Grade 5 Math
11 units matched to the Ontario Curriculum.
Overall expectations
- B1 Number Sense: Demonstrate an understanding of numbers and make connections to the way numbers are used in everyday life
- B2 Operations: Use knowledge of numbers and operations to solve mathematical problems encountered in everyday life
- C1 Patterns and Relationships: Identify, describe, extend, create, and make predictions about a variety of patterns, including those found in real-life contexts
- C2 Equations and Inequalities: Demonstrate an understanding of variables, expressions, equalities, and inequalities, and apply this understanding in various contexts
- C3 Coding: Solve problems and create computational representations of mathematical situations using coding concepts and skills
- C4 Mathematical Modelling: Apply the process of mathematical modelling to represent, analyse, make predictions, and provide insight into real-life situations This overall expectation has no specific expectations. Mathematical modelling is an iterative and interconnected process that is applied to various contexts, allowing students to bring in learning from other strands. Students’ demonstration of the process of mathematical modelling, as they apply concepts and skills learned in other strands, is assessed and evaluated. Read more about the mathematical modelling process.
- D1 Data Literacy: Manage, analyse, and use data to make convincing arguments and informed decisions, in various contexts drawn from real life
- D2 Probability: Describe the likelihood that events will happen, and use that information to make predictions
- E1 Geometric and Spatial Reasoning: Describe and represent shape, location, and movement by applying geometric properties and spatial relationships in order to navigate the world around them
- E2 Measurement: Compare, estimate, and determine measurements in various contexts
- F1 Money and Finances: Demonstrate the knowledge and skills needed to make informed financial decisions
Units
Unit 1
Big Numbers
Place value to 100 000, comparing and ordering big numbers, expanded form, and multiplying by 0.1 and 0.01 as a way to divide by 10 and 100.
Expectation: B1.1, B1.2, B2.3 · reading, comparing and ordering whole numbers to 100 000, and multiplying by 0.1 and 0.01
Unit 2
Multiply, Divide & Ratios
Facts to 12 × 12, multiplying two two-digit numbers, dividing three-digit numbers by two-digit numbers, and using equivalent ratios and rates.
Expectation: B2.2, B2.6, B2.7, B2.9 · multiplication facts to 12 × 12, two-digit by two-digit multiplication, dividing by two-digit numbers, and equivalent ratios and rates
Unit 3
Fractions
Equivalent fractions up to twelfths, improper fractions and mixed numbers, comparing fractions, adding and subtracting with the same denominator, and multiplying a whole number by a unit fraction.
Expectation: B1.3, B1.4, B2.5, B2.8 · equivalent, improper and mixed fractions, comparing them, adding and subtracting like denominators, and whole numbers by unit fractions
Unit 4
Decimals & Percents
Reading, comparing and rounding decimals to hundredths, linking fractions, decimals and percents, estimating, and adding and subtracting decimals.
Expectation: B1.5–B1.7, B2.3, B2.4 · decimals to hundredths, rounding, percents, and adding and subtracting decimals
Unit 5
Patterns & Equations
Describing growing and shrinking patterns with rules and expressions like 3n + 1, using input–output tables, and solving one-step equations such as n + 37 = 92 or 6 × n = 54.
Expectation: C1.1–C1.4, C2.3 · growing and shrinking patterns, and solving equations
Unit 6
Expressions & Equations
Writing expressions like n + 5 for “5 more than a number”, evaluating them, solving equations to 100, and finding numbers that make an inequality true.
Expectation: C2.1–C2.4 · translating words to expressions, evaluating expressions, and solving equations and inequalities
Unit 7
Data & Samples
Choosing a fair sample, using percents to compare groups, reading stacked-bar graphs, finding mean, median and mode, and spotting misleading graphs.
Expectation: D1.1–D1.6 · sampling, relative frequency, stacked-bar graphs, mean, median and mode, and misleading graphs
Unit 8
Probability
Writing probability as a fraction, placing events on a probability line from 0 to 1, and comparing what should happen with what happens in an experiment.
Expectation: D2.1, D2.2 · probability as a fraction, the probability line, and theoretical and experimental probability
Unit 9
Triangles & Moves
Sorting triangles by sides and angles, knowing when a triangle can be made, seeing 3D objects from different views, and sliding, flipping and turning shapes on a grid.
Expectation: E1.1–E1.5 · types of triangles, congruent shapes, top, front and side views, coordinates and transformations
Unit 10
Measure It
Converting larger metric units to smaller ones, estimating and classifying angles, finding the area of parallelograms and triangles, and seeing that shapes with the same area can have different perimeters.
Expectation: E2.1–E2.6 · metric conversions, angles and protractors, and the area of parallelograms and triangles
Unit 11
Money & Taxes
Ways money moves, working out a price with 13% HST, planning a budget, understanding interest and debt, finding the best value with unit rates, and what taxes pay for.
Expectation: F1.1–F1.6 · moving money, total costs with sales tax, budgets, credit and debt, unit rates and taxes
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