Exploring Non-Linear Relations
Students investigate the differences between linear and non-linear relations using tables of values and first and second differences.
About This Topic
Students investigate the differences between linear and non-linear relations using tables of values and first and second differences.
Key Questions
- What are second differences and what do they tell us about a relation?
- How does the graph of a quadratic relation differ from a linear one?
- What are the key features of a parabola?
Planning templates for Principles of 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 Quadratic Relations
Transformations of Quadratics
Students explore how changing the parameters in the vertex form of a quadratic equation affects its graph.
2 methodologies
Expanding and Factoring Algebraic Expressions
Students learn to expand binomials and factor quadratic expressions to translate between standard and factored forms.
2 methodologies