Mathematics, Grade 5

Unit 1: Large Numbers

Recognizing large numbers in everyday media.

• Large numbers in media

Unit 2: Representing Whole Numbers

Reading, writing, and using expanded notation for numbers to a million.

• Writing numbers to a million
• Meaning of digits and expanded notation

Unit 3: Fractions and Decimals

Equivalent fractions, place-value of decimals to thousandths, ordering decimals, and connecting fractions and decimals.

• Making equivalent fractions
• Comparing and ordering fractions

• Tenths, hundredths, and thousandths
• Decimal place value and representation
• Ordering decimals
• Fractions and decimals
• Rounding decimals

Unit 4: Multiplication and Division

Two-digit multiplication with models, division with remainder interpretation, mental strategies, and estimation.

• Multiplying and dividing with zero
• Two-digit multiplication with models
• Multiplying near multiples of ten

• Dividing with models and strategies
• Interpreting the remainder
• Solving multiplication and division problems

• Mental multiplication strategies
• Recalling multiplication and division facts
• Estimation strategies
• Front-end rounding

Unit 5: Decimal Operations

Adding and subtracting decimals to thousandths using estimation and place value.

• Estimating and placing the decimal point
• Adding and subtracting decimals to thousandths

Unit 6: Patterns

Describing patterns with expressions and using pattern rules to predict and solve.

• Describing patterns with expressions
• Predicting and solving with patterns

Unit 7: Equations

Writing and solving single-variable equations.

• Writing equations with a variable
• Solving single-variable equations

Unit 8: Measurement

Metric length, area and perimeter relationships, and volume and capacity.

• Relating metric length units
• Referents for metric lengths
• Referents for cubic and capacity units

• Area and perimeter relationships
• Volume of prisms
• Capacity in litres and millilitres
• Greatest area for a perimeter

Unit 9: Geometry and Transformations

Parallel and perpendicular sides, quadrilaterals, and transformations.

• Parallel and perpendicular sides
• Sorting quadrilaterals
• Drawing shapes with described sides
• Parallel and perpendicular edges and faces

• Describing transformations
• Performing transformations
• Rotating shapes and predicting results

Unit 10: Data

First- and second-hand data and double bar graphs.

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

Unit 11: Probability

Describing likelihood and conducting probability experiments.

• Describing likelihood
• Conducting probability experiments
• Designing comparative experiments