Description
This lesson focuses on how to use the graphing calculator to find the roots of quadratic equations.
Duration
1 ~ 40-minute class period
Learning Objectives
Through the SMART Board lesson students will be able to successfully:
- Define roots of an equation and identify on the graph
- Solve a quadratic equation by placing it in standard form & graphing
- Solving a quadratic equation having no solutions, one solution, and two solutions
- Find the zeros of a quadratic function
Materials
- Computer
- SMART Board
- LCD Projector
- Solving Quadratic Equations by Graphing Notebook Lesson
- Solving Quadratic Equations by Graphing Note Packet
Finding the Roots by GraphingAlgebra 209 Finding Roots by Graphing.doc
Step-by-Step Procedure
The following describes what each page of the SMART Notebook file contains and how to navigate through this lesson.
Page 1: This is a Do Now activity. The students will come up to the SMART Board and drag down the number from the quadratic equation and place them into the correct positions for a, b, & c. As I have taught in previous lessons, "You always have to find your A, B, and C's first!" The students will then drag the equation for the axis of symmetry from underneath the image. The numbers can be dragged out of example #2, and into the workspace. The yellow diamonds are pull tabs that already have the problem worked out step-by-step. This will allow the students to find the correct answers by sliding that diamond to the left.
Page 2: This is a review of the definition of a quadratic equation. The definition can be pulled out by pulling the pull tab. This page relates to example #2 for finding the roots of a parabola.
Page 3: This page explains the number of solutions or roots a quadratic equation can have. Each example has a pull tab of what the graphs look like. Three students will come up to the SMART Board to pull the tabs and reveal the roots. They will then emphasize the roots by using the magic marker tool they learned how to use in a previous lesson.
Page 4: In this section, I will select 3 teams of 2 students each to take a place at a section of the white board. Each team will be assigned a problem to graph on the board. Once complete, they will reveal their answer to the class, then proceed to the SMART Board to uncover the correct answer. Underneath each box, is a screen shot of what each graph looks like.
Page 5: This page explains what a root is. It also gives a physical description of it as well. There are three pull tabs on this page. The first pull tab, the math books, gives the definition of a root. The next pull tab, the chalkboard, tells the students that when looking for the roots, y will always be zero. Lastly, the pi symbol is a pull tab that determines the roots of the equation given. A student will come up to the SMART Board and erase over the graph; arrows will appear to show where the roots are.
Page 6: These steps are all pull tabs. There is also an example to do with the students. First, students will come up in succession to reveal numbers 1 through 6. There is the graph of the equation as well as the table both taken from a snapshot using TI-Smartview. The x column can be erased by a student to show the roots.
Page 7: This is another example to do with the students. This equation first needs to be put into standard form by a student, using the work area provided. A student will show the work on the SMART Board, and then click on the grey boxes to compare the work to the answers.
Pages 8-13: These are independent practice problems.
Assessment
- Students will be assessed on participation in the SMART Notebook lesson.
- Students will be assessed on their classwork problems.
- Students will be assessed on the attached worksheet.
- Final assessment will come after the Unit exam is given.
