Input/Output Operations in Mathematics

This video tutorial introduces grade six students to input/output machines, explaining how they transform inputs into outputs through mathematical operations. It covers basic one-step machines and progresses to more complex two-step machines, providing examples and practice problems to reinforce learning. The tutorial also includes test questions to prepare students for assessments.

What is the primary purpose of an input/output machine in mathematics?

• To generate graphs automatically

• To store data for future use

• To transform inputs into outputs using mathematical functions

• To create random numbers

In the example where the input is 3 and the output is 6, what could be the possible mathematical operation?

• Addition of 4

• Division by 2

• Subtraction of 1

• Multiplication by 2

If an input of 4 results in an output of 8, which operation is likely being used?

• Addition of 4

• Multiplication by 2

• Division by 2

• Subtraction of 2

What pattern is observed in the output when the input increases by 1?

• Output increases by 1

• Output increases by 2

• Output remains the same

• Output decreases by 1

In a two-step machine, what is the first step if the output increases by 3?

• Multiply by 3

• Add 3

• Subtract 3

• Divide by 3

For an input of 1 resulting in an output of 7, what could be the two-step operation?

• Multiply by 3, then subtract 2

• Multiply by 2, then add 5

• Add 6, then multiply by 1

• Multiply by 4, then subtract 1

What is the output rule if the input is multiplied by 2 and then 1 is added?

• Multiply by 2, then add 1

• Subtract 1, then multiply by 2

• Multiply by 3

• Add 2, then multiply by 1