Canada · Ontario Curriculum Expectations
Grade 5 Mathematics
This course guides students through the deepening of number sense and the introduction of algebraic reasoning. Students move beyond basic computation to analyze relationships between decimals, fractions, and integers while developing spatial reasoning through geometric transformations.
The Power of Place: Large Numbers and Decimals
Students explore the base ten system to understand how place value extends infinitely in both directions. This unit focuses on comparing, ordering, and representing numbers from millions to thousandths.
Investigating how the value of a digit changes by a factor of ten as it moves between places.
Applying decimal understanding to measurement and currency to solve practical problems.
Operating with Flexibility: Multi-Digit Thinking
Moving beyond rote algorithms to master mental math and estimation strategies for multiplication and division. Students develop a toolkit of strategies to tackle complex multi-step problems.
Using area models and partial products to understand the mechanics of multi-digit multiplication.
Exploring the concept of remainders and the relationship between multiplication and division.
Fractions and Decimals: Different Names for the Same Parts
Students bridge the gap between fractions and decimals, learning to treat them as interchangeable representations of the same values.
Finding common ground between fractions with different denominators and their decimal counterparts.
Using concrete models to understand what happens when we add or subtract fractional amounts.
Algebraic Patterns and Functional Thinking
An introduction to variables, expressions, and the use of patterns to predict future results in a sequence.
Transitioning from empty boxes to letters to represent unknown quantities in equations.
Identifying and describing patterns using mathematical rules and tables.
Space and Shape: Geometry and Measurement
Students explore the properties of 2D and 3D shapes while mastering the measurement of perimeter, area, and volume.
Analyzing how shapes move through translations, rotations, and reflections on a coordinate plane.
Understanding volume as the amount of space an object occupies, measured in cubic units.