A. Whole numbers

  1. Place values in whole numbers
  2. Writing numbers in words: convert words to digits
  3. Writing numbers in words: convert digits to words
  4. Spell word names for numbers up to one million
  5. Roman numerals
  6. Add and subtract whole numbers
  7. Add and subtract whole numbers: word problems

B. Multiplication

  1. Multiply whole numbers
  2. Multiply whole numbers: word problems
  3. Multiply whole numbers with four or more digits
  4. Multiply numbers ending in zeroes
  5. Multiply numbers ending in zeroes: word problems
  6. Multiply three or more numbers
  7. Multiply three or more numbers: word problems
  8. Estimate products

C. Division

  1. Divisibility rules
  2. Division patterns with zeroes
  3. Divide numbers ending in zeroes: word problems
  4. Estimate quotients
  5. Divide whole numbers – 2-digit divisors
  6. Divide whole numbers – 3-digit divisors

D. Exponents

  1. Write multiplication expressions using exponents
  2. Evaluate exponents
  3. Write powers of ten with exponents
  4. Find the missing exponent or base
  5. Exponents with decimal bases
  6. Exponents with fractional bases

E. Number theory

  1. Convert between standard and scientific notation
  2. Compare numbers written in scientific notation
  3. Prime or composite
  4. Identify factors
  5. Find all the factor pairs of a number
  6. Prime factorization
  7. Prime factorization with exponents
  8. Greatest common factor
  9. Greatest common factor of three or four numbers
  10. Least common multiple
  11. Least common multiple of three or four numbers
  12. GCF and LCM: word problems
  13. Sort factors of numerical expressions
  14. Classify rational numbers using a diagram
  15. Classify numbers

F. Decimals

  1. What decimal number is illustrated?
  2. Decimal place values
  3. Word names for decimal numbers
  4. Put decimal numbers in order
  5. Inequalities with decimals
  6. Round decimals
  7. Round whole numbers and decimals: find the missing digit
  8. Decimal number lines
  9. Repeating decimals

G. Add and subtract decimals

  1. Add and subtract decimal numbers
  2. Add and subtract decimals: word problems
  3. Complete the decimal addition or subtraction sentence
  4. Estimate sums and differences of decimals
  5. Maps with decimal distances

H. Multiply and divide decimals

  1. Estimate products of decimal numbers
  2. Multiply two decimals: where does the decimal point go?
  3. Multiply decimals
  4. Inequalities with decimal multiplication
  5. Divide decimals by whole numbers
  6. Divide decimals by whole numbers: word problems
  7. Multiply and divide decimals by powers of ten
  8. Estimate decimal quotients
  9. Division with decimal quotients
  10. Inequalities with decimal division
  11. Multiply and divide decimals: word problems

I. Fractions and mixed numbers

  1. Fractions on number lines
  2. Understanding fractions: word problems
  3. Equivalent fractions review
  4. Write fractions in lowest terms
  5. Least common denominator
  6. Compare and order fractions
  7. Compare fractions: word problems
  8. Convert between improper fractions and mixed numbers
  9. Convert fractions to decimals
  10. Convert decimals to fractions
  11. Convert between decimals and fractions
  12. Convert between decimals and mixed numbers
  13. Put a mix of decimals and fractions in order
  14. Put a mix of decimals, fractions, and mixed numbers in order
  15. Understand fractions as division: word problems

J. Add and subtract fractions

  1. Add and subtract fractions with like denominators
  2. Add and subtract fractions with like denominators: word problems
  3. Add and subtract fractions with unlike denominators
  4. Add and subtract fractions with unlike denominators: word problems
  5. Inequalities with addition and subtraction of like and unlike fractions
  6. Add and subtract mixed numbers
  7. Add and subtract mixed numbers: word problems
  8. Estimate sums and differences of mixed numbers
  9. Maps with fractional distances

K. Multiply fractions

  1. Multiply fractions by whole numbers I
  2. Multiply fractions by whole numbers II
  3. Multiply fractions by whole numbers: word problems
  4. Estimate products of fractions and whole numbers
  5. Multiply two fractions using models
  6. Multiply two fractions
  7. Multiply fractions: word problems
  8. Scaling whole numbers by fractions: justify your answer
  9. Scaling by fractions and mixed numbers
  10. Multiply three or more fractions and whole numbers
  11. Estimate products of mixed numbers
  12. Multiply mixed numbers and whole numbers
  13. Multiply mixed numbers
  14. Multiply mixed numbers: word problems
  15. Multiply three or more mixed numbers, fractions, and/or whole numbers

L. Divide fractions

  1. Divide whole numbers by unit fractions using models
  2. Reciprocals
  3. Divide whole numbers and unit fractions
    • New! Divide whole numbers and fractions using models
  4. Divide fractions by whole numbers in recipes
  5. Divide fractions using models
  6. Divide fractions
  7. Estimate quotients when dividing mixed numbers
  8. Divide fractions and mixed numbers using models
  9. Divide fractions and mixed numbers
    • New! Divide fractions and mixed numbers using models: word problems
  10. Divide fractions and mixed numbers: word problems

M. Integers

  1. Understanding integers
  2. Integers on number lines
  3. Graph integers on horizontal and vertical number lines
  4. Understanding opposite integers
  5. Understanding absolute value
  6. Absolute value
  7. Compare integers
  8. Put integers in order
  9. Integer inequalities with absolute values
  10. Absolute value and integers: word problems

N. Operations with integers

  1. Add integers using counters
  2. Add integers using number lines
  3. Add integers
  4. Subtract integers using counters
  5. Subtract integers using number lines
  6. Subtract integers
  7. Add and subtract integers: find the sign
  8. Add and subtract integers: word problems
  9. Add and subtract integers: input/output tables
  10. Add three or more integers
  11. Understand multiplying by a negative integer using a number line
  12. Multiply integers: find the sign
  13. Multiply integers
  14. Divide integers: find the sign
  15. Divide integers

O. Mixed operations

  1. Add, subtract, multiply, or divide two whole numbers
  2. Add, subtract, multiply, or divide two whole numbers: word problems
  3. Evaluate numerical expressions one step at a time
  4. Evaluate numerical expressions involving whole numbers
  5. Identify mistakes involving the order of operations
  6. Add, subtract, multiply, or divide two decimals
  7. Add, subtract, multiply, or divide two decimals: word problems
  8. Evaluate numerical expressions involving decimals
  9. Add, subtract, multiply, or divide two fractions
  10. Add, subtract, multiply, or divide two fractions: word problems
  11. Evaluate numerical expressions involving fractions
  12. Add, subtract, multiply, or divide two integers
  13. Evaluate numerical expressions involving integers

P. Rational numbers

  1. Rational numbers on number lines
  2. Rational numbers: equal or not equal
  3. Compare and order rational numbers using number lines
  4. Compare rational numbers
  5. Put rational numbers in order
  6. Compare and order rational numbers: word problems
  7. Opposites of rational numbers
  8. Absolute value of rational numbers
  9. Add and subtract rational numbers
  10. Multiply and divide rational numbers
  11. Rational numbers: find the sign

Q. Problem solving and estimation

  1. Estimate to solve word problems
  2. Multi-step word problems
  3. Multi-step word problems: identify reasonable answers
  4. Word problems with extra or missing information
  5. Guess-and-check word problems
  6. Distance/direction to starting point
  7. Use logical reasoning to find the order

R. Ratios and rates

  1. Write a ratio
  2. Write a ratio using a fraction
  3. Write a ratio: word problems
  4. Which model represents the ratio?
  5. Identify equivalent ratios
  6. Write an equivalent ratio
  7. Ratio tables
  8. Equivalent ratios: word problems
  9. Unit rates
  10. Equivalent rates
  11. Ratios and rates: complete a table and make a graph
  12. Use tape diagrams to solve ratio word problems
  13. Compare ratios: word problems
  14. Compare rates: word problems
  15. Ratios and rates: word problems
  16. Do the ratios form a proportion?
  17. Solve the proportion
  18. Identify proportional relationships from graphs
  19. Identify proportional relationships from tables
  20. Identify proportional relationships by graphing
  21. Interpret graphs of proportional relationships
  22. Scale drawings: word problems

S. Percents

  1. What percentage is illustrated?
  2. Understanding percents: strip models
  3. Convert fractions to percents using grid models
  4. Convert between percents, fractions, and decimals
  5. Convert between percents, fractions, and decimals: word problems
  6. Compare percents to each other and to fractions
  7. Compare percents and fractions: word problems
  8. Estimate percents of numbers
  9. Solve percent problems using grid models
  10. Solve percent problems using strip models
  11. Percents of numbers and money amounts
  12. Percents of numbers: word problems
  13. Percents of numbers: fractional and decimal percents
  14. Find what percent one number is of another
  15. Find what percent one number is of another: word problems
  16. Find the total given a part and a percent
  17. Solve percent problems
  18. Solve percent word problems

T. Units of measurement

  1. Estimate customary measurements
  2. Estimate metric measurements
  3. Convert and compare customary units
  4. Convert, compare, add, and subtract mixed customary units
  5. Multiply and divide mixed customary units
  6. Customary unit conversions involving fractions and mixed numbers
  7. Convert and compare metric units
  8. Convert customary and metric units using proportions
  9. Convert between customary and metric systems
  10. Compare temperatures above and below zero
  11. Convert between Celsius and Fahrenheit

U. Money

  1. Find the number of each type of coin
  2. Add and subtract money amounts
  3. Add and subtract money amounts: word problems
  4. Multiply money by whole numbers and decimals
  5. Multiply money: word problems
  6. Divide money amounts
  7. Divide money amounts: word problems

V. Consumer math

  1. Which is the better coupon?
  2. Unit prices
  3. Unit prices with fractions and decimals
  4. Unit prices with customary unit conversions
  5. Sale prices
  6. Sale prices: find the original price
  7. Percents – calculate tax, tip, mark-up, and more
  8. Simple interest

W. Time

  1. Elapsed time
  2. Time units
  3. Find start and end times

X. Coordinate plane

  1. Describe the coordinate plane
  2. Objects on a coordinate plane
  3. Graph points on a coordinate plane
  4. Quadrants
  5. Reflect a point over an axis
  6. Coordinate planes as maps
  7. Distance between two points
  8. Follow directions on a coordinate plane
  9. Area and perimeter of squares and rectangles on the coordinate plane

Y. Expressions and properties

  1. Write variable expressions: one operation
  2. Write variable expressions: two operations
  3. Write variable expressions: word problems
  4. Evaluate variable expressions with whole numbers
  5. Evaluate multi-variable expressions
  6. Evaluate variable expressions with decimals, fractions, and mixed numbers
  7. Evaluate variable expressions: word problems
  8. Identify terms and coefficients
  9. Sort factors of variable expressions
  10. Identify equivalent expressions using strip models
  11. Properties of addition
  12. Properties of multiplication
  13. Multiply using the distributive property: area models
  14. Multiply using the distributive property
  15. Factor numerical expressions using the distributive property
  16. Factor variable expressions: area models
  17. Factor variable expressions using the distributive property
  18. Solve for a variable using properties of multiplication
  19. Write equivalent expressions using properties
  20. Add and subtract like terms
  21. Identify equivalent expressions I
  22. Identify equivalent expressions II

Z. One-variable equations

  1. Does x satisfy an equation?
  2. Which x satisfies an equation?
  3. Write an equation from words
  4. Identify expressions and equations
  5. Model and solve equations using algebra tiles
  6. Model and solve equations using diagrams
  7. Write and solve equations that represent diagrams
  8. Solve one-step addition and subtraction equations with whole numbers
  9. Solve one-step multiplication and division equations with whole numbers
  10. Solve one-step equations with whole numbers
  11. Solve one-step addition and subtraction equations with decimals and fractions
  12. Solve one-step multiplication and division equations with decimals and fractions
  13. Solve one-step addition and subtraction equations: word problems
  14. Solve one-step multiplication and division equations: word problems
  15. Write a one-step equation: word problems
  16. Solve one-step equations: word problems
  17. Which word problem matches the one-step equation?
  18. Solve one-step equations involving integers
  19. Solve equations involving like terms
  20. Solve two-step equations

AA. One-variable inequalities

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

BB. Two-variable equations

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

CC. Two-dimensional figures

  1. Identify and classify polygons
  2. Measure and classify angles
  3. Estimate angle measurements
  4. Classify triangles
  5. Triangle inequality
  6. Identify trapezoids
  7. Classify quadrilaterals
  8. Graph triangles and quadrilaterals
  9. Find missing angles in triangles
  10. Find missing angles in special triangles
  11. Find missing angles in quadrilaterals
  12. Sums of angles in polygons
  13. Lines, line segments, and rays
  14. Name angles
  15. Complementary and supplementary angles
  16. Identify complementary, supplementary, vertical, adjacent, and congruent angles
  17. Find measures of complementary, supplementary, vertical, and adjacent angles

DD. Symmetry and transformations

  1. Line symmetry
  2. Rotational symmetry
  3. Rotational symmetry: amount of rotation
  4. Reflection, rotation, and translation
  5. Similar and congruent figures
  6. Find side lengths of similar figures

EE. Three-dimensional figures

  1. Identify polyhedra
  2. Which figure is being described?
  3. Nets of three-dimensional figures
  4. Front, side, and top view

FF. Geometric measurement

  1. Perimeter
  2. Area of rectangles and squares
  3. Understanding area of a parallelogram
  4. Area of parallelograms
  5. Understanding area of a triangle
  6. Area of triangles
  7. Understanding area of a trapezoid
  8. Area of trapezoids
  9. Area of rhombuses
  10. Area of quadrilaterals
  11. Area of compound figures
  12. Area of compound figures with triangles
  13. Area between two rectangles
  14. Area between two triangles
  15. Rectangles: relationship between perimeter and area
  16. Compare area and perimeter of two figures
  17. Area of quadrilaterals and triangles: word problems
  18. Volume of cubes and rectangular prisms
  19. Volume of cubes and rectangular prisms with fractional side lengths
  20. Volume of cubes and rectangular prisms: word problems
  21. Surface area of cubes and rectangular prisms
  22. Volume of triangular prisms
  23. Surface area of triangular prisms
  24. Surface area of pyramids
  25. Relate volume and surface area

GG. Data and graphs

  1. Interpret pictographs
  2. Create pictographs
  3. Interpret line plots
  4. Create line plots
  5. Create and interpret line plots with fractions
  6. Create frequency charts
  7. Interpret categorical data
  8. Create relative frequency tables
  9. Interpret bar graphs
  10. Create bar graphs
  11. Create percent bar graphs
  12. Interpret double bar graphs
  13. Create double bar graphs
  14. Interpret histograms
  15. Create histograms
  16. Interpret circle graphs
  17. Interpret line graphs
  18. Create line graphs
  19. Interpret double line graphs
  20. Create double line graphs
  21. Interpret stem-and-leaf plots
  22. Create stem-and-leaf plots
  23. Box plots

HH. Statistics

  1. Identify statistical questions
  2. Calculate mean, median, mode, and range
  3. Interpret charts and graphs to find mean, median, mode, and range
  4. Mean, median, mode, and range: find the missing number
  5. Changes in mean, median, mode, and range
  6. Calculate mean absolute deviation
  7. Calculate quartiles and interquartile range
  8. Identify an outlier
  9. Identify an outlier and describe the effect of removing it
  10. Interpret measures of center and variability
  11. Describe distributions in line plots
  12. Identify representative, random, and biased samples

II. Probability

  1. Counting principle
  2. Probability of one event
  3. Make predictions
  4. Probability of simple events and opposite events

JJ. Financial literacy

  1. Compare checking accounts
  2. Check registers
  3. Debit cards and credit cards
  4. Credit reports
  5. Paying for college
  6. Occupations, education, and income