How do you find the rule for a function machine?
For example:
What is the rule? Prove it!
7 19
16In rule Out
4
In this lesson you will learn how to find the rule for a
function machine by using a vertical table.
Let’s ReviewLet’s Review
+ 2+ 2+ 2
Pattern: Things that are arranged by a certain rule or a set of rules.
The rule shows a common difference in the pattern.
2, 4, 6, 8, 10…
+ 2Rule
2x1 2x2 2x3 2x4 2x5
12 3 4 5
Let’s ReviewLet’s ReviewHow Does a Function Machine Work?
In rule Out5 =10=10 =10
OutIn
5 5 ?=+-÷X
Rule ?
Let’s ReviewA Common MistakeWhen looking at a function machine,
don’t stop at just one input or output.
Input three or four numbers to prove the rule works on all the input numbers.
Let’s ReviewCore LessonFind the rule
Input RULE Output
7 35
8 40
In rule Out
4 20
+?x 5?x 5
x 5
5 256 x 5 30
Features
+ 5
+ 5
+ 5
+ 5
x 5
x 5x 5
In Out
Let’s ReviewCore LessonWhat is the rule?
In Rule Out
4 16
7 19
Input Rule Output
4 16
6 18
X 4 ?+ 12 ?+ 12
+ 12+ 125 17
+ 127 19
+1+1+1
+1+1+1
+ 12
Input + 12
In this lesson you learned how to find the rule for a function machine by using a vertical
table.
Let’s ReviewGuided PracticeWhat is the rule?
In Rule Out4 363 27
Input RULE Output
3 27
4 36+ 24 ?x 9x 9x 95 45
x 92 18x 91 9
+1+1+1+1
+9+9+9+9
X 9
Input X 9
Let’s ReviewGuided PracticeWhat is the rule? Solve for the
missing output numbers.
In Rule Out
In RULE Out
1
3 18
4 19
5
6
X6 ?
+15 ?+15
+15
+15
+15
+15
16
20
21
+15
Let’s ReviewExtension ActivitiesFind the rule for the pattern. Solve for the
missing in or output.
In Rule Out
In RULE Out
? ?
2 14
3 ?
? 28
5 ?
Let’s ReviewExtension ActivitiesFind the rule and the missing input and
output numbers.
In Rule Out
In RULE Out
? 7
2 12
3 17
? ?
5 27
Let’s ReviewQuick Quiz
What is the rule?
What is the rule?
In Rule Out
In Rule Out
5
10
5
6
10
15
11
17
A) +2 B) +5C) x2 D)
x5
A) x1 B) -2C) x2 D)
+6