PR-6102UK Investigating Number Patterns 3

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More Patterns in the Addition Table 1 Look at the following addition table. 2 Refer to the table above. a Draw some crosses of your own on the addition table. 3 Make it bigger. a Step 1: Look at the cross shown on the table and write down the numbers in the top left corner and the bottom right corner and multiply them. x = b Step 2: Multiply the numbers in the top right and bottom left corners of the cross. x = c Step 3: Subtract the smaller answer from the larger. – = b Multiply the numbers in opposite corners of the cross and then subtract the smaller from the larger number. c What did you notice? x = x = - = a Try drawing a larger cross on the addition table. For example, a 4 x 4 cross would look like this: Repeat the steps above for two different 4 x 4 crosses. x = x = - = Viewing sample x = x = x = - = x = - = b What did you notice about the answers? 10 • Investigating Number patterns • © R.I.C. Publications ® • www.ricpublications.com.au •
Place Value Patterns – 1 1 Try the following multiplications. a 26 x 1 = A calculator will help. b 26 x 10 = c 26 x 100 = d 26 x 1000 = e 26 x 0.1 = f 26 x 0.01 = g 26 x 0.001 = h 26 x 0.0001 = 2 See a pattern? 3 How is that? a Describe the pattern you can see. b In what ways are the answers the same? c In what ways are the answers different? 4 Describe a method for doing calculations, like those above, in your head. 5 Try these without a calculator first. a Describe what happens when you multiply by a number greater than one. a 39 x 10 = b Describe what happens when you multiply by a number less than one. Viewing sample b 39 x 100 = Then check your answers with a calculator. c 39 x 0.01 = • www.ricpublications.com.au• © R.I.C. Publications ® • Investigating Number patterns • 11
Page 1 and 2: Viewing sample
Page 3 and 4: CONTENTS Addition Patterns.........
Page 5 and 6: Addition Patterns (continued) 4 Pre
Page 7 and 8: More Addition Patterns (continued)
Page 9: Patterns Within the Addition Table
Page 13 and 14: Place Value Patterns - 3 1 Try the
Page 15 and 16: 0 . + Noticing Nines - 2 1 2 3 4 5
Page 17 and 18: Eleven Times 1 2 3 4 5 6 7 8 AC C %
Page 19 and 20: Function Machines - 1 When numbers
Page 21 and 22: Function Machines - Finding the Pro
Page 23 and 24: Patterns in Tables Charts (continue

PR-6102UK Investigating Number Patterns 3

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