Ingersoll+Lesson

=Title of Lesson: Comparing Functions and Introducing Quadratics=

Standards:

 * 2.02** Use quadratic functions and inequalities to model and solve problems; justify results.
 * 1) Solve using tables, graphs, and algebraic properties.
 * 2) Interpret the constants and coefficients in the context of the problem.

Tools + Rationale for each tool used:
Geometer's Sketchpad - Allows students to manipulate different functions using sliders Google Forms - Students will be assessed on their work in the student form

Prior Content Knowledge:
Knowledge of constant and linear functions to help with review.

Prior Internet/Web 2.0 Resource Knowledge:
Use of geometer's sketchpad sliders. Use of Google Forms.

Instructional Strategy/Activities (Lecture, workshop, etc.):
Introductory lecture with video of relevance of quadratics.

Student Deliverables:
1. Watch the Introduction Video. In the discussion, list 3 other places that you see parabolas in real life. 2. Use the file to answer the [|Questions for Exploration]. Place your windows next to each other so that you can see both the Sketchpad file and the questions at the same time. 3. Using a piece of graph paper, graph a parabola of the function f(x) = 2(x - 4) + 2 using what you know about the vertex and other points on the parabola. 4. In the discussion forum, answer the following question, using any resource that you choose. The path of a ball after you kicked it can be modeled by y = -0.1x 2 + 4x, where x is the horizontal distance in feet and y is the height in feet of the ball. What was the height of the ball at its highest point? How many feet had the ball traveled horizontally at this height?