Subtraction Within 40 Thinking Platform Look at all the marbles. Think! What is the easiest way to subtract these marbles? Can you remember the different ways to subtract? Finger Subtraction Subtract by using your fi ngers. 38 – 13 = ? Think! Can you use your fi ngers to subtract these numbers? Subtracting By Crossing Out 38 – 13 = ? Cross out 13 marbles from the 38 marbles. Then count the marbles left. Subtracting By Counting Back Subtract by counting back from the greater number. 38 – 13 = ? Think! Is this a good way to subtract? 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, errr… I’ve run out of fingers… , 27 26, 25! Phew! © 2013 Marshall Cavendish International (Singapore) Private Limited (M)VTM_1B_c11.indd 41 Visible Thinking in Mathematics 1B (2nd Edition) 41 7/19/13 3:27 PM Subtracting By Counting On Subtract by counting on from the smaller number. 38 – 13 = ? Think! Do you think this is an easy way? Why? Subtracting With Number Bonds (a) without regrouping 38 – 13 = ? Make number bonds for 38 and 13. 38 30 13 8 10 3 30 – 10 = 20 8–3=5 20 + 5 = 25 Think! Is it easy to use number bonds to find 38 – 19? Why? (b) with regrouping 38 – 19 = ? Make number bonds for 38 and 19. 38 20 19 18 10 20 – 10 = 10 18 – 9 = 9 10 + 9 = 19 42 Visible Thinking in Mathematics 1B (2nd Edition) (M)VTM_1B_c11.indd 42 You cannot subtract 9 ones from 8 ones! So, regroup the tens and ones in 38. 9 © 2013 Marshall Cavendish International (Singapore) Private Limited 7/19/13 3:27 PM Subtracting Using Vertical Subtraction (a) without regrouping 38 – 13 = ? Tens – Ones 3 1 8 3 2 5 First, subtract the ones. 8 ones – 3 ones = 5 ones Then subtract the tens. 3 tens – 1 ten = 2 tens So, 38 – 13 = 25. (b) with regrouping 38 – 19 = ? Tens 2 – 3 1 1 Ones 1 8 9 9 First, regroup the tens in 38. 3 tens 8 ones = 2 tens 18 ones Subtract the ones. 18 ones – 9 ones = 9 ones Then subtract the tens. 2 tens – 1 ten = 1 ten So, 38 – 19 = 19. Note s Teaching Tips This chapter introduces the strategy of vertical subtraction with and without regrouping. Whilst reinforcing previously taught strategies, it also highlights their limitations when subtracting numbers greater than 10. At this point, the child should be confident with vertical subtraction with and without regrouping so that he can solve the problems that follow. © 2013 Marshall Cavendish International (Singapore) Private Limited (M)VTM_1B_c11.indd 43 Visible Thinking in Mathematics 1B (2nd Edition) 43 7/19/13 3:27 PM Fill in the blanks. 6. The numbers below show the marks scored by Gabriel, Lynn, Celine and Dawn. Marks: 27 23 29 28 Gabriel scored 4 marks more than Celine. Dawn scored 2 marks more than Gabriel. Lynn scored 5 marks more than the one with the lowest marks. Write down the scores for each of them. Gabriel _____ Celine ______ Lynn ______ Dawn _____ 7. Desmond is thinking of a 2-digit number. The digit in the tens place is 3 less than 5. The digit in the ones place is 3 more than the digit in the tens place. What number is Desmond thinking of? ______________ 8. Arrange the numbers from the smallest to the greatest. 36 35 31 33 smallest © 2013 Marshall Cavendish International (Singapore) Private Limited (M)VTM_1B_c11.indd 59 greatest Visible Thinking in Mathematics 1B (2nd Edition) 59 7/19/13 3:27 PM