Stage 5 : Early Additive Part-Whole

Stage Five: Early Additive Part-Whole
At this stage, students have begun to recognise that numbers are abstract units that can be treated simultaneously as wholes or can be partitioned and recombined. This is called part-whole thinking.

A characteristic of this stage is the derivation of results from related known facts, such as finding addition answers by using doubles or teen numbers. The strategies that these students commonly use can be represented on empty number lines.

Here are two examples:
(i) Compensation from known facts
Example: 7 + 8: 7 + 7 is 14, so 7 + 8 is 15. 
(ii) Standard place value partitioning
Example: 43 + 35 is (40 + 30) + (3 + 5) = 70 + 8.  

We are learning to use multiplication to find fractions of a set.  e.g. 1/4 of 12 is worked out as 4 sets of 3.

Solving a subtraction problem as an addition problem.

eg: 86-24 = ? becomes 24 + ? = 86

Then the students use a number and add up to work out the difference between 24 and 86.


We are learning to apply our place value knowledge to get the total as close to 100 as possible.  e.g if a child rolls 3 on a dice, the child decides whether it will go in the 10s or 1s column on a chart.  After 5 throws children add the numbers in each column.  
Kawaha Point School
Aquarius Drive
Rotorua, New Zealand
Ph: 07 348 5864
Fax: 07 349 2581