using the quadratic formula 6. Solve quadratic equations: word problems 7. Using the discriminant 8. Checkpoint: Solve quadratic equations Radical equations 9. Solve radical equations I 10. Solve radical equations II Equations of circles 11. Determine if a point lies on a circle 12. Derive equations of circles using the Pythagorean theorem 13. Write equations of circles in standard form from graphs 14. Write equations of circles in standard form using properties 15. Convert equations of circles from general to standard form 16. Find properties of circles from equations in general form

Evaluate functions		1. Evaluate a function: plug in an expression 2. Evaluate an exponential function 3. Evaluate piecewise-defined functions 4. Evaluate square root functions
Evaluate functions
1. Evaluate a function: plug in an expression 2. Evaluate an exponential function 3. Evaluate piecewise-defined functions 4. Evaluate square root functions

Identify characteristics of functions		Quadratic functions 1. Domain and range of quadratic functions: graphs 2. Domain and range of quadratic functions: equations 3. Characteristics of quadratic functions: graphs 4. Characteristics of quadratic functions: equations Absolute value functions 5. Domain and range of absolute value functions: graphs 6. Domain and range of absolute value functions: equations Square root functions 7. Domain and range of square root functions: graphs 8. Domain and range of square root functions: equations Inverse functions 9. Find the inverse of a linear function Transformations of functions 10. Function transformation rules 11. Translations of functions 12. Reflections of functions 13. Dilations of functions 14. Transformations of functions 15. Describe function transformations 16. Checkpoint: Function transformations
Identify characteristics of functions
Quadratic functions 1. Domain and range of quadratic functions: graphs 2. Domain and range of quadratic functions: equations 3. Characteristics of quadratic functions: graphs 4. Characteristics of quadratic functions: equations Absolute value functions 5. Domain and range of absolute value functions: graphs 6. Domain and range of absolute value functions: equations Square root functions 7. Domain and range of square root functions: graphs 8. Domain and range of square root functions: equations Inverse functions 9. Find the inverse of a linear function Transformations of functions 10. Function transformation rules 11. Translations of functions 12. Reflections of functions 13. Dilations of functions 14. Transformations of functions 15. Describe function transformations 16. Checkpoint: Function transformations

Write equations		1. Write an equation for a parallel or perpendicular line 2. Write a quadratic function in vertex form 3. Write a quadratic function in vertex form from its vertex and another point 4. Write a quadratic function in factored form from its x-intercepts and another point 5. Write linear and exponential functions: word problems
Write equations
1. Write an equation for a parallel or perpendicular line 2. Write a quadratic function in vertex form 3. Write a quadratic function in vertex form from its vertex and another point 4. Write a quadratic function in factored form from its x-intercepts and another point 5. Write linear and exponential functions: word problems

Create and interpret graphs on the coordinate plane		Linear inequalities 1. Linear inequalities: solve for y 2. Graph a two-variable linear inequality 3. Write a linear inequality from a graph 4. Solve systems of linear inequalities by graphing Piecewise-defined functions 5. Graph piecewise-defined functions Quadratic functions 6. Complete a function table: quadratic functions 7. Graph quadratic functions in vertex form 8. Graph quadratic functions in standard form 9. Match quadratic functions and graphs Exponential functions 10. Graph exponential functions 11. Match exponential functions and graphs I 12. Match exponential functions and graphs II Absolute value functions 13. Complete a function table: absolute value functions 14. Graph an absolute value function Square root functions 15. Graph square root functions Equations of circles 16. Graph circles from equations in standard form 17. Graph circles from equations in general form
Create and interpret graphs on the coordinate plane
Linear inequalities 1. Linear inequalities: solve for y 2. Graph a two-variable linear inequality 3. Write a linear inequality from a graph 4. Solve systems of linear inequalities by graphing Piecewise-defined functions 5. Graph piecewise-defined functions Quadratic functions 6. Complete a function table: quadratic functions 7. Graph quadratic functions in vertex form 8. Graph quadratic functions in standard form 9. Match quadratic functions and graphs Exponential functions 10. Graph exponential functions 11. Match exponential functions and graphs I 12. Match exponential functions and graphs II Absolute value functions 13. Complete a function table: absolute value functions 14. Graph an absolute value function Square root functions 15. Graph square root functions Equations of circles 16. Graph circles from equations in standard form 17. Graph circles from equations in general form

Understand patterns and sequences		1. Evaluate variable expressions for number sequences 2. Write variable expressions for arithmetic sequences 3. Write variable expressions for geometric sequences
Understand patterns and sequences
1. Evaluate variable expressions for number sequences 2. Write variable expressions for arithmetic sequences 3. Write variable expressions for geometric sequences
Score: 1169+
Simplify algebraic expressions		Rational exponents 1. Simplify expressions involving rational exponents I 2. Simplify expressions involving rational exponents II Polynomial expressions 3. Divide polynomials using long division 4. Divide polynomials using synthetic division 5. Find the roots of factored polynomials Radical expressions 6. Simplify radical expressions with variables I 7. Simplify radical expressions with variables II 8. Nth roots
Simplify algebraic expressions
Rational exponents 1. Simplify expressions involving rational exponents I 2. Simplify expressions involving rational exponents II Polynomial expressions 3. Divide polynomials using long division 4. Divide polynomials using synthetic division 5. Find the roots of factored polynomials Radical expressions 6. Simplify radical expressions with variables I 7. Simplify radical expressions with variables II 8. Nth roots

Solve nonlinear equations		Quadratic equations 1. Solve a quadratic equation using square roots 2. Using the discriminant Polynomial equations 3. Solve polynomial equations by factoring Radical equations 4. Solve radical equations Rational equations 5. Solve rational equations Exponential equations 6. Solve exponential equations by rewriting the base
Solve nonlinear equations
Quadratic equations 1. Solve a quadratic equation using square roots 2. Using the discriminant Polynomial equations 3. Solve polynomial equations by factoring Radical equations 4. Solve radical equations Rational equations 5. Solve rational equations Exponential equations 6. Solve exponential equations by rewriting the base

Identify characteristics of functions		Domain and range 1. Domain and range of polynomials 2. Domain and range of radical functions Exponential functions 3. Compound interest: word problems Inverse functions 4. Find values of inverse functions from tables 5. Find values of inverse functions from graphs 6. Find inverse functions and relations Transformation of functions 7. Transformations of functions 8. Describe function transformations
Identify characteristics of functions
Domain and range 1. Domain and range of polynomials 2. Domain and range of radical functions Exponential functions 3. Compound interest: word problems Inverse functions 4. Find values of inverse functions from tables 5. Find values of inverse functions from graphs 6. Find inverse functions and relations Transformation of functions 7. Transformations of functions 8. Describe function transformations

Write equations		1. Write the equation of a linear function 2. Write a quadratic function from three points 3. Write exponential functions: word problems 4. Exponential growth and decay: word problems
Write equations
1. Write the equation of a linear function 2. Write a quadratic function from three points 3. Write exponential functions: word problems 4. Exponential growth and decay: word problems

Graph on the coordinate plane		1. Match exponential functions and graphs 2. Match polynomials and graphs 3. Graph square root functions 4. Graph circles 5. Graph parabolas
Graph on the coordinate plane
1. Match exponential functions and graphs 2. Match polynomials and graphs 3. Graph square root functions 4. Graph circles 5. Graph parabolas

Understand patterns		Sequences 1. Classify formulas and sequences 2. Sequences: mixed review Binomial expansion 3. Pascal's triangle 4. Pascal's triangle and the Binomial Theorem 5. Binomial Theorem I 6. Binomial Theorem II
Understand patterns
Sequences 1. Classify formulas and sequences 2. Sequences: mixed review Binomial expansion 3. Pascal's triangle 4. Pascal's triangle and the Binomial Theorem 5. Binomial Theorem I 6. Binomial Theorem II

Geometry and Measurement
Score: Less than 1024
Understand dimensions of geometric shapes		Properties of triangles and quadrilaterals 1. Classify triangles 2. Triangle inequality 3. Classify quadrilaterals I Properties of polygons 4. Identify and classify polygons Distance 5. Distance between two points
Understand dimensions of geometric shapes
Properties of triangles and quadrilaterals 1. Classify triangles 2. Triangle inequality 3. Classify quadrilaterals I Properties of polygons 4. Identify and classify polygons Distance 5. Distance between two points

Identify and measure angles		1. Identify complementary, supplementary, vertical, and adjacent angles 2. Find measures of vertical and adjacent angles 3. Identify alternate interior and alternate exterior angles
Identify and measure angles
1. Identify complementary, supplementary, vertical, and adjacent angles 2. Find measures of vertical and adjacent angles 3. Identify alternate interior and alternate exterior angles

Understand symmetry and congruence transformations		1. Line symmetry 2. Identify reflections, rotations, and translations
Understand symmetry and congruence transformations
1. Line symmetry 2. Identify reflections, rotations, and translations

Solve area and perimeter problems		Polygons 1. Perimeter 2. Area of rectangles and parallelograms 3. Area of triangles and trapezoids Circles 4. Parts of a circle 5. Circumference of circles 6. Area of circles 7. Circles: word problems
Solve area and perimeter problems
Polygons 1. Perimeter 2. Area of rectangles and parallelograms 3. Area of triangles and trapezoids Circles 4. Parts of a circle 5. Circumference of circles 6. Area of circles 7. Circles: word problems

Find surface area and volume		1. Volume of cubes and prisms 2. Volume of prisms: advanced 3. Surface area of cubes and prisms
Find surface area and volume
1. Volume of cubes and prisms 2. Volume of prisms: advanced 3. Surface area of cubes and prisms

Use geometry vocabulary		1. Lines, line segments, and rays 2. Parallel, perpendicular, and intersecting lines 3. Bases of three-dimensional figures
Use geometry vocabulary
1. Lines, line segments, and rays 2. Parallel, perpendicular, and intersecting lines 3. Bases of three-dimensional figures
Score: 1024–1068
Understand dimensions and find missing measurements		Properties of polygons 1. Find missing angles in triangles 2. Classify quadrilaterals II 3. Find missing angles in quadrilaterals I 4. Interior angles of polygons Similar and congruent figures 5. Congruence statements and corresponding parts 6. Side lengths and angle measures of congruent figures Distance 7. Find the distance between two points Angle and segment relationships 8. Find lengths and measures of bisected line segments and angles Pythagorean theorem 9. Pythagorean theorem: find the length of the hypotenuse 10. Pythagorean theorem: find the missing leg length 11. Pythagorean theorem: find the missing leg or hypotenuse length
Understand dimensions and find missing measurements
Properties of polygons 1. Find missing angles in triangles 2. Classify quadrilaterals II 3. Find missing angles in quadrilaterals I 4. Interior angles of polygons Similar and congruent figures 5. Congruence statements and corresponding parts 6. Side lengths and angle measures of congruent figures Distance 7. Find the distance between two points Angle and segment relationships 8. Find lengths and measures of bisected line segments and angles Pythagorean theorem 9. Pythagorean theorem: find the length of the hypotenuse 10. Pythagorean theorem: find the missing leg length 11. Pythagorean theorem: find the missing leg or hypotenuse length

Understand angle relationships		1. Find measures of complementary, supplementary, vertical, and adjacent angles 2. Write and solve equations using angle relationships 3. Transversals of parallel lines: name angle pairs 4. Transversals of parallel lines: find angle measures
Understand angle relationships
1. Find measures of complementary, supplementary, vertical, and adjacent angles 2. Write and solve equations using angle relationships 3. Transversals of parallel lines: name angle pairs 4. Transversals of parallel lines: find angle measures

Understand symmetry and congruence transformations		Symmetry 1. Draw lines of symmetry Translations 2. Translations: graph the image 3. Translations: find the coordinates Reflections 4. Reflections: graph the image 5. Reflections: find the coordinates Rotations 6. Rotations: graph the image 7. Rotations: find the coordinates
Understand symmetry and congruence transformations
Symmetry 1. Draw lines of symmetry Translations 2. Translations: graph the image 3. Translations: find the coordinates Reflections 4. Reflections: graph the image 5. Reflections: find the coordinates Rotations 6. Rotations: graph the image 7. Rotations: find the coordinates

Solve area and perimeter problems		1. Area and perimeter: word problems 2. Area and perimeter of semicircles and quarter circles
Solve area and perimeter problems
1. Area and perimeter: word problems 2. Area and perimeter of semicircles and quarter circles

Find surface area and volume		Volume 1. Volume of cylinders 2. Volume of cones Surface area 3. Surface area of cylinders 4. Surface area of cones
Find surface area and volume
Volume 1. Volume of cylinders 2. Volume of cones Surface area 3. Surface area of cylinders 4. Surface area of cones

Use geometry vocabulary		1. Parts of three-dimensional figures 2. Nets of three-dimensional figures
Use geometry vocabulary
1. Parts of three-dimensional figures 2. Nets of three-dimensional figures
Score: 1069–1113
Find missing measurements		Properties of triangles and quadrilaterals 1. Triangle Angle-Sum Theorem 2. Exterior Angle Theorem 3. Find missing angles in quadrilaterals Properties of polygons 4. Polygon vocabulary 5. Interior angles of polygons Similar and congruent figures 6. Congruence statements and corresponding parts 7. Solve problems involving corresponding parts 8. Ratios in similar figures 9. Similarity statements 10. Identify similar figures Length, distance, and midpoint 11. Additive property of length 12. Midpoint formula: find the midpoint 13. Midpoint formula: find the endpoint 14. Distance formula Angle and segment relationships 15. Angle addition 16. Perpendicular Bisector Theorem 17. Angle bisectors Pythagorean theorem 18. Pythagorean theorem 19. Converse of the Pythagorean theorem
Find missing measurements
Properties of triangles and quadrilaterals 1. Triangle Angle-Sum Theorem 2. Exterior Angle Theorem 3. Find missing angles in quadrilaterals Properties of polygons 4. Polygon vocabulary 5. Interior angles of polygons Similar and congruent figures 6. Congruence statements and corresponding parts 7. Solve problems involving corresponding parts 8. Ratios in similar figures 9. Similarity statements 10. Identify similar figures Length, distance, and midpoint 11. Additive property of length 12. Midpoint formula: find the midpoint 13. Midpoint formula: find the endpoint 14. Distance formula Angle and segment relationships 15. Angle addition 16. Perpendicular Bisector Theorem 17. Angle bisectors Pythagorean theorem 18. Pythagorean theorem 19. Converse of the Pythagorean theorem

Understand angle relationships		1. Angle diagrams: solve for the variable 2. Transversals of parallel lines: find angle measures 3. Transversals of parallel lines: solve for x
Understand angle relationships
1. Angle diagrams: solve for the variable 2. Transversals of parallel lines: find angle measures 3. Transversals of parallel lines: solve for x

Understand symmetry and congruence transformations		Symmetry 1. Count lines of symmetry Translations 2. Translations: graph the image 3. Translations: find the coordinates Reflections 4. Reflections: graph the image 5. Reflections: find the coordinates Rotations 6. Rotations: graph the image 7. Rotations: find the coordinates
Understand symmetry and congruence transformations
Symmetry 1. Count lines of symmetry Translations 2. Translations: graph the image 3. Translations: find the coordinates Reflections 4. Reflections: graph the image 5. Reflections: find the coordinates Rotations 6. Rotations: graph the image 7. Rotations: find the coordinates

Solve area problems		1. Area of parallelograms and triangles 2. Area and perimeter in the coordinate plane I 3. Area and perimeter in the coordinate plane II
Solve area problems
1. Area of parallelograms and triangles 2. Area and perimeter in the coordinate plane I 3. Area and perimeter in the coordinate plane II

Find surface area and volume		Volume 1. Volume of prisms and cylinders 2. Volume of pyramids and cones Surface area 3. Lateral area of prisms and cylinders 4. Surface area of prisms and cylinders 5. Surface area of pyramids and cones
Find surface area and volume
Volume 1. Volume of prisms and cylinders 2. Volume of pyramids and cones Surface area 3. Lateral area of prisms and cylinders 4. Surface area of prisms and cylinders 5. Surface area of pyramids and cones

Use geometry vocabulary		Logic 1. Identify hypotheses and conclusions 2. Counterexamples 3. Conditionals 4. Negations 5. Converses, inverses, and contrapositives 6. Biconditionals Planes, lines, rays, and points 7. Lines, line segments, and rays 8. Properties of planes, lines, and points 9. Describe intersections in a plane Two- and three-dimensional figures 10. Rotational symmetry 11. Parts of three-dimensional figures 12. Three-dimensional figure vocabulary 13. Nets and drawings of three-dimensional figures 14. Cross sections of three-dimensional figures Geometric constructions 15. Construct a congruent segment 16. Construct the midpoint or perpendicular bisector of a segment 17. Construct an angle bisector 18. Construct a congruent angle 19. Construct a perpendicular line 20. Construct parallel lines
Use geometry vocabulary
Logic 1. Identify hypotheses and conclusions 2. Counterexamples 3. Conditionals 4. Negations 5. Converses, inverses, and contrapositives 6. Biconditionals Planes, lines, rays, and points 7. Lines, line segments, and rays 8. Properties of planes, lines, and points 9. Describe intersections in a plane Two- and three-dimensional figures 10. Rotational symmetry 11. Parts of three-dimensional figures 12. Three-dimensional figure vocabulary 13. Nets and drawings of three-dimensional figures 14. Cross sections of three-dimensional figures Geometric constructions 15. Construct a congruent segment 16. Construct the midpoint or perpendicular bisector of a segment 17. Construct an angle bisector 18. Construct a congruent angle 19. Construct a perpendicular line 20. Construct parallel lines
Score: 1114–1168
Understand dimensions and find missing measurements		Properties of triangles 1. Triangle Proportionality Theorem 2. Similarity and altitudes in right triangles 3. Midsegments of triangles 4. Triangles and bisectors 5. Angle-side relationships in triangles 6. Triangle Inequality Theorem 7. Find the centroid of a triangle Properties of quadrilaterals 8. Properties of parallelograms 9. Properties of rhombuses 10. Properties of squares and rectangles 11. Properties of trapezoids 12. Properties of kites Properties of polygons 13. Exterior angles of polygons 14. Interior and exterior angles of polygons: mixed practice Similar figures 15. Side lengths and angle measures in similar figures 16. Similar triangles and indirect measurement 17. Perimeters of similar figures Pythagorean theorem 18. Pythagorean Inequality Theorems Circles 19. Parts of a circle 20. Central angles and arc measures 21. Understand arc length and sector area of a circle 22. Arc length 23. Arcs and chords 24. Tangent lines Changes in scale 25. Perimeter and area: changes in scale
Understand dimensions and find missing measurements
Properties of triangles 1. Triangle Proportionality Theorem 2. Similarity and altitudes in right triangles 3. Midsegments of triangles 4. Triangles and bisectors 5. Angle-side relationships in triangles 6. Triangle Inequality Theorem 7. Find the centroid of a triangle Properties of quadrilaterals 8. Properties of parallelograms 9. Properties of rhombuses 10. Properties of squares and rectangles 11. Properties of trapezoids 12. Properties of kites Properties of polygons 13. Exterior angles of polygons 14. Interior and exterior angles of polygons: mixed practice Similar figures 15. Side lengths and angle measures in similar figures 16. Similar triangles and indirect measurement 17. Perimeters of similar figures Pythagorean theorem 18. Pythagorean Inequality Theorems Circles 19. Parts of a circle 20. Central angles and arc measures 21. Understand arc length and sector area of a circle 22. Arc length 23. Arcs and chords 24. Tangent lines Changes in scale 25. Perimeter and area: changes in scale

Find lengths and angles		Trigonometric ratios 1. Trigonometric ratios: sin, cos, and tan 2. Trigonometric ratios with radicals: sin, cos, and tan 3. Trigonometric ratios in similar right triangles Special right triangles 4. Special right triangles 5. Find trigonometric functions of special angles 6. Solve a special right triangle Inverses of trigonometric functions 7. Inverses of trigonometric functions Solve right triangles 8. Trigonometric ratios: find a side length 9. Trigonometric ratios: find an angle measure 10. Solve a right triangle 11. Checkpoint: Right triangle trigonometry Radians and degrees 12. Convert between radians and degrees
Find lengths and angles
Trigonometric ratios 1. Trigonometric ratios: sin, cos, and tan 2. Trigonometric ratios with radicals: sin, cos, and tan 3. Trigonometric ratios in similar right triangles Special right triangles 4. Special right triangles 5. Find trigonometric functions of special angles 6. Solve a special right triangle Inverses of trigonometric functions 7. Inverses of trigonometric functions Solve right triangles 8. Trigonometric ratios: find a side length 9. Trigonometric ratios: find an angle measure 10. Solve a right triangle 11. Checkpoint: Right triangle trigonometry Radians and degrees 12. Convert between radians and degrees

Understand congruence and similarity		Congruence transformations 1. Sequences of congruence transformations: graph the image 2. Sequences of congruence transformations: find the rules 3. Congruence transformations: mixed review 4. Checkpoint: Congruence transformations Congruent triangles 5. SSS, SAS, ASA, and AAS Theorems 6. Proving triangles congruent by SSS, SAS, ASA, and AAS 7. Proofs involving corresponding parts of congruent triangles 8. Congruency in isosceles and equilateral triangles 9. Proofs involving isosceles triangles 10. Hypotenuse-Leg Theorem Similar triangles 11. Angle-angle criterion for similar triangles 12. Similarity rules for triangles
Understand congruence and similarity
Congruence transformations 1. Sequences of congruence transformations: graph the image 2. Sequences of congruence transformations: find the rules 3. Congruence transformations: mixed review 4. Checkpoint: Congruence transformations Congruent triangles 5. SSS, SAS, ASA, and AAS Theorems 6. Proving triangles congruent by SSS, SAS, ASA, and AAS 7. Proofs involving corresponding parts of congruent triangles 8. Congruency in isosceles and equilateral triangles 9. Proofs involving isosceles triangles 10. Hypotenuse-Leg Theorem Similar triangles 11. Angle-angle criterion for similar triangles 12. Similarity rules for triangles

Solve area and perimeter problems		Area and perimeter 1. Area of trapezoids 2. Area of rhombuses 3. Checkpoint: Area and perimeter in the coordinate plane Area of sectors 4. Understand arc length and sector area of a circle 5. Area of sectors
Solve area and perimeter problems
Area and perimeter 1. Area of trapezoids 2. Area of rhombuses 3. Checkpoint: Area and perimeter in the coordinate plane Area of sectors 4. Understand arc length and sector area of a circle 5. Area of sectors

Find surface area and volume		1. Volume of spheres 2. Volume of compound figures 3. Checkpoint: Volume 4. Surface area of spheres
Find surface area and volume
1. Volume of spheres 2. Volume of compound figures 3. Checkpoint: Volume 4. Surface area of spheres

Use geometry vocabulary		Dilations 1. Dilations: graph the image 2. Dilations: find the coordinates 3. Dilations: find the scale factor Three-dimensional figures 4. Checkpoint: Cross sections and solids of revolution Geometric constructions 5. Construct an equilateral triangle or regular hexagon 6. Construct a square 7. Construct the circumcenter or incenter of a triangle 8. Construct the centroid or orthocenter of a triangle 9. Construct a tangent line to a circle 10. Construct an equilateral triangle inscribed in a circle 11. Construct a square inscribed in a circle 12. Construct a regular hexagon inscribed in a circle 13. Construct the inscribed or circumscribed circle of a triangle
Use geometry vocabulary
Dilations 1. Dilations: graph the image 2. Dilations: find the coordinates 3. Dilations: find the scale factor Three-dimensional figures 4. Checkpoint: Cross sections and solids of revolution Geometric constructions 5. Construct an equilateral triangle or regular hexagon 6. Construct a square 7. Construct the circumcenter or incenter of a triangle 8. Construct the centroid or orthocenter of a triangle 9. Construct a tangent line to a circle 10. Construct an equilateral triangle inscribed in a circle 11. Construct a square inscribed in a circle 12. Construct a regular hexagon inscribed in a circle 13. Construct the inscribed or circumscribed circle of a triangle
Score: 1169+
Find missing measurements		Polygons 1. Classify shapes on the coordinate plane: justify your answer 2. Perimeter of polygons with an inscribed circle Circles 3. Angles formed by chords, secants, and tangents 4. Segments formed by chords, secants, and tangents
Find missing measurements
Polygons 1. Classify shapes on the coordinate plane: justify your answer 2. Perimeter of polygons with an inscribed circle Circles 3. Angles formed by chords, secants, and tangents 4. Segments formed by chords, secants, and tangents

Find geometric quantities		Trigonometric ratios 1. Trigonometric ratios: csc, sec, and cot Law of Sines and Cosines 2. Law of Sines 3. Law of Cosines 4. Solve a triangle 5. Area of a triangle: sine formula 6. Area of a triangle: Law of Sines 7. Checkpoint: Laws of Sines and Cosines Radians and arc length 8. Radians and arc length
Find geometric quantities
Trigonometric ratios 1. Trigonometric ratios: csc, sec, and cot Law of Sines and Cosines 2. Law of Sines 3. Law of Cosines 4. Solve a triangle 5. Area of a triangle: sine formula 6. Area of a triangle: Law of Sines 7. Checkpoint: Laws of Sines and Cosines Radians and arc length 8. Radians and arc length

Data Analysis, Statistics, and Probability
Score: Less than 1024
Create and interpret charts and graphs		1. Interpret charts and graphs to find mean, median, mode, and range 2. Compare populations using line plots
Create and interpret charts and graphs
1. Interpret charts and graphs to find mean, median, mode, and range 2. Compare populations using line plots

Solve for probability		1. Probability of simple events 2. Probability of simple events and opposite events 3. Experimental probability
Solve for probability
1. Probability of simple events 2. Probability of simple events and opposite events 3. Experimental probability
Score: 1024–1068
Create and interpret scatter plots		1. Interpret scatter plots 2. Create scatter plots 3. Identify trends with scatter plots 4. Make predictions with scatter plots
Create and interpret scatter plots
1. Interpret scatter plots 2. Create scatter plots 3. Identify trends with scatter plots 4. Make predictions with scatter plots

Solve for probability		1. Find probabilities using two-way frequency tables 2. Identify independent and dependent events 3. Probability of independent and dependent events
Solve for probability
1. Find probabilities using two-way frequency tables 2. Identify independent and dependent events 3. Probability of independent and dependent events
Score: 1069–1113
Create and interpret tables and graphs		1. Outliers in scatter plots 2. Match correlation coefficients to scatter plots 3. Calculate correlation coefficients 4. Write equations for lines of best fit 5. Interpret lines of best fit: word problems
Create and interpret tables and graphs
1. Outliers in scatter plots 2. Match correlation coefficients to scatter plots 3. Calculate correlation coefficients 4. Write equations for lines of best fit 5. Interpret lines of best fit: word problems

Solve for probability		1. Probability of independent and dependent events 2. Identify independent events
Solve for probability
1. Probability of independent and dependent events 2. Identify independent events
Score: 1114–1168
Find and interpret regression lines		1. Find the equation of a regression line 2. Interpret regression lines
Find and interpret regression lines
1. Find the equation of a regression line 2. Interpret regression lines

Solve for probability		1. Find conditional probabilities 2. Independence and conditional probability 3. Find conditional probabilities using two-way frequency tables
Solve for probability
1. Find conditional probabilities 2. Independence and conditional probability 3. Find conditional probabilities using two-way frequency tables
Score: 1169+
Analyze regression lines		1. Analyze a regression line of a data set
Analyze regression lines
1. Analyze a regression line of a data set

Solve for probability		1. Checkpoint: Understand independence and conditional probability
Solve for probability
1. Checkpoint: Understand independence and conditional probability

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