Integrated Problem Solving and Mathematical Modelling
Students apply a range of mathematical concepts and problem-solving heuristics to solve complex, non-routine problems and engage in mathematical modelling.
Key Questions
- How can different mathematical concepts be combined to solve a single complex problem?
- What are the stages of mathematical modelling, from problem formulation to solution validation?
- How can we effectively communicate our problem-solving process and justify our solutions?
MOE Syllabus Outcomes
Suggested Methodologies
Ready to teach this topic?
Generate a complete, classroom-ready active learning mission in seconds.
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 Problem Solving and Reasoning
Problem Solving with Algebraic Equations
Students apply their knowledge of linear equations to solve a variety of complex word problems from different contexts.
2 methodologies
Problem Solving with Ratios and Proportions
Students use ratios and proportions to solve problems involving scaling, sharing, and direct/inverse relationships.
2 methodologies
Problem Solving with Percentages and Financial Contexts
Students apply percentage calculations to solve multi-step problems related to finance, discounts, taxes, and interest.
2 methodologies
Logical Reasoning Puzzles
Students engage with non-routine problems that require logical deduction and critical thinking.
2 methodologies