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Generate a pattern from a rule

A pattern is generated by starting with a given number, shape, or arrangement and applying a stated rule consistently to produce each succeeding term, such as adding or subtracting the same small whole number or repeating a simple change. The learner connects the rule to the relationship between consecutive terms and represents the pattern with ordered numbers, objects, or a table; general formulas, multiplicative rules, and complex positional or recursive patterns are beyond this scope.

Detailed Explanation: Generate a pattern from a rule

A pattern is a list that follows a rule. To generate the pattern, start with the given number and use the rule again and again.

Example: Start with 44. Add 33 each time. Write the first five numbers.

  1. Start with 44.
  2. Add 33: 4+3=74+3=7.
  3. Add 33 again: 7+3=107+3=10.
  4. Add 33 again: 10+3=1310+3=13.
  5. Add 33 again: 13+3=1613+3=16.

So, the pattern is:

4, 7, 10, 13, 164,\ 7,\ 10,\ 13,\ 16

Check the pattern by comparing neighboring numbers:

  • 44 to 77: add 33
  • 77 to 1010: add 33
  • 1010 to 1313: add 33
  • 1313 to 1616: add 33

Each number follows the rule, so the pattern is correct.

Learn by doing: Generate a pattern from a rule

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Patterning - Concept Intro - Rule to Term List


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