Comparing Quadratic and Linear Models
Students will compare and contrast quadratic and linear functions in real-world contexts, identifying when each model is appropriate.
About This Topic
Students will compare and contrast quadratic and linear functions in real-world contexts, identifying when each model is appropriate.
Key Questions
- Differentiate between situations best modeled by linear functions versus quadratic functions.
- Analyze data sets to determine whether a linear or quadratic model is a better fit.
- Construct a real-world scenario that can be modeled by a quadratic function and explain why it's not linear.
Active Learning Ideas
See all activities→Activities & Teaching Strategies
See all activities
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 Quadratic Functions and Modeling
Introduction to Quadratic Functions
Students will identify quadratic functions, their graphs (parabolas), and key features like vertex, axis of symmetry, and intercepts.
8 methodologies
Representations of Quadratics
Comparing standard, vertex, and factored forms of quadratic functions.
8 methodologies
Graphing Quadratic Functions
Students will graph quadratic functions by identifying key features such as vertex, axis of symmetry, and intercepts.
8 methodologies
Solving Quadratic Equations by Factoring
Students will solve quadratic equations by factoring trinomials and using the Zero Product Property.
8 methodologies
Solving Quadratic Equations by Completing the Square
Students will solve quadratic equations by completing the square and understand its derivation.
8 methodologies
Solving Quadratic Equations with the Quadratic Formula
Students will apply the quadratic formula to solve any quadratic equation, including those with complex solutions.
8 methodologies