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Mental Addition Partitioning Strategies
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Mental Addition Partitioning Strategies
Break numbers into useful parts, add the parts, and check that each total is reasonable. Show or explain your strategy for each problem.
Partition and Add
Use place-value parts or another efficient partitioning strategy.
1.Calculate 56 + 28. Show how you partitioned the numbers.
2.Work out 67 + 25 by partitioning. Write the total and at least one step in your strategy.
3.Find 72 + 19 mentally. Show how you used a partition or adjusted one number to make the addition easier.
4.Which option shows 68 + 24 split into tens and ones?
- 60 + 8 + 20 + 4
- 68 + 20 + 4
- 60 + 20 + 8 + 40
Addition in an Orchard
Use an efficient mental strategy. Estimate first or afterwards to check whether your answer makes sense.
5.Losa picked 46 apples in the morning and 38 in the afternoon. How many apples did Losa pick altogether? Include an estimate to check your answer.
6.Harrison’s orchard packed 59 boxes of pears on Monday and 27 boxes on Tuesday. How many boxes were packed over the two days?
7.Explain one way partitioning can make mental addition easier. Give an example using 35 + 27.
Challenge
Partition by place value to add these three-digit numbers.
8.Calculate 358 + 276. Show the hundreds, tens and ones you added.
9.Create a two-digit addition calculation whose total is 100. Write the calculation and explain how partitioning helps you check the total.
10.Which statement best describes how partitioning supports mental addition?
- It splits numbers into parts that can be added more easily.
- It changes the total so the numbers are simpler.
- It means you do not need to check your answer.
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