Problem Solving with Ratios and Proportions
Students use ratios and proportions to solve problems involving scaling, sharing, and direct/inverse relationships.
Key Questions
- How can proportional reasoning simplify complex problems involving scaling or sharing?
- What are the different methods for solving problems involving direct and inverse proportion?
- How can we use unit rates to solve problems involving different quantities?
MOE Syllabus Outcomes
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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