A. Numbers

1. Compare and order rational numbers
2. Absolute value and opposites
3. Number lines
4. Convert between decimals and fractions
5. Convert between repeating decimals and fractions
6. Square roots
7. Cube roots
8. Sort rational and irrational numbers
9. Classify rational and irrational numbers
10. Properties of operations on rational and irrational numbers
11. Classify numbers

B. Operations

1. Add, subtract, multiply, and divide integers
2. Evaluate numerical expressions involving integers
3. Evaluate variable expressions involving integers
4. Add and subtract rational numbers
5. Multiply and divide rational numbers
6. Simplify complex fractions
7. Evaluate numerical expressions involving rational numbers
8. Evaluate variable expressions involving rational numbers

C. Ratios, rates, and proportions

1. Identify equivalent ratios
2. Write an equivalent ratio
3. Unit rates
4. Unit prices
5. Solve proportions
6. Solve proportions: word problems
7. Scale drawings: word problems

D. Percents

1. Convert between percents, fractions, and decimals
2. Solve percent equations
3. Percent word problems
4. Percent of change
5. Percent of change: word problems
6. Percent of change: find the original amount word problems
7. Percent of a number: tax, discount, and more
8. Find the percent: tax, discount, and more
9. Multi-step problems with percents

E. Measurement

1. Convert rates and measurements: customary units
2. Convert rates and measurements: metric units
3. Unit prices with unit conversions
4. Multi-step problems with unit conversions
5. Precision
6. Greatest possible error
7. Minimum and maximum area and volume
8. Percent error
9. Percent error: area and volume

F. Geometry

1. Perimeter
2. Area
3. Area and perimeter: word problems
4. Volume
5. Surface area
6. Similar figures: side lengths and angle measures
7. Similar triangles and indirect measurement
8. Dilations and scale factors
9. Area and perimeter of similar figures
10. Area between two shapes
11. Similar solids
12. Volume and surface area of similar solids
13. Perimeter and area: changes in scale
14. Surface area and volume: changes in scale
15. Perimeter, area, and volume: changes in scale
16. Pythagorean theorem
17. Pythagorean theorem: word problems
18. Converse of the Pythagorean theorem: is it a right triangle?
19. Special right triangles

G. Coordinate plane

1. Coordinate plane review
2. Midpoint formula: find the midpoint
3. Midpoint formula: find the endpoint
4. Distance between two points

H. Properties

1. Properties of addition and multiplication
2. Distributive property
3. Simplify variable expressions using properties
4. Properties of equality
5. Identify equivalent equations

I. Variable expressions and equations

1. Write variable expressions
2. Sort factors of variable expressions
3. Simplify variable expressions involving like terms and the distributive property
4. Identify equivalent linear expressions
5. Write variable equations
6. Does x satisfy the equation?
7. Which x satisfies an equation?
8. Solve equations using order of operations
9. Does (x, y) satisfy the equation?
10. Relate the graph of an equation to its solutions
11. Rearrange multi-variable equations

J. Solve linear equations

1. Model and solve linear equations using algebra tiles
2. Write and solve linear equations that represent diagrams
3. Solve one-step linear equations
4. Solve two-step linear equations
6. Solve linear equations with variables on both sides
7. Solve linear equations: complete the solution
8. Find the number of solutions to a linear equation
9. Create linear equations with no solutions or infinitely many solutions
10. Solve one-step and two-step linear equations: word problems
11. Solve linear equations: mixed review

K. Single-variable linear inequalities

1. Graph inequalities
2. Write inequalities from graphs
3. Identify solutions to inequalities
4. Solve one-step linear inequalities: addition and subtraction
5. Solve one-step linear inequalities: multiplication and division
6. Solve one-step linear inequalities
7. Graph solutions to one-step linear inequalities
8. Solve two-step linear inequalities
9. Graph solutions to two-step linear inequalities
11. Graph solutions to advanced linear inequalities
12. Graph compound inequalities
13. Write compound inequalities from graphs
14. Solve compound inequalities
15. Graph solutions to compound inequalities
Checkpoint skill Checkpoint: Solve linear equations and inequalities

L. Absolute value equations and inequalities

1. Solve absolute value equations
2. Graph solutions to absolute value equations
3. Solve absolute value inequalities
4. Graph solutions to absolute value inequalities

M. Matrices

1. Matrix vocabulary
2. Matrix operation rules
4. Multiply a matrix by a scalar
5. Add and subtract scalar multiples of matrices
6. Multiply two matrices
7. Properties of matrices

N. Data and graphs

1. Interpret line plots
2. Create line plots
3. Interpret histograms
4. Create histograms
5. Interpret bar graphs, line graphs, and histograms
6. Create bar graphs, line graphs, and histograms
7. Interpret circle graphs
8. Interpret stem-and-leaf plots
9. Box plots
Checkpoint skill Checkpoint: Line plots, histograms, and box plots

O. Problem solving

1. Word problems: mixed review
2. Word problems with money
3. Consecutive integer problems
4. Rate of travel: word problems
5. Weighted averages: word problems
Checkpoint skill Checkpoint: Units and quantities

P. Number sequences

1. Identify arithmetic and geometric sequences
2. Arithmetic sequences
3. Geometric sequences
4. Evaluate variable expressions for number sequences
5. Evaluate recursive formulas for sequences
6. Identify a sequence as explicit or recursive
7. Write variable expressions for arithmetic sequences
8. Write variable expressions for geometric sequences
9. Write a formula for a recursive sequence
10. Convert a recursive formula to an explicit formula
11. Convert an explicit formula to a recursive formula
12. Number sequences: mixed review
Checkpoint skill Checkpoint: Sequences

Q. Relations and functions

1. Relations: convert between tables, graphs, mappings, and lists of points
2. Domain and range of relations
3. Identify independent and dependent variables
4. Identify functions
5. Identify functions: vertical line test
6. Find values using function graphs
7. Evaluate a function
8. Evaluate a function: plug in an expression
10. Multiply functions
11. Find the inverse of a function
12. Complete a function table from a graph
13. Complete a function table from an equation
14. Find solutions using a table
15. Approximate solutions using a table
16. Interpret the graph of a function: word problems
17. Interpret functions using everyday language
• New! Identify graphs: word problems
18. Rate of change: tables
19. Rate of change: graphs
Checkpoint skill Checkpoint: Function concepts
Checkpoint skill Checkpoint: Average rate of change
Checkpoint skill Checkpoint: Solve equations using graphs and tables

R. Piecewise-defined functions

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

S. Direct and inverse variation

1. Identify proportional relationships
2. Find the constant of variation
3. Graph a proportional relationship
4. Write direct variation equations
5. Write and solve direct variation equations
6. Identify direct variation and inverse variation
7. Write inverse variation equations
8. Write and solve inverse variation equations

T. Linear functions

1. Identify linear functions from graphs and equations
2. Identify linear functions from tables
3. Find the slope of a graph
4. Find the slope from two points
5. Find a missing coordinate using slope
6. Slope-intercept form: find the slope and y-intercept
7. Slope-intercept form: graph an equation
8. Slope-intercept form: write an equation from a graph
9. Slope-intercept form: write an equation
10. Slope-intercept form: write an equation from a table
11. Slope-intercept form: write an equation from a word problem
12. Linear equations: solve for y
13. Write and solve two-variable linear equations: word problems
14. Complete a table and graph a linear function
15. Compare linear functions: graphs and equations
16. Compare linear functions: tables, graphs, and equations
17. Interpret the slope and y-intercept of a linear function
18. Write equations in standard form
19. Standard form: find x- and y-intercepts
20. Standard form: graph an equation
21. Equations of horizontal and vertical lines
22. Graph a horizontal or vertical line
23. Point-slope form: graph an equation
24. Point-slope form: write an equation
25. Point-slope form: write an equation from a graph
26. Find the slope and intercepts from an equation
27. Slopes of parallel and perpendicular lines
28. Write an equation for a parallel or perpendicular line
29. Transformations of linear functions

U. Two-variable linear inequalities

1. Does (x, y) satisfy the inequality?
2. Linear inequalities: solve for y
3. Graph a two-variable linear inequality
4. Write a linear inequality from a graph
5. Write two-variable inequalities: word problems
6. Is (x, y) a solution to the system of linear inequalities?
7. Solve systems of linear inequalities by graphing

V. Systems of linear 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. Find the number of solutions to a system of equations
6. Classify a system of equations by graphing
7. Classify a system of equations
8. Solve a system of equations using substitution
9. Solve a system of equations using substitution: word problems
10. Solve a system of equations using elimination
11. Solve a system of equations using elimination: word problems
12. Solve a system of equations using augmented matrices
13. Solve a system of equations using augmented matrices: word problems
14. Solve a system of equations using any method
15. Solve a system of equations using any method: word problems
Checkpoint skill Checkpoint: Systems of equations and inequalities
Checkpoint skill Checkpoint: Represent constraints

W. Exponents

1. Exponents with integer bases
2. Exponents with decimal and fractional bases
3. Negative exponents
4. Multiplication with exponents
5. Division with exponents
6. Multiplication and division with exponents
7. Power rule
8. Evaluate expressions using properties of exponents
9. Identify equivalent expressions involving exponents I
10. Identify equivalent expressions involving exponents II
11. Evaluate integers raised to positive rational exponents
12. Evaluate integers raised to rational exponents
13. Multiplication with rational exponents
14. Division with rational exponents
15. Power rule with rational exponents
16. Simplify expressions involving rational exponents

X. Scientific notation

1. Convert between standard and scientific notation
2. Compare numbers written in scientific notation
3. Add and subtract numbers written in scientific notation
4. Multiply numbers written in scientific notation
5. Divide numbers written in scientific notation

Y. Exponential functions

1. Evaluate an exponential function
2. Graph exponential functions
3. Match exponential functions and graphs I
4. Match exponential functions and graphs II
5. Domain and range of exponential functions: graphs
6. Domain and range of exponential functions: equations
• New! Write exponential functions: word problems
7. Exponential growth and decay: word problems
8. Compound interest: word problems

Z. Monomials

1. Identify monomials
2. Multiply monomials
3. Divide monomials
4. Multiply and divide monomials
5. Powers of monomials

AA. Polynomials

1. Polynomial vocabulary
2. Model polynomials with algebra tiles
3. Add and subtract polynomials using algebra tiles
5. Add polynomials to find perimeter
6. Multiply a polynomial by a monomial
7. Multiply two binomials using algebra tiles
8. Multiply two binomials
9. Multiply two binomials: special cases
10. Multiply polynomials using area models
11. Multiply polynomials
12. Multiply polynomials to find area
Checkpoint skill Checkpoint: Polynomial operations

BB. Factoring

1. GCF of monomials
2. Factor out a monomial
3. Factor quadratics using algebra tiles
7. Factor by grouping
8. Factor using a quadratic pattern
9. Factor polynomials

1. Characteristics of quadratic functions: graphs
2. Characteristics of quadratic functions: equations
3. Complete a function table: quadratic functions
5. Graph quadratic functions in vertex form
6. Solve a quadratic equation using square roots
7. Solve a quadratic equation using the zero product property
8. Solve a quadratic equation by factoring
9. Complete the square
10. Solve a quadratic equation by completing the square
• New! Solve quadratic equations: word problems
12. Using the discriminant
13. Write a quadratic function in vertex form
14. Graph quadratic functions in standard form
15. Match quadratic functions and graphs
• New! Domain and range of quadratic functions: graphs
16. Domain and range of quadratic functions: equations
17. Write a quadratic function from its vertex and another point
• New! Interpret parts of quadratic expressions: word problems
18. Solve a system of linear and quadratic equations by graphing
19. Solve a system of linear and quadratic equations
Checkpoint skill Checkpoint: Write and interpret equivalent expressions

1. Identify linear and exponential functions from graphs
2. Identify linear, quadratic, and exponential functions from graphs
3. Identify linear and exponential functions from tables
4. Identify linear, quadratic, and exponential functions from tables
5. Write linear and exponential functions: word problems
6. Write linear and exponential functions from tables
7. Write linear, quadratic, and exponential functions from tables
8. Linear functions over unit intervals
9. Exponential functions over unit intervals
10. Describe linear and exponential growth and decay
11. Compare linear and exponential growth
12. Compare linear, exponential, and quadratic growth
Checkpoint skill Checkpoint: Problem solving with equations and inequalities
Checkpoint skill Checkpoint: Features of functions
Checkpoint skill Checkpoint: Compare linear and exponential functions
Checkpoint skill Checkpoint: Build functions

EE. Absolute value and function families

1. Complete a function table: absolute value functions
2. Graph an absolute value function
3. Domain and range of absolute value functions: graphs
4. Domain and range of absolute value functions: equations
5. Transformations of absolute value functions: translations and reflections
6. Transformations of absolute value functions: translations, reflections, and dilations
7. Function transformation rules
8. Translations of functions
9. Reflections of functions
10. Dilations of functions
11. Transformations of functions
12. Describe function transformations
Checkpoint skill Checkpoint: Graph and analyze functions
Checkpoint skill Checkpoint: Function transformations

2. Simplify radical expressions with variables
3. Simplify radical expressions involving fractions
6. Simplify radical expressions using the distributive property
7. Simplify radical expressions using conjugates
8. Simplify radical expressions: mixed review
Checkpoint skill Checkpoint: Radicals and rational exponents

1. Evaluate square root functions
2. Domain and range of square root functions: graphs
3. Domain and range of square root functions: equations
4. Graph square root functions

HH. Rational functions and expressions

1. Rational functions: asymptotes and excluded values
2. Simplify rational expressions
3. Multiply and divide rational expressions
4. Divide polynomials by monomials
5. Divide polynomials using long division
6. Add and subtract rational expressions
7. Simplify mixed rational expressions
8. Solve rational equations
9. Evaluate rational expressions

II. Trigonometry

1. Trigonometric ratios: sin, cos, and tan
2. Find trigonometric ratios using a calculator
3. Inverses of trigonometric functions
4. Trigonometric ratios: find a side length
5. Trigonometric ratios: find an angle measure
6. Solve a right triangle

JJ. Sets

1. Sets, subsets, and complements
2. Set-builder notation
3. Interval notation
• New! Unions and intersections of sets

KK. Logic

1. Identify hypotheses and conclusions
2. Counterexamples

LL. Probability

1. Theoretical probability
2. Experimental probability
3. Find probabilities using two-way frequency tables
4. Find conditional probabilities using two-way frequency tables
5. Outcomes of compound events
6. Identify independent and dependent events
7. Probability of independent and dependent events
8. Counting principle
9. Permutations
10. Permutation and combination notation
Checkpoint skill Checkpoint: Two-way frequency tables

MM. Statistics

1. Identify biased samples
2. Mean, median, mode, and range
3. Calculate quartiles and interquartile range
4. Identify an outlier
5. Identify an outlier and describe the effect of removing it
6. Mean absolute deviation
7. Variance and standard deviation
8. Interpret a scatter plot
9. Outliers in scatter plots
10. Match correlation coefficients to scatter plots
11. Calculate correlation coefficients
12. Write equations for lines of best fit
13. Find the equation of a regression line
14. Interpret regression lines
15. Analyze a regression line of a data set
16. Correlation and causation
Checkpoint skill Checkpoint: Compare data sets
Checkpoint skill Checkpoint: Linear modeling