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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