How do you find the rule in a reducing pattern?

For example:

Find the Rule. What are the next 4 steps: 50, 40, 31, 23, 16…..

In this lesson you will learn about determining the rule in

patterns that decrease by using a table.

Let’s ReviewLet’s Review

Steps and Rules

15, 13, 11, 9…..

- 2 - 2 - 2 - 2

Step 1

Step 2

Step 3

Step 4

Step 7

RULE

Let’s ReviewA Common Mistake

When finding the rule in a pattern, don’t assume all patterns increase.

18, 15, 12, 9 ...

- 3 - 3 - 3 - 3

Let’s ReviewCore LessonUse a table to check for the rule being

used on the pattern.

18, 15, 12, 9 ...

- 3 - 3 - 3 - 3

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

18 15 12 9

-3 -3 -3-3

Step 1

RULE -3 -3 -3

6 3 0

Let’s ReviewCore Lesson

Find the rule: 50, 40, 31, 23, 16…

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step 8

50 40 31 23 16

RULEStep1 -10

- 10 - 9 - 8 - 7

Step2 -9 Step3 -8 Step4 -7 Step5 -6 Step6 -5 Step7 -4

10 5 1

As the step increases, the amount subtracted reduces.

In this lesson you learned about finding the rule for

decreasing patterns by using a table.

Let’s ReviewGuided Practice

Find the rule. Find the next 3 numbers33, 28, 23, 18…..

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

33 28 23 18

RULE

- 5 - 5 - 5 - 5

3

step1-5 step2-5 step3-5 step4-5 step5-5

8

step6-5

13

Let’s ReviewExtension Activities

Find the 7th number.

50, 48, 46, 44…

Describe how you solved for the 7th step number.

Let’s ReviewExtension Activities

Find the next four numbers in the pattern.42, 36, 30, 24…

Let’s ReviewQuick Quiz

What is the the next number in the pattern? 12, 10, 8, 6…A) 2 B) 16 C) 20 D) 4

What are the next two numbers in this pattern? 100, 90, 81, 73…. A) 70, 80… B) 66, 65… C) 66, 60 D)55, 20