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1.5 Additive structures: introduction to aggregation and partitioning


Created on 31 July 2017 by ncetm_administrator
Updated on 26 November 2018 by ncetm_administrator

Description

Progress to the use of abstract notation (+, − and =) as a way of representing the part–part–whole structure.

Introduction

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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