Decomposing Fractions and Mixed Numbers
Students understand a fraction a/b as a sum of fractions 1/b and apply this to mixed numbers, representing decomposition in multiple ways.
Key Questions
- Decompose a fraction into a sum of unit fractions in multiple ways.
- Construct a mixed number from an improper fraction and vice versa.
- Explain how visual models support the decomposition of fractions.
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.
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