Quadratic Functions and Modeling · Weeks 28-36

Representations of Quadratics

Comparing standard, vertex, and factored forms of quadratic functions.

Key Questions

  1. Differentiate what specific information the vertex form reveals that the standard form does not.
  2. Analyze how the coefficients of a quadratic equation dictate the shape and position of its graph.
  3. Justify why some quadratics can be factored while others require the quadratic formula.

Common Core State Standards

CCSS.Math.Content.HSA.SSE.B.3CCSS.Math.Content.HSF.IF.C.7
Grade: 10th Grade
Subject: Mathematics
Unit: Quadratic Functions and Modeling
Period: Weeks 28-36

Suggested Methodologies

Concept Mapping

Build visual maps of concept relationships

20–40 min

Learn more about Concept Mapping

Think-Pair-Share

Individual reflection, then partner discussion, then class share-out

10–20 min

Learn more about Think-Pair-Share

Ready to teach this topic?

Generate a complete, classroom-ready active learning mission in seconds.

Generate a Custom Mission

Planning templates for Mathematics

lesson plan

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 planner

Math 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.

rubric

Math 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.

2 methodologies

Graphing Quadratic Functions

Students will graph quadratic functions by identifying key features such as vertex, axis of symmetry, and intercepts.

2 methodologies

Solving Quadratic Equations by Factoring

Students will solve quadratic equations by factoring trinomials and using the Zero Product Property.

2 methodologies

Solving Quadratic Equations by Completing the Square

Students will solve quadratic equations by completing the square and understand its derivation.

2 methodologies

Solving Quadratic Equations with the Quadratic Formula

Students will apply the quadratic formula to solve any quadratic equation, including those with complex solutions.

2 methodologies