Mathematics, Grade 5

Unit 1: Number

Whole numbers to a million, estimation and mental math, 2-digit multiplication and division with remainders, equivalent fractions, and decimals to thousandths.

• Whole numbers to 1 000 000
• Front-end rounding and compensation
• Compatible numbers

• Skip-counting and doubling/halving for facts to 81
• Nines patterns and repeated doubling/halving
• Annexing zero and halving/doubling for multiplication
• Using the distributive property
• Multiplying 2-digit by 2-digit
• Dividing with remainders

• Equivalent fractions
• Comparing fractions with like and unlike denominators
• Decimals to thousandths
• Decimals and fractions to thousandths
• Comparing decimals with benchmarks
• Comparing decimals with place value and equivalents
• Adding decimals to thousandths
• Subtracting decimals to thousandths

Unit 2: Patterns and Relations

Determining pattern rules to make predictions, and solving single-variable one-step equations.

• Pattern rules and predictions
• One-step equations

Unit 3: Shape and Space

Perimeter and area of rectangles, measuring length, volume, capacity, edges and sides, quadrilaterals, and transformations.

• Rectangles from perimeter or area
• Measuring length (mm and km)

• Referents for volume
• Estimating volume
• Measuring and recording volume
• Building prisms for a given volume

• Millilitres and litres
• Referents for capacity
• Estimating capacity
• Measuring and recording capacity

• Parallel, intersecting, and perpendicular
• Vertical and horizontal
• Sorting quadrilaterals
• Performing a transformation
• Identifying a transformation

Unit 4: Statistics and Probability

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

• First-hand and second-hand data
• Double bar graphs
• Likelihood of a single outcome
• Comparing the likelihood of two outcomes