Modeling with Equations and Inequalities
Translating complex word problems into algebraic equations or inequalities and solving them.
Key Questions
- Critique different approaches to setting up algebraic models for word problems.
- Explain how to identify key information and relationships within a word problem.
- Construct a multi-step word problem that can be solved using algebraic methods.
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 Algebraic Expressions and Equations
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Writing and Evaluating Expressions
Translating verbal phrases into algebraic expressions and evaluating expressions for given variable values.
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Properties of Operations
Applying the commutative, associative, and distributive properties to simplify algebraic expressions.
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Solving One-Step Equations
Mastering the balance method to isolate variables and solve for unknowns in linear equations.
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Solving Two-Step Equations
Extending the balance method to solve equations requiring two inverse operations.
2 methodologies