Grade 6 Math
14 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
Integers & Decimals
Meeting negative numbers on a number line, comparing and ordering integers, decimals and fractions, working with thousandths, and rounding decimals.
Expectation: B1.2–B1.6 · integers on number lines, comparing integers, decimals and fractions, decimals to thousandths and rounding
Unit 2
Factors & Primes
Using divisibility rules for 2, 3, 4, 5, 6, 8, 9 and 10, telling prime from composite, and writing a number as a product of prime factors.
Expectation: B2.2, B2.6 · divisibility rules and prime factorization with factor trees
Unit 3
Fractions
Adding and subtracting fractions that have different denominators, and multiplying or dividing whole numbers by fractions such as 2/3.
Expectation: B2.5, B2.9, B2.10 · adding and subtracting fractions with unlike denominators, and multiplying and dividing whole numbers by proper fractions
Unit 4
Decimal × and ÷
Multiplying and dividing decimals, estimating to check where the decimal point goes, and solving shopping and measurement problems.
Expectation: B2.4, B2.7, B2.8, B2.11 · adding, subtracting, multiplying and dividing decimal numbers
Unit 5
Percents & Ratios
Finding 1%, 5%, 10%, 15%, 25% and 50% of a number in your head, and solving ratio, rate and percent problems.
Expectation: B2.3, B2.12 · percents of whole numbers using mental math, ratios, rates and percent problems
Unit 6
Patterns & Graphs
Describing growing and shrinking patterns with rules like 3n + 2, using tables and graphs to predict values, and reading change over time from line graphs.
Expectation: C1.1–C1.4 · repeating, growing and shrinking patterns, including linear patterns
Unit 7
Algebra Moves
Combining like terms such as 3x + 5x, evaluating expressions, and finding values that make an inequality true and showing them on a number line.
Expectation: C2.1, C2.2, C2.4 · adding monomials, evaluating expressions with decimal tenths, and inequalities with two operations
Unit 8
Equations
Using the order of operations (brackets, then × and ÷, then + and −) and solving one-step equations like 6n = 42 with inverse operations, including writing equations for word problems.
Expectation: B2.1, C2.3 · order of operations and solving equations
Unit 9
Data & Graphs
Telling discrete data (counted) from continuous data (measured), reading histograms and line graphs, finding the range, and spotting misleading graphs.
Expectation: D1.1–D1.6 · discrete and continuous data, histograms, broken-line graphs, range, and misleading graphs
Unit 10
Probability
Writing probability as a fraction, decimal and percent, and finding the probability of two independent events by multiplying.
Expectation: D2.1, D2.2 · probability as fractions, decimals and percents, and two independent events
Unit 11
Quadrilaterals & Grids
Properties of quadrilaterals (symmetry and diagonals), top and front views, coordinates in all four quadrants, and combining slides and flips.
Expectation: E1.1–E1.4 · quadrilateral properties, views of 3D objects, coordinates in four quadrants and combined transformations
Unit 12
Transformations
Translating, reflecting and rotating points and shapes on a coordinate grid, and combining two transformations in a row.
Expectation: E1.3, E1.4 · coordinates and combinations of transformations
Unit 13
Angles, Area & Surface
Converting metric units, finding unknown angles, finding the area of trapezoids, rhombuses and L-shapes, and the surface area of boxes and pyramids.
Expectation: E2.1–E2.6 · metric conversions, angle relationships, areas of trapezoids and rhombuses, and surface area
Unit 14
Money Plans
Comparing ways to pay, setting financial goals, understanding interest and fees, and the difference between trading, lending, borrowing and donating.
Expectation: F1.1–F1.5 · ways to pay, financial goals, interest rates and fees, and ways to move money between people
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