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Top Drawer Teachers: Noticing patterns

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Top Drawer Teachers
The Australian Association of Mathematics Teachers (AAMT) Inc.
http://topdrawer.aamt.edu.au

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Top Drawer Teachers: Noticing patterns

1. 1. Noticing patterns on theMultiplication Fact GridNoticing patterns: tips
2. 2. Noticing patterns: tips
3. 3. Noticing patterns and generalisingPatterns students might notice and generaliseinclude:• the sum of the digits in the nines facts isalways nine• the sum of the digits in the threes factsis either 3, 6, or 9• every second multiple of two is a multiple offour.Noticing patterns: tips
4. 4. Teaching tips• Noticing patterns can assist studentsto generalise rules for divisibility.For example, if the sum of the digits of anumber is 3, 6, or 9 then the number will bedivisible by 3, without any remainder.Noticing patterns: tips
5. 5. Teaching tipsRecognising patterns and relationships based on placevalue understanding assist studentsto solve multi-digit computations mentally.For example,4 × 6 = 24 4 × 600 =24004 × 60 = 240 400 × 6 = 240040 × 60 = 2400 4000 × 0. 6 = 2400Ask students to explain how these are alike and different.Noticing patterns: tips
6. 6. Teaching tipsRecognising patterns and relationships based on placevalue understanding assist studentsto solve multi-digit computations mentally.For example,4 × 6 = 24 4 × 600 =24004 × 60 = 240 400 × 6 = 240040 × 60 = 2400 4000 × 0. 6 = 2400Ask students to explain how these are alike and different.Noticing patterns: tips