Post on 06-Feb-2016
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How do you find the input numbers for a function machine?
For example:What is the missing input number?
10
9In ÷ 2 Out
In this lesson you will learn how to find the missing inputs
for a function machine by using a vertical table.
Let’s ReviewLet’s ReviewHow Does a Function Machine Work?
In rule Out5 =10=10 =10
OutIn
5 x2=
Rule ?
Let’s ReviewA Common Mistake
When looking at a function machine, don’t stop at just at one input or
output.
Input three or four numbers to prove the rule works on all the input numbers.
Let’s ReviewCore Lesson Find the input numbers.
Input RULE Output
x 8
x 8
x 8 48x 8 56x 8 64
In rule Outx 8
In Out
? x 8=6464 ÷ 8= ?
8
765
4 3240
+8+8+8
+8
+1+1+1+1
? x 8= 56
56 ÷8= ?
? x 8=48
Let’s ReviewCore LessonWhat are the input numbers?
In Rule Out
Input Rule Output
÷2
÷2 8
÷2 9
÷2 10
+1+1+1
÷2
7+1
10 x 2= ?? ÷ 2= 10
9 x 2= ?
20
18
8 x 2= ? 16
7 x 2= ? 14 +2
+2
+2
In this lesson you learned how to find the missing inputs for a function machine by using a
vertical table.
Let’s ReviewGuided PracticeWhat are the missing input numbers?
In Rule Out
Input RULE Output
x 5
x 5
x 5 40
x 5 45
x 5 50
X 5
+5+5+5+5
35
30
50 ÷ 5= ?
? x 5= 50
? x 5= 45
? x 5= 40
10
9
8
? x 5= 35
7
? x 5= 30
6
Let’s ReviewGuided PracticeSolve for the missing input numbers.
In Rule Out
In RULE Out
+15
+15 18
+15 19
+15 20
+15 21 ? +15= 21
+15 21-15= 6
6 20-15= 5 5
19-15= 4 432 17
Let’s ReviewExtension ActivitiesFind the input numbers for the pattern.
In x7 Out
In RULE Out
x7 ?
x7 14
x7 ?
x7 28
x7 ?
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
24
What is the missing input number?
What is the missing input number?
In x8 Out
In ÷10 Out
? A) 3 B) 4C) 5 D) 24
A) 50 B) 1C) 45 D)
100
? 10