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Mathematics·Mathematical Thinking·meta

Connecting Representations

Move between real-world situations, drawings, and number sentences, explaining how each representation connects to the others (quantitative reasoning)

Suggested ages 6–7

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Learning journey

Your child is developing mathematical reasoning skills — learning to plan approaches to problems, explain their thinking clearly, spot patterns, and connect real-world situations to mathematical solutions.

Evidence of understanding

  • Write a number sentence (e.g. 14 + 5 = 19) to match a word problem and explain the connection
  • Draw a bar model or part-whole diagram to represent a problem, then solve using the diagram
  • Translate between a concrete model and a symbolic equation, describing what each number represents

Assessment prompt

When Connecting Representations solves a word problem, can they draw a diagram or write a number sentence to show their thinking — and then explain how the picture and the numbers match the real situation?

Standards alignment

No external standards are linked to this topic.