• Mastery PD Materials

Common structures and the part–part–whole relationship

Spine 1: Number, Addition and Subtraction – Topic 1.28

Introduction

Extend the part–part–part–whole structure (three or more parts) to solve missing part/whole problems in a range of contexts; draw on number composition and additive concepts from across the spine, focusing on the structural equivalence of the problems.

Teaching points

  • Teaching point 1: Mathematical relationships encountered at primary level are either additive or multiplicative; both of these can be observed within the structure of part–part–whole relationships.
     
  • Teaching point 2: Problems in many different contexts can be solved by adding together the parts to find the whole. Different strategies can be used to calculate the whole, but the structure of the problem remains the same.
     
  • Teaching point 3: If the value of the whole is known, along with the values of all but one of the parts, the value of the missing part can be calculated. Different strategies can be used to calculate the missing part, but the structure of the problem remains the same.
     
  • Teaching point 4: Problems in many different contexts have the ‘missing-part’ structure.

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