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Number Patterns
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.
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
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
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
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
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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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
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
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
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
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)
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