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Identify growing patterns

A growing pattern is an ordered sequence of quantities, shapes, or arrangements in which each successive term increases by the same small whole-number amount. The learner identifies and describes this additive change, represents it with drawings or numerals, and predicts the next term, typically within familiar small-number ranges; multiplicative growth, algebraic rules, and formal generalizations of the pattern are beyond this level.

Detailed Explanation: Identify growing patterns

A growing pattern gets bigger by the same number each time.

Look at this pattern:

  • Term 1: ●● = 22
  • Term 2: ●●●● = 44
  • Term 3: ●●●●●● = 66

Step 1: Count each group.
The numbers are 22, 44, and 66.

Step 2: Compare two groups next to each other.
From 22 to 44, the pattern grows by 22.
From 44 to 66, it also grows by 22.

So, the pattern adds 22 each time.

Step 3: Draw and count the next group.
Add 22 dots to 66:

●●●●●● + ●● = ●●●●●●●●

There are 88 dots.

The next term is 88.

Learn by doing: Identify growing patterns

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Patterning - Next in Growing Shape Pattern


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