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Unit: Parabolas

Students work from the geometric definition to construct a parabola using the focus and directrix. They use the Pythagorean theorem to connect the geometric definition to the algebraic representation of a parabola on the coordinate grid. Through a series of activities, they develop the vertex form of the equation of a parabola. They also learn to identify geometric information, such as the coordinates of the focus and vertex, from the various forms of the equation of a parabola.

Lesson 1: Creating a Parabola from the Geometric Definition

Lesson 2: Connecting Geometry with Algebra

Lesson 3: Developing an Equation for a Parabola Given

Any y-value

Lesson 4: Developing an Equation for a Parabola Given

Any x-value

Lesson 5: Developing an Equation for all Parabolas with

Vertex at the Origin

Lesson 6: Exploring a Parameter Change

Lesson 7: Explaining a Parameter Change

Lesson 8: Exploring Parabolas with Vertex (h, k)

Lesson 9: Deriving the Vertex Form of the Equation of a Parabola

Lesson 10: Getting and Using Geometric Information