This is the first step you take in order to create a formula for a tile pattern.
What is draw a table or chart?
100
This is the square root of 121.
What is 11?
100
This is the formula for the total length of the following brick pattern:
SSLSSLSSLSS
What is 8S + 3L = Total Length of Pattern ?
200
20x + -3x + 2xy - 5x simplified
What is 12x + 2xy?
200
60(-3n + 2n - 4x)
What is -180n + 120n - 240x --> -60n - 240x?
200
Path 1 - 2 black 5 white
Path 2 - 3 black 8 white
Path 3 - 4 black 11 white
These are three observations you can make about the information above
What are
(1) black tiles go up by one
(2) white tiles go up by 3
(3) If you multiply the Path # by 3 and add 2, you will get the number of white tiles.
200
These are the first twelve perfect square numbers.
What is 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144 ?
200
This is the formula for the total length of the following pattern:
SLLLLSSLLLSSSLL
What is 9L + 6S = Total Length of the Pattern ?
300
-x + 7n - 40y - 10x simplified
What is -11x + 7n - 40y?
300
-3(15x - 3x + 10x)
What is -45x + 9x - 30x --> -66x?
300
This would be a chart that fits the following formula:
P x 1 = B
(P x 5) + 3 = W
What is ANSWERS WILL VARY
300
This is the explaination for why 16 is known as a perfect square.
What is 16 is a perfect square because if you have 16 little squares you can put them together to make one larger perfect square ( 4 Length and 4 Width)?
300
Using the following formula, this is the total length of the pattern if Standing bricks measure 6cm and bricks Lying flat measure 10cm.
3S + 7L = Total Length of the Pattern
What is 3(6) + 7(10) = Total Length of Pattern
18 + 70 = 88cm ?
400
90ab - 9b - 50a + 20b simplified
What is 90ab + 11b - 50a?
400
7(-2 + 4n + 3x + 2n)
What is -14 + 28n + 21x + 14n --> -14 + 42n + 21x?
400
This would be a formula for the following tiles pattern:
Pattern # Black Tiles White Tiles
1 5 2
2 7 3
3 9 4
What is (P x 2) + 3 = B and P + 1 = W ?
400
The square root of 20 is a number between these two numbers.
What is 4 and 5 ?
400
Looking at the formula below, this would be the number of total tiles needed for 5 of the patterns:
6S + 2L = Total Length of Pattern
What is 5(6S + 2L) =
30S + 10L ---> 40 bricks?
500
5(-x + 3x - 2x + 3n) simplified
What is -5x + 15x - 10x + 15n --> 15n?
500
12(-3 - 4n + -5n + 6)
What is -36 - 48n - 60n + 72 --> 36 - 108n?
500
This would be a formula for the following tile pattern:
Pattern # Black Tiles White Tiles
1 1 10
2 4 20
3 9 30
4 16 40
What is P x P = B and P x 10 = W ?
500
The square root of 67 is a number between these two numbers.
What is 8 and 9?
500
Looking at the formula below, this would be the formula for the length of 9 of those patterns:
(37S + 20L) = Total Length of Pattern