Can you complete my pattern?

WALHT: Find and continue a pattern recording results as a table.

Using the information in the model above, I analysed the pattern and put that information into the table below.

Factory Number	1	2	3	4	5
Number of grey squares	2	4	6	8	10
Number of red squares	9	15	21	27	33
Number of all squares	11	19	27	35	43

Rule for grey squares: Add 2.

Rule for red squares: Add 6.

Rule for all squares: Add 8.

Using the information from the table, I was able to respond to the questions below.

1. How many grey squares do we need for the eighth factory?

16.

2. How many grey squares will we need for the hundredth factory?

200.

3. What is the number pattern for the grey squares?

Add 2 or multiply 2.

4. How many red squares do we need for the ninth factory?

57.

5. If there are 14 grey squares how many red squares are there?

45.

6. What is the number pattern for the red squares?

Add 6.

7. How do we get the number of red squares for one factory from the number of red squares in the factory before that?

3 red squares.

8. If we have to use exactly 36 red squares in making a factory, how many grey squares would we need?

11 grey squares.

9. How many squares do we need altogether for the seventh factory?

69 squares.

10. What is the number pattern that we are getting for the total number of squares?

Add 8.

11. If we had 35 tiles, which numbered factory could we make?

4 factories.

12. Which of these numbers are not a number of squares for one of these factories: 20, 21,22, 23?

All of them.

Pattern for horizontal axis	2	4	6	8	10
Pattern for vertical axis	4	8	12	16	20

Finally, I entered and then selected the data from the spreadsheet below to create the graph.

This graph shows the number pattern I am adding to the vertical axis and how many numbers I am adding in a pattern for the horizontal axis.