Mathematics, Grade 5

Unit 1: Number

Numbers to 1 000 000, estimation, multiplication facts and mental strategies, two-digit multiplication, division with remainders, equivalent fractions, and decimals to thousandths.

• Showing and reading numbers to a million
• Partitioning and comparing to a million
• Estimation strategies

• Recalling multiplication and division facts
• Multiplying by multiples of 10, 100, and 1000
• Halving-doubling and the distributive property
• Two-digit multiplication with the area model
• Solving two-digit multiplication problems

• Dividing a three-digit number by a one-digit number
• Interpreting remainders in context
• Equivalent fractions
• Comparing and ordering fractions
• Decimals to thousandths
• Connecting decimals and fractions
• Comparing and ordering decimals
• Adding and subtracting decimals

Unit 2: Patterns and Relations

Pattern rules and predictions, and one-step single-variable equations.

• Pattern rules and predictions
• One-step equations with a variable

Unit 3: Measurement

Rectangles for a given perimeter or area, millimetre length, volume, and capacity.

• Rectangles for a given perimeter or area
• The millimetre
• Millimetres, centimetres, and metres

• Volume: referents and estimating
• Measuring volume and building prisms
• Capacity: millilitres and litres
• Estimating and measuring capacity

Unit 4: Geometry

Parallel, perpendicular, and other line relationships, single transformations of 2-D shapes, and right angles.

• Parallel, perpendicular, and other lines
• Right angles

• Translations (slides)
• Rotations (turns)
• Reflections (flips)

Unit 5: Statistics and Probability

First-hand versus second-hand data, double bar graphs, and the likelihood of outcomes.

• First-hand and second-hand data
• Double bar graphs

• Impossible, possible, and certain
• Comparing two outcomes