# Determine the Rule - Grade 4 Common Core Math

```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
patterns that decrease by
using a table.
Let’sReview
Review
Let’s
Steps and Rules
Ste
p1
Ste
p2
Ste
p3
Ste
p4
15, 13, 11, 9…..
RULE
-2
-2
-2
-2
Ste
p7
A Common
Let’s
Review Mistake
When finding the rule in a pattern,
don’t assume all patterns increase.
18, 15, 12, 9 ...
-3
-3
-3
-3
CoreReview
Lesson
Let’s
Use a table to check for the rule
being used on the pattern.
18, 15, 12, 9 ...
Ste
p1
RULE
-3
-3
Step
1
Step
2
Step
3
Step
4
18
15
12
-3
-3
-3
-3
-3
9
Step
5
6
Step
6
3
Step
7
0
-3
-3
-3
-3
CoreReview
Lesson
Let’s
Find the rule:
50, 40, 31, 23, 16…
- 10
RULE
-9
-8
-7
Step 1
Step
2
Step
3
Step
4
Step
5
Step
6
Step
7
Step
8
50
40
31
23
16
10
5
1
Step1 -10 Step2 -9
Step3 -8 Step4 -7
Step5 -6 Step6 -5
Step7 -4
As the step increases, the amount subtracted reduces.
In this lesson you learned
decreasing patterns by using
a table.
Guided
Practice
Let’s
Review
Find the rule. Find the next 3 numbers
33, 28, 23, 18…..
-5
RULE
-5
-5
-5
Step 1
Step
2
Step
3
Step
4
Step
5
Step
6
Step
7
33
28
23
18
13
8
3
step1-5
step2-5 step3-5 step4-5 step5-5 step6-5
Extension
Let’s
ReviewActivities
Find the 7th number.
50, 48, 46, 44…
Describe how you solved for the 7th step
number.
Extension
Let’s
ReviewActivities
Find the next four numbers in the pattern.
42, 36, 30, 24…
Quick
Quiz
Let’s
Review
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
```