What

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Whats My Rule?

• JoeyLynn Paquette

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Whats My Rule?

• Variability and Change

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What you can do after seeing this presentation

• Identify and describe predictable changes and
  patterns
• Make your own predictions

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Predictable Changes

• Predictable changes are changes that we expect to
  happen.
• The seasons of the year winter changes to
  spring, spring changes to summer, and summer
  changes to winter.
• Babies grow into toddlers, toddlers into
  children, children into teenagers, teenagers into
  adults.
• As you get older, you grow taller and heavier.

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Patterns

• Patterns make predictable changes.
• Example A plant grows 2 inches taller every
  week. It started growing when it was one inch
  tall. How tall do you predict it will be on the
  seventh week?

Week Height
1 1 inch
2 3 inches
3 5 inches
4 7 inches
5 9 inches
6 11 inches
7 ?
Get more practice with patterns. Dont forget to
check your answers!
Then, play a pattern game online!
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Making Pattern Rules

• Did you predict the plant would be 13 inches tall
  the seventh week?
• In a way, the plant made a rule it must grow 2
  inches every week. Since it was 11 inches tall on
  the sixth week, the plant will be 112 inches on
  the seventh week.

Week 1 2 3 4 5 6 7
Height (in.) 1 3 5 7 9 11 13

• We can make up different rules. For example, we
  can make the rule the plant grows 3 inches each
  week.

Week 1 2 3 4 5 6 7
Height (in.) 1 4 7 10 13 16 19
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Number Machines

• Number machines have rules.
• A number machine works like this a number called
  the input is put into the machine, and another
  number, called the output comes out. The machine
  computes the output using the input and the rule.

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Inputs and Outputs

• The output is different for each value of the
  input.
• For each input, there is only one output.

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Whats my rule?

• An important part of understanding patterns is
  being able to determine the rule given the inputs
  and outputs.

Whats my rule?
Input 0 1 2 3 4 5
Output 0 3 6 9 12 15
Hint If I put in 0, the output is 0. If I put in
1, the output is 3. If I put in 2, the output is
6 .What is my rule?
Check your answer, and get more practice with
guessing the rule.
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Lets Be Mathematicians

• Older students and mathematicians have special
  names for what we have been calling the input and
  output. They call them variables.
• The rule has a special name, too. It is called a
  function.
• And, remember a pattern is a repeated design or
  reoccurring sequence.
• If you need more help with these terms or if you
  would like to see more examples using these
  terms, check out A Maths Dictionary for Kids.

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Resources

• A Maths Dictionary for Kids
• Whats My Rule?
• MI CLiMB
• Principles and Standards for School Mathematics
• Intermath

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Whats My Rule?

• This PowerPoint presentation was created by J.
  Paquette.