Andy Jensen and Brian Campbell

Lesson 1:  Graphing Quadratics

• Objectives:
• Identify the vertex, roots, axis of symmetry, and y-intercept of a parabola.
• Describe how changing the a-value will modify the shape of the graph.
• Describe how the values of b & c translate, or move the graph.
• Solve for the discriminant and describe what it means to the graph.
• Activity:  Graphing Quadratics Lesson
• Series of slides, each describing a different parameter of the graph.
• After description of parameters, two to three examples in which students are given several minutes to describe the different parameters of each graph.
• Last slide will present students with a parabola to label on their own.
• e.g., 'Copy the following parabola and identify & label its (vertex, AOS, roots, y-intercept)'
• Deliverable: 
• QUIZ
• Have them describe what each of the four terms (parameters) mean.
• Given three graphs, identify the parameters of each.
• Given four parameters, recreate the graph.

Lesson 2:  Solving Quadratics

• Objectives:  
• Solve quadratic equations by using the Quadratic Formula.
• Reflect on the process of solving quadratic equations in writing.
• Activity:  Solving Quadratics Lesson
• Series of slides, each detailing a step in the process of solving with Quadratic Formula.
• Two or three example problems in which students are given several minutes to solve on their own.
• Last slide will be an example with no solution given.
• Students will post their answer on the forum and reply to the questions listed below.
• Students will reply to three other posts, comparing solutions an offering insights.
• Deliverable: Forum
• Reflection Post (1-3 paragraphs describing their overall experience)
• What did I learn?  How will it help me?  What was the most difficult part?
• What do I still need to learn / master before I become proficient at solving quadratic equations using the Quadratic Formula? 
• comment on at least 2 other posts to offer insight into given reflection.
• Did you get the same answer?  In no, why not?
• Was your experience the similar?  Was it very different?  Why?

Lesson 3:  Vertical Motion Project

• Objectives:
• Given a vertical motion problem, solve for the time an object is in the air.
• Working in groups, students will create a wiki demonstrating the solution and graph of their vertical motion problem.
• In their wiki, groups will describe the meaning of their graphical and numeric solutions in words. 
• Activity:  Solving and Graphing a Vertical Motion problem in Groups.
• Groups are assigned a vertical motion problem to solve and graph.
• Groups will solve the problem using the Quadratic Formula and describe what the solutions mean for the given situation.
• Groups will graph the quadratic equation representing their vertical motion situation and label all important parts of the graph.
• Deliverable: Wiki
• Groups will present their numeric and graphic solutions, and reflections, in the form of a wiki.