## Number theory

- A.1Prime or composite
- A.2Prime factorization
- A.3Multiplicative inverses
- A.4Divisibility rules
- A.5Greatest common factor
- A.6Least common multiple
- A.7GCF and LCM: word problems
- A.8Scientific notation
- A.9Compare numbers written in scientific notation
- A.10Classify numbers

## Integers

- B.1Understanding integers
- B.2Integers on number lines
- B.3Graph integers on horizontal and vertical number lines
- B.4Absolute value and opposite integers
- B.5Compare and order integers
- B.6Integer inequalities with absolute values

## Operations with integers

- C.1Integer addition and subtraction rules
- C.2Add and subtract integers using counters
- C.3Add and subtract integers
- C.4Complete addition and subtraction sentences with integers
- C.5Add and subtract integers: word problems
- C.6Integer multiplication and division rules
- C.7Multiply and divide integers
- C.8Complete multiplication and division sentences with integers
- C.9Evaluate numerical expressions involving integers

## Decimals

## Operations with decimals

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

## Fractions and mixed numbers

- F.1Understanding fractions: word problems
- F.2Equivalent fractions
- F.3Write fractions in lowest terms
- F.4Fractions: word problems with graphs and tables
- F.5Least common denominator
- F.6Compare and order fractions
- F.7Compare fractions using benchmarks
- F.8Compare fractions: word problems
- F.9Convert between mixed numbers and improper fractions
- F.10Compare mixed numbers and improper fractions
- F.11Round mixed numbers
- F.12Put a mix of decimals, fractions and mixed numbers in order

## Add and subtract fractions

- G.1Add and subtract fractions with like denominators
- G.2Add and subtract fractions with like denominators: word problems
- G.3Add fractions with unlike denominators using models
- G.4Subtract fractions with unlike denominators using models
- G.5Add fractions with unlike denominators
- G.6Subtract fractions with unlike denominators
- G.7Add and subtract fractions with unlike denominators: word problems
- G.8Add and subtract mixed numbers
- G.9Add and subtract mixed numbers: word problems
- G.10Inequalities with addition and subtraction of fractions and mixed numbers
- G.11Estimate sums and differences of mixed numbers

## Multiply fractions

- H.1Multiply unit fractions by whole numbers using number lines
- H.2Multiply unit fractions by whole numbers using models
- H.3Multiply fractions by whole numbers using number lines
- H.4Multiply fractions by whole numbers using models
- H.5Multiply fractions and whole numbers
- H.6Multiply fractions and whole numbers: word problems
- H.7Multiply two fractions using models
- H.8Multiply fractions
- H.9Multiply fractions: word problems
- H.10Multiply three or more fractions and whole numbers

## Divide fractions

- I.1Divide whole numbers by unit fractions using models
- I.2Reciprocals
- I.3Divide whole numbers and unit fractions
- I.4Divide whole numbers by fractions
- I.5Divide fractions
- I.6Divide fractions: word problems

## Rational numbers

- J.1Identify rational numbers
- J.2Convert between decimals and fractions or mixed numbers
- J.3Absolute value of rational numbers
- J.4Compare rational numbers
- J.5Put rational numbers in order
- J.6Add and subtract rational numbers
- J.7Apply addition and subtraction rules
- J.8Multiply and divide rational numbers
- J.9Apply multiplication and division rules
- J.10Estimate products and quotients of rational numbers
- J.11Add, subtract, multiply and divide rational numbers: word problems
- J.12Evaluate numerical expressions involving fractions

## Exponents and square roots

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

## Ratios, rates and proportions

- L.1Understanding ratios
- L.2Identify equivalent ratios
- L.3Write an equivalent ratio
- L.4Equivalent ratios: word problems
- L.5Unit rates
- L.6Compare ratios: word problems
- L.7Scale drawings: word problems
- L.8Do the ratios form a proportion?
- L.9Do the ratios form a proportion: word problems
- L.10Solve proportions
- L.11Solve proportions: word problems
- L.12Estimate population size using proportions
- L.13Rate of change
- L.14Constant rate of change

## Proportional relationships

- M.1Find the constant of proportionality from a table
- M.2Write equations for proportional relationships from tables
- M.3Identify proportional relationships by graphing
- M.4Find the constant of proportionality from a graph
- M.5Write equations for proportional relationships from graphs
- M.6Identify proportional relationships
- M.7Interpret graphs of proportional relationships
- M.8Write and solve equations for proportional relationships

## Percents

- N.1What percentage is illustrated?
- N.2Convert between percents, fractions and decimals
- N.3Compare percents to fractions and decimals
- N.4Estimate percents of numbers
- N.5Percents of numbers and money amounts
- N.6Percents of numbers: word problems
- N.7Solve percent equations
- N.8Solve percent equations: word problems

## Consumer math

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

## Problem solving and estimation

- P.1Estimate to solve word problems
- P.2Multi-step word problems
- P.3Guess-and-check word problems
- P.4Use Venn diagrams to solve problems
- P.5Find the number of each type of coin
- P.6Elapsed time word problems

## Units of measurement

- Q.1Estimate metric measurements
- Q.2Compare and convert metric units
- Q.3Metric mixed units
- Q.4Convert square and cubic units of length
- Q.5Convert between cubic metres and litres
- Q.6Precision

## Coordinate plane

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

## Number sequences

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

## Expressions and properties

- T.1Write variable expressions
- T.2Write variable expressions: word problems
- T.3Evaluate linear expressions
- T.4Evaluate multi-variable expressions
- T.5Evaluate absolute value expressions
- T.6Evaluate nonlinear expressions
- T.7Identify terms and coefficients
- T.8Sort factors of expressions
- T.9Properties of addition and multiplication
- T.10Multiply using the distributive property
- T.11Solve equations using properties
- T.12Write equivalent expressions using properties
- T.13Add and subtract like terms
- T.14Add, subtract and multiply linear expressions
- T.15Factors of linear expressions
- T.16Identify equivalent linear expressions

## One-variable equations

- U.1Which x satisfies an equation?
- U.2Write an equation from words
- U.3Model and solve equations using algebra tiles
- U.4Write and solve equations that represent diagrams
- U.5Solve one-step equations
- U.6Solve two-step equations
- U.7Solve equations: word problems
- U.8Solve equations involving like terms
- U.9Solve equations: complete the solution

## Two-variable equations

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

## Two-dimensional figures

- W.1Identify and classify polygons
- W.2Name, measure and classify angles
- W.3Classify triangles
- W.4Identify trapezoids
- W.5Classify quadrilaterals
- W.6Graph triangles and quadrilaterals
- W.7Find missing angles in triangles and quadrilaterals
- W.8Interior angles of polygons
- W.9Lines, line segments and rays
- W.10Parallel, perpendicular and intersecting lines
- W.11Identify complementary, supplementary, vertical, adjacent and congruent angles
- W.12Find measures of complementary, supplementary, vertical and adjacent angles
- W.13Transversal of parallel lines
- W.14Find lengths and measures of bisected line segments and angles
- W.15Parts of a circle

## Transformations and congruence

- X.1Symmetry
- X.2Identify reflections, rotations and translations
- X.3Translations: graph the image
- X.4Translations: find the coordinates
- X.5Reflections: graph the image
- X.6Reflections: find the coordinates
- X.7Rotations: graph the image
- X.8Rotations: find the coordinates
- X.9Similar and congruent figures
- X.10Side lengths and angle measures of congruent figures
- X.11Congruence statements and corresponding parts
- X.12Side lengths and angle measures of similar figures
- X.13Similar figures and indirect measurement

## Constructions

- Y.1Construct the midpoint or perpendicular bisector of a segment
- Y.2Construct an angle bisector
- Y.3Construct a congruent angle
- Y.4Construct a perpendicular line
- Y.5Construct parallel lines
- Y.6Construct an equilateral triangle or regular hexagon

## Three-dimensional figures

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

## Geometric measurement

- AA.1Perimeter
- AA.2Area of rectangles and parallelograms
- AA.3Area of triangles and trapezoids
- AA.4Area with mixed numbers
- AA.5Area and perimeter: word problems
- AA.6Circles: calculate area, circumference, radius and diameter
- AA.7Circles: word problems
- AA.8Semicircles: calculate area, perimeter, radius and diameter
- AA.9Quarter circles: calculate area, perimeter and radius
- AA.10Area of compound figures with triangles, semicircles and quarter circles
- AA.11Area between two shapes
- AA.12Volume
- AA.13Surface area
- AA.14Perimeter, area and volume: changes in scale

## Data and graphs

- BB.1Interpret tables
- BB.2Interpret line plots
- BB.3Create line plots
- BB.4Interpret stem-and-leaf plots
- BB.5Interpret bar graphs
- BB.6Create bar graphs
- BB.7Interpret histograms
- BB.8Create histograms
- BB.9Create frequency charts
- BB.10Interpret circle graphs
- BB.11Circle graphs and central angles
- BB.12Interpret line graphs
- BB.13Create line graphs
- BB.14Interpret box-and-whisker plots
- BB.15Scatter plots
- BB.16Choose the best type of graph

## Statistics

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

## Probability

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