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Think About a Plan A moving company sells different sizes of boxes as shown. The extra-large box is one size larger than the third box shown. What is its volume?
Image Long Description
- Identify a pattern of the dimension changes.
- What is the formula for the volume of a rectangular prism?
- Use the graph shown.
- Identify a pattern of the graph by making a table of the inputs and outputs.
- What are the outputs for inputs 6, 7, and 8?
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Collecting Jay has a rare baseball card collection. He currently owns 10 baseball cards. Each month, he purchases a new card for his collection. Write a model to represent the number of cards in Jay's collection after n months.
- Use the figures below.
Image Long Description
Figure (Input) |
Process Column |
Number of Squares (Output) |
1 |
□
white square
|
□
white square
|
2 |
□
white square
|
□
white square
|
3 |
□
white square
|
□
white square
|
4 |
□
white square
|
□
white square
|
5 |
□
white square
|
□
white square
|
- Draw the next two figures.
- Copy and complete the table to find the number of squares in each figure.
- What is the number of squares in the nth figure? Explain your reasoning.
Copy and complete each table.
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Input |
Output |
1 |
5 |
2 |
9 |
3 |
13 |
4 |
17 |
5 |
□
white square
|
⋮ |
⋮ |
n
|
□
white square
|
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Input |
Output |
1 |
2 |
2 |
−3 |
3 |
−8 |
4 |
−13 |
5 |
□
white square
|
⋮ |
⋮ |
n
|
□
white square
|
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Input |
Output |
1 |
3 |
2 |
−1 |
3 |
−5 |
4 |
−9 |
5 |
□
white square
|
⋮ |
⋮ |
n
|
□
white square
|
C Challenge
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Open-Ended Write the first five numbers of two different patterns in which 12 is the third number.
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Reasoning For the past 4 years, Jesse has grown 3 inches each year. He is now 15 years old and is 5 feet 6 inches tall. He predicts that when he is 20 years old, he will be 6 feet 9 inches tall. What would you tell Jesse about his prediction?