Algebra 1 Rules and Robots. Single machines PROCESSOR INPUT OUTPUT Imagine that we have a robot to help us make patterns. 6 7 10 + 5 1 2 5.

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Presentation transcript:

Algebra 1 Rules and Robots

Single machines PROCESSOR INPUT OUTPUT Imagine that we have a robot to help us make patterns

Single machines PROCESSOR INPUT OUTPUT Imagine that we have a robot to help us make patterns −

Single Machines PROCESSOR INPUT OUTPUT Imagine that we have a robot to help us make patterns ×

Single machines PROCESSOR INPUT OUTPUT Imagine that we have a robot to help us make patterns ÷

Exercises 1 Here are single number machines What is the output since we know the input? a b × c × d ÷ e ÷ f

Exercises 2 Here are single number machines. What is the output since we know the input? a b × c × d ÷ e ÷ f

Inverse machines INVERSE PROCESSOR INPUT OUTPUT Can we calculate the input since we know the output? − 6

Inverse Machines INVERSE PROCESSOR INPUT OUTPUT Can we calculate the input since we know the output? − − 8 + 8

Inverse Machines INVERSE PROCESSOR INPUT OUTPUT Can we calculate the input since we know the output? × × 5 ÷ 5

Inverse Machines INVERSE PROCESSOR INPUT OUTPUT Can we calculate the input since we know the output? ÷ ÷ 4 × 4

Exercises 3 Here are single number machines What is the input since we know the output? a b × c × d ÷ e ÷ f

Exercises 4 Here are single number machines What is the input since we know the output? a b × c × d ÷ e ÷ f

A Broken Processor ?????????? INPUT OUTPUT Imagine that the processor has broken!!!!! ???

A Broken Processor ??????????? INPUT OUTPUT Imagine that the processor has broken!!!!! ??? − 8

A Broken Processor ?????????? INPUT OUTPUT Imagine that the processor has broken!!!!! ??? × 7

A Broken Processor ?????????? INPUT OUTPUT Imagine that the processor has broken!!!!! ??? ÷ 9

Exercises 5 Here are single number machines What is the action since we know what the input and output are? a b × c × d ÷ e ÷ f

Exercises 6 Here are single number machines What is the action since we know what the input and output are? a b × c × d ÷ e ÷ f

Double vision Imagine that we have two robots to help us make patterns The output of machine 1 is input to machine × Machine 1 Machine

Double Vision Imagine that we have two robots to help us make patterns The output of machine 1 is input to machine × 4− Machine 1 Machine

Exercises 7 Here are two stage machines What is the output since we know the input? × a × b × c

Exercises 8 Here are two stage machines What is the output since we know the input? ÷ a ÷ b ÷ c