## Whole numbers

- A.1Place values in whole numbers
- A.2Choose word names for numbers
- A.3Write word names for numbers
- A.4Roman numerals
- A.5Add and subtract whole numbers
- A.6Add and subtract whole numbers: word problems

## Multiplication

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

## Division

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

## Exponents and square roots

- D.1Write multiplication expressions using exponents
- D.2Evaluate exponents
- D.3Find the missing exponent or base
- D.4Exponents with decimal bases
- D.5Exponents with fractional bases
- D.6Understanding negative exponents
- D.7Evaluate negative exponents
- D.8Advanced exponents
- D.9Half-life and population doubling
- D.10Square roots of perfect squares
- D.11Estimate square roots

## Number theory

- E.1Convert between standard and scientific notation
- E.2Compare numbers written in scientific notation
- E.3Prime or composite
- E.4Identify factors
- E.5Prime factorization
- E.6Prime factorization with exponents
- E.7Greatest common factor
- E.8Least common multiple
- E.9GCF and LCM: word problems

## Decimals

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

## Add and subtract decimals

- G.1Add and subtract decimal numbers
- G.2Add and subtract decimals: word problems
- G.3Estimate sums and differences of decimals
- G.4Maps with decimal distances

## Multiply and divide decimals

- H.1Estimate products of decimal numbers
- H.2Multiply decimals
- H.3Inequalities with decimal multiplication
- H.4Divide decimals by whole numbers
- H.5Divide decimals by whole numbers: word problems
- H.6Multiply and divide decimals by powers of ten
- H.7Division with decimal quotients
- H.8Inequalities with decimal division

## Fractions and mixed numbers

- I.1Fractions and mixed numbers review
- I.2Understanding fractions: word problems
- I.3Equivalent fractions review
- I.4Write fractions in lowest terms
- I.5Fractions: word problems
- I.6Least common denominator
- I.7Compare fractions with like and unlike denominators
- I.8Compare fractions: word problems
- I.9Convert between improper fractions and mixed numbers
- I.10Convert between decimals and fractions or mixed numbers
- I.11Put a mix of decimals, fractions, and mixed numbers in order

## Add and subtract fractions

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

## Multiply fractions

- K.1Fractions of whole numbers I
- K.2Fractions of whole numbers II
- K.3Fractions of a number: word problems
- K.4Estimate products of fractions and whole numbers
- K.5Multiply two fractions using models
- K.6Multiply two fractions
- K.7Multiply fractions: word problems
- K.8Multiply three or more fractions and whole numbers
- K.9Estimate products of fractions, whole numbers, and mixed numbers
- K.10Multiply mixed numbers and whole numbers
- K.11Multiply mixed numbers
- K.12Multiply mixed numbers: word problems
- K.13Multiply three or more mixed numbers, fractions, and/or whole numbers

## Divide fractions

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

## Integers

## Operations with integers

- N.1Add integers using counters
- N.2Add integers
- N.3Subtract integers using counters
- N.4Subtract integers
- N.5Add and subtract integers: find the sign
- N.6Add and subtract integers: input/output tables
- N.7Add three or more integers
- N.8Multiply integers: find the sign
- N.9Multiply integers
- N.10Divide integers: find the sign
- N.11Divide integers

## Mixed operations

- O.1Add, subtract, multiply, or divide two whole numbers
- O.2Add, subtract, multiply, or divide two whole numbers: word problems
- O.3Evaluate numerical expressions involving whole numbers
- O.4Add, subtract, multiply, or divide two decimals
- O.5Add, subtract, multiply, or divide two decimals: word problems
- O.6Evaluate numerical expressions involving decimals
- O.7Add, subtract, multiply, or divide two fractions
- O.8Add, subtract, multiply, or divide two fractions: word problems
- O.9Evaluate numerical expressions involving fractions
- O.10Add, subtract, multiply, or divide two integers
- O.11Evaluate numerical expressions involving integers

## Rational numbers

- P.1Compare rational numbers
- P.2Put rational numbers in order
- P.3Absolute value of rational numbers
- P.4Add and subtract rational numbers
- P.5Multiply and divide rational numbers
- P.6Rational numbers: find the sign

## Problem solving and estimation

- Q.1Estimate to solve word problems
- Q.2Word problems with multiple steps or extra or missing information
- Q.3Guess-and-check word problems
- Q.4Distance/direction to starting point
- Q.5Use logical reasoning to find the order

## Ratios and rates

- R.1Write a ratio to describe objects in a picture
- R.2Write a ratio: word problems
- R.3Identify equivalent ratios
- R.4Write an equivalent ratio
- R.5Ratio tables
- R.6Equivalent ratios: word problems
- R.7Unit rates and equivalent rates
- R.8Compare ratios: word problems
- R.9Unit rates: word problems
- R.10Do the ratios form a proportion?
- R.11Solve the proportion
- R.12Scale drawings: word problems

## Percents

- S.1Convert between percents, fractions, and decimals
- S.2Compare percents to each other and to fractions
- S.3Compare percents and fractions: word problems
- S.4Percents of numbers and money amounts
- S.5Percents of numbers: word problems
- S.6Percents of numbers - with fractional and decimal percents
- S.7Find what percent one number is of another
- S.8Find what percent one number is of another: word problems
- S.9Find the total given a part and a percent

## Units of measurement

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

## Money

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

## Consumer math

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

## Time

## Coordinate plane

- X.1Objects on a coordinate plane
- X.2Graph points on a coordinate plane
- X.3Quadrants
- X.4Coordinate planes as maps
- X.5Distance between two points
- X.6Follow directions on a coordinate plane

## Expressions and properties

- Y.1Write variable expressions
- Y.2Write variable expressions: word problems
- Y.3Evaluate variable expressions with whole numbers
- Y.4Evaluate multi-variable expressions
- Y.5Evaluate variable expressions with decimals, fractions, and mixed numbers
- Y.6Identify terms and coefficients
- Y.7Sort factors of expressions
- Y.8Properties of addition
- Y.9Properties of multiplication
- Y.10Multiply using the distributive property
- Y.11Factor using the distributive property
- Y.12Solve for a variable using properties of multiplication
- Y.13Write equivalent expressions using properties
- Y.14Add and subtract like terms
- Y.15Identify equivalent expressions

## One-variable equations

- Z.1Does x satisfy an equation?
- Z.2Which x satisfies an equation?
- Z.3Write an equation from words
- Z.4Model and solve equations using algebra tiles
- Z.5Write and solve equations that represent diagrams
- Z.6Solve one-step equations with whole numbers
- Z.7Solve one-step equations with decimals, fractions, and mixed numbers
- Z.8Solve one-step equations: word problems
- Z.9Solve two-step equations
- Z.10Solve equations involving like terms
- Z.11Solve equations involving integers

## One-variable inequalities

- AA.1Solutions to inequalities
- AA.2Graph inequalities on number lines
- AA.3Write inequalities from number lines
- AA.4Solve one-step inequalities
- AA.5Graph solutions to one-step inequalities

## Two-variable equations

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

## Two-dimensional figures

- CC.1Identify and classify polygons
- CC.2Measure and classify angles
- CC.3Estimate angle measurements
- CC.4Classify triangles
- CC.5Identify trapezoids
- CC.6Classify quadrilaterals
- CC.7Graph triangles and quadrilaterals
- CC.8Find missing angles in triangles
- CC.9Find missing angles in quadrilaterals
- CC.10Sums of angles in polygons
- CC.11Lines, line segments, and rays
- CC.12Name angles
- CC.13Complementary and supplementary angles
- CC.14Transversal of parallel lines
- CC.15Find lengths and measures of bisected lines and angles
- CC.16Parts of a circle
- CC.17Central angles of circles

## Symmetry and transformations

- DD.1Symmetry
- DD.2Reflection, rotation, and translation
- DD.3Translations: graph the image
- DD.4Reflections: graph the image
- DD.5Rotations: graph the image
- DD.6Similar and congruent figures
- DD.7Find side lengths of similar figures

## Three-dimensional figures

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

## Geometric measurement

- FF.1Perimeter
- FF.2Area of rectangles and squares
- FF.3Area of triangles
- FF.4Area of parallelograms and trapezoids
- FF.5Area of quadrilaterals
- FF.6Area of compound figures
- FF.7Area between two rectangles
- FF.8Area between two triangles
- FF.9Rectangles: relationship between perimeter and area
- FF.10Compare area and perimeter of two figures
- FF.11Circles: calculate area, circumference, radius, and diameter
- FF.12Circles: word problems
- FF.13Area between two circles
- FF.14Volume of cubes and rectangular prisms
- FF.15Surface area of cubes and rectangular prisms
- FF.16Volume and surface area of triangular prisms
- FF.17Volume and surface area of cylinders
- FF.18Relate volume and surface area
- FF.19Semicircles: calculate area, perimeter, radius, and diameter
- FF.20Quarter circles: calculate area, perimeter, and radius
- FF.21Area of compound figures with triangles, semicircles, and quarter circles

## Data and graphs

- GG.1Interpret pictographs
- GG.2Create pictographs
- GG.3Interpret line plots
- GG.4Create line plots
- GG.5Create and interpret line plots with fractions
- GG.6Create frequency tables
- GG.7Interpret bar graphs
- GG.8Create bar graphs
- GG.9Interpret double bar graphs
- GG.10Create double bar graphs
- GG.11Interpret histograms
- GG.12Create histograms
- GG.13Circle graphs with fractions
- GG.14Interpret line graphs
- GG.15Create line graphs
- GG.16Interpret double line graphs
- GG.17Create double line graphs
- GG.18Stem-and-leaf plots
- GG.19Interpret box-and-whisker plots
- GG.20Choose the best type of graph

## Statistics

- HH.1Calculate mean, median, mode, and range
- HH.2Interpret charts to find mean, median, mode, and range
- HH.3Mean, median, mode, and range: find the missing number
- HH.4Calculate mean absolute deviation
- HH.5Identify representative, random, and biased samples

## Probability

- II.1Counting principle
- II.2Probability of one event
- II.3Make predictions
- II.4Probability of opposite, mutually exclusive, and overlapping events
- II.5Compound events - find the number of outcomes by counting
- II.6Identify dependent and independent events
- II.7Probability of dependent and independent events
- II.8Factorials
- II.9Permutations