Add 2digit numbers by partitioning Add two 3digit numbers using compact written addition Day 2 Add 2digit numbers by partitioning Add three 3digit numbers using compact written addition Day 3 ID: 1044877
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1. 1Year 3/4ObjectivesDay 1Add 2-digit numbers by partitioningAdd two 3-digit numbers using compact written additionDay 2Add 2-digit numbers by partitioningAdd three 3-digit numbers using compact written additionDay 3Add three 2-digit numbers by partitioning.Add three and four 2-digit numbers using expanded/compact additionMore Addition and SubtractionPartitioning and column addition
2. 2Year 3/4Short Mental WorkoutsDay 1Adding multiples of 10Day 2Add three 1-digit numbersDay 3Add 3 or 4 numbersMore Addition and SubtractionPartitioning and column addition
3. 3Year 3/4Short Mental WorkoutAdding multiples of 10More Addition and SubtractionPartitioning and column addition
4. 4Year 3/4Short Mental WorkoutAdd three 1-digit numbersMore Addition and SubtractionPartitioning and column addition
5. 5Year 3/4Short Mental WorkoutAdd 3 or 4 numbersMore Addition and SubtractionPartitioning and column addition
6. 6Year 3/4ObjectivesDay 1Add 2-digit numbers by partitioningAdd two 3-digit numbers using compact written additionMore Addition and SubtractionPartitioning and column addition
7. We can record it like this:57 + 25 = 50 + 20 + 7 + 5 = 70 + 12 = 827Year 3/4In pairs use the place value cards to make 57 and 25.We are going to add the numbers by partitioning. 2 05 0755 02 0757 0Add the 10s, 50 + 20..Day 1: Add 2-digit numbers by partitioning; Add two 3-digit numbers using compact written addition21Then the 1s. 7 + 5… Then recombine. 70 + 12 = 28Put the tens and the ones cards together…
8. 8Year 3/4How will you partition the numbers to add?Now in pairs use the place value cards to find 48 + 34.Which cards will you use to make the numbers? We can record it like this:48 + 34 = 40 + 30 + 8 + 4 = 70 + 12 = 82How will you record this addition?Day 1: Add 2-digit numbers by partitioning; Add two 3-digit numbers using compact written additionWhy is this strategy called partitioning and recombining?
9. 9Year 3/4
10. 10Let’s revise adding 3-digit numbers using compact addition to find 654 + 218. 872218654+1Set the numbers out neatly in columns, leaving a space above the line for any extra 10s or 100s.Year 3/4Day 1: Add two 3-digit numbers using compact written additionAdd the 1s: 4 + 8 = ?Add the 10s. Don’t forget the extra one!Finally add the 100s.
11. 11 900108600705200403+100900 + 10 + 8 = 918 918675243+1You can always check using expanded addition.Let’s check through that…Now find 243 + 675. Will you need to put any extra 10s or 100s above the line? How do you know?Year 3/4Day 1: Add two 3-digit numbers using compact written addition
12. 12Year 3/4Challenge
13. 13Year 3/4ObjectivesDay 2Add 2-digit numbers by partitioningAdd three 3-digit numbers using compact written additionMore Addition and SubtractionPartitioning and column addition
14. 14 400902100308300504+10We want to find 354 + 138.400 + 90 + 2 = 492 492138354+1Let’s go through that using expanded addition.Now someone from Y4 talk us through the compact method.Year 3/4Day 2: Add 2-digit numbers by partitioning; Add three 3-digit numbers using compact written addition.Y3 – use place value cards to make the two numbers and find the total.Y4 – use column addition.
15. 15 9247 4 1 2 3 We can add three 3-digit numbers in the same way!Try 123 + 474 + 332.13 3 2+9Year 3/4Day 2: Add 2-digit numbers by partitioning; Add three 3-digit numbers using compact written addition.Will the answer be more or less than 1000?
16. 16Year 3/4Challenge
17. 17What is going to happen to the 10s this time?73 + 55 = 70 + 50 + 3 + 5 = 120 + 8 = 128Now with your partner find 73 + 55. Record how you do this on your whiteboards.7 05 0351 0 02 08The answer was more than 100!Year 3/4Day 2: Add 2-digit numbers by partitioning.
18. 18Will the answer be more than 100?58 + 65 = 50 + 60 + 8 + 5 = 110 + 13 = 123Now with your partner try 58 + 65.Record how to do this on your whiteboards.5 06 085Year 3/4Day 2: Add 2-digit numbers by partitioning.
19. 1956 + 4265 + 3758 + 4655 + 4352 + 54Which of these additions will have a total of more than 100?Sort them into 2 groups:> 100 and < 100Year 3/4Day 2: Add 2-digit numbers by partitioning.Can you tell without actually adding the numbers?
20. 2055 + 4356 + 4265 + 3752 + 5458 + 46Less than 100More than 100Year 3/4Day 2: Add 2-digit numbers by partitioning.
21. 21Year 3/4Challenge
22. 22Year 3/4ObjectivesDay 3Add three 2-digit numbers by partitioning.Add three and four 2-digit numbers using expanded/compact additionMore Addition and SubtractionPartitioning and column addition
23. 23Year 3/4We can add three 2-digit numbers using place value cards to help.Try that using partitioning and recombining.4 02We can record it like this:35 + 42 + 51 = 30 + 40 + 50 + 5 + 2 + 1 = 120 + 8 = 128Day 3: Add three 2-digit numbers by partitioning; Add three and four 2-digit numbers using expanded/compact addition.3 055 01
24. 24Year 3/4Now in pairs make these 3 numbers and record the total.2 04We can record it like this:47 + 24 + 35 = 40 + 20 + 30 + 7 + 4 + 5 = 90 + 16 = 106Day 3: Add three 2-digit numbers by partitioning; Add three and four 2-digit numbers using expanded/compact addition.4 073 05
25. 25Year 3/4
26. 26 1201307506120 + 1 = 12120208+We can add three 2-digit numbers using expanded addition.Let’s try 56 + 37 + 28…First partition the numbers and set out neatly. Leave a space under the last number...Add the 1s. 6 + 7 + 8 = ?Put the 20 in the waiting line under the 10s and 1 in the answer line under the 1s. Add the 10s. 50 + 30 + 20 + 20 = ?Finally recombine, 120 + 1 =Year 3/4Day 3: Add three and four 2-digit numbers using expanded/compact addition.
27. 27 1201307506120 + 1 = 12120208+ 213756Let’s compare that with the compact method…228+1Year 3/4Day 3: Add three and four 2-digit numbers using expanded/compact addition.
28. 28 1508305406150 + 8 = 15810707+Let’s try 46 + 35 + 77. Will the answer be more than 100? More than 200?Who can talk us through the expanded addition?Who can talk us through the compact addition? 583546177+1Year 3/4Day 3: Add three and four 2-digit numbers using expanded/compact addition.
29. 29 962546Let’s try adding four 2-digit numbers with the compact method!153+172Let’s try 72 + 46 + 25 + 53. Will the answer be more than 100? More than 200?Add the 1s. 2 + 6 + 5 + 3 = ?Add the 10s. 70 + 40 + 20 + 50 + 10 = ?Year 3/4Day 3: Add three and four 2-digit numbers using expanded/compact addition.
30. 30 434869270+256Let’s try 56 + 69 + 48 + 70. Will the answer be more than 200 this time? How do you know?Add the 1s. 6 + 9 + 8 + 0 = ?Add the 10s. 50 + 60 + 40 + 70 + 20 = ?Year 3/4Day 3: Add three and four 2-digit numbers using expanded/compact addition.
31. 31Year 3/4Challenge
32. 32Year 3/4Challenge
33. 33Year 3/4ObjectivesDay 1Add 2-digit numbers by partitioningAdd two 3-digit numbers using compact written additionDay 2Add 2-digit numbers by partitioningAdd three 3-digit numbers using compact written additionDay 3Add three 2-digit numbers by partitioning.Add three and four 2-digit numbers using expanded/compact additionMore Addition and SubtractionPartitioning and column additionWell Done! You’ve completed this unit.
34. 34Year 3/4Problem solving and reasoning questionsYear 3Write 2 numbers which total 91 where one has a 1s digit of 6.Write the missing digits:7☐ + 48 = ☐24☐5 + 87 = 14☐How many pairs of numbers between 20 and 30 can you find that total 51?
35. 35Year 3/4Problem solving and reasoning answersYear 3Write 2 numbers which total 91 where one has a 1s digit of 6.The following are possible answers: 6 + 85, 16 + 75, 26 + 65, 36 + 55, 46, + 45, 56 + 35, 66 + 25, 76 + 15, 86 + 5.Do children realise that the second number must have a 1s digit of 5? (Since 5 + 6 = 11). Can they find all of these in a systematic way?Write the missing digits:76 + 48 = 124 The 1s digit of the first number must be 6 to give 4 as the 1s digit of the answer.55 + 87 = 142 The 1s digit of the answer must be 2. A possible error here is to think that the missing 10s digit is 6, since 60 + 80 = 140, ignoring the extra 10 from adding the 1s.How many pairs of numbers between 20 and 30 can you find that total 51? There are four pairs of numbers that meet these criteria, can children list them systematically and see the pattern? 22 and 29, 23 and 28, 24 and 27, 25 and 26.
36. 36Year 3/4Problem solving and reasoning questionsYear 4Write 2 numbers which total 391 where one has a 1s digit of 6.Write the missing digits:37☐ + 148 = ☐245☐5 + 287 = 82☐How many pairs of numbers between 120 and 130 can you find that total 251?
37. 37Year 3/4Problem solving and reasoning answersYear 4Write 2 numbers which total 391 where one has a 1s digit of 6. See Y3 answers for pairs of 2-digit numbers that total 91. Additionally the 100s should total 300, so taking 36 + 55 as an example, 136 + 255, 236 + 155, 36 + 355 and 336 + 55 are all possible answers.Write the missing digits:376 + 148 = 524 The 1s digit of the first number must be 6 to give 4 as the 1s digit of the answer.535 + 287 = 822 The 1s digit of the answer must be 2. A possible error here is to think that the missing 10s digit is 4, since 40 + 80 = 120, ignoring the extra 10 from adding the 1s.How many pairs of numbers between 120 and 130 can you find that total 251? 122 and 129, 123 and 128, 124 and 127, 125 and 126.There are four pairs of numbers that meet these criteria. Can children list them systematically and see the pattern?