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MathematicsMathematical ThinkingAges 9–10

Connecting multiplication, fraction, decimal and percentage representations

Move fluently between real-world situations, diagrams, number lines, bar models, and symbolic equations involving multi-digit multiplication, fractions, decimals, and percentages, explaining connections between representations

Lesson

Set out your lesson

“Connecting multiplication, fraction, decimal and percentage representations means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.”

Bring to the table

  • Paper strips or a folded circle
  • Pencil and labels (1/2, 1/4)
Extra for the adult

Worked example. Fold a strip in half: each piece is 1/2 of the whole.

Optional challenge. For Connecting multiplication, fraction, decimal and percentage representations, add one harder example after success.

What to notice. Keep one parent note: examples tried; results; support used. This session samples Connecting multiplication, fraction, decimal and percentage representations, not mastery.

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Family records and proof options

Keep a record of your learning

Save photos, notes, and attendance. Export a proof packet for compliance or portfolio reviews.

Practice this concept

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Gakuva activity

Connecting multiplication, fraction, decimal and percentage representations practice

Practice key ideas from Connecting multiplication, fraction, decimal and percentage representations.

Free · no login · no ads · Practice answers and completion are not saved. Parent observation remains the lesson record.

Learning resources

Extra practice links — they do not replace Gakuva’s teaching approach.

NRICH · Practice link — not the full lesson

Primary

Open practice (new tab)
Before you open · source notes

Primary supports Connecting multiplication, fraction, decimal and percentage 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 open

Ask 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

  • Represent a scaling problem as both a bar model and a multiplication equation
  • Show how 0.35, 35/100, and 35% all represent the same quantity on a hundredths grid
  • Translate a line-graph reading into a subtraction equation to find the difference
“When your child solves a problem involving percentages or multi-digit multiplication, can they show the same situation using a bar model, a number line, and an equation — and explain what each one represents?”

Curriculum record

Type
Meta
Subject
Mathematics
Domain
Mathematical Thinking
Age range
Ages 9–10

Standards

ccss-math:MP.2