Addition and Subtraction Mental addition and subtraction Written
Addition and Subtraction Mental addition and subtraction Written column addition Objectives Day 1 Use place value to add and subtract; add and subtract near multiples of 100 and 1000. Day 2 Use place value to add and subtract; add and subtract near multiples of 100, 1000 and 10, 000. Day 3 Revise column addition of 4 -digit and 5 -digit numbers. © hamilton-trust. org. uk 1 Year 5
Addition and Subtraction Mental addition and subtraction Written column addition Starters Day 1 Place value in 4 -digit and 5 -digit numbers (pre-requisite skills) Day 2 Count in 1/4 s and 1/8 s (simmering skills) Day 3 Addition facts to 20 (simmering skills) © hamilton-trust. org. uk 2 Year 5
Addition and Subtraction Mental addition and subtraction Written column addition Starter Place value in 4 -digit and 5 -digit numbers © hamilton-trust. org. uk 3 Year 5
Addition and Subtraction Mental addition and subtraction Written column addition Starter Count in 1/4 s and 1/8 s © hamilton-trust. org. uk 4 Year 5
© hamilton-trust. org. uk 5 Year 5
© hamilton-trust. org. uk 6 Year 5
Addition and Subtraction Mental addition and subtraction Written column addition Starter Addition facts to 20 © hamilton-trust. org. uk 7 Year 5
Addition and Subtraction Mental addition and subtraction Written column addition Objectives Day 1 Use place value to add and subtract; add and subtract near multiples of 100 and 1000. © hamilton-trust. org. uk 8 Year 5
Day 1: Use place value to add and subtract; add and subtract near multiples of 100 and 1000. Add 203. Be ready to explain how you worked out the answer. Subtract 705. Be ready to explain how you worked out the answer. 4735 Subtract 2003. Be ready to explain how you worked out the answer. © hamilton-trust. org. uk Add 2003. Be ready to explain how you worked out the answer. 9 Year 5
Day 1: Use place value to add and subtract; add and subtract near multiples of 100 and 1000. Add 200 to 4735 and write the answer. Now use this answer to add 197 to 4735 197 is a ‘nearly’ number – it’s nearly a multiple of 100. This ‘add and adjust’ strategy makes adding near-multiples of 100 a bit more straightforward… +200 4735 © hamilton-trust. org. uk -3 4932 10 4935 Year 5
Day 1: Use place value to add and subtract; add and subtract near multiples of 100 and 1000. Subtract 200 from 4735 and write the answer. Now use this answer to subtract 197 from 4735 This time we ‘subtract and adjust’ to make subtracting a near-multiple of 100 a bit more straightforward… -200 +3 4535 4538 © hamilton-trust. org. uk 4735 11 Year 5
Day 1: Use place value to add and subtract; add and subtract near multiples of 100 and 1000. Subtract 2000 from 4735 and write the answer. Now use this answer to subtract 1995 from 4735. Add 2000 to 4735 and write the answer. Use this answer to add 1995 to 4735 © hamilton-trust. org. uk 12 Year 5
Challenge © hamilton-trust. org. uk 13 Year 5
Addition and Subtraction Mental addition and subtraction Written column addition Objectives Day 2 Use place value to add and subtract; add and subtract near multiples of 100, 1000 and 10, 000. © hamilton-trust. org. uk 14 Year 5
Day 2: Use place value to add and subtract; add and subtract near multiples of 100, 1000 and 10, 000. Add 20, 030. Be ready to explain how you worked out the answer. Subtract 20, 030. Be ready to explain how you worked out the answer. 52, 435 © hamilton-trust. org. uk 15 Year 5
Day 2: Use place value to add and subtract; add and subtract near multiples of 100, 1000 and 10, 000. Add 1000 and write the answer. Now use this answer to add 998 to 52, 435. Remember the ‘add and adjust’ strategy…. 52, 435 +1000 52, 435 © hamilton-trust. org. uk -2 53, 433 16 53, 435 Year 5
Day 2: Use place value to add and subtract; add and subtract near multiples of 100, 1000 and 10, 000. Subtract 1000 and write the answer. Now use this answer to subtract 998 from 52, 435 This time we ‘subtract and adjust’ to make subtracting a near-multiple of 1000 a bit more straightforward… -1000 +2 51, 435 51, 437 © hamilton-trust. org. uk 52, 435 17 Year 5
Day 2: Use place value to add and subtract; add and subtract near multiples of 100, 1000 and 10, 000. Subtract 2000 and write the answer. Now use this answer to subtract 1995 from 52, 435. Add 2000 and write the answer. Use this answer to add 1995 to 52, 435 Subtract 300 and write the answer. Now use this answer to subtract 297 from 52, 435. Add 300 and write the answer. Use this answer to add 297 to 52, 435. © hamilton-trust. org. uk 18 Year 5
Challenge © hamilton-trust. org. uk 19 Year 5
Addition and Subtraction Mental addition and subtraction Written column addition Objectives Day 3 Revise column addition of 4 -digit and 5 -digit numbers. © hamilton-trust. org. uk 20 Year 5
Day 3: Revise column addition of 4 -digit and 5 -digit numbers. 4267 + 2784 + 3832 8723 + 5265 23, 451 + 18, 325 67, 342 + 8, 352 Discuss in pairs which you think will have the biggest answer and the smallest answer. What were your strategies for estimating Rounding numbers to these answers? nearest 1000 is helpful. © hamilton-trust. org. uk 21 Half the class are going to work out the answer to the 2 nd addition and the other half are going to work out the answer to the 3 rd addition. Year 5
Day 3: Revise column addition of 4 -digit and 5 -digit numbers. 4267 + 2784 + 3832 8723 + 5265 23, 451 + 18, 325 Remember to leave a blank row above the answer line. © hamilton-trust. org. uk 67, 342 + 8, 352 4267 2784 +3832 111 10883 22 Add the 1 s, then the 100 s, then the 1000 s. This is very similar to adding a pair of 4 -digit numbers; not harder, just longer - we just have more digits to add. Year 5
Day 3: Revise column addition of 4 -digit and 5 -digit numbers. 4267 + 2784 + 3832 8723 + 5265 23, 451 + 18, 325 Remember to leave a blank row above the answer line. © hamilton-trust. org. uk 67, 342 + 8, 352 67342 + 8352 1 756 94 23 It’s really important to align the numbers to the right, according to their place value. Year 5
Investigation: Child Sheet © hamilton-trust. org. uk 24
© hamilton-trust. org. uk 25 Year 5
Addition and Subtraction Mental addition and subtraction Written column addition Well Done! You’ve completed this unit. Objectives Day 1 Use place value to add and subtract; add and subtract near multiples of 100 and 1000. Day 2 Use place value to add and subtract; add and subtract near multiples of 100, 1000 and 10, 000. Day 3 Revise column addition of 4 -digit and 5 -digit numbers. © hamilton-trust. org. uk 26 Year 5
Problem solving and reasoning questions Predict what the ones digit of your answer will be if you carry out the following sequence: Start with 98, 765. Subtract 9999 Subtract 9 What number are you left with? What number must I add to 9998 to get 33, 454? What mistake has Tom made in this addition? 6734 – 997 = 5731 Fill in the missing numbers. 457? 8 +1? 49? ? 2? 20 © hamilton-trust. org. uk 27 Year 5
Problem solving and reasoning questions answers What mistake has Tom made in this subtraction? 6734 – 997 = 5731 He has adjusted the wrong way, subtracting 1000 then subtracting 3 more rather than adding 3 back. The correct answer is 5737. Predict what the ones digit of your answer be if you carry out the following sequence: Start with 98, 765. Subtract 9999 Subtract 9 What number are you left with? 87, 659. I can predict that the answer will end in 9. Each of the subtractions can be done by subtracting 1 extra, e. g. 10, 000 rather than 9999, 1000 rather than 999 etc. There are 4 subtractions to be done in this way so 4 must be added on to compensate. Fill in the missing numbers. 45728 + 16492 1111 62220 Note the need for an extra 1 in each place. What number must I add to 9998 to get 33, 454? 23, 456. Subtract 9998 from 33, 454 to find answer by subtracting 10, 000 then adding to adjust. An answer of 23, 452 suggests children are adjusting wrongly. © hamilton-trust. org. uk 28 Year 5
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