Mathematics, Grade 5

Unit 1: Number

Numbers to a million, estimation, mental math for multiplication and division, 2-digit by 2-digit multiplication, 3-digit by 1-digit division, fractions, and decimals to thousandths.

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

• Skip counting, doubling, and halving
• 9s patterns and repeated doubling or halving
• Annexing then adding zero
• Halving and doubling
• Using the distributive property

• Multiplying 2-digit by 2-digit numbers
• Solving 2-digit multiplication problems
• Dividing 3-digit by 1-digit numbers
• Interpreting remainders

• Equivalent fractions
• Comparing fractions with like denominators
• Comparing fractions with unlike denominators

• Showing decimals to thousandths
• Decimals and fractions to thousandths
• 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: Shape and Space

Rectangles from perimeter or area, measuring length in millimetres, volume of rectangular prisms, and sorting quadrilaterals.

• Rectangles with a given perimeter
• Rectangles with a given area

• Referents for millimetres
• Millimetres, centimetres, and metres

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

• Sorting quadrilaterals

Unit 4: Statistics and Probability

First-hand and second-hand data, and constructing and interpreting double bar graphs.

• First-hand and second-hand data
• Making and reading double bar graphs