Buulding Patterns

Walht: The data from the table was then copied and used to create the graph below which shows the number pattern for grey tiles and red tiles.

Here is another sequence of factories. Complete the table for this pattern.

From interpreting the information above I created the table below.

Factory number:	1	2	3	4	5
number of grey squares	2	4	6	8	10	x2
number of red squares	9	15	21	27	33	+6
number of all squares	11	19	27	35	43	+8

This information was used to respond the the questions below.

1. how many greys do you need for the eighth factory = 16 the rule is (+2)
2. how many grey squares will we need for the hundredth factory =  200.
3. The answer is +2.
4. How many red squares do we need for the ninth factory? 54
5. if there are 14 grey squares how many red squares are there? 42.
6. What is the number pattern for the red squares? +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? 11.

   9.How many squares do we need altogether for the seventh factory? 56

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

+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 - 20, 22, 23

Following this, I selected and copied the numerical data from the table to create the graph below.