Quadratic Functions and Modeling · Weeks 28-36

Representations of Quadratics

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

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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

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Think-Pair-Share

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

10–20 min

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