Problem Solving with Proportions
Applying proportional reasoning to solve a variety of real-world problems, including those involving scale and mixtures.
Key Questions
- Evaluate the most appropriate strategy for solving a given proportional problem.
- Construct a real-world problem that can be solved using proportional reasoning.
- Critique common errors made when setting up and solving 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.
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 Number Sense and Proportional Thinking
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Classifying and ordering rational numbers, including positive and negative fractions and decimals, on a number line.
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Multiplying and Dividing Integers
Developing rules for multiplying and dividing integers and applying them to solve contextual problems.
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Operations with Rational Numbers
Performing all four operations with positive and negative fractions and decimals, including complex fractions.
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Ratio and Rate Relationships
Connecting ratios to unit rates and using proportional reasoning to solve complex multi-step problems.
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