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Extend growing patterns

A growing pattern is an ordered sequence in which each successive term increases according to a consistent, observable rule, such as adding one or another small whole-number amount. Learners extend patterns represented with objects, drawings, or numerals within familiar quantities, preserving the change from one term to the next rather than merely repeating the last term; formal symbolic formulas and complex generalized rules are not included.

Detailed Explanation: Extend growing patterns

A growing pattern gets bigger by following the same change each time. Look at how much is added between terms.

Example: What comes next?

  • Term 1: ●● (=2)(=2)
  • Term 2: ●●●● (=4)(=4)
  • Term 3: ●●●●●● (=6)(=6)
  • Term 4: ??

Step 1: Compare the terms.

From 22 to 44, we add 22.

From 44 to 66, we add 22.

So the rule is add 2 each time.

Step 2: Use the rule on the last term.

6+2=86+2=8

Step 3: Check the pattern.

The next group should have 88 dots:

●●●●●●●●

So, the next number is 88.

Learn by doing: Extend growing patterns

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Patterning - Next in Growing Shape Pattern


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