Rules for Input-Output Tables

Mr. Dell guides students through the process of determining rules for in and out tables. He demonstrates how to identify patterns and apply mathematical operations to complete tables. The video covers two examples, each with a unique rule, and emphasizes the importance of checking work by applying the rule in reverse. The tutorial is part of CPM Course 3, Section 3.1.1, and aims to enhance students' problem-solving skills in algebra.

What is the main objective when working with in and out tables?

• To calculate the average of inputs

• To memorize all possible outputs

• To determine the rule that connects inputs to outputs

• To find the sum of all numbers

Which operation was first considered to transform 2 into 8 in the first table?

• Division by 2

• Subtraction of 2

• Addition of 6

• Multiplication by 4

What was the correct rule discovered for the first table?

• Subtract 2

• Multiply by 4

• Multiply by 3 and add 2

• Add 6

How do you reverse the rule 'multiply by 3 and add 2' to find the input from an output?

• Subtract 2 and divide by 3

• Add 2 and multiply by 3

• Divide by 3 and add 2

• Multiply by 3 and subtract 2

What was the initial hypothesis for transforming 2 into 5 in the second table?

• Add 3

• Multiply by 2

• Divide by 2

• Subtract 1

What rule was ultimately found to be correct for the second table?

• Multiply by 2.5

• Subtract 1

• Add 3

• Multiply by 2

How do you reverse the rule 'multiply by 2.5' to find the input from an output?

• Subtract 2.5

• Multiply by 2.5

• Divide by 2.5

• Add 2.5

What was the initial hypothesis for transforming 4 into 3 in the third table?

• Divide by 2

• Add 1

• Multiply by 2

• Subtract 1

What rule was ultimately found to be correct for the third table?

• Multiply by 2

• Divide by 2 and add 1

• Subtract 1

• Add 2

How do you reverse the rule 'divide by 2 and add 1' to find the input from an output?

• Multiply by 2 and subtract 1

• Divide by 2 and subtract 1

• Subtract 1 and divide by 2

• Multiply by 2 and add 1