Fractions on a number line

MathematicsMathematical ThinkingAges 8–9

Move fluently between real-world situations, diagrams, number lines, and symbolic equations involving multiplication, fractions, and decimals, explaining what each representation shows

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Share and support

Teaching Table

Set out your lesson

Connect a sharing story, fraction strip, number line and equation; explain the parts of a multiplication model.

Activity

Ask the learner to share one imagined bar equally between 2 people and explain why each part must be equal. If this is not secure, revisit equal sharing before moving representations. Hard prerequisite lesson-source availability is checked separately; availability is not learner readiness.

Policy

Check learner readiness directly; prerequisite lesson availability is not evidence of attainment.

Instructions

No printer is required: screen, pencil and scrap paper suffice. All contexts are fictional, not observations or recommendations. Do not cook, cut rope, buy ingredients, handle food or collect personal data. Optional counters can be drawn marks. Adult reads Setup and Show, then uses the supplied Together page; keep adult keys separate. Set aside all worked pages before Try. Use more scrap paper for drawings or explanations.

Teaching Procedure

Invite the learner to identify the whole and unit, select a representation, attempt the task, then explain and check. Use Together prompts in order. If an error persists, return to the prerequisite skill rather than giving more unsupported practice.

Record actual responses, access mode and assistance; never invent observations or infer mastery.

Use the complete materials on screen or print only the current sheet. Keep adult guidance out of learner view. Retain an earlier model only when the current step supplies it as context.

Teaching limits and safe use

These are finite task opportunities, not proof of mastery. Record what was attempted and what support was used.

This is a bounded practice opportunity, not mastery or a claim of fluency across all values. Fictional scenarios are not real measurements or learner observations. Canonical age ranges are preserved, not proof of developmental fit. Oral, scribed and supported work must be recorded as such.

Record actual responses, access mode and assistance; never invent observations or infer mastery.

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Entire curriculum

1590 concepts · 8 subjects

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Teaching approaches

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Connect a sharing story, fraction strip, number line and equation; explain the parts of a multiplication model.

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Learning resources

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Check understanding

Represent a sharing problem as both a fraction diagram and a division equation
Explain how a bar model for 4 × 23 connects to the area model and the written method
Translate a decimal on a number line into a fraction and explain the equivalence

“When your child works on a maths problem involving decimals or fractions, can they move between a fraction strip, a number line, and a written equation — explaining what each one is showing?”

Curriculum record

Type: Meta
Subject: Mathematics
Domain: Mathematical Thinking
Age range: Ages 8–9