Deriving y = mx + b
Connecting unit rates to the equation y = mx + b and comparing different representations of functions.
Key Questions
- Explain how the equation y = mx + b is derived from the concept of slope and y-intercept.
- Analyze the information provided by the y-intercept in a real-world scenario.
- Differentiate between proportional and non-proportional linear relationships using their equations.
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.
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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.
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