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Properties and Transformations of Quadratic Functions Activity Overview: This activity encourages students to apply the cause and affect between the coefficients and constant term in either standard or vertex form of a quadratic function and the properties and transformations of these functions. Materials: Graphing calculator Student copies of each group activity Graph paper Time: 1.5 day Teacher Directions: 1. Divide students into groups of 3 – 4. 2. There are 8 activity assignments, 4 in standard form and 4 in vertex form. Identify which assignments best fit each class so as many different properties and transformations can be completed by the groups in a class. Give each group an activity assignment and graph paper. 3. Allow each group class time to produce a presentable document, one for each group that could be on posters for displaying in the room or notebook paper to be displayed on a bulletin board. If you use a bulletin board for displaying the completed student work, the board could be divided into the transformation categories from the warm up activity. 4. The teacher may need to assist students with creating a quadratic function that demonstrates multiple transformations for standard form. Remind students to refer back to their notes from Lesson 1 on properties of quadratic functions in standard form. Group Names: 1. Make up a quadratic function in the vertex form. 2. Graph your function on graph paper. Show the points you used to graph your function in a table. 3. Show and explain each step to find the vertex of your function. 4. Describe the transformations of your quadratic function and explain how to predict these transformations from the equation. Group Names: 1. Make up a quadratic function in standard form. 2. Graph your function on graph paper. Show the points you used to graph your function in a table. 3. Show and explain each step to find the vertex of your function. 4. Describe the transformations of your quadratic function and explain how to predict these transformations from the equation. Group Names: 1. Make up a quadratic function in the vertex form. 2. Graph your function on graph paper. Show the points you used to graph your function in a table. 3. Show and explain each step to determine the direction your function opens. 4. Describe the transformations of your quadratic function and explain how to predict these transformations from the equation. Group Names: 1. Make up a quadratic function in standard form. 2. Graph your function on graph paper. Show the points you used to graph your function in a table. 3. Show and explain each step to determine the direction your function opens. 4. Describe the transformations of your quadratic function and explain how to predict these transformations from the equation. Group Names: 1. Make up a quadratic function in the vertex form. 2. Graph your function on graph paper. Show the points you used to graph your function in a table. 3. Show and explain each step to determine the axis of symmetry of your function. 4. Describe the transformations of your quadratic function and explain how to predict these transformations from the equation. Group Names: 1. Make up a quadratic function in standard form. 2. Graph your function on graph paper. Show the points you used to graph your function in a table. 3. Show and explain each step to determine the axis of symmetry of your function. 4. Describe the transformations of your quadratic function and explain how to predict these transformations from the equation. Group Names: 1. Make up a quadratic function in the vertex form. 2. Graph your function on graph paper. Show the points you used to graph your function in a table. 3. Show and explain each step to determine the y-intercept of your function. 4. Describe the transformations of your quadratic function and explain how to predict these transformations from the equation. Group Names: 1. Make up a quadratic function in standard form. 2. Graph your function on graph paper. Show the points you used to graph your function in a table. 3. Show and explain each step to determine the y-intercept of your function. 4. Describe the transformations of your quadratic function and explain how to predict these transformations from the equation.

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views: | 4 |

posted: | 10/3/2012 |

language: | English |

pages: | 9 |

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