Renaming to add and subtract

Pose addition and subtraction problems -- in context -- that can be solved using place value with renaming.

In addition problems this involves combining ones to form a ten.

For example, 57 + 28 = ? requires combining 7 and 8 to form 10 and 5.

You can watch the Renaming Tens with Addition video.

 

You can download the Renaming Tens with Addition video transcript.

 

In subtraction we decompose tens when more ones need to be taken away than are immediately available.

For example, 83 – 47 = ? requires subtraction of seven ones when only three are immediately available.

You can watch the Renaming Tens with Subtraction video.

 

You can download the Renaming Tens with Subtraction video transcript.

 

Both of these videos illustrate renaming strategies based on splitting tens. Renaming problems can also be solved using jumping strategies. Jumping tends to be more reliable as a mental strategy because it removes the memory load associated with the starting number.

 

A string of beads, alternating every ten beads from green to pink. The problem is to add 27 to 58. First peg is at 58 with a jump of 20 to reach 78, then a jump of 2 to reach 80 then a jump of 5 to reach the answer of 85.

Adding with a bead string (solution 1).

A string of beads, alternating every ten beads from green to pink. The problem is to add 27 to 58. First peg is at 58 with a jump of 2 to reach 60, then a jump of 5 to reach 65 then a jump of 20 to reach the answer of 85.

Adding with a bead string (solution 2).

 

Jumping strategies can be practised using the empty number line applet on the New Zealand Maths website.

These ideas are explored further in Number Facts: Addition and Subtraction and Fluency and Flexibility.

Curriculum links

Year 3: Apply place value to partition, rearrange and regroup numbers to at least 10 000 to assist calculations and solve problems

Year 2: Solve simple addition and subtraction problems using a range of efficient mental and written strategies

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