NumberPatterns-ppt

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Slide 1

Number Patterns

Slide 2

What are patterns? Why are they important? We see patterns all around us. Eg: number of flowers in a cluster, how pages are ordered in books how fruit is arranged in a box… We can learn more about patterns and correctly solve them by observing them and looking for links between pattern parts.

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Number patterns Number patterns can be generally presented in two ways; In straight sequence (linearly) & In related sets and groups In BOTH cases, you will be looking at sequences of numbers with at least 1 missing number. The problem is to find/solve for the missing number

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Number patterns - linear presentation Here are some examples: 2, 4, 6, 8, 10, … 92, 82, 72, 62, … 1, 2, 4, 8, 16, … 5, 6, 10, 12, 15, 18, … Examples

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How to solve number patterns When studying number patterns, it is important to look for the links between the different numbers. Study how the numbers work together - think about the 4 operations (+, -, , ) Eg: 2, 4, 6, 8, ___ +2 +2 +2 +2 Here, we realize we keep ADDING 2 TO THE PREVIOUS NUMBER to get our missing number 10

Slide 6

92, 82, 72, 62, __ 1, 2, 4, 7, 11, __ 5, 6, 10, 12, 15, 18, __ Examples (with solutions) 72 16 5 5 20 Example 1 Example 2 Example 3

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92, 81, 70, 59, __ 1, 5, 25, 125, ___ 2, 5, 11, 23, 47, 95, __ 0, 2, 2, 4, 6, 10, __ 1, 2, 3, 6, 11, 20, 37, __ 45, 35, 27, 21, ___, 15 1,2,3,3,2,1,4,5,6,__,__,__ More examples Try multiplying, then adding Example 4 Example 5 Example 6 Example 7 Example 8 Example 9 Example 10

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Working board (Use inking tool)

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Number patterns - groups presentation Here are some examples: Example 1 33 3 5 7 9 99 ? 55 Example 2 Example 3 3 6 8 4 10 8 5 ? ? Examples

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Number patterns - groups presentation By observation, this pyramid of numbers show numbers starting from 1 in ascending order. Therefore, the next numbers in the set are… Example 1

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Number patterns - groups presentation 33 3 5 7 9 99 ? 55 By observation, the OPPOSITE numbers on the wheel can be gotten by multiplying 11. Therefore, the missing number here is… 77 Example 2

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3 6 8 4 10 8 5 ? ? Number patterns - groups presentation Example 3 By observation, these discs of numbers show numbers that relate together in 2 ways- ADDING and MULTIPLYING by 2. Therefore, the next numbers in the set are… 10 12

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More examples (1,3,6), (2,6,9), (3,9,12), (__,__,__) Example 4 4 6 6 3 Example 5 (Recoloured for emphasis) 7 8 9 4 7 ? 10 6 1 2 3 9 1 0 2 5 3 1 2 8 4 1 5 4 7 ? ? ? Example 6 (Recoloured for emphasis)

Slide 14

Working board (Use inking tool)

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