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Grade 4 Mathematics

This course builds on the Grade 3 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 focusing specifically on the interactions and challenges they face in the world around them. They will learn to solve problems using reasoning, cooperation, tools, and a variety of different problem-solving strategies. Students will practice using math language in order to communicate their ideas and solutions in order to tell a story and to cooperate with others.

Regarding numbers, students will learn how to identify, represent, show place value, compose and decompose, compare and order numbers up to 10 000, and learn how to round four-digit numbers. They will also be introduced to reading, writing, and understanding decimal numbers. Students will explore different ways of representing, comparing, counting by, and ordering fractions. They will be able to show equivalent fractions. Students will practice addition and subtraction of four-digit numbers using a variety of tools and strategies. They will also practice multiplying and dividing numbers by 1 through 11, as well as by 100, and 1 000. Students will practice their problem-solving skills by working through real-world problems that require the use of more than one operation to find a solution.

In algebra, students will continue to expand their knowledge of patterning as they create, identify, extend, and predict repeating and increasing patterns. Students will explore the commutative and distributive property of both multiplication and addition. They will also make use of a variety of different tools and strategies in order to help them find missing numbers in equations and to solve inequalities.

In data, students will learn about the differences between qualitative and quantitative data, and primary and secondary sources of data. They will demonstrate an understanding of and the uses of the mean, medians, and modes. They will collect and organize data in order to display it in a variety of different charts and graphs, and then use their charts and graphs to create simple infographics in order to tell a story about data. They will use data, charts, graphs, infographics, and probability experiments in order to read, interpret, compare, predict, and draw conclusions based on applicable data sets.

In spatial sense, students will learn the properties and characteristics of rectangles and learn how to identify, describe, reflect, and translate different angles and shapes. They will learn how to differentiate among acute, right, obtuse, and straight angles, and students will explore lines of symmetry. They will also use shapes to create patterns. While exploring measurement, students will estimate, compare, and determine mass and capacity in a variety of different units and contextual situations. They will also continue to expand their knowledge of time by exploring units of minutes, hours, days, weeks, years, decades, and centuries.

In financial literacy, students will be exposed to the different methods of payment that are used in modern society. They will estimate and calculate costs, make change for cash purchases, and explore the relationships among spending, saving, earning, investing, and donating. They will build good financial sense by practicing how to determine whether purchases are worthwhile.

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 5 mathematics.

Full Grade 4 Mathematics Course Outline

Course Code: MAT4
Curriculum Policy Document: The Ontario Curriculum: Grade 4 Mathematics
Department: Junior
Course Developer: Virtual Elementary School
Development Date: 2020

Representing Numbers

In the Representing Numbers unit, students learn to read and write numbers up to 10 000, show an understanding of place value up to 10 000, represent, compare, and order numbers up to 10 000. They also round four-digit numbers in real-life situations.


In the Geometry unit, students draw lines of symmetry on 2D shapes, and identify, compare, and classify quadrilaterals. They learn how to identify various angles. Students identify, perform, and describe reflections and learn to create patterns using reflections.

Addition and Subtraction

In the Addition and Subtraction unit, students add and subtract four-digit numbers using partial sums, add and subtract four-digit numbers vertically.

Multiplication and Division

In the Multiplication and Division unit, students multiply ad multiply and divide numbers from 1 to 10. They multiply and divide by 10, 100, and 1 000 using mental strategies and multiply and divide using a variety of tools. Students solve vertical multiplication equations, divide two-digit and three-digit by one-digit numbers. Students describe relationships using multiplication, and explore multiplication and unit rates. They also solve problems involving more than one operation.

Patterning and Algebra

In the Patterning and Algebra unit, students create and extend patterns, analyze terms and term numbers, create number patterns, and predict terms in a pattern. Students also determine the relationship between multiplication and division, find the missing number in a multiplication problem, and identify the commutative and distributive properties.

Fractions and Decimal Numbers

In the Fractions and Decimal Numbers unit, students represent fractions, identify the fraction of a group, compare and order fractions, show equivalent fractions, and count by halves, thirds, fourths, and tenths. Students also read and write decimal numbers, show place values from 0.1 to 10 000, represent, compare, and order decimal numbers up to tenths, count forward, add and subtract decimal numbers, and explore the relationship between fractions and decimal numbers.


In this unit, students learn how to write and execute code to draw shapes. They learn the concepts of variables and nested events. Students learn how to debug code with nested events.


In the Data unit, students collect data by conducting a survey and collect and organize data in charts, tables, and graphs. They learn how to create an infographic to represent data. Students read, interpret, and draw conclusions on data, demonstrate an understanding of the median, describe and compare sets of data, and explore probability and probability experiments.


In the Measurement unit, students estimate, measure, and record mass. Students investigate grams and kilograms, capacity, millilitres and litres, and volume. They also compare mass and capacity. Students determine elapsed time and solve problems involving years, decades, and centuries.

Financial Literacy

In this unit students identify different methods of payment and learn how to estimate and calculate cost using addition. They calculate the change for a cash purchase. Students explore spending, saving, earning, investing, and donating while exploring the concept of good purchases.

The Final Grade (Facilitated)

Student evaluation in this course is based on the student's achievement of curriculum expectations. The final letter grade 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.