Lesson 1.2.1 Problems 1-54 to 1-57

1. Lesson 1.2.1Problems 1-54 to 1-57 Be sure to read the directions to each question carefully!!!

2. Problem 1-54 • Everyone in the group will start out with the same size rectangle!! • Each shadow box will have a different height; To make shadow boxes with different heights cut different size squares from the corners for each box. • Tables will have input values (x-values) to represent the height and outputs values (y-values) that are calculated by finding the Volume of the shadow box. • Graph the data from your table.

3. Problem 1-53, 1-54

4. Problem 1-53, 1-54

5. Problem 1-55 • How did you calculate the volume of your shadow boxes? • As the height changed, how did that change your length and width? • Draw a diagram of your shadow boxes that could be used for any height. (Write your length and width in terms of height!) • Write an equation to find the volume for a shadow box with any height. • V = ??? (16 - ?) Starting Dimensions: 22cm by 16cm (x) (22 - ?)

6. Problem 1-56 • Answer all questions with complete sentences. • A. Is the Domain limited? Are there some heights you couldn’t use? • How can you tell using each of your multiple representations? • B. Is the Range limited? Are there some Volumes that do not make sense? • C. Should the graph be continuous (all points connected) or discrete (points not connected)? • D. Compared to other graphs you have worked with, how does this one differ? What are the special features. • E. Make as many connections between your multiple representations as you can.

7. Problem 1-57 • Make one graph for the group. • Use complete sentences when explaining the relationship. My Graph Calculator Graph

8. Problem 1-58 • Stand-alone poster.

9. Homework • Problems 1-59 through 1-65 • Problems 1-66 through 1-71 • Problems 1-72 through 1-77 (tonight)