Connecting Representations
Move between real-world situations, drawings, and number sentences, explaining how each representation connects to the others (quantitative reasoning)
Lesson
Set out your lesson
Make a story, a model and an equation say the same thing.
Before teaching
Use this short check, then start teaching.
Comfort with the particular task and communication mode; optional oral/scribed work is recorded separately.
Check the learner can access these words/materials and prerequisite ideas; historical authorship is not readiness or mastery. If not, demonstrate briefly or revisit the named prerequisite.
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Teaching approaches
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1 approach
Make a story, a model and an equation say the same thing.
Make a story, a model and an equation say the same thing.
Family records and proof options
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Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
NRICH · Practice link — not the full lesson
Primary
Before you open · source notes
Primary supports Connecting Representations. An adult previews and guides; this is a learning page, not a scored quiz.
Free educational page, no sign-in required for the tested path.
Before you openAsk the learner one fact they learned and one question they still have.
Opening this link does not save learning or assess mastery.
Source, access and review notes
Public NRICH page. An anonymous GET on 2026-11-12 returned HTTP 200 with no login or payment prompt for this URL. Opening the link does not save practice or assess mastery. An adult should preview and guide the learner.
NRICH. “Primary.” External page; Gakuva does not copy, host, embed, or redistribute materials.
Unknown — link only
Check 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
“When your child 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?”
Curriculum record
- Type
- Meta
- Subject
- Mathematics
- Domain
- Mathematical Thinking
- Age range
- Ages 6–13
Standards