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Extend growing number patterns

A growing number pattern is an ordered sequence of whole numbers in which each term is generated by a consistent rule, commonly adding the same amount, such as counting by 2s, 5s, or 10s. Learners identify the relationship between consecutive terms, extend the sequence, and represent the change on a number line or in a table; the focus is on simple additive patterns within familiar whole-number ranges, not multiplicative rules, algebraic formulas, or generalized sequences.

Detailed Explanation: Extend growing number patterns

A growing number pattern gets bigger by following the same rule each time. To extend the pattern:

  1. Compare two numbers next to each other.
  2. Find how much was added.
  3. Add that same amount to the last number.

Example: Extend the pattern by three numbers:

4, 9, 14, __, __, __4,\ 9,\ 14,\ \_\_,\ \_\_,\ \_\_

Compare the first two terms:

9−4=59-4=5

The pattern grows by adding 55 each time. We can show this on a number line:

4→+59→+514→+519→+524→+5294 \xrightarrow{+5} 9 \xrightarrow{+5} 14 \xrightarrow{+5} 19 \xrightarrow{+5} 24 \xrightarrow{+5} 29

So, add 55 to each number:

  • 14+5=1914+5=19
  • 19+5=2419+5=24
  • 24+5=2924+5=29

The completed pattern is:

4, 9, 14, 19, 24, 294,\ 9,\ 14,\ 19,\ 24,\ 29

The rule is add 55 each time.

Learn by doing: Extend growing number patterns

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