Grade 7 Math
CONTENTS


Number theory

Prime or composite
Prime factorization
Multiplicative inverses
Divisibility rules
Greatest common factor
Least common multiple
GCF and LCM: word problems
Scientific notation
Compare numbers written in scientific notation
Classify numbers
Integers

Understanding integers
Integers on number lines
Graph integers on horizontal and vertical number lines
Absolute value and opposite integers
Compare and order integers
Integer inequalities with absolute values
Operations with integers

Integer addition and subtraction rules
Add and subtract integers using counters
Add and subtract integers
Complete addition and subtraction sentences with integers
Add and subtract integers: word problems
Integer multiplication and division rules
Multiply and divide integers
Complete multiplication and division sentences with integers
Evaluate numerical expressions involving integers
Decimals

Decimal numbers review
Compare and order decimals
Decimal number lines
Round decimals
II
Operations with decimals

Add and subtract decimals
Add and subtract decimals: word problems
Multiply decimals
Multiply decimals and whole numbers: word problems
Divide decimals
Divide decimals by whole numbers: word problems
Estimate sums, differences and products of decimals
Add, subtract, multiply and divide decimals: word problems
Multi-step inequalities with decimals
Maps with decimal distances
Evaluate numerical expressions involving decimals
Fractions and mixed numbers

Understanding fractions: word problems
Equivalent fractions
Write fractions in lowest terms
Fractions: word problems with graphs and tables
Least common denominator
Compare and order fractions
Compare fractions using benchmarks
Compare fractions: word problems
Convert between mixed numbers and improper fractions
Compare mixed numbers and improper fractions
Round mixed numbers
Put a mix of decimals, fractions and mixed numbers in order
Add and subtract fractions

Add and subtract fractions with like denominators
Add and subtract fractions with like denominators: word problems
Add fractions with unlike denominators using models
Subtract fractions with unlike denominators using models
Add fractions with unlike denominators
Subtract fractions with unlike denominators
Add and subtract fractions with unlike denominators: word problems
Add and subtract mixed numbers
Add and subtract mixed numbers: word problems
Inequalities with addition and subtraction of fractions and mixed numbers
Estimate sums and differences of mixed numbers
Multiply fractions

Multiply unit fractions by whole numbers using number lines
Multiply unit fractions by whole numbers using models
Multiply fractions by whole numbers using number lines
Multiply fractions by whole numbers using models
Multiply fractions and whole numbers
Multiply fractions and whole numbers: word problems
Multiply two fractions using models
Multiply fractions
Multiply fractions: word problems
Multiply three or more fractions and whole numbers
Divide fractions

Divide whole numbers by unit fractions using models
Reciprocals
Divide whole numbers and unit fractions
Divide whole numbers by fractions
Divide fractions
Divide fractions: word problems
Rational numbers

Identify rational numbers
Convert between decimals and fractions or mixed numbers
Absolute value of rational numbers
Compare rational numbers
Put rational numbers in order
Add and subtract rational numbers
Apply addition and subtraction rules
Multiply and divide rational numbers
Apply multiplication and division rules
Estimate products and quotients of rational numbers
Add, subtract, multiply and divide rational numbers: word problems
Evaluate numerical expressions involving fractions
Exponents and square roots

Understanding exponents
Evaluate exponents
Solve equations with variable exponents
Exponents with negative bases
Exponents with decimal and fractional bases
Evaluate numerical expressions involving exponents
Square roots of perfect squares
Estimate square roots
Ratios, rates and proportions

Understanding ratios
Identify equivalent ratios
Write an equivalent ratio
Equivalent ratios: word problems
Unit rates
Compare ratios: word problems
Scale drawings: word problems
Do the ratios form a proportion?
Do the ratios form a proportion: word problems
Solve proportions
Solve proportions: word problems
Estimate population size using proportions
Rate of change
Constant rate of change
Proportional relationships

Find the constant of proportionality from a table
Write equations for proportional relationships from tables
Identify proportional relationships by graphing
Find the constant of proportionality from a graph
Write equations for proportional relationships from graphs
Identify proportional relationships
Interpret graphs of proportional relationships
Write and solve equations for proportional relationships
Percents

What percentage is illustrated?
Convert between percents, fractions and decimals
Compare percents to fractions and decimals
Estimate percents of numbers
Percents of numbers and money amounts
Percents of numbers: word problems
Solve percent equations
Solve percent equations: word problems
Consumer math

Add, subtract, multiply and divide money amounts: word problems
Price lists
Unit prices
Unit prices: find the total price
Percent of a number: tax, discount and more
Find the percent: tax, discount and more
Sale prices: find the original price
Multi-step problems with percents
Estimate tips
Simple interest
Compound interest
Problem solving and estimation

Estimate to solve word problems
Multi-step word problems
Guess-and-check word problems
Use Venn diagrams to solve problems
Find the number of each type of coin
Elapsed time word problems
Units of measurement

Estimate metric measurements
Compare and convert metric units
Metric mixed units
Convert square and cubic units of length
Convert between cubic metres and litres
Precision
Coordinate plane

Coordinate plane review
Quadrants and axes
Follow directions on a coordinate plane
Distance between two points
Number sequences

Identify arithmetic and geometric sequences
Arithmetic sequences
Geometric sequences
Number sequences: mixed review
Number sequences: word problems
Evaluate variable expressions for number sequences
Write variable expressions for arithmetic sequences
Expressions and properties

Write variable expressions
Write variable expressions: word problems
Evaluate linear expressions
Evaluate multi-variable expressions
Evaluate absolute value expressions
Evaluate nonlinear expressions
Identify terms and coefficients
Sort factors of expressions
Properties of addition and multiplication
Multiply using the distributive property
Solve equations using properties
Write equivalent expressions using properties
Add and subtract like terms
Add, subtract and multiply linear expressions
Factors of linear expressions
Identify equivalent linear expressions
One-variable equations

Which x satisfies an equation?
Write an equation from words
Model and solve equations using algebra tiles
Write and solve equations that represent diagrams
Solve one-step equations
Solve two-step equations
Solve equations: word problems
Solve equations involving like terms
Solve equations: complete the solution
Two-variable equations

Does (x, y) satisfy the equation?
Identify independent and dependent variables
Solve word problems involving two-variable equations
Complete a table for a two-variable relationship
Write a two-variable equation
Identify the graph of an equation
Graph a two-variable equation
Interpret a graph: word problems
Write an equation from a graph using a table
Two-dimensional figures

Identify and classify polygons
Name, measure and classify angles
Classify triangles
Identify trapezoids
Classify quadrilaterals
Graph triangles and quadrilaterals
Find missing angles in triangles and quadrilaterals
Interior angles of polygons
Lines, line segments and rays
Parallel, perpendicular and intersecting lines
Identify complementary, supplementary, vertical, adjacent and congruent angles
Find measures of complementary, supplementary, vertical and adjacent angles
Transversal of parallel lines
Find lengths and measures of bisected line segments and angles
Parts of a circle
Transformations and congruence

Symmetry
Identify reflections, rotations and translations
Translations: graph the image
Translations: find the coordinates
Reflections: graph the image
Reflections: find the coordinates
Rotations: graph the image
Rotations: find the coordinates
Similar and congruent figures
Side lengths and angle measures of congruent figures
Congruence statements and corresponding parts
Side lengths and angle measures of similar figures
Similar figures and indirect measurement
Constructions

Construct the midpoint or perpendicular bisector of a segment
Construct an angle bisector
Construct a congruent angle
Construct a perpendicular line
Construct parallel lines
Construct an equilateral triangle or regular hexagon
Three-dimensional figures

Bases of three-dimensional figures
Nets of three-dimensional figures
Front, side and top view
Geometric measurement

Perimeter
Area of rectangles and parallelograms
Area of triangles
Area of trapezoids
Area with mixed numbers
Area and perimeter: word problems
Circles: calculate area, circumference, radius and diameter
Circles: word problems
Semicircles: calculate area, perimeter, radius and diameter
Quarter circles: calculate area, perimeter and radius
Area of compound figures with triangles, semicircles and quarter circles
Area between two shapes
Surface area
Perimeter, area and volume: changes in scale
Data and graphs

Construct the midpoint or perpendicular bisector of a segment
Construct an angle bisector
Construct a congruent angle
Construct a perpendicular line
Construct parallel lines
Construct an equilateral triangle or regular hexagon
Statistics

Calculate mean, median, mode and range
Interpret charts to find mean, median, mode and range
Mean, median, mode and range: find the missing number
Changes in mean, median, mode and range
Identify representative, random and biased samples
Probability

Probability of simple events
Probability of simple events – word problems
Probability of opposite, mutually exclusive and overlapping events
Experimental probability
Make predictions
Compound events: find the number of outcomes
Counting principle