Exploring Input and Output Tables in Math

What analogy is used to explain input and output tables?

• A calculator

• A microwave or oven

• A computer

• A television

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What does an input and output table resemble?

• A mathematical formula

• A machine

• A puzzle

• A game

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the purpose of input and output tables?

• To confuse students

• To solve puzzles

• To identify patterns and rules

• To practice addition and subtraction

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CCSS.3.OA.D.9

What example is given to explain the concept of input and output?

• Ice melting in the sun

• Kernels and popcorn in a microwave

• Water in a filter

• Paint drying on a wall

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Which operations can make a number larger?

• Subtraction and division

• Addition and subtraction

• Multiplication and addition

• Division and multiplication

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CCSS.4.NBT.A.2

What is the first step in finding a rule in an input and output table?

• Applying the rule to all number pairs

• Choosing an operation

• Identifying if the output number is larger or smaller

• Testing the rule with a missing value

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Why was multiplication ruled out as the operation for the table?

• It was too complex

• It did not fit all number pairs

• It resulted in a negative number

• It made the number smaller

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CCSS.7.EE.B.3

How do we know if a rule works for a table?

• It simplifies the numbers

• It works for all sets of numbers

• It only uses addition

• It makes all outputs larger

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What operation was finally chosen as the rule for the table?

• Division

• Subtraction

• Multiplication

• Addition

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CCSS.5.OA.B.3

What was the missing value when applying the discovered rule to the number 14?

• 54

• 44

• 34

• 24

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CCSS.5.OA.B.3