A. Number theory

  1. Prime or composite
  2. Prime factorization
  3. Multiplicative inverses
  4. Divisibility rules
  5. Greatest common factor
  6. Least common multiple
  7. GCF and LCM: word problems
  8. Sort factors of numerical expressions
  9. Scientific notation
  10. Compare numbers written in scientific notation
  11. Classify numbers
  12. Factorials

B. Integers

  1. Understanding integers
  2. Integers on number lines
  3. Graph integers on horizontal and vertical number lines
  4. Understanding absolute value
  5. Absolute value and opposite integers
  6. Quantities that combine to zero: word problems
  7. Compare and order integers
  8. Integer inequalities with absolute values

C. Operations with integers

  1. Add integers using counters
  2. Add integers using number lines
  3. Integer addition rules
  4. Add integers
  5. Add three or more integers
  6. Subtract integers using counters
  7. Subtract integers using number lines
  8. Integer subtraction rules
  9. Subtract integers
  10. Integer addition and subtraction rules
  11. Add and subtract integers using counters
  12. Add and subtract integers
  13. Complete addition and subtraction equations with integers
  14. Add and subtract integers: word problems
  15. Understand multiplying by a negative integer using a number line
  16. Integer multiplication rules
  17. Multiply integers
  18. Integer division rules
  19. Equal quotients of integers
  20. Divide integers
  21. Integer multiplication and division rules
  22. Multiply and divide integers
  23. Complete multiplication and division equations with integers
  24. Add, subtract, multiply, and divide integers
  25. Evaluate numerical expressions involving integers

D. Decimals

  1. Decimal numbers review
  2. Compare and order decimals
  3. Decimal number lines
  4. Round decimals

E. Operations with decimals

  1. Add and subtract decimals
  2. Add and subtract decimals: word problems
  3. Multiply decimals
  4. Multiply decimals and whole numbers: word problems
  5. Divide decimals
  6. Divide decimals by whole numbers: word problems
  7. Estimate sums, differences, and products of decimals
  8. Add, subtract, multiply, or divide two decimals
  9. Add, subtract, multiply, and divide decimals: word problems
  10. Multi-step inequalities with decimals
  11. Maps with decimal distances
  12. Evaluate numerical expressions involving decimals

F. Fractions and mixed numbers

  1. Understanding fractions: word problems
  2. Equivalent fractions
  3. Write fractions in lowest terms
  4. Fractions: word problems with graphs and tables
  5. Least common denominator
  6. Compare and order fractions
  7. Compare fractions: word problems
  8. Convert between mixed numbers and improper fractions
  9. Compare mixed numbers and improper fractions
  10. Round mixed numbers

G. Operations with fractions

  1. Add and subtract fractions
  2. Add and subtract fractions: word problems
  3. Add and subtract mixed numbers
  4. Add and subtract mixed numbers: word problems
  5. Inequalities with addition and subtraction of fractions and mixed numbers
  6. Estimate sums and differences of mixed numbers
  7. Multiply fractions and whole numbers
  8. Multiply two fractions using models
  9. Multiply fractions
  10. Multiply mixed numbers
  11. Multiply fractions and mixed numbers: word problems
  12. Divide fractions
  13. Divide mixed numbers
  14. Divide fractions and mixed numbers: word problems
  15. Estimate products and quotients of fractions and mixed numbers
  16. Add, subtract, multiply, and divide fractions and mixed numbers: word problems
  17. Maps with fractional distances
  18. Evaluate numerical expressions involving fractions

H. Rational numbers

  1. Convert fractions or mixed numbers to decimals
  2. Convert decimals to fractions or mixed numbers
  3. Convert between decimals and fractions or mixed numbers
  4. Identify rational numbers
  5. Classify rational numbers using a diagram
  6. Classify rational numbers
  7. Absolute value of rational numbers
  8. Compare rational numbers
  9. Put rational numbers in order
  10. Add and subtract positive and negative decimals
  11. Add and subtract positive and negative fractions
  12. Add and subtract rational numbers
  13. Rational numbers: find the sign
  14. Apply addition and subtraction rules
  15. Identify quotients of rational numbers: word problems
  16. Multiply and divide positive and negative decimals
  17. Multiply and divide positive and negative fractions
  18. Multiply and divide rational numbers
  19. Apply multiplication and division rules

I. Exponents and square roots

  1. Understanding exponents
  2. Evaluate exponents
  3. Solve equations with variable exponents
  4. Exponents with negative bases
  5. Exponents with decimal and fractional bases
  6. Powers of ten
  7. Evaluate numerical expressions involving exponents
  8. Square roots of perfect squares
  9. Estimate square roots

J. Ratios, rates, and proportions

  1. Understanding ratios
  2. Identify equivalent ratios
  3. Write an equivalent ratio
  4. Equivalent ratios: word problems
  5. Unit rates
  6. Calculate unit rates with fractions
  7. Compare ratios: word problems
  8. Compare rates: word problems
  9. Do the ratios form a proportion?
  10. Do the ratios form a proportion: word problems
  11. Solve proportions
  12. Solve proportions: word problems
  13. Estimate population size using proportions
  14. Rate of change: tables
  15. Rate of change: graphs
  16. Constant rate of change

K. Proportional relationships

  1. Find the constant of proportionality from a table
  2. Write equations for proportional relationships from tables
  3. Identify proportional relationships by graphing
  4. Find the constant of proportionality from a graph
  5. Write equations for proportional relationships from graphs
  6. Identify proportional relationships from graphs and equations
  7. Identify proportional relationships from tables
  8. Complete a table and graph a proportional relationship
  9. Graph a proportional relationship: word problems
  10. Interpret graphs of proportional relationships
  11. Write and solve equations for proportional relationships

L. Percents

  1. What percentage is illustrated?
  2. Convert between percents, fractions, and decimals
  3. Compare percents to fractions and decimals
  4. Estimate percents of numbers
  5. Solve percent problems using strip models
  6. Percents of numbers and money amounts
  7. Percents of numbers: word problems
  8. Solve percent equations
  9. Solve percent equations: word problems
  10. Percent of change
  11. Percent of change: word problems
  12. Percent of change: find the original amount word problems
  13. Percent error: word problems

M. Consumer math

  1. Add, subtract, multiply, and divide money amounts: word problems
  2. Price lists
  3. Unit prices
  4. Unit prices with unit conversions
  5. Unit prices: find the total price
  6. Percent of a number: tax, discount, and more
  7. Which is the better coupon?
  8. Find the percent: tax, discount, and more
  9. Sale prices: find the original price
  10. Multi-step problems with percents
  11. Estimate tips
  12. Simple interest
  13. Compound interest

N. Problem solving and estimation

  1. Estimate to solve word problems
  2. Multi-step word problems with positive rational numbers
  3. Multi-step word problems: identify reasonable answers
  4. Guess-and-check word problems
  5. Use Venn diagrams to solve problems
  6. Find the number of each type of coin
  7. Elapsed time word problems

O. Units of measurement

  1. Estimate customary measurements
  2. Estimate metric measurements
  3. Compare and convert customary units
  4. Mixed customary units
  5. Compare and convert metric units
  6. Convert between customary and metric systems
  7. Precision
  8. Celsius and Fahrenheit temperatures

P. Coordinate plane

  1. Coordinate plane review
  2. Quadrants and axes
  3. Follow directions on a coordinate plane
  4. Distance between two points

Q. Number sequences

  1. Identify arithmetic and geometric sequences
  2. Arithmetic sequences
  3. Geometric sequences
  4. Number sequences: mixed review
  5. Number sequences: word problems
  6. Evaluate variable expressions for number sequences
  7. Write variable expressions for arithmetic sequences

R. Expressions and properties

  1. Write variable expressions: one operation
  2. Write variable expressions: two or three operations
  3. Write variable expressions: word problems
  4. Evaluate linear expressions
  5. Evaluate multi-variable expressions
  6. Evaluate absolute value expressions
  7. Evaluate nonlinear expressions
  8. Identify terms and coefficients
  9. Sort factors of variable expressions
  10. Properties of addition and multiplication
  11. Simplify expressions by combining like terms: with algebra tiles
  12. Simplify expressions by combining like terms
  13. Multiply using the distributive property: area models
  14. Multiply using the distributive property
  15. Write equivalent expressions using properties
  16. Add and subtract linear expressions
  17. Add and subtract like terms: with exponents
  18. Factor linear expressions: area models
  19. Factors of linear expressions
  20. Identify equivalent linear expressions using algebra tiles
  21. Identify equivalent linear expressions I
  22. Identify equivalent linear expressions II
  23. Identify equivalent linear expressions: word problems

S. One-variable equations

  1. Which x satisfies an equation?
  2. Write an equation from words
  3. Solve equations using properties
  4. Model and solve equations using algebra tiles
  5. Write and solve equations that represent diagrams
  6. Solve one-step equations
  7. Solve two-step equations without parentheses
  8. Solve two-step equations with parentheses
  9. Solve two-step equations
  10. Choose two-step equations: word problems
  11. Solve two-step equations: word problems
  12. Solve equations involving like terms
  13. Solve equations: complete the solution

T. One-variable inequalities

  1. Solutions to inequalities
  2. Graph inequalities on number lines
  3. Write inequalities from number lines
  4. Solve one-step inequalities
  5. Graph solutions to one-step inequalities
  6. One-step inequalities: word problems
  7. Solve two-step inequalities
  8. Graph solutions to two-step inequalities

U. Two-variable equations

  1. Does (x, y) satisfy the equation?
  2. Identify independent and dependent variables
  3. Find a value using two-variable equations
  4. Evaluate two-variable equations: word problems
  5. Complete a table for a two-variable relationship
  6. Write a two-variable equation
  7. Identify the graph of an equation
  8. Graph a two-variable equation
  9. Interpret a graph: word problems
  10. Write an equation from a graph using a table

V. Linear functions

  1. Find the slope from a graph
  2. Find the slope from two points
  3. Find a missing coordinate using slope
  4. Find the slope from an equation
  5. Graph a line using slope
  6. Write a linear equation from a graph
  7. Identify linear and nonlinear functions

W. Two-dimensional figures

  1. Identify and classify polygons
  2. Name, measure, and classify angles
  3. Classify triangles
  4. Triangle inequality
  5. Identify trapezoids
  6. Classify quadrilaterals I
  7. Classify quadrilaterals II
  8. Graph triangles and quadrilaterals
  9. Find missing angles in triangles
  10. Find missing angles in triangles using ratios
  11. Find missing angles in quadrilaterals I
  12. Find missing angles in quadrilaterals II
  13. Interior angles of polygons
  14. Lines, line segments, and rays
  15. Parallel, perpendicular, and intersecting lines
  16. Identify complementary, supplementary, vertical, and adjacent angles
  17. Find measures of complementary, supplementary, vertical, and adjacent angles
  18. Write and solve equations using angle relationships
  19. Identify alternate interior and alternate exterior angles
  20. Transversals of parallel lines: name angle pairs
  21. Transversals of parallel lines: find angle measures
  22. Find lengths and measures of bisected line segments and angles
  23. Parts of a circle
  24. Central angles of circles

X. Three-dimensional figures

  1. Bases of three-dimensional figures
  2. Nets of three-dimensional figures
  3. Front, side, and top view
  4. Cross sections of three-dimensional figures

Y. Geometric measurement

  1. Perimeter
  2. Area of rectangles and parallelograms
  3. Area of triangles and trapezoids
  4. Area and perimeter: word problems
  5. Circumference of circles
  6. Area of circles
  7. Circles: word problems
  8. Area of semicircles and quarter circles
  9. Semicircles: calculate area, perimeter, radius, and diameter
  10. Quarter circles: calculate area, perimeter, and radius
  11. Area of compound figures made of rectangles
  12. Area of compound figures with triangles
  13. Area of compound figures with triangles, semicircles, and quarter circles
  14. Area between two shapes
  15. Surface area of cubes and prisms
  16. Surface area of pyramids
  17. Surface area of cylinders
  18. Volume of cubes and prisms
  19. Volume of cubes and rectangular prisms: word problems
  20. Volume of prisms: advanced
  21. Volume of pyramids
  22. Volume of cylinders

Z. Scaled drawings

  1. Scale drawings of polygons
  2. Scale drawings: word problems
  3. Scale drawings: scale factor word problems
  4. Perimeter and area: changes in scale

AA. Transformations and congruence

  1. Line symmetry
  2. Rotational symmetry
  3. Rotational symmetry: amount of rotation
  4. Identify reflections, rotations, and translations
  5. Describe a sequence of transformations
  6. Translations: graph the image
  7. Translations: find the coordinates
  8. Reflections over the x- and y-axes: graph the image
  9. Reflections over the x- and y-axes: find the coordinates
  10. Reflections: graph the image
  11. Reflections: find the coordinates
  12. Rotations: graph the image
  13. Rotations: find the coordinates
  14. Similar and congruent figures
  15. Congruence statements and corresponding parts
  16. Side lengths and angle measures of congruent figures
  17. Side lengths and angle measures of similar figures
  18. Similar figures and indirect measurement

BB. Pythagorean theorem

  1. Pythagorean theorem: find the length of the hypotenuse
  2. Pythagorean theorem: find the missing leg length
  3. Pythagorean theorem: word problems
  4. Converse of the Pythagorean theorem: is it a right triangle?

CC. Data and graphs

  1. Interpret tables
  2. Interpret line plots
  3. Create line plots
  4. Create and interpret line plots with fractions
  5. Interpret stem-and-leaf plots
  6. Create stem-and-leaf plots
  7. Interpret bar graphs
  8. Create bar graphs
  9. Interpret histograms
  10. Create histograms
  11. Create frequency charts
  12. Interpret circle graphs
  13. Circle graphs and central angles
  14. Interpret line graphs
  15. Create line graphs
  16. Box plots
  17. Identify trends with scatter plots
  18. Make predictions with scatter plots

DD. Statistics

  1. Calculate mean, median, mode, and range
  2. Interpret charts and graphs to find mean, median, mode, and range
  3. Mean, median, mode, and range: find the missing number
  4. Changes in mean, median, mode, and range
  5. Calculate mean absolute deviation
  6. Calculate quartiles and interquartile range
  7. Identify an outlier
  8. Identify representative, random, and biased samples

EE. Probability

  1. Probability of simple events
  2. Probability of simple events and opposite events
  3. Probability of mutually exclusive events and overlapping events
  4. Experimental probability
  5. Make predictions using experimental probability
  6. Use collected data to find probabilities and make predictions
  7. Make predictions using theoretical probability
  8. Compound events: find the number of outcomes
  9. Compound events: find the number of sums
  10. Probability of compound events
  11. Which simulation represents the situation?
  12. Identify independent and dependent events
  13. Probability of independent and dependent events
  14. Find the number of outcomes: word problems