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Patterns & Rules

Idea 21of 21Builds onGraph the savings

Spending down, four ways

What do the four ways look like when money goes down?

Today you'll discover

  • a shrinking pattern's rule and table
  • an expression that takes away
  • a graph whose dots drop

Think firstMaya has $60 and spends $8 a week

What kind of pattern is Maya's money?

Decide first, then press Next. Watch the money go down in every one of the four ways.

Three boxes: has $60 now, spends $8 each week, stop at $15 or less. Then the rule sentence, a table from week 0 at $60 down to week 6 at $12, the expression 60 minus 8x, and a graph whose dots drop to the right, with the week 6 dot ringed below a dashed line at $15.

See the whole ideathe big idea and the key word, in one place

The big idea

A shrinking pattern starts high and takes away the same amount each time.

Compare themGrowing: 5x + 15, and the dots climb. Shrinking: 60 − 8x, and the dots drop. Same four ways, opposite direction.

Easy to get wrongIn 60 − 8x the start comes first. 8x − 60 is a different rule, below zero at the start.

Key word

representation
one way of showing a pattern: a rule, a table, an expression or a graph

Ready to use it?

  • Show a shrinking pattern as a rule, a table, an expression and a graph.
  • Find when a shrinking pattern reaches its stop.
Practise this idea