Grade 7 is where math becomes algebra. Our structured program builds integers, rational numbers, ratios and equations with visuals and everyday examples, like taxes, tips and scale maps, so students gain confidence before high school.

Key Topics Covered:

Integers, fractions, decimals and percent, ratios and rates, proportional reasoning, GST and HST, algebraic expressions, equations, linear relations, circles, volume and surface area, data and probability.

Parent Tip:

Work out the tip and tax on a restaurant bill together, or compare two sale prices. Short, real-life number talk beats long worksheets. We make sure each idea clicks before moving on.

Compute with integers, fractions, decimals and percent

Solve ratio, rate and proportion problems with Canadian prices and maps

Work out discounts, GST, HST and tips

Write and solve one-step and two-step equations

Find circumference, area, volume and surface area

Read graphs, find the mean and describe probability

Student working out tax and tip on a restaurant bill for Grade 7 math at home in Canada

No.	Topic	What We Cover
01	Adding and Subtracting Integers	Add and subtract positive and negative numbers with number lines and counters, such as temperature changes in a Canadian winter.
02	Multiplying and Dividing Integers	Multiply and divide integers and learn the sign rules through patterns and models.
03	Order of Operations with Integers	Apply brackets, exponents, multiplication, division, addition and subtraction to expressions with integers.
04	Adding and Subtracting Fractions	Add and subtract fractions and mixed numbers with unlike denominators and simplify answers.
05	Multiplying and Dividing Fractions	Multiply and divide fractions and mixed numbers using models, and explain why dividing by a fraction works.
06	Operations with Decimals	Add, subtract, multiply and divide decimals and estimate to check answers.
07	Rational Numbers: Fractions, Decimals and Percent	Convert between fractions, decimals and percent and compare and order rational numbers.
08	Squares, Square Roots and Powers	Work with perfect squares, square roots and powers and spot patterns.
09	Multi-Step Problems	Plan and solve problems with more than one step and explain each decision.
10	Term 1 Check-In and Review	Revise integers, fractions and decimals through mixed tasks. A termly mock test and parent report follow.

Try a Free Lesson to See the Full Program

See our structured approach in action. Your child's first lesson is completely free, no credit card needed.

Student in a tutoring session with their tutor

Warm-up (5 min)

Quick mental math and a review of the previous session

Core Teaching (25 min)

New concept from the lesson eBook, with examples and guided practice

Guided Practice (15 min)

Student works through problems with tutor support

Independent Practice (10 min)

Student completes the in-class quiz independently

Wrap-up (5 min)

Summary, 2 take-home quizzes and a preview of the next session

"My daughter went from struggling with fractions to confidently solving complex problems. The teachers are patient, knowledgeable, and really understand how to make learning fun. Best decision we made for her education!"

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No.	Topic	What We Cover
11	Ratios and Equivalent Ratios	Compare quantities with ratios and build equivalent ratios using tables and double number lines.
12	Rates and Unit Rates	Find unit rates such as price per 100 g or fuel use per 100 km and compare deals.
13	Proportional Reasoning	Solve proportions with tables, scale factors and cross-multiplying, and check with estimates.
14	Finding Percent of a Quantity	Find percent of an amount, including percents less than 1 and greater than 100.
15	Discounts, Taxes and Tips	Work out sale prices, GST and HST and tips, and compare final prices.
16	Percent Increase and Decrease	Find the percent change in price, population or score and explain what it means.
17	Scale Drawings and Maps	Use scale factors to read maps and plans, such as the distance between two Canadian cities on a map.
18	Currency and Rate Problems	Convert between Canadian and U.S. dollars and solve rate problems such as gas price per litre.
19	Financial Literacy: Budgets and Income	Plan a simple budget, compare income and expenses and see how taxes affect take-home pay.
20	Term 2 Review	Revise ratios, rates and percent. A termly mock test and parent report follow.

No.	Topic	What We Cover
21	Variables and Algebraic Expressions	Use letters to stand for unknowns and write expressions from situations and patterns.
22	Simplifying Expressions	Combine like terms and use the distributive property to simplify expressions.
23	Solving One-Step Equations	Solve one-step equations with inverse operations and check the answer.
24	Solving Two-Step Equations	Solve two-step equations, including with fractions and integers, and check the answer.
25	Equations with Brackets	Solve equations that need expanding or collecting like terms before solving.
26	Patterns and Linear Relations	Describe patterns with words, tables and equations and predict later terms.
27	Tables, Graphs and Linear Relations	Plot linear relations on a coordinate grid and describe slope as a rate of change.
28	Coding with Variables, Conditionals and Loops	Write programs that use variables, if statements and loops to solve a problem.
29	Algebra Word Problems	Translate real-life situations into equations and solve them.
30	Term 3 Review	Revise algebra and linear relations. A termly mock test and parent report follow.

No.	Topic	What We Cover
31	Angle Properties and Triangles	Find unknown angles using angle sums, supplementary and vertical angles.
32	Properties of Triangles and Quadrilaterals	Classify triangles and quadrilaterals and use their properties to solve problems.
33	Circles: Circumference and Area	Find circumference and area of circles using pi and apply them to wheels, pizzas and tracks.
34	Area of Composite Shapes	Break complex shapes into simple ones to find area, such as a rink or a floor plan.
35	Volume and Surface Area of Prisms and Cylinders	Use nets and formulas to find volume and surface area of prisms and cylinders.
36	Transformations and the Coordinate Plane	Show translations, reflections and rotations in all four quadrants.
37	Data: Mean, Median, Mode and Graphs	Read and make graphs and find mean, median, mode and range, and compare data sets.
38	Probability and Tree Diagrams	Find the probability of independent events with tree diagrams and tables.
39	Mixed Problems and Test-Style Practice	Practise multi-step numeracy problems and explain your thinking, including FSA-style tasks for BC's Grade 7 assessment and puzzles in the style of the University of Waterloo's Gauss contest.
40	Grade 7 Review and Grade 8 Readiness	Revise the year's key skills and preview Grade 8 math, including the Pythagorean theorem. A termly mock test and parent report follow.

Grade 7 Math Tutoring in Canada

By Term 4 of Grade 7 Math, Your Child Will...

Grade 7 Math Curriculum, Term by Term

Try a Free Lesson to See the Full Program

Try a Free Lesson to See the Full Program

Try a Free Lesson to See the Full Program

Try a Free Lesson to See the Full Program