Additive structures: introduction to aggregation and partitioning
Spine 1: Number, Addition and Subtraction – Topic 1.5
Primary
KS1
Year 1
Mastery PD Materials
Introduction
Progress to the use of abstract notation (+, − and =) as a way of representing the part–part–whole structure.
Teaching points
- Teaching point 1: combining two or more parts to make a whole is called aggregation; the addition symbol, +, can be used to represent aggregation.
- Teaching point 2: The equals symbol, =, can be used to show equivalence between the whole and the sum of the parts.
- Teaching point 3: Each addend represents a part, and these are combined to form the whole/sum; we can find the value of the whole by adding the parts. We can represent problems with missing parts using an addition equation with a missing addend.
- Teaching point 4: Breaking a whole down into two or more parts is called partitioning; the subtraction symbol, −, can be used to represent partitioning.