Day 1

 

Objectives:

Student will be able to graph a quadratic function of the form y = ax^2.

Procedure:

Graph the following equations of the form y = ax^2 on the graphs provided.
Use the graphing calculator to check your graphs.

1. y = x^2

2. y = 2x^2

3. y = 4x^2

4. y = -x^2

5. y = -2x^2

6. y = -4x^2

 

Guided Practice:

Students go to overhead using the TI-83 viewscreen to model graphing of the functions, and give an oral
explanation of observations noted above.

 

Closure: Students summarize observations of the quadratic functions and make note cards for the day's lesson.

 

 

 

Day 2 Parameter Investigation of the effect of 'k' on the equation y = x^2 + k.

Objectives:

 

The student will be able to predict the direction of the graph, the vertex point and whether the vertex point is a maximum or minimum point.

The student will be able to determine the axis of symmetry, and the x-intercepts of the graph of the function.
The student will be able to determine the domain and the range of the quadratic function.

Procedure:

Graph the following equations of the form y = x^2 + k on the
graphs provided.
Use the graphing calculator to check your graphs.

1.

2.

3.

4.

5.

6.

Students will note observations for each graph independently:

(1) direction of graph ( up or down)
(2) vertex, written as an ordered pair
(3) Is the vertex point a minimum or a maximum point?
(4) Axis of symmetry, written as an equation, 'x = __'

(6) Domain, Range
(7) Does the graph shift up or down the 'y' axis? by how many units?

 

Guided Practice:

Students go to overhead using the TI-83 viewscreen to model graphing of the functions, and give an oral
explanation of observations noted above.

 

Closure: Students summarize observations of the quadratic functions and make note cards for the day's lesson.

 

 

 

Day 3

Objectives:

The student will be able to predict the direction of the graph, the vertex point and whether the vertex point is a maximum or minimum point.
The student will be able to determine the axis of symmetry, and the x-intercepts of the graph of the function.
The student will be able to determine the domain and the range of the quadratic function.

 

Procedure:


Graph the following quadratic function by using its vertex, and axis of
symmetry and the direction of the graph.
Use the graphing calculator to check the correctness of the graph.

Example 1: y = x^2 +3

Step 1: Note predictions - (a) direction of graph__________
---------------------------(b) vertex __________________
---------------------------(c) shift up or down y axis? by how many units?____,______

 

Example 2:

 

 

 

Example 3:

Guided Practice:

Students go to overhead using the TI-83 viewscreen to model graphing of the functions, and give an oral
explanation of observations noted above.

 

Closure: Students summarize observations of the quadratic functions and make note cards for the day's lesson.