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Grade 7 Mathematics

This course builds on the Grade 6 curriculum to further develop students’ understanding of fundamental mathematical concepts by exploring topics related to number, coding, algebra, data, spatial sense, social emotional learning skills in mathematics, and financial literacy.

Throughout the course, students will be encouraged to build their social-emotional learning skills by specifically focusing on how to cope with stress and by managing complex challenges. Students learn to break down a task into smaller portions, make a plan, and work with it one step at a time.

Regarding numbers, students work with numbers up to 1 billion, rational numbers, squares numbers and square roots. Students learn key multiplication facts from 0 × 0 to 12 × 12, begin to generate factors, work with multiples, and add and subtract fractions by using equivalent fractions. Students also develop their understanding of problems involving adding and subtracting integers.

In algebra, students extend their understanding of patterns in whole numbers and relate their understanding to patterns in decimals numbers. They solve equations involving multiple terms, whole numbers, and decimal numbers. Students learn to write code that executes a probability experiment.

In data, students learn how to use circle graphs to represent data. They begin to analyse data that is represented by potentially misleading graphs. Students also examine the differences between independent events and dependent events and their probabilities.

In spatial sense, students learn about the circumference, diameter, radius, and area or circles. They then extend this knowledge to find measurements for the surface area and volume of cylinders and other three-dimensional objects. Students also learn how to dilate a shape.

In financial literacy, students start learning about international currencies, exchange rates, and how various currencies differ in value from one another. Student are introduced to concepts of planning for and reaching financial goals. They also develop an understanding of how interest rates affect savings, investments, and borrowing, and they start to compare different types of accounts and loans.

Through investigation of real-life problems, students develop a strong foundation of mathematical knowledge and skills. Students apply mathematical processes and build transferrable critical thinking skills in varied teaching and consolidation activities that appeal to diverse learning styles. Students participate in engaging storylines along with characters who connect their learning to real-world contexts and build confidence by instilling a positive attitude towards mathematics. Various opportunities consolidate students’ learning through technology and offline activities, including tactile manipulatives, to reinforce essential mathematical strategies and tools. The course has a strong focus on reinforcing number sense and numeracy skills. It also provides various activities for practice throughout. This course prepares students for grade 8 mathematics.

Full Grade 7 Mathematics Course Outline

Course Code: MAT7
Curriculum Policy Document: The Ontario Curriculum: Grade 7 Mathematics
Department: Intermediate
Course Developer: Virtual Elementary School
Development Date: 2020

Read, Represent and Compare Numbers

In the Read, Represent, and Compare Numbers unit, students will learn to read, represent, and compare whole numbers, decimal numbers, and fractions. They will also learn about multiples and factors and how to determine them for whole numbers. Students will explore square numbers and square roots and learn how to add and subtract integers.


In the Geometry unit, students will learn to describe and classify 3D figures, draw figures and shapes using different perspective views, and understand how shapes can be similar without being identical. They will also learn how to dilate a shape by drawing a version of the same shape that is larger or smaller but having the same proportions. In addition, students will transform shapes on a grid.


In the Operations unit, students will extend their knowledge to multiply and divide fractions and decimal numbers. They will solve multi-step problems involving both multiplication and division and start to use exponents to represent repeated multiplication.


In the Fractions unit, students will add and subtract fractions, improper fractions, and mixed numbers, as well as learn how to simplify fractions.

Proportional Relationships

In the Proportional Relationships unit, students will learn to generate equivalencies among fractions, decimal numbers, and percentages. They will develop this skill to solve problems involving percentages of whole numbers and increasing and decreasing whole numbers by percent. In addition, students will solve problems involving unit rates.


In the Data unit, students will learn ways to collect data, represent data, and convey messages using data in infographics. Students will also explore central tendency and the ways in which to determine the different types, as well as learning how to analyse data to make inferences and draw conclusions.

Patterning and Algebra

In the Patterning and Algebra unit, students will explore and compare number patterns in whole numbers and integers. They will also be introduced to algebraic expressions, monomials, and inequalities.


In the Coding unit, students will learn to read, write, alter, and debug code that is controlled by defined counts and uses sub-programs.


In the Measurement unit, students will solve problems relating to perimeter, area, volume, capacity, and surface area. Students will also explore measurements of circles, such as their circumference and area. They will then be able to determine the surface area and volume of cylinders.

Financial Literacy

In the Financial Literacy unit, students will explore international currencies and compare their value to Canadian dollars and other currencies. They will explore how to plan for and reach a financial goal using budgeting, knowledge of the impact of interest rates, and fees associated with different types of accounts.

The Final Grade (Facilitated)

Student evaluation in this course is based on the student's achievement of curriculum expectations. The final percentage represents the quality of the student's overall fulfillment of the expectations for the course and reflects the corresponding level of achievement as described in the achievement chart for the discipline. The final grade reflects the student’s most consistent level of achievement across all units in the course, although special consideration is given to more recent evidence of achievement. Students are not required to write a final exam in this course.