Fractions as Parts of a Set
Students understand a fraction a/b as a multiple of 1/b and multiply a fraction by a whole number using visual fraction models.
Key Questions
- How do you find what fraction of a group of objects has a certain attribute?
- What does the denominator represent when a fraction describes part of a set of objects?
- Can you represent the same fraction as both part of a whole and part of a set?
Ontario Curriculum Expectations
Suggested Methodologies
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Planning templates for Mathematics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
unit plannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
rubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
More in Fractions, Decimals, and Parts of a Whole
Understanding Equivalent Fractions
Students use visual models (fraction bars, number lines) to understand why different fractions can represent the same amount.
3 methodologies
Comparing Fractions Using Models and Benchmarks
Students compare two fractions with different numerators and different denominators by creating common denominators or numerators using visual models.
3 methodologies
Representing Fractions on a Number Line
Students develop strategies for combining fractional parts that share a common unit using concrete and pictorial models.
3 methodologies
Exploring Equivalent Fractions with Visual Models
Students understand a fraction a/b as a sum of fractions 1/b and apply this to mixed numbers, representing decomposition in multiple ways.
3 methodologies
Ordering Fractions Using Benchmarks
Students add and subtract mixed numbers with like denominators, using properties of operations and the relationship between addition and subtraction.
3 methodologies