Walht : find and continue a pattern - recording result in a table
The information from the above models of the factories, was used and displayed in the table below.
Factory
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
number of grey squares
|
2
|
4
|
6
|
8
|
10
|
12
|
14
|
number of red squares
|
9
|
15
|
21
|
27
|
33
|
39
|
45
|
Number of all squares
|
11
|
19
|
27
|
35
|
43
|
59
|
This information was then used to respond to the questions below.
Questions:
Be ready to answer questions like:
How many grey squares do we need for the eighth factory? 14
How many grey squares will we need for the hundredth factory? 200
What is the number pattern for the grey squares? X2
How many red squares do we need for the ninth factory? 57
If there are 14 grey squares how many red squares are there? 42
What is the number pattern for the red squares? Add 6 and to each and every answer.
How do we get the number of red squares for one factory from the number of red squares in the factory before that? 3
If we have to use exactly 36 red squares in making a factory, how many grey squares
would we need? 12
How many squares do we need altogether for the seventh factory? 59
What is the number pattern that we are getting for the total number of squares? add 9
If we had 35 tiles, which numbered factory could we make? 4
Which of these numbers are not a number of squares for one of these factories: 20, 21,
22, 23? 23
The data from the table was then copied and used to create the graph below .
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