• Mastery PD Materials

Additive structures: introduction to aggregation and partitioning

Spine 1: Number, Addition and Subtraction – Topic 1.5

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.

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