# Grade 7 math

Here is a list of all of the math skills students learn in grade 7! These skills are organized into categories, and you can move your mouse over any skill name to view a sample question. To start practising, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

## Number theory

## Integers

## 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.1Equivalent fractions
- F.2Simplify fractions
- F.3Understanding fractions: word problems
- F.4Least common denominator
- F.5Compare and order fractions
- F.6Compare fractions using benchmarks
- F.7Compare fractions: word problems
- F.8Convert between mixed numbers and improper fractions
- F.9Compare mixed numbers and improper fractions
- F.10Round mixed numbers
- F.11Put 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

## 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

## Ratios, rates and proportions

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

## Proportional relationships

- M.1Find the constant of proportionality from a table
- M.2Identify graphs of proportional relationships
- M.3Find the constant of proportionality from a graph
- M.4Write equations for proportional relationships
- M.5Graph proportional relationships
- M.6Identify proportional relationships
- M.7Find the constant of proportionality: word problems
- M.8Solve problems involving 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

## Units of measurement

## Coordinate plane

## Number 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.8Properties of addition and multiplication
- T.9Distributive property
- T.10Solve equations using properties
- T.11Write equivalent expressions using properties
- T.12Add and subtract like terms
- T.13Add, subtract, and multiply linear expressions
- T.14Factor linear expressions
- T.15Identify equivalent linear expressions

## One-variable equations

## 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.4Classify quadrilaterals
- W.5Find missing angles in triangles and quadrilaterals
- W.6Interior angles of polygons
- W.7Lines, line segments and rays
- W.8Parallel, perpendicular and intersecting lines
- W.9Identify complementary, supplementary, vertical, adjacent and congruent angles
- W.10Find measures of complementary, supplementary, vertical and adjacent angles
- W.11Transversal of parallel lines
- W.12Find lengths and measures of bisected lines and angles
- W.13Parts 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

## Three-dimensional figures

## 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