Proportions and Solving for Unknowns
Students will set up and solve proportions using cross-multiplication and other algebraic methods.
Key Questions
- Explain why cross-multiplication is a valid method for solving proportions.
- Predict how a change in one quantity affects another in a proportional relationship.
- Justify the importance of consistent units when setting up proportions.
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.
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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.
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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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