Topics covered

Number Concepts and Operations

This unit focuses on understanding and working with different types of numbers, including perfect squares and cubes. Students will learn to identify and represent these numbers using various methods such as colour tiles, pictures, or multi-link cubes. The curriculum also covers square and cube roots, including finding the roots of specific numbers and estimating roots. Students will explore percents, including calculating percentage increases, finding percentages of large numbers, and solving real-life problems involving percentages. Additionally, the curriculum emphasizes operations with fractions, incorporating the use of brackets but excluding exponents.

Ratios, Rates, and Proportions

This section emphasizes numerical proportional reasoning, focusing on two-term and three-term ratios in real-life contexts. Students will learn to solve problems involving ratios, such as determining the lengths of segments in a given ratio.
The unit extends to rates, proportions, and percent, with applications to practical scenarios like paddle making.

Patterns and Relations

This unit introduces students to discrete linear relations, specifically two-variable relations. Students will learn to represent these relationships using expressions, tables of values, and graphs, and will work with scaled values on graphs.
The curriculum also covers expressions, including writing expressions to represent relationships and evaluating expressions using substitution.

Equations and Inequalities

This section focuses on solving two-step equations with integer coefficients, constants, and solutions. Students will learn to solve and verify equations and will explore the concept of preserving equality using models like balances, manipulatives, algebra tiles, and diagrams.

Geometry and Measurement

This unit covers surface area and volume of regular solids, including triangular and other right prisms and cylinders. Students will explore strategies to determine surface area and volume using objects, nets, and 3D design software. They will also learn and apply the formulas for calculating volume (area of the base x height) and surface area (sum of the areas of each side). The Pythagorean theorem is also introduced, with students modeling the theorem, finding missing sides of right triangles, and deriving the theorem itself. Additionally, students will explore construction, views, and nets of 3D objects. They will learn to match nets to corresponding 3D objects, draw and interpret top, front, and side views of objects, and construct 3D objects using nets and design software.

Data Analysis and Probability

This unit introduces students to measures of central tendency, including mean, median, and mode. They will also learn about theoretical probability, focusing on two independent events. Students will explore representing sample spaces using tools like tree diagrams, tables, and graphic organizers, and will calculate the probability of combined events.

Financial Literacy

This section focuses on practical financial concepts such as coupons, proportions, unit price, and comparing products and services. Students will use proportional reasoning strategies like unit rate and equivalent fractions to determine best buys.

Curricular Competencies

Beyond specific mathematical topics, the curriculum emphasizes several key competencies:

Reasoning and Analyzing

Students will use logic, patterns (including coding), and reasoning skills to solve puzzles, play games, and explore mathematical ideas. They will learn to make connections, use inductive and deductive reasoning, and make predictions and generalizations.

Understanding and Solving

Students will apply multiple strategies to solve problems in both abstract and contextualized situations. They will engage in problem-solving through play, inquiry, and visualization.

Communicating and Representing

Students will use mathematical vocabulary and language to participate in discussions and explain their reasoning. They will communicate their thinking using various forms, including concrete, pictorial, symbolic, and written/spoken language.

Connecting and Reflecting

Students will reflect on their mathematical thinking, evaluate strategies, and extend their learning by posing new problems. They will also connect mathematical concepts to each other, to other areas of learning, and to their personal interests.

First Peoples Integration

The curriculum emphasizes the integration of First Peoples worldviews and perspectives into mathematical concepts. This includes connecting mathematical ideas to place, story, cultural practices, and perspectives relevant to local First Peoples communities.
Teachers are encouraged to invite local First Peoples Elders and knowledge keepers to share their knowledge and connect their cultural practices to mathematical learning. Specific resources and examples for incorporating First Peoples perspectives are highlighted in the curriculum.