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Learning Math Home
Patterns, Functions, and Algebra
 
Session 5 Part A Part B Part C Part D Part E Homework
 
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Session 5 Materials:
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A B C D
Homework

Video

Solutions for Session 5, Part A

See solutions for Problems: A1 | A2 | A3 | A4 | A5 | A6| A7 | A8


Problem A1

The first square requires 4 toothpicks. The second square requires 3 more, bringing the total to 7. Each additional square requires 3 more toothpicks. Here is the completed table:

 

Squares

 

Toothpicks

1

 

4

2

 

7

3

 

10

4

 

13

5

 

16

 

<< back to Problem A1


 

Problem A2

The formula is T = 3S + 1.

<< back to Problem A2


 

Problem A3

Three toothpicks are added each time, so a recursive description is that the nth square will require 3 more toothpicks than the one before it. A formula would be written Tn = Tn-1 + 3.

<< back to Problem A3


 

Problem A4

<< back to Problem A4


 

Problem A5

graph of spreadsheet

<< back to Problem A5


 

Problem A6

If both rules describe the pattern correctly, the values computed by the spreadsheet should be the same as the values in the table. Note that the spreadsheet information in the columns is not the same; the third column contains formulas, and the screen shows the result of these formulas.

<< back to Problem A6


 

Problem A7

Again, the values should be the same, even though the formulas are not.

<< back to Problem A7


 

Problem A8

This should be the same graph as the one you found in Problem A5.

graph of spreadsheet

<< back to Problem A8

 

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