Teach KS2 Children Division - What Is The ‘Chunking’ Method?
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The Chunking Method
Division in many Primary Schools is taught using repeated subtraction. The 'chunking' method in maths, uses repeated subtraction to find answers to division problems that use larger numbers, e.g numbers to 100 and/or over 100. It also helps children find remainders when dividing. A good, sound knowledge of times tables facts in maths, will help children use and understand the 'chunking' method, therefore regular time tables practise is essential.
The examples below will give you an idea of the process involved in using the chunking method for division. This process can be used with numbers over 100 as well. However, as children become more skilled using the chunking method, they will begin to use a quicker, more efficient way of using the chunking method for larger numbers.
Division Without Remainders.
Problem: 76 ÷ 2 = 38
Solution: 76
-20 (10 x 2)
56
-20 (10 x 2)
36
-20 (10 x 2)
16 ( 8 x 2)
Answer: 10 + 10 + 10 + 8 = 38
Many children will know their 10x tables and will be able to use this knowledge for the repeated subtraction. They are then left with 16 at the end, which is 8x2.
Division With Remainders.
Problem: 98 ÷ 6 = 16 r2
Solution: 98
-60 (10 x 6)
38
-36 ( 6 x 6)
2
Answer: 10 + 6 = 16 r 2
The number nearest to 38 in the x6 tables is 36, therefore 36 is the number that is subtracted.
This leaves a remainder of 2.
Take a look at our Division Packs and our Individual Times Tables which you can purchase from the shop.
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Refining Division Methods - 'Chunking'Method.
Once children are happy and confident using the above method of dividing, they can start to refine and make the process quicker. Again, the child's knowledge of times tables facts in maths, will help them to understand and use the repeated subtraction (chunking method) more easily. Regular times tables facts practise is very important!
Problem: 457 ÷ 6 = 76 r1
Solution: 457
- 420 (70 x 6)
37
- 36 ( 6 x 6)
1
Answer: 70 + 6 = 76 r 1
A quicker way is to look at the number 457 and think 'Which number in the x6 tables is nearest to 457?'
The rest of the sum can then be worked out.
Practice Makes Perfect!
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Common questions
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- How do you do long multiplication?
- Set the two numbers out in columns. Multiply the top number by the units digit, then by the tens digit, writing each result on its own line. Add the two lines together for the answer. One step at a time keeps it tidy.
- How can I help my child learn their times tables?
- Short, regular practice works best. A few minutes a day, and mix the order so they are not just reciting. Spot the patterns, like the tens or the fives, and link division to the same facts so they see both at once.
- What is the column method for multiplication?
- It is a way of multiplying larger numbers by lining them up in columns and taking one digit at a time. Most primary schools teach it this way, and it keeps each step clear so mistakes are easier to spot.
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