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4.03 Number machines

Lesson

Are you ready?

You may have already seen some patterns, try this one.

Write the next number in the pattern:

  1. $1$1, $3$3, $5$5, $7$7, $9$9, $11$11, $\editable{}$

Just like when you're counting, patterns can continue forever. You can always add or subtract the same amount to continue a pattern.

Learn

Let's look at how number machines can be used to continue patterns when you have the rule.

Apply

Think about the following function machine:

  1. Complete this table of inputs and outputs:

    Input Output
    $8$8 $\editable{}$
    $9$9 $\editable{}$
    $10$10 $\editable{}$

 

Remember!
  • Number machines show the relationship between the input (starting number) and output (answer).
  • If you are given the output, you can find the input by reversing the rule.

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