1. Patterns
6.3.7
I CAN use algebraic expressions to solve numeric and geometric patterns.

2. There are patterns in art.

3. There are patterns in nature.

4. A sequence is an ordered set of numbers
A sequence is an ordered set of numbers. Each number in a list is called a term of the sequence. An Arithmetic sequence can be found by adding the same number to the previous term. 8, 16, 24, 32, … +8 +8 +8

5. In a Geometric pattern, the sequence in number 2 is built on the sequence on number 1 and so forth. For example:

6. Patterns
6.3.7
I CAN use algebraic expressions to solve numeric and geometric patterns.

7. My Function Machine takes a value called input and performs one or more operations on it according to a “rule” to produce a new value called the output.
input
output

8. What’s my rule?
x + 5 5
Input
(x)
Output (y) 5 1 6 2 7 3 ? 8
The function rule describes the relationship
between each input and output.

9. Today, we ARE learning to use algebraic expressions and properties to analyze numeric and geometric patterns – SPI 6.3.7

10. Now, let’s try some examples!

11. What’s the rule for this one?
Correct!
Divide by 2,
or x/2

12. See if you can guess the 2-step rule!
Input
(x)
Output
(y) 1 5 2 9 3 13
Correct!
4x + 1

13. Practice Questions G

14. Practice Questions
Each number in the pattern below has the same relationship to the previous number n. 25, 40, 55, 70, 85, … Write an expression that could be used to calculate the next number in the number pattern above?
n + 15

15. Practice Questions G

16. Practice Questions
Look at the number pattern. 12, 19, 26, 33, 40, … Write an expression that can be used to describe the next term in the pattern in terms of the previous number x?
x + 7

17. Practice Questions G

18. Practice Questions
Olivia created the pattern of number below by using an expression. 5, 9, 17, 33, 65, 129, … Write an expression that could have been used to create the part of number pattern above, when x represents the previous number in the pattern?
2x -1