Mathematics, Grade 5

Unit 1: Number

Numbers to 1 000 000, estimation and mental-math strategies, standard algorithms for multiplication and division, equivalent fractions, and decimals to thousandths.

• Reading and writing numbers to a million
• Expanded notation to a million

• Front-end rounding and compensation
• Compatible numbers for estimating
• Multiplication facts to 81
• The 9s pattern and division facts
• Mental strategies for bigger multiplication
• Using the distributive property

• Multiplying with personal strategies and area models
• The standard multiplication algorithm
• Dividing and interpreting remainders
• The standard division algorithm

• Equivalent fractions
• Comparing fractions with unlike denominators
• Decimals to thousandths
• Connecting decimals and fractions to thousandths
• Ordering decimals with benchmarks
• Ordering decimals with equivalent decimals
• Adding and subtracting decimals
• Estimating and solving decimal problems

Unit 2: Patterns and Relations

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

• Pattern rules and predictions
• Writing single-variable equations
• Solving single-variable equations

Unit 3: Shape and Space

Perimeter and area of rectangles, length in millimetres, volume and capacity, geometric relationships, quadrilaterals, and transformations.

• Rectangles with given perimeter or area
• Measuring in millimetres
• Referents and estimating volume
• Measuring and building volume
• Millilitres and litres
• Estimating and measuring capacity

• Parallel, perpendicular, and more
• Sorting quadrilaterals
• Performing transformations
• Identifying transformations

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
• Impossible, possible, and certain
• Comparing likelihoods