Patterning and Algebra - Review

Linear vs. Non-Linear

100

10, 25, 40, 55, 70...

Linear

200

11, 22, 33, 44, 55...

Linear

300

Give an example of a non-linear pattern.

Answers will vary.

400

What does it mean if a pattern is linear?

The pattern is increasing or decreasing by the same number each time.

500

What does it mean if a pattern is non-linear?

The pattern is increasing or decreasing by a different pattern each time. 

Expression

100

What two things are we looking for when making an expression?

1. Corresponding pattern

2. Zero-value term

200

3, 5, 7, 9, 10

y = 2n + 1

300

4, 14, 24, 34, 44

y = 10n - 6

400

25, 22, 19, 16, 13

y = -3n + 28

500

5, 14, 23, 32, 41

y = 9n - 4

Missing Values

100

Using the expression y=2x+4, find the 6th term.

y = 16

200

Using the expression y=5x-3, find the 9th term.

y = 42

300

Using the expression y=6x+1, find the 3rd term.

y = 19

400

Using the expression y=2x+4, find the 6th term.

y = 16

500

Using the expression y=-3x-7, find the 4th term.

y = -5

Corresponding Pattern

100

Start with 12 and add 3 each time.

12, 15, 18, 21, 24

200

Start with 24 and subtract 7 each time.

24, 17, 10, 3, -4

300

Start with 2 and add 12 each time.

2, 14, 26, 38, 50

400

Start with 5 and subtract 8 each time.

5, -3, -11, -19, -27

500

Start with -30 and add 4 each time.

-30, -26, -22, -18, -14

Extending the Pattern

100

15, 30, 45, 60, 75...

90, 105, 120, 135, 150

200

-3, -6, -9, -12, -15...

-18, -21, -24, -27, -30

300

7, 11, 15, 19, 23...

27, 31, 35, 39, 43

400

2, 5, 8, 11, 14...

17, 20, 23, 26, 29

500

12, 8, 4, 0, -4...

-8, -12, -16, -20, -24