Welcome to the Problem Of The Week (P.O.T.W.)

 

NUMBER PATTERNS 2

 

This week’s question is: Use toothpicks to copy these rectangular shapes.  Build the next three shapes.  How many toothpicks are needed to build five squares?

 

1)

 

 

2)

 

 

 

3)

 

 

 

 

4)

 

 

 

 

 

 

Complete the chart below to record the number of squares and the matching number of toothpicks in your constructions.  Predict the number of toothpicks needed to make 75 squares.  100 squares.  1000 squares.  (13 marks) EXPLAIN HOW YOU ARRIVED AT YOUR SOLUTION.  (2 marks)

 

Number of squares

1

2

3

4

5

6

7

8

9

10

75

100

1000

Number of sticks

 

 

 

 

 

 

 

 

 

 

 

 

 

 

REMEMBER TO INCLUDE YOUR UNITS AND SHOW ALL YOUR WORK OR YOUR WORK WILL NOT BE CORRECT!!!

 

Have fun!

 

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