**A. Number theory**

- Factors
- Divisibility rules
- Prime or composite
- Prime factorization
- Greatest common factor
- Least common multiple
- GCF and LCM: word problems
- Sort factors of numerical expressions

**B. Integers**

- Integers on number lines
- Graph integers on horizontal and vertical number lines
- Absolute value and opposite integers
- Compare and order integers
- Integer inequalities with absolute values

**C. Operations with integers**

- Integer addition and subtraction rules
- Add and subtract integers using counters
- Add and subtract integers
- Add and subtract three or more integers
- Add and subtract integers: word problems
- Integer multiplication and division rules
- Multiply and divide integers
- Evaluate numerical expressions involving integers

**D. Exponents**

- Understanding exponents
- Evaluate exponents
- Solve equations with variable exponents
- Exponents with negative bases
- Exponents with decimal and fractional bases
- Understanding negative exponents
- Evaluate negative exponents
- Evaluate negative and zero exponents
- Multiplication with exponents
- Division with exponents
- Multiplication and division with exponents
- Power rule
- Evaluate expressions using properties of exponents
- Identify equivalent expressions involving exponents I
- Identify equivalent expressions involving exponents II

Checkpoint skill Checkpoint: Integer exponents

**E. Scientific notation**

- Convert between standard and scientific notation
- Scientific notation on calculators
- Compare numbers written in scientific notation
- Add and subtract numbers written in scientific notation
- Multiply numbers written in scientific notation
- Divide numbers written in scientific notation

Checkpoint skill Checkpoint: Scientific notation

**F. Square roots and cube roots**

- Square roots of perfect squares
- Estimate positive square roots
- Positive and negative square roots
- Estimate positive and negative square roots
- Relationship between squares and square roots
- Solve equations using square roots
- Cube roots of positive perfect cubes
- Cube roots of positive and negative perfect cubes
- Solve equations using cube roots
- Estimate cube roots

Checkpoint skill Checkpoint: Square and cube roots

**G. Rational numbers**

- Write fractions in lowest terms
- Least common denominator
- Round decimals and mixed numbers
- Write a repeating decimal as a fraction
- Convert between decimals and fractions or mixed numbers
- Absolute value of rational numbers
- Compare rational numbers
- Put rational numbers in order

**H. Operations with rational numbers**

- Reciprocals and multiplicative inverses
- Add and subtract rational numbers
- Add and subtract rational numbers: word problems
- Apply addition and subtraction rules
- Multiply and divide rational numbers
- Multiply and divide rational numbers: word problems
- Apply multiplication and division rules
- Apply addition, subtraction, multiplication, and division rules
- Evaluate numerical expressions involving rational numbers

**I. Rational and irrational numbers**

- Identify rational and irrational square roots
- Identify rational and irrational numbers
- Classify numbers
- Irrational numbers on number lines

Checkpoint skill Checkpoint: Rational and irrational numbers

Checkpoint skill Checkpoint: Approximate irrational numbers

**J. Ratios, rates, and proportions**

- Understanding ratios
- Identify equivalent ratios
- Write an equivalent ratio
- Equivalent ratios: word problems
- Unit rates
- Word problems involving ratios
- Do the ratios form a proportion?
- Do the ratios form a proportion: word problems
- Solve proportions
- Solve proportions: word problems
- Estimate population size using proportions
- Scale drawings: word problems
- Scale drawings: scale factor word problems

**K. Proportional relationships**

- Find the constant of proportionality from a table
- Write equations for proportional relationships from tables
- Identify proportional relationships by graphing
- Find the constant of proportionality from a graph
- Write equations for proportional relationships from graphs
- Identify proportional relationships from graphs and equations
- Identify proportional relationships from tables
- Identify proportional relationships: word problems
- Graph proportional relationships and find the slope
- Interpret graphs of proportional relationships
- Write and solve equations for proportional relationships
- Find the constant of variation
- Identify direct variation
- Write direct variation equations
- Write and solve direct variation equations

Checkpoint skill Checkpoint: Proportional relationships

**L. Percents**

- Convert between percents, fractions, and decimals
- Compare percents to fractions and decimals
- Find what percent one number is of another
- Find what percent one number is of another: word problems
- Estimate percents of numbers
- Percents of numbers and money amounts
- Percents of numbers: word problems
- Compare percents of numbers
- Solve percent equations
- Percent of change
- Percent of change: word problems
- Percent of change: find the original amount word problems

**M. Consumer math**

- Price lists
- Unit prices
- Unit prices with unit conversions
- Unit prices: find the total price
- Percent of a number: tax, discount, and more
- Find the percent: tax, discount, and more
- Sale prices: find the original price
- Multi-step problems with percents
- Estimate tips
- Simple interest
- Compound interest

**N. Units of measurement**

- Convert rates and measurements: customary units
- Convert rates and measurements: metric units
- Mixed customary units
- Convert between customary and metric systems
- Precision
- Convert between Celsius and Fahrenheit

**O. Problem solving**

- Multi-step word problems
- Guess-and-check word problems
- Use Venn diagrams to solve problems
- Elapsed time word problems

**P. Coordinate plane**

- Coordinate plane review
- Quadrants and axes
- Follow directions on a coordinate plane
- Find the distance between two points

**Q. Two-dimensional figures**

- Identify and classify polygons
- Classify triangles
- Identify trapezoids
- Classify quadrilaterals I
- Classify quadrilaterals II
- Graph triangles and quadrilaterals
- Find missing angles in triangles
- Find missing angles in triangles using ratios
- Triangle Angle-Sum Theorem
- Find missing angles in quadrilaterals I
- Find missing angles in quadrilaterals II
- Exterior Angle Theorem
- Interior angles of polygons
- Identify complementary, supplementary, vertical, adjacent, and congruent angles
- Find measures of complementary, supplementary, vertical, and adjacent angles
- Identify alternate interior and alternate exterior angles
- Transversals of parallel lines: name angle pairs
- Transversals of parallel lines: find angle measures
- Transversals of parallel lines: solve for x
- Find lengths and measures of bisected line segments and angles
- Parts of a circle

Checkpoint skill Checkpoint: Triangles and transversals

**R. Transformations and congruence**

- Line symmetry
- Rotational symmetry
- Rotational symmetry: amount of rotation
- Identify reflections, rotations, and translations
- Describe a sequence of transformations
- Translations: graph the image
- Translations: find the coordinates
- Translations: write the rule
- Reflections over the x- and y-axes: graph the image
- Reflections over the x- and y-axes: find the coordinates
- Reflections: graph the image
- Reflections: find the coordinates
- Rotations: graph the image
- Rotations: find the coordinates

• New! Reflections and rotations: write the rule

• New! Describe transformations - Sequences of congruence transformations: graph the image
- Identify congruent figures
- Congruence statements and corresponding parts
- Side lengths and angle measures of congruent figures
- Congruent triangles: SSS, SAS, and ASA

Checkpoint skill Checkpoint: Congruence transformations

**S. Transformations and similarity**

- Similar and congruent figures
- Dilations: graph the image
- Dilations: find the coordinates
- Dilations: find the scale factor
- Identify similar triangles
- Angle-angle criterion for similar triangles
- Side lengths and angle measures of similar triangles
- Side lengths and angle measures of similar figures
- Find missing side lengths in proportional triangles

Checkpoint skill Checkpoint: Similarity transformations

Checkpoint skill Checkpoint: Transformations on the coordinate plane

**T. Pythagorean theorem**

- Pythagorean theorem: find the length of the hypotenuse
- Pythagorean theorem: find the missing leg length
- Pythagorean theorem: find the missing leg or hypotenuse length
- Pythagorean theorem: find the perimeter
- Pythagorean theorem: word problems
- Converse of the Pythagorean theorem: is it a right triangle?

Checkpoint skill Checkpoint: Pythagorean theorem and its converse

Checkpoint skill Checkpoint: Applications of the Pythagorean theorem

**U. Three-dimensional figures**

- Parts of three-dimensional figures
- Nets of three-dimensional figures
- Front, side, and top view
- Base plans
- Similar solids

**V. Geometric measurement**

- Perimeter
- Area
- Area and perimeter: word problems
- Area and circumference of circles
- Circles: word problems
- Area and perimeter of semicircles and quarter circles
- Area between two shapes
- Volume of cubes, prisms, and pyramids
- Surface area of cubes, prisms, and pyramids
- Volume of cylinders
- Volume of cones
- Surface area of cylinders
- Surface area of cones
- Volume of spheres
- Surface area of spheres
- Volume and surface area of similar solids
- Perimeter and area: changes in scale

Checkpoint skill Checkpoint: Volume

**W. Number sequences**

- Identify arithmetic and geometric sequences
- Arithmetic sequences
- Geometric sequences
- Number sequences: mixed review
- Number sequences: word problems
- Evaluate variable expressions for number sequences
- Write variable expressions for arithmetic sequences

**X. Expressions and properties**

- Write variable expressions: one operation
- Write variable expressions: two or three operations
- Write variable expressions from diagrams
- Write variable expressions: word problems
- Evaluate one-variable expressions
- Evaluate multi-variable expressions
- Evaluate absolute value expressions
- Evaluate radical expressions
- Evaluate rational expressions
- Identify terms and coefficients
- Sort factors of variable expressions
- Properties of addition and multiplication
- Multiply using the distributive property
- Write equivalent expressions using properties
- Add and subtract like terms
- Add and subtract linear expressions
- Factors of linear expressions
- Identify equivalent linear expressions I
- Identify equivalent linear expressions II
- Identify equivalent linear expressions: word problems

**Y. One-variable equations**

- Which x satisfies an equation?
- Write an equation from words
- Model and solve equations using algebra tiles
- Write and solve equations that represent diagrams
- Properties of equality
- Identify equivalent equations
- Solve one-step equations
- Solve two-step equations
- Solve two-step equations: complete the solution
- Solve one-step and two-step equations: word problems
- Solve equations involving like terms
- Solve equations with variables on both sides
- Solve equations with variables on both sides: fractional coefficients
- Solve equations with the distributive property
- Solve multi-step equations
- Solve multi-step equations with fractional coefficients
- Solve equations: mixed review
- Solve multi-step equations: complete the solution
- Find the number of solutions
- Create equations with no solutions or infinitely many solutions

Checkpoint skill Checkpoint: Solve linear equations

**Z. One-variable inequalities**

- Solutions to inequalities
- Graph inequalities on number lines
- Write inequalities from number lines
- Solve one-step inequalities
- Graph solutions to one-step inequalities
- Solve two-step inequalities
- Graph solutions to two-step inequalities
- Solve multi-step inequalities
- Graph solutions to multi-step inequalities
- Solve inequalities with integers: variables on both sides
- Solve inequalities with decimals: variables on both sides

**AA. Linear equations**

- Find the slope of a graph
- Find the slope from two points
- Find a missing coordinate using slope
- Slope-intercept form: find the slope and y-intercept
- Graph a line using slope
- Graph a line from an equation in slope-intercept form
- Graph a line from an equation in point-slope form
- Write a linear equation from a slope and y-intercept
- Write a linear equation from a graph
- Write a linear equation from a slope and a point
- Write a linear equation from two points
- Convert a linear equation in standard form to slope-intercept form
- Graph a line from an equation in standard form
- Graph a horizontal or vertical line
- Equations of horizontal and vertical lines
- Slopes of parallel and perpendicular lines

Checkpoint skill Checkpoint: Slope and linear equations

**BB. Functions**

- Identify functions
- Identify functions: graphs
- Does (x, y) satisfy the linear function?
- Relate the graph of an equation to its solutions
- Identify independent and dependent variables
- Rate of change: tables
- Rate of change: graphs
- Constant rate of change
- Evaluate a linear function
- Complete a table for a linear function
- Complete a table and graph a linear function
- Interpret points on the graph of a linear function
- Interpret the slope and y-intercept of a linear function
- Write a linear function from a table
- Compare linear functions: graphs and equations
- Compare linear functions: tables, graphs, and equations
- Write linear functions: word problems
- Evaluate a linear function: word problems
- Identify linear and nonlinear functions: graphs and equations
- Identify linear and nonlinear functions: tables
- Does (x, y) satisfy the nonlinear function?
- Evaluate a nonlinear function
- Find values using function graphs
- Complete a table for a function graph
- Domain and range of functions

• New! Identify graphs: word problems

Checkpoint skill Checkpoint: Understand functions

Checkpoint skill Checkpoint: Compare functions

Checkpoint skill Checkpoint: Linear and nonlinear functions

Checkpoint skill Checkpoint: Construct and interpret linear functions

Checkpoint skill Checkpoint: Sketch and describe graphs

**CC. Systems of linear equations**

- Is (x, y) a solution to the system of equations?
- Solve a system of equations by graphing
- Solve a system of equations by graphing: word problems
- Find the number of solutions to a system of equations by graphing
- Find the number of solutions to a system of equations
- Classify a system of equations by graphing
- Classify a system of equations
- Solve a system of equations using substitution
- Solve a system of equations using substitution: word problems
- Solve a system of equations using elimination
- Solve a system of equations using elimination: word problems
- Solve a system of equations using any method
- Solve a system of equations using any method: word problems

Checkpoint skill Checkpoint: Systems of equations

**DD. Monomials and polynomials**

- Identify monomials
- Model polynomials with algebra tiles
- Add and subtract polynomials using algebra tiles
- Add and subtract polynomials
- Add polynomials to find perimeter
- Multiply monomials
- Divide monomials
- Multiply and divide monomials
- Powers of monomials
- Square and cube roots of monomials
- Multiply polynomials using algebra tiles
- Multiply polynomials
- Multiply polynomials to find area

**EE. Data and graphs**

- Interpret tables
- Interpret bar graphs
- Create bar graphs
- Interpret line graphs
- Create line graphs
- Interpret line plots
- Create line plots
- Create and interpret line plots with fractions
- Interpret stem-and-leaf plots
- Create stem-and-leaf plots
- Interpret histograms
- Create histograms
- Create frequency charts
- Box plots
- Interpret scatter plots
- Create scatter plots
- Identify trends with scatter plots
- Make predictions with scatter plots
- Interpret circle graphs
- Circle graphs and central angles

**FF. Statistics**

- Calculate mean, median, mode, and range
- Interpret charts and graphs to find mean, median, mode, and range
- Mean, median, mode, and range: find the missing number
- Changes in mean, median, mode, and range
- Calculate mean absolute deviation
- Calculate quartiles and interquartile range
- Identify an outlier
- Identify an outlier and describe the effect of removing it
- Outliers in scatter plots
- Identify lines of best fit
- Write equations for lines of best fit
- Identify representative, random, and biased samples

Checkpoint skill Checkpoint: Scatter plots

Checkpoint skill Checkpoint: Lines of best fit

Checkpoint skill Checkpoint: Linear models: interpret and solve

**GG. Probability**

- Probability of simple events
- Probability of opposite, mutually exclusive, and overlapping events
- Experimental probability
- Find probabilities using two-way frequency tables
- Make predictions
- Compound events: find the number of outcomes
- Compound events: find the number of sums
- Identify independent and dependent events
- Probability of independent and dependent events
- Factorials
- Permutations
- Counting principle
- Combination and permutation notation

Checkpoint skill Checkpoint: Two-way frequency tables