Integrated Problem Solving: All Operations
Students will solve complex, real-world problems that require integrating knowledge of whole numbers, fractions, and decimals across all operations.
Key Questions
- Analyze a complex problem to identify all the mathematical concepts required for its solution.
- Design a comprehensive strategy to solve a multi-concept problem.
- Evaluate the most efficient method for solving a problem involving mixed number types.
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 Review and Application
Multi-Step Word Problems with Whole Numbers
Students will solve multi-step word problems involving all four operations with whole numbers, assessing the reasonableness of answers.
2 methodologies
Multi-Step Word Problems with Fractions
Students will solve multi-step word problems involving addition, subtraction, multiplication, and division of fractions and mixed numbers.
2 methodologies
Multi-Step Word Problems with Decimals
Students will solve multi-step word problems involving all four operations with decimals, including problems involving money and measurement.
2 methodologies
Geometry and Measurement Applications
Students will apply their understanding of geometric properties, coordinate planes, and measurement conversions to solve practical problems.
2 methodologies