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Lesson 1.2.1 Problems 1-54 to 1-57. Be sure to read the directions to each question carefully!!!. Problem 1-54. Everyone in the group will start out with the same size rectangle!!

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Lesson 1.2.1 Problems 1-54 to 1-57


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lesson 1 2 1 problems 1 54 to 1 57
Lesson 1.2.1Problems 1-54 to 1-57

Be sure to read the directions to each question carefully!!!

problem 1 54
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.
problem 1 55
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 - ?)

problem 1 56
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.
problem 1 57
Problem 1-57
  • Make one graph for the group.
  • Use complete sentences when explaining the relationship.

My Graph Calculator Graph

problem 1 58
Problem 1-58
  • Stand-alone poster.
homework
Homework
  • Problems 1-59 through 1-65
  • Problems 1-66 through 1-71
  • Problems 1-72 through 1-77 (tonight)