Building patterns!

WALHT: find and continue a pattern - recording results in a table.

I compared the tile  patterns above to find the rule and used this to complete the table below.

Factory number.	1	2	3	4	5	6	7
Number of grey squares.	2	4	6	8	10	12	14
Number of red square.	9	15	21	27	33	39	45
Number of all square.	11	19	27	35	43	51	59

Using this information, I was then able to answer the questions below.

Questions:

1. How many grey squares do we need for the eighth factory? 16
2. How many grey square will we need for the hundredth factory? 200
3. What is the number pattern for the grey square? Add 2
4. How many red square do we need for the ninth factory? 57
5. If there are 14 grey squares how many red squares are there? 42
6. What is the number pattern for the 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
8. If we have to use exactly 36 red squares in making a factory , how many grey squares would we need? 12
9. How many squares do we need altogether for the seventh factory? 59
10. What is the number pattern that we are getting for the total number of square? Add 9
11. If we had 35 tiles, which numbered factory could we make? 4
12. Which of these numbers are not a number of squares for one of these factories: 20, 21, 22, 23: 23

I entered the information from the table in a spreadsheet and then used that to create the graph below.