IXL skill plan | aMath Algebra 1 plan for the FastBridge

Skill plan for the FastBridge - aMath Algebra 1

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

Domain

Statistics and Probability
The Number System
Ratios and Proportions
Expressions and Equations
Functions
Geometry

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Statistics and Probability
Score: Less than 208
Understand samples and populations		1. Identify representative, random, and biased samples
Understand samples and populations
1. Identify representative, random, and biased samples

Use measures of center and variability		1. Compare populations using measures of center and spread
Use measures of center and variability
1. Compare populations using measures of center and spread

Find and use probabilities		Simple events 1. Probability of simple events 2. Probability of simple events and opposite events 3. Experimental probability Make predictions 4. Make predictions using theoretical probability 5. Make predictions using experimental probability 6. Use collected data to find probabilities and make predictions Compound events 7. Probability of compound events 8. Identify independent and dependent events
Find and use probabilities
Simple events 1. Probability of simple events 2. Probability of simple events and opposite events 3. Experimental probability Make predictions 4. Make predictions using theoretical probability 5. Make predictions using experimental probability 6. Use collected data to find probabilities and make predictions Compound events 7. Probability of compound events 8. Identify independent and dependent events
Score: 208–212
Represent bivariate data		Scatter plots 1. Interpret scatter plots 2. Create scatter plots 3. Identify trends with scatter plots 4. Make predictions with scatter plots 5. Outliers in scatter plots Lines of best fit 6. Identify lines of best fit 7. Write equations for lines of best fit 8. Interpret lines of best fit: word problems
Represent bivariate data
Scatter plots 1. Interpret scatter plots 2. Create scatter plots 3. Identify trends with scatter plots 4. Make predictions with scatter plots 5. Outliers in scatter plots Lines of best fit 6. Identify lines of best fit 7. Write equations for lines of best fit 8. Interpret lines of best fit: word problems

Find and use probabilities		1. Find probabilities using two-way frequency tables
Find and use probabilities
1. Find probabilities using two-way frequency tables
Score: 213–224
Display numerical data		1. Interpret line plots 2. Create line plots 3. Interpret histograms 4. Create histograms 5. Box plots
Display numerical data
1. Interpret line plots 2. Create line plots 3. Interpret histograms 4. Create histograms 5. Box plots

Use measures of center and variability		1. Variance and standard deviation 2. Choose appropriate measures of center and variation
Use measures of center and variability
1. Variance and standard deviation 2. Choose appropriate measures of center and variation

Represent bivariate data		Scatter plots 1. Interpret a scatter plot 2. Outliers in scatter plots 3. Match correlation coefficients to scatter plots 4. Calculate correlation coefficients Lines of best fit 5. Write equations for lines of best fit 6. Interpret lines of best fit: word problems Correlation and causation 7. Correlation and causation
Represent bivariate data
Scatter plots 1. Interpret a scatter plot 2. Outliers in scatter plots 3. Match correlation coefficients to scatter plots 4. Calculate correlation coefficients Lines of best fit 5. Write equations for lines of best fit 6. Interpret lines of best fit: word problems Correlation and causation 7. Correlation and causation

Find and use probabilities		1. Find probabilities using two-way frequency tables
Find and use probabilities
1. Find probabilities using two-way frequency tables
Score: 225–242
Represent bivariate data		1. Find the equation of a regression line 2. Interpret regression lines 3. Analyze a regression line of a data set
Represent bivariate data
1. Find the equation of a regression line 2. Interpret regression lines 3. Analyze a regression line of a data set

Find and use probabilities		1. Find conditional probabilities using two-way frequency tables
Find and use probabilities
1. Find conditional probabilities using two-way frequency tables
Score: 243+
Find and use probabilities		1. Find probabilities using two-way frequency tables 2. Probability of independent and dependent events 3. Find conditional probabilities
Find and use probabilities
1. Find probabilities using two-way frequency tables 2. Probability of independent and dependent events 3. Find conditional probabilities

Understand samples and populations		1. Identify biased samples 2. Experiment design 3. Analyze the results of an experiment using simulations
Understand samples and populations
1. Identify biased samples 2. Experiment design 3. Analyze the results of an experiment using simulations

The Number System
Score: Less than 208
Perform operations with integers		Addition and subtraction 1. Integer addition and subtraction rules 2. Add and subtract integers Multiplication and division 3. Integer multiplication and division rules 4. Multiply and divide integers Addition, subtraction, multiplication, and division 5. Add, subtract, multiply, and divide integers
Perform operations with integers
Addition and subtraction 1. Integer addition and subtraction rules 2. Add and subtract integers Multiplication and division 3. Integer multiplication and division rules 4. Multiply and divide integers Addition, subtraction, multiplication, and division 5. Add, subtract, multiply, and divide integers

Perform operations with rational numbers		1. Convert fractions or mixed numbers to decimals 2. Classify rational numbers 3. Add and subtract rational numbers 4. Multiply and divide rational numbers
Perform operations with rational numbers
1. Convert fractions or mixed numbers to decimals 2. Classify rational numbers 3. Add and subtract rational numbers 4. Multiply and divide rational numbers
Score: 208–212
Identify rational and irrational numbers		1. Identify rational and irrational numbers 2. Convert between repeating decimals and fractions 3. Convert between decimals and fractions or mixed numbers
Identify rational and irrational numbers
1. Identify rational and irrational numbers 2. Convert between repeating decimals and fractions 3. Convert between decimals and fractions or mixed numbers

Approximate irrational numbers		1. Estimate positive square roots 2. Estimate positive and negative square roots 3. Estimate cube roots
Approximate irrational numbers
1. Estimate positive square roots 2. Estimate positive and negative square roots 3. Estimate cube roots
Score: 213–224
Identify rational and irrational numbers		1. Sort rational and irrational numbers 2. Classify rational and irrational numbers
Identify rational and irrational numbers
1. Sort rational and irrational numbers 2. Classify rational and irrational numbers
Score: 225–242
Identify rational and irrational numbers		1. Properties of operations on rational and irrational numbers
Identify rational and irrational numbers
1. Properties of operations on rational and irrational numbers
Score: 243+
Use complex numbers		1. Introduction to complex numbers 2. Add and subtract complex numbers 3. Complex conjugates 4. Multiply complex numbers 5. Divide complex numbers 6. Powers of i
Use complex numbers
1. Introduction to complex numbers 2. Add and subtract complex numbers 3. Complex conjugates 4. Multiply complex numbers 5. Divide complex numbers 6. Powers of i

Ratios and Proportions
Score: Less than 208
Compute unit rates		1. Unit prices 2. Calculate unit rates with fractions 3. Unit prices with unit conversions
Compute unit rates
1. Unit prices 2. Calculate unit rates with fractions 3. Unit prices with unit conversions

Solve percent problems		Percent of change 1. Percent of change 2. Percent of change: word problems Percent error 3. Percent error: word problems Consumer math 4. Percent of a number: tax, discount, and more 5. Which is the better coupon? 6. Find the percent: tax, discount, and more 7. Multi-step problems with percents 8. Simple interest
Solve percent problems
Percent of change 1. Percent of change 2. Percent of change: word problems Percent error 3. Percent error: word problems Consumer math 4. Percent of a number: tax, discount, and more 5. Which is the better coupon? 6. Find the percent: tax, discount, and more 7. Multi-step problems with percents 8. Simple interest

Represent proportional relationships		Identify proportional relationships 1. Identify proportional relationships by graphing 2. Identify proportional relationships from graphs and equations 3. Identify proportional relationships from tables Write and solve equations 4. Write equations for proportional relationships from tables 5. Write equations for proportional relationships from graphs 6. Write and solve equations for proportional relationships Interpret proportional relationships 7. Interpret graphs of proportional relationships
Represent proportional relationships
Identify proportional relationships 1. Identify proportional relationships by graphing 2. Identify proportional relationships from graphs and equations 3. Identify proportional relationships from tables Write and solve equations 4. Write equations for proportional relationships from tables 5. Write equations for proportional relationships from graphs 6. Write and solve equations for proportional relationships Interpret proportional relationships 7. Interpret graphs of proportional relationships
Score: 208–212
Represent and compare proportional relationships		1. Identify proportional relationships: word problems 2. Graph proportional relationships and find the slope 3. Compare proportional relationships represented in different ways
Represent and compare proportional relationships
1. Identify proportional relationships: word problems 2. Graph proportional relationships and find the slope 3. Compare proportional relationships represented in different ways
Score: 213–224
Solve problems using proportions		1. Rate of travel: word problems 2. Weighted averages: word problems 3. Multi-step problems with unit conversions
Solve problems using proportions
1. Rate of travel: word problems 2. Weighted averages: word problems 3. Multi-step problems with unit conversions
Score: 225–242
Solve problems using proportions		1. Checkpoint: Units and quantities
Solve problems using proportions
1. Checkpoint: Units and quantities
Score: 243+
Solve problems using proportions		Changes in scale 1. Perimeter and area: changes in scale 2. Surface area and volume: changes in scale Unit conversions 3. Convert rates and measurements: customary units 4. Convert rates and measurements: metric units
Solve problems using proportions
Changes in scale 1. Perimeter and area: changes in scale 2. Surface area and volume: changes in scale Unit conversions 3. Convert rates and measurements: customary units 4. Convert rates and measurements: metric units

Expressions and Equations
Score: Less than 208
Apply properties of operations		Write equivalent expressions 1. Multiply using the distributive property 2. Factors of linear expressions 3. Add and subtract linear expressions 4. Simplify expressions by combining like terms 5. Write equivalent expressions using properties Identify equivalent expressions 6. Identify equivalent linear expressions I 7. Identify equivalent linear expressions: word problems
Apply properties of operations
Write equivalent expressions 1. Multiply using the distributive property 2. Factors of linear expressions 3. Add and subtract linear expressions 4. Simplify expressions by combining like terms 5. Write equivalent expressions using properties Identify equivalent expressions 6. Identify equivalent linear expressions I 7. Identify equivalent linear expressions: word problems

Evaluate expressions		1. Evaluate linear expressions 2. Evaluate multi-variable expressions 3. Evaluate numerical expressions involving integers 4. Evaluate numerical expressions involving exponents
Evaluate expressions
1. Evaluate linear expressions 2. Evaluate multi-variable expressions 3. Evaluate numerical expressions involving integers 4. Evaluate numerical expressions involving exponents

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
Score: 208–212
Write and evaluate expressions with exponents		Negative or zero exponents 1. Understanding negative exponents 2. Evaluate powers with negative or zero exponents Properties of 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
Write and evaluate expressions with exponents
Negative or zero exponents 1. Understanding negative exponents 2. Evaluate powers with negative or zero exponents Properties of 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

Use square and cube roots		Square roots 1. Square roots of perfect squares 2. Positive and negative square roots Cube roots 3. Cube roots of positive perfect cubes 4. Cube roots of positive and negative perfect cubes Solve equations 5. Solve equations using square roots 6. Solve equations using cube roots
Use square and cube roots
Square roots 1. Square roots of perfect squares 2. Positive and negative square roots Cube roots 3. Cube roots of positive perfect cubes 4. Cube roots of positive and negative perfect cubes Solve equations 5. Solve equations using square roots 6. Solve equations using cube roots

Solve linear equations		Solve 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 7. Solve equations: mixed review Word problems 8. Solve equations with variables on both sides: word problems Justify the solution 9. Solve multi-step equations: complete the solution
Solve linear equations
Solve 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 7. Solve equations: mixed review Word problems 8. Solve equations with variables on both sides: word problems Justify the solution 9. Solve multi-step equations: complete the solution

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

Represent linear functions		Solutions of linear equations 1. Is (x, y) a solution to the linear equation? Graphs of linear equations 2. Relate the graph of an equation to its solutions 3. Graph a line from an equation in slope-intercept form Write linear equations 4. Write a linear equation from a slope and y-intercept 5. Write a linear equation from a graph 6. Write a linear equation from a slope and a point 7. Write a linear equation from two points Evaluate linear functions 8. Evaluate a linear function 9. Complete a table for a linear function 10. Complete a table and graph a linear function
Represent linear functions
Solutions of linear equations 1. Is (x, y) a solution to the linear equation? Graphs of linear equations 2. Relate the graph of an equation to its solutions 3. Graph a line from an equation in slope-intercept form Write linear equations 4. Write a linear equation from a slope and y-intercept 5. Write a linear equation from a graph 6. Write a linear equation from a slope and a point 7. Write a linear equation from two points Evaluate linear functions 8. Evaluate a linear function 9. Complete a table for a linear function 10. Complete a table and graph a linear function

Solve systems of linear equations		Solutions of systems of equations 1. Is (x, y) a solution to the system of equations? Solve systems by graphing 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 Solve systems algebraically 5. Solve a system of equations using substitution 6. Solve a system of equations using elimination
Solve systems of linear equations
Solutions of systems of equations 1. Is (x, y) a solution to the system of equations? Solve systems by graphing 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 Solve systems algebraically 5. Solve a system of equations using substitution 6. Solve a system of equations using elimination
Score: 213–224
Use square and cube roots		1. Square roots 2. Cube roots
Use square and cube roots
1. Square roots 2. Cube roots

Solve linear equations and inequalities		Linear equations 1. Solve linear equations with variables on both sides 2. Solve linear equations: complete the solution 3. Solve linear equations: mixed review 4. Solve linear equations with variables on both sides: word problems Multi-variable equations 5. Rearrange multi-variable equations Linear inequalities 6. Solve advanced linear inequalities 7. Graph solutions to advanced linear inequalities Compound inequalities 8. Graph compound inequalities 9. Write compound inequalities from graphs Linear equations and inequalities 10. Checkpoint: Solve linear equations and inequalities
Solve linear equations and inequalities
Linear equations 1. Solve linear equations with variables on both sides 2. Solve linear equations: complete the solution 3. Solve linear equations: mixed review 4. Solve linear equations with variables on both sides: word problems Multi-variable equations 5. Rearrange multi-variable equations Linear inequalities 6. Solve advanced linear inequalities 7. Graph solutions to advanced linear inequalities Compound inequalities 8. Graph compound inequalities 9. Write compound inequalities from graphs Linear equations and inequalities 10. Checkpoint: Solve linear equations and inequalities

Solve absolute value equations and inequalities		Equations 1. Solve absolute value equations 2. Graph solutions to absolute value equations 3. Write absolute value equations from graphs Inequalities 4. Solve absolute value inequalities 5. Graph solutions to absolute value inequalities
Solve absolute value equations and inequalities
Equations 1. Solve absolute value equations 2. Graph solutions to absolute value equations 3. Write absolute value equations from graphs Inequalities 4. Solve absolute value inequalities 5. Graph solutions to absolute value inequalities

Represent linear functions		Solutions of a linear equation 1. Relate the graph of a linear equation to its solutions Slope-intercept form 2. Slope-intercept form: graph an equation 3. Slope-intercept form: write an equation from a graph 4. Slope-intercept form: write an equation Standard form 5. Write linear equations in standard form 6. Standard form: graph a line from an equation Horizontal and vertical lines 7. Equations of horizontal and vertical lines 8. Graph a horizontal or vertical line Point-slope form 9. Point-slope form: graph an equation 10. Point-slope form: write an equation
Represent linear functions
Solutions of a linear equation 1. Relate the graph of a linear equation to its solutions Slope-intercept form 2. Slope-intercept form: graph an equation 3. Slope-intercept form: write an equation from a graph 4. Slope-intercept form: write an equation Standard form 5. Write linear equations in standard form 6. Standard form: graph a line from an equation Horizontal and vertical lines 7. Equations of horizontal and vertical lines 8. Graph a horizontal or vertical line Point-slope form 9. Point-slope form: graph an equation 10. Point-slope form: write an equation

Solve systems of linear equations		Solve by graphing 1. Solve a system of equations by graphing 2. Solve a system of equations by graphing: word problems Solve using substitution 3. Solve a system of equations using substitution 4. Solve a system of equations using substitution: word problems Solve using elimination 5. Solve a system of equations using elimination 6. Solve a system of equations using elimination: word problems Solve using any method 7. Solve a system of equations using any method 8. Solve a system of equations using any method: word problems
Solve systems of linear equations
Solve by graphing 1. Solve a system of equations by graphing 2. Solve a system of equations by graphing: word problems Solve using substitution 3. Solve a system of equations using substitution 4. Solve a system of equations using substitution: word problems Solve using elimination 5. Solve a system of equations using elimination 6. Solve a system of equations using elimination: word problems Solve using any method 7. Solve a system of equations using any method 8. Solve a system of equations using any method: word problems
Score: 225–242
Solve equations using graphs and tables		1. Find solutions using a table 2. Approximate solutions using a table 3. Checkpoint: Solve equations using graphs and tables
Solve equations using graphs and tables
1. Find solutions using a table 2. Approximate solutions using a table 3. Checkpoint: Solve equations using graphs and tables

Solve linear equations and inequalities		Linear inequalities 1. Does (x, y) satisfy the inequality? 2. Graph a two-variable linear inequality 3. Write a linear inequality from a graph 4. Write two-variable inequalities: word problems Linear equations and inequalities 5. Checkpoint: Modeling with linear equations and inequalities
Solve linear equations and inequalities
Linear inequalities 1. Does (x, y) satisfy the inequality? 2. Graph a two-variable linear inequality 3. Write a linear inequality from a graph 4. Write two-variable inequalities: word problems Linear equations and inequalities 5. Checkpoint: Modeling with linear equations and inequalities

Solve systems of linear equations and inequalities		1. Is (x, y) a solution to the system of linear inequalities? 2. Solve systems of linear inequalities by graphing 3. Checkpoint: Systems of equations and inequalities
Solve systems of linear equations and inequalities
1. Is (x, y) a solution to the system of linear inequalities? 2. Solve systems of linear inequalities by graphing 3. Checkpoint: Systems of equations and inequalities

Represent piecewise-defined functions		1. Evaluate piecewise-defined functions 2. Graph piecewise-defined functions
Represent piecewise-defined functions
1. Evaluate piecewise-defined functions 2. Graph piecewise-defined functions

Simplify expressions involving rational exponents		1. Evaluate integers raised to positive rational exponents 2. Evaluate integers raised to rational exponents 3. Multiplication with rational exponents 4. Division with rational exponents 5. Power rule with rational exponents 6. Simplify expressions involving rational exponents
Simplify expressions involving rational exponents
1. Evaluate integers raised to positive rational exponents 2. Evaluate integers raised to rational exponents 3. Multiplication with rational exponents 4. Division with rational exponents 5. Power rule with rational exponents 6. Simplify expressions involving rational exponents

Understand sequences		Classify sequences 1. Identify arithmetic and geometric sequences 2. Identify a sequence as explicit or recursive Evaluate sequences 3. Evaluate variable expressions for number sequences 4. Evaluate recursive formulas for sequences Write formulas for sequences 5. Write variable expressions for arithmetic sequences 6. Write variable expressions for geometric sequences 7. Write a formula for a recursive sequence Convert between recursive and explicit formulas 8. Convert a recursive formula to an explicit formula 9. Convert an explicit formula to a recursive formula Mixed review 10. Checkpoint: Sequences
Understand sequences
Classify sequences 1. Identify arithmetic and geometric sequences 2. Identify a sequence as explicit or recursive Evaluate sequences 3. Evaluate variable expressions for number sequences 4. Evaluate recursive formulas for sequences Write formulas for sequences 5. Write variable expressions for arithmetic sequences 6. Write variable expressions for geometric sequences 7. Write a formula for a recursive sequence Convert between recursive and explicit formulas 8. Convert a recursive formula to an explicit formula 9. Convert an explicit formula to a recursive formula Mixed review 10. Checkpoint: Sequences

Represent exponential functions		Evaluate exponential functions 1. Evaluate an exponential function Graph exponential functions 2. Graph exponential functions 3. Match exponential functions and graphs I 4. Match exponential functions and graphs II
Represent exponential functions
Evaluate exponential functions 1. Evaluate an exponential function Graph exponential functions 2. Graph exponential functions 3. Match exponential functions and graphs I 4. Match exponential functions and graphs II

Add, subtract, factor, and expand polynomial expressions		Polynomial vocabulary 1. Polynomial vocabulary Add and subtract polynomials 2. Add and subtract polynomials using algebra tiles 3. Add and subtract polynomials 4. Add polynomials to find perimeter Multiply polynomials 5. Multiply a polynomial by a monomial 6. Multiply two binomials using algebra tiles 7. Multiply two binomials 8. Multiply two binomials: special cases 9. Multiply polynomials using area models 10. Multiply polynomials 11. Multiply polynomials to find area Factor polynomials 12. GCF of monomials 13. Factor out a monomial 14. Factor quadratics using algebra tiles 15. Factor quadratics with leading coefficient 1 16. Factor quadratics with other leading coefficients 17. Factor quadratics: special cases 18. Factor by grouping 19. Factor using a quadratic pattern 20. Factor polynomials Mixed operations 21. Checkpoint: Polynomial operations
Add, subtract, factor, and expand polynomial expressions
Polynomial vocabulary 1. Polynomial vocabulary Add and subtract polynomials 2. Add and subtract polynomials using algebra tiles 3. Add and subtract polynomials 4. Add polynomials to find perimeter Multiply polynomials 5. Multiply a polynomial by a monomial 6. Multiply two binomials using algebra tiles 7. Multiply two binomials 8. Multiply two binomials: special cases 9. Multiply polynomials using area models 10. Multiply polynomials 11. Multiply polynomials to find area Factor polynomials 12. GCF of monomials 13. Factor out a monomial 14. Factor quadratics using algebra tiles 15. Factor quadratics with leading coefficient 1 16. Factor quadratics with other leading coefficients 17. Factor quadratics: special cases 18. Factor by grouping 19. Factor using a quadratic pattern 20. Factor polynomials Mixed operations 21. Checkpoint: Polynomial operations

Represent quadratic functions		Evaluate quadratic functions 1. Complete a function table: quadratic functions Write and graph quadratic functions 2. Graph quadratic functions in vertex form 3. Write a quadratic function in vertex form 4. Graph quadratic functions in standard form 5. Match quadratic functions and graphs 6. Write a quadratic function in vertex form from its vertex and another point 7. Write a quadratic function in factored form from its x-intercepts and another point
Represent quadratic functions
Evaluate quadratic functions 1. Complete a function table: quadratic functions Write and graph quadratic functions 2. Graph quadratic functions in vertex form 3. Write a quadratic function in vertex form 4. Graph quadratic functions in standard form 5. Match quadratic functions and graphs 6. Write a quadratic function in vertex form from its vertex and another point 7. Write a quadratic function in factored form from its x-intercepts and another point

Solve quadratic equations		Solve by taking square roots 1. Solve a quadratic equation using square roots Solve by factoring 2. Solve a quadratic equation using the zero product property 3. Solve a quadratic equation by factoring Solve by completing the square 4. Complete the square 5. Solve a quadratic equation by completing the square Solve using the quadratic formula 6. Solve a quadratic equation using the quadratic formula 7. Using the discriminant Word problems 8. Solve quadratic equations: word problems Systems of linear and quadratic equations 9. Solve a system of linear and quadratic equations by graphing 10. Solve a system of linear and quadratic equations Mixed strategies 11. Checkpoint: Quadratic equations
Solve quadratic equations
Solve by taking square roots 1. Solve a quadratic equation using square roots Solve by factoring 2. Solve a quadratic equation using the zero product property 3. Solve a quadratic equation by factoring Solve by completing the square 4. Complete the square 5. Solve a quadratic equation by completing the square Solve using the quadratic formula 6. Solve a quadratic equation using the quadratic formula 7. Using the discriminant Word problems 8. Solve quadratic equations: word problems Systems of linear and quadratic equations 9. Solve a system of linear and quadratic equations by graphing 10. Solve a system of linear and quadratic equations Mixed strategies 11. Checkpoint: Quadratic equations

Represent absolute value functions		1. Complete a function table: absolute value functions 2. Graph an absolute value function
Represent absolute value functions
1. Complete a function table: absolute value functions 2. Graph an absolute value function

Simplify radical expressions		Radical expressions 1. Simplify radical expressions 2. Simplify radical expressions with variables 3. Simplify radical expressions involving fractions 4. Multiply radical expressions 5. Add and subtract radical expressions Radicals and rational exponents 6. Checkpoint: Radicals and rational exponents
Simplify radical expressions
Radical expressions 1. Simplify radical expressions 2. Simplify radical expressions with variables 3. Simplify radical expressions involving fractions 4. Multiply radical expressions 5. Add and subtract radical expressions Radicals and rational exponents 6. Checkpoint: Radicals and rational exponents

Solve radical equations		1. Solve radical equations I 2. Solve radical equations II
Solve radical equations
1. Solve radical equations I 2. Solve radical equations II

Represent square root functions		1. Evaluate square root functions 2. Graph square root functions
Represent square root functions
1. Evaluate square root functions 2. Graph square root functions
Score: 243+
Solve systems of equations in three variables		1. Solve a system of equations in three variables using substitution 2. Solve a system of equations in three variables using elimination
Solve systems of equations in three variables
1. Solve a system of equations in three variables using substitution 2. Solve a system of equations in three variables using elimination

Simplify polynomial expressions		Division 1. Divide polynomials using long division 2. Divide polynomials using synthetic division Binomial expansion 3. Pascal's triangle 4. Pascal's triangle and the Binomial Theorem 5. Binomial Theorem I 6. Binomial Theorem II
Simplify polynomial expressions
Division 1. Divide polynomials using long division 2. Divide polynomials using synthetic division Binomial expansion 3. Pascal's triangle 4. Pascal's triangle and the Binomial Theorem 5. Binomial Theorem I 6. Binomial Theorem II

Represent polynomial functions		1. Write a polynomial from its roots 2. Match polynomials and graphs
Represent polynomial functions
1. Write a polynomial from its roots 2. Match polynomials and graphs

Simplify radical expressions		1. Simplify radical expressions with variables I 2. Simplify radical expressions with variables II 3. Nth roots 4. Multiply radical expressions 5. Simplify radical expressions involving fractions 6. Add and subtract radical expressions 7. Simplify radical expressions using the distributive property 8. Simplify radical expressions using conjugates
Simplify radical expressions
1. Simplify radical expressions with variables I 2. Simplify radical expressions with variables II 3. Nth roots 4. Multiply radical expressions 5. Simplify radical expressions involving fractions 6. Add and subtract radical expressions 7. Simplify radical expressions using the distributive property 8. Simplify radical expressions using conjugates

Simplify rational expressions		1. Simplify rational expressions 2. Multiply and divide rational expressions 3. Add and subtract rational expressions
Simplify rational expressions
1. Simplify rational expressions 2. Multiply and divide rational expressions 3. Add and subtract rational expressions

Evaluate logarithms		Convert between exponential and logarithmic form 1. Convert between exponential and logarithmic form: rational bases Evaluate logarithms 2. Evaluate logarithms Properties of logarithms 3. Identify properties of logarithms 4. Product property of logarithms 5. Quotient property of logarithms 6. Power property of logarithms 7. Properties of logarithms: mixed review 8. Evaluate logarithms using properties
Evaluate logarithms
Convert between exponential and logarithmic form 1. Convert between exponential and logarithmic form: rational bases Evaluate logarithms 2. Evaluate logarithms Properties of logarithms 3. Identify properties of logarithms 4. Product property of logarithms 5. Quotient property of logarithms 6. Power property of logarithms 7. Properties of logarithms: mixed review 8. Evaluate logarithms using properties

Solve equations		Quadratic equations 1. Solve a quadratic equation using square roots 2. Using the discriminant Polynomial equations 3. Solve polynomial equations Rational equations 4. Solve rational equations Exponential equations 5. Solve exponential equations using common logarithms
Solve equations
Quadratic equations 1. Solve a quadratic equation using square roots 2. Using the discriminant Polynomial equations 3. Solve polynomial equations Rational equations 4. Solve rational equations Exponential equations 5. Solve exponential equations using common logarithms

Functions
Score: Less than 208
Describe features of linear functions		1. Find the slope from a graph 2. Constant rate of change: graphs
Describe features of linear functions
1. Find the slope from a graph 2. Constant rate of change: graphs

Represent linear functions		Proportional relationships 1. Write equations for proportional relationships from tables 2. Write equations for proportional relationships from graphs 3. Complete a table and graph a proportional relationship Linear relationships 4. Graph a two-variable equation 5. Write an equation from a graph using a table 6. Write a linear equation from a graph
Represent linear functions
Proportional relationships 1. Write equations for proportional relationships from tables 2. Write equations for proportional relationships from graphs 3. Complete a table and graph a proportional relationship Linear relationships 4. Graph a two-variable equation 5. Write an equation from a graph using a table 6. Write a linear equation from a graph
Score: 208–212
Understand function concepts		1. Identify functions 2. Identify functions: graphs 3. Find values using function graphs 4. Complete a table for a function graph
Understand function concepts
1. Identify functions 2. Identify functions: graphs 3. Find values using function graphs 4. Complete a table for a function graph

Describe features of linear functions		Slope and y-intercept 1. Find the slope from a graph 2. Find the slope from two points 3. Find the slope from a table 4. Rate of change of a linear function: graphs 5. Interpret the slope and y-intercept of a linear function Graph a line 6. Graph a line using slope
Describe features of linear functions
Slope and y-intercept 1. Find the slope from a graph 2. Find the slope from two points 3. Find the slope from a table 4. Rate of change of a linear function: graphs 5. Interpret the slope and y-intercept of a linear function Graph a line 6. Graph a line using slope

Represent linear functions		Graphs 1. Graph a line from an equation in slope-intercept form 2. Interpret points on the graph of a linear function Equations 3. Write a linear equation from a slope and y-intercept 4. Write a linear equation from a graph 5. Write a linear equation from a slope and a point 6. Write a linear equation from two points 7. Write linear functions: word problems
Represent linear functions
Graphs 1. Graph a line from an equation in slope-intercept form 2. Interpret points on the graph of a linear function Equations 3. Write a linear equation from a slope and y-intercept 4. Write a linear equation from a graph 5. Write a linear equation from a slope and a point 6. Write a linear equation from two points 7. Write linear functions: word problems
Score: 213–224
Understand function concepts		Identify functions 1. Identify functions 2. Identify functions: vertical line test Evaluate functions 3. Find values using function graphs 4. Evaluate a function 5. Complete a function table from a graph 6. Complete a function table from an equation Rate of change 7. Interpret functions using everyday language 8. Identify graphs: word problems 9. Rate of change: tables 10. Rate of change: graphs
Understand function concepts
Identify functions 1. Identify functions 2. Identify functions: vertical line test Evaluate functions 3. Find values using function graphs 4. Evaluate a function 5. Complete a function table from a graph 6. Complete a function table from an equation Rate of change 7. Interpret functions using everyday language 8. Identify graphs: word problems 9. Rate of change: tables 10. Rate of change: graphs

Represent linear functions		Slope-intercept form 1. Slope-intercept form: graph an equation 2. Slope-intercept form: write an equation from a graph 3. Slope-intercept form: write an equation 4. Write a linear function: word problems Standard form 5. Write linear equations in standard form 6. Standard form: graph a line from an equation Horizontal and vertical lines 7. Equations of horizontal and vertical lines 8. Graph a horizontal or vertical line Point-slope form 9. Point-slope form: graph an equation 10. Point-slope form: write an equation
Represent linear functions
Slope-intercept form 1. Slope-intercept form: graph an equation 2. Slope-intercept form: write an equation from a graph 3. Slope-intercept form: write an equation 4. Write a linear function: word problems Standard form 5. Write linear equations in standard form 6. Standard form: graph a line from an equation Horizontal and vertical lines 7. Equations of horizontal and vertical lines 8. Graph a horizontal or vertical line Point-slope form 9. Point-slope form: graph an equation 10. Point-slope form: write an equation

Describe and compare linear functions		Features of linear functions 1. Standard form: find x- and y-intercepts 2. Interpret the slope and y-intercept of a linear function 3. Domain and range of linear functions: word problems Compare linear functions 4. Compare linear functions: graphs and equations 5. Compare linear functions: tables, graphs, and equations
Describe and compare linear functions
Features of linear functions 1. Standard form: find x- and y-intercepts 2. Interpret the slope and y-intercept of a linear function 3. Domain and range of linear functions: word problems Compare linear functions 4. Compare linear functions: graphs and equations 5. Compare linear functions: tables, graphs, and equations
Score: 225–242
Represent functions		Piecewise-defined functions 1. Evaluate piecewise-defined functions 2. Graph piecewise-defined functions Exponential functions 3. Graph exponential functions 4. Match exponential functions and graphs I 5. Match exponential functions and graphs II 6. Write exponential functions: word problems Quadratic functions 7. Complete a function table: quadratic functions 8. Graph quadratic functions in vertex form 9. Write a quadratic function in vertex form 10. Graph quadratic functions in standard form 11. Match quadratic functions and graphs 12. Write a quadratic function in vertex form from its vertex and another point 13. Write a quadratic function in factored form from its x-intercepts and another point Linear, quadratic, and exponential functions 14. Write linear and exponential functions from tables 15. Write linear and exponential functions: word problems 16. Write linear, quadratic, and exponential functions from tables Absolute value functions 17. Complete a function table: absolute value functions 18. Graph an absolute value function Square root functions 19. Evaluate square root functions 20. Graph square root functions
Represent functions
Piecewise-defined functions 1. Evaluate piecewise-defined functions 2. Graph piecewise-defined functions Exponential functions 3. Graph exponential functions 4. Match exponential functions and graphs I 5. Match exponential functions and graphs II 6. Write exponential functions: word problems Quadratic functions 7. Complete a function table: quadratic functions 8. Graph quadratic functions in vertex form 9. Write a quadratic function in vertex form 10. Graph quadratic functions in standard form 11. Match quadratic functions and graphs 12. Write a quadratic function in vertex form from its vertex and another point 13. Write a quadratic function in factored form from its x-intercepts and another point Linear, quadratic, and exponential functions 14. Write linear and exponential functions from tables 15. Write linear and exponential functions: word problems 16. Write linear, quadratic, and exponential functions from tables Absolute value functions 17. Complete a function table: absolute value functions 18. Graph an absolute value function Square root functions 19. Evaluate square root functions 20. Graph square root functions

Describe and compare functions		Exponential functions 1. Domain and range of exponential functions: graphs 2. Domain and range of exponential functions: equations Quadratic functions 3. Characteristics of quadratic functions: graphs 4. Characteristics of quadratic functions: equations 5. Domain and range of quadratic functions: graphs 6. Domain and range of quadratic functions: equations Linear and exponential functions 7. Describe linear and exponential growth and decay 8. Identify linear and exponential functions from graphs 9. Identify linear and exponential functions from tables 10. Checkpoint: Compare linear and exponential functions Linear, exponential, and quadratic functions 11. Identify linear, quadratic, and exponential functions from graphs 12. Identify linear, quadratic, and exponential functions from tables 13. Compare linear, exponential, and quadratic growth Absolute value functions 14. Domain and range of absolute value functions: graphs 15. Domain and range of absolute value functions: equations Square root functions 16. Domain and range of square root functions: graphs 17. Domain and range of square root functions: equations Analyze functions 18. Checkpoint: Analyze, interpret, and compare functions 19. Checkpoint: Graph and analyze functions
Describe and compare functions
Exponential functions 1. Domain and range of exponential functions: graphs 2. Domain and range of exponential functions: equations Quadratic functions 3. Characteristics of quadratic functions: graphs 4. Characteristics of quadratic functions: equations 5. Domain and range of quadratic functions: graphs 6. Domain and range of quadratic functions: equations Linear and exponential functions 7. Describe linear and exponential growth and decay 8. Identify linear and exponential functions from graphs 9. Identify linear and exponential functions from tables 10. Checkpoint: Compare linear and exponential functions Linear, exponential, and quadratic functions 11. Identify linear, quadratic, and exponential functions from graphs 12. Identify linear, quadratic, and exponential functions from tables 13. Compare linear, exponential, and quadratic growth Absolute value functions 14. Domain and range of absolute value functions: graphs 15. Domain and range of absolute value functions: equations Square root functions 16. Domain and range of square root functions: graphs 17. Domain and range of square root functions: equations Analyze functions 18. Checkpoint: Analyze, interpret, and compare functions 19. Checkpoint: Graph and analyze functions

Understand function concepts		Function concepts 1. Checkpoint: Function concepts Average rate of change 2. Checkpoint: Average rate of change Function operations 3. Add and subtract functions 4. Multiply functions 5. Find the inverse of a linear function 6. Checkpoint: Build functions Function transformations 7. Function transformation rules 8. Translations of functions 9. Reflections of functions 10. Dilations of functions 11. Describe function transformations 12. Checkpoint: Function transformations
Understand function concepts
Function concepts 1. Checkpoint: Function concepts Average rate of change 2. Checkpoint: Average rate of change Function operations 3. Add and subtract functions 4. Multiply functions 5. Find the inverse of a linear function 6. Checkpoint: Build functions Function transformations 7. Function transformation rules 8. Translations of functions 9. Reflections of functions 10. Dilations of functions 11. Describe function transformations 12. Checkpoint: Function transformations
Score: 243+
Represent functions		1. Match polynomials and graphs 2. Graph square root functions 3. Match exponential functions and graphs 4. Graph logarithmic functions
Represent functions
1. Match polynomials and graphs 2. Graph square root functions 3. Match exponential functions and graphs 4. Graph logarithmic functions

Describe and compare functions		Polynomial functions 1. Find the roots of factored polynomials 2. Write a polynomial from its roots 3. Rational root theorem 4. Complex conjugate theorem 5. Conjugate root theorems 6. Domain and range of polynomials 7. Even and odd functions 8. Fundamental Theorem of Algebra Radical functions 9. Domain and range of radical functions Rational functions 10. Rational functions: asymptotes and excluded values Exponential and logarithmic functions 11. Domain and range of logarithmic functions
Describe and compare functions
Polynomial functions 1. Find the roots of factored polynomials 2. Write a polynomial from its roots 3. Rational root theorem 4. Complex conjugate theorem 5. Conjugate root theorems 6. Domain and range of polynomials 7. Even and odd functions 8. Fundamental Theorem of Algebra Radical functions 9. Domain and range of radical functions Rational functions 10. Rational functions: asymptotes and excluded values Exponential and logarithmic functions 11. Domain and range of logarithmic functions

Understand function concepts		Function operations 1. Add and subtract functions 2. Multiply functions 3. Divide functions Inverse functions 4. Find values of inverse functions from tables 5. Find values of inverse functions from graphs 6. Find inverse functions and relations
Understand function concepts
Function operations 1. Add and subtract functions 2. Multiply functions 3. Divide functions Inverse functions 4. Find values of inverse functions from tables 5. Find values of inverse functions from graphs 6. Find inverse functions and relations

Geometry
Score: Less than 208
Apply angle relationships		1. Find measures of complementary, supplementary, vertical, and adjacent angles
Apply angle relationships
1. Find measures of complementary, supplementary, vertical, and adjacent angles

Describe two- and three-dimensional figures		1. Triangle inequality 2. Cross sections of three-dimensional figures
Describe two- and three-dimensional figures
1. Triangle inequality 2. Cross sections of three-dimensional figures

Solve problems involving circles		1. Parts of a circle 2. Circumference of circles 3. Area of circles 4. Circles: word problems 5. Area of compound figures with triangles, semicircles, and quarter circles
Solve problems involving circles
1. Parts of a circle 2. Circumference of circles 3. Area of circles 4. Circles: word problems 5. Area of compound figures with triangles, semicircles, and quarter circles

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

Solve problems involving scale drawings		1. Scale drawings of polygons 2. Scale drawings: word problems 3. Scale drawings: scale factor word problems
Solve problems involving scale drawings
1. Scale drawings of polygons 2. Scale drawings: word problems 3. Scale drawings: scale factor word problems
Score: 208–212
Describe and apply transformations		Classify transformations 1. Identify reflections, rotations, and translations Translations 2. Translations: graph the image 3. Translations: find the coordinates Reflections 4. Reflections over the x- and y-axes: graph the image 5. Reflections over the x- and y-axes: find the coordinates Rotations 6. Rotations: graph the image 7. Rotations: find the coordinates Describe transformations 8. Describe transformations Sequence of congruence transformations 9. Describe a sequence of transformations 10. Sequences of congruence transformations: graph the image Dilations 11. Dilations: graph the image 12. Dilations: find the coordinates 13. Dilations: find the scale factor
Describe and apply transformations
Classify transformations 1. Identify reflections, rotations, and translations Translations 2. Translations: graph the image 3. Translations: find the coordinates Reflections 4. Reflections over the x- and y-axes: graph the image 5. Reflections over the x- and y-axes: find the coordinates Rotations 6. Rotations: graph the image 7. Rotations: find the coordinates Describe transformations 8. Describe transformations Sequence of congruence transformations 9. Describe a sequence of transformations 10. Sequences of congruence transformations: graph the image Dilations 11. Dilations: graph the image 12. Dilations: find the coordinates 13. Dilations: find the scale factor

Solve problems involving congruent figures		1. Identify congruent figures 2. Congruence statements and corresponding parts 3. Side lengths and angle measures of congruent figures
Solve problems involving congruent figures
1. Identify congruent figures 2. Congruence statements and corresponding parts 3. Side lengths and angle measures of congruent figures

Solve problems involving similar figures		1. Identify similar triangles 2. Angle-angle criterion for similar triangles 3. Side lengths and angle measures of similar triangles 4. Similar triangles and indirect measurement
Solve problems involving similar figures
1. Identify similar triangles 2. Angle-angle criterion for similar triangles 3. Side lengths and angle measures of similar triangles 4. Similar triangles and indirect measurement

Apply angle relationships		Triangles 1. Find missing angles in triangles 2. Triangle Angle-Sum Theorem 3. Exterior Angle Theorem Parallel lines 4. Transversals of parallel lines: name angle pairs 5. Transversals of parallel lines: find angle measures
Apply angle relationships
Triangles 1. Find missing angles in triangles 2. Triangle Angle-Sum Theorem 3. Exterior Angle Theorem Parallel lines 4. Transversals of parallel lines: name angle pairs 5. Transversals of parallel lines: find angle measures

Apply the Pythagorean theorem		1. Pythagorean theorem: find the length of the hypotenuse 2. Pythagorean theorem: find the missing leg length 3. Pythagorean theorem: find the missing leg or hypotenuse length 4. Pythagorean theorem: word problems 5. Converse of the Pythagorean theorem: is it a right triangle? 6. Find the distance between two points
Apply the Pythagorean theorem
1. Pythagorean theorem: find the length of the hypotenuse 2. Pythagorean theorem: find the missing leg length 3. Pythagorean theorem: find the missing leg or hypotenuse length 4. Pythagorean theorem: word problems 5. Converse of the Pythagorean theorem: is it a right triangle? 6. Find the distance between two points

Find surface area and volume		Surface area 1. Surface area of cubes, prisms, and pyramids 2. Surface area of cylinders Volume 3. Volume of cylinders 4. Volume of cones 5. Volume of spheres
Find surface area and volume
Surface area 1. Surface area of cubes, prisms, and pyramids 2. Surface area of cylinders Volume 3. Volume of cylinders 4. Volume of cones 5. Volume of spheres
Score: 213+
Describe and apply transformations		Congruence transformations 1. Translations: write the rule 2. Reflections and rotations: write the rule 3. Sequences of congruence transformations: find the rules 4. Transformations that carry a polygon onto itself Similarity transformations 5. Similar triangles and similarity transformations
Describe and apply transformations
Congruence transformations 1. Translations: write the rule 2. Reflections and rotations: write the rule 3. Sequences of congruence transformations: find the rules 4. Transformations that carry a polygon onto itself Similarity transformations 5. Similar triangles and similarity transformations

Perform constructions		1. Construct a congruent segment 2. Construct the midpoint or perpendicular bisector of a segment 3. Construct an angle bisector 4. Construct a congruent angle 5. Construct a perpendicular line 6. Construct parallel lines
Perform constructions
1. Construct a congruent segment 2. Construct the midpoint or perpendicular bisector of a segment 3. Construct an angle bisector 4. Construct a congruent angle 5. Construct a perpendicular line 6. Construct parallel lines

Find surface area and volume		Surface area 1. Surface area of prisms and cylinders 2. Surface area of pyramids and cones 3. Surface area of spheres Volume 4. Volume of compound figures
Find surface area and volume
Surface area 1. Surface area of prisms and cylinders 2. Surface area of pyramids and cones 3. Surface area of spheres Volume 4. Volume of compound figures

Understand circles		1. Central angles and arc measures 2. Understand arc length and sector area of a circle 3. Arc length 4. Area of sectors 5. Circle measurements: mixed review
Understand circles
1. Central angles and arc measures 2. Understand arc length and sector area of a circle 3. Arc length 4. Area of sectors 5. Circle measurements: mixed review

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