Canada · Ontario Curriculum Expectations
Grade 4 Mathematics
This course focuses on developing deep numerical fluency and spatial reasoning through hands on investigation. Students transition from additive to multiplicative thinking while exploring patterns, shapes, and data structures in real world contexts.
The Power of Place Value and Large Numbers
Students investigate the base ten system to understand how digits shift in value and how large quantities can be decomposed.
Exploring how the position of a digit determines its value and how numbers up to 10,000 relate to one another.
Moving beyond rules to understand when an estimate is more practical than an exact count.
Developing logical arguments for why one quantity is greater than another using place value evidence.
Multiplicative Thinking and Operations
Students move from skip counting to understanding multiplication and division as scaling and inverse operations.
Investigating multiplication through area models and arrays to visualize growth.
Understanding division as partitioning and the relationship between remainders and real world constraints.
Applying the distributive and associative properties to simplify multi digit arithmetic.
Fractions, Decimals, and Parts of a Whole
Students explore the relationship between fractions and decimals while learning to compare non whole values.
Using visual models to understand why different fractions can represent the same amount.
Bridging the gap between fractional notation and decimal notation using the base ten system.
Developing strategies for combining fractional parts that share a common unit.
Geometry and Spatial Reasoning
Students classify shapes based on properties and explore the concepts of symmetry and angles.
Identifying and classifying geometric elements including parallel lines and right angles.
Analyzing shapes to find lines of symmetry and understanding how shapes can flip or slide.
Investigating how the dimensions of a rectangle affect its total space and boundary.
Patterns, Data, and Probability
Students analyze patterns to make predictions and use data to tell a story about the world.
Identifying recursive and explicit rules for number and shape patterns.
Using many to one correspondence in graphs to represent large data sets.
Exploring the language of chance and predicting outcomes of simple experiments.