Students will generate a shape or number pattern that follows a given rule.

- slide 2 of 19
### Materials Required

Calculator

- slide 3 of 19
### Generating Patterns

**Part A**1. Look at the pattern below.

- slide 5 of 19
What are the next two shapes?

2. Look at the pattern below.

- slide 7 of 19
What are the next three shapes?

3. Look at the pattern below.

- slide 9 of 19
What are the next two shapes?

- slide 10 of 19
**Part B**Example: Look at the pattern below.

1, 4, 7, 10, 13, 16...

The pattern starts with 1. The rule is add 3.

What are the next 2 numbers in the pattern? 19, 22

Notice that 19 is an odd number and 22 is an even number.

Notice that a feature of this pattern is an odd number and then an even number.

- Look at the pattern below.

1, 3, 5, 7, 9, 11...

The pattern starts with 1. The rule is add 2.

What are the next 2 numbers in the pattern? 13, 15

What is a feature of this pattern? All numbers are odd.

- Look at the pattern below.

2, 4, 6, 8, 10, 12...

The pattern starts with 2. The rule is add 2.

What are the next 2 numbers in the pattern? 14, 16

What is a feature of this pattern? All numbers are even.

- slide 11 of 19
### Answers

**Part A** - slide 13 of 19
**Part B**- 13, 15 All numbers are odd.
- 14, 16 All numbers are even.

- slide 14 of 19
### Individual or Group Work

1. Look at the pattern below. What are the next two shapes?

- slide 16 of 19
2. Look at the pattern below. The pattern starts with 2. The rule is add 3. What are the next two numbers? What is the feature of this rule?

2, 5, 8, 11, 14, 17

3. Look at the pattern below. The pattern starts with 1. The rule is add 4. What are the next two numbers? What is the feature of this rule?

1, 5, 9, 13, 17, 21

4. Look at the pattern below. The pattern starts with 5. The rule is add 5. What are the next two numbers? What is the feature of this rule?

5, 10, 15, 20, 25, 30

5. Generate the first six numbers for a pattern that starts with 5 and has the rule add 3. What is the feature of this pattern? - slide 17 of 19
### Answers

- slide 19 of 19
2. 20, 23

The feature of the pattern is even number and then odd number.

3. 25, 29The feature of the pattern is all numbers are odd numbers.

4. 35, 40The feature of the pattern is all numbers multiples of 5. Another feature is the number ends with a 5 and the next number ends with a 0.

5. 5, 8, 11, 14, 17, 20The feature of the pattern is odd number and then even number.