Patterns And Relations Worksheet - Grade 7 Page 22
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461.5
Patterns and Relationships in Tables
Focus
Create a table of values for a relation.
An Input/Output machine represents a relation.
Any Input number can be represented by n.
2n
1
Suppose you input n
8.
What will the output be?
How is the output related to the input?
Sketch an Input/Output machine like this one.
Write an algebraic expression to go in the machine.
➤ Use the numbers 1 to 6 as input.
Input
Output
Find the output for each Input number.
1
Record the input and output in a table
2
like this.
3
➤ How is the output related to the input?
4
5
➤ Describe the pattern in the Output numbers.
6
&
Reflect
Share
Share your work with another pair of classmates.
Describe how you would find the next 3 Output numbers
for your classmates’ Input/Output machine.
How is the output related to the input?
25
1.5 Patterns and Relationships in Tables
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