MathematicsMeasurementAges 9–10

Measurement word problems with fractions and decimals

Solve word problems involving distances, time intervals, liquid volumes, masses, and money using the four operations with fractions or decimals; represent with diagrams including number lines

Lesson

Set out your lesson

Choose operations for fictional measurement stories and represent quantities with number lines.

Before teaching

Use this short check, then start teaching.

Activity

Check mt_Zks8xyInSG and mt_mFJ-2ZF6Tk. Ask the learner to name the unit before calculating; revisit decimal subtraction if needed.

Policy

Check learner readiness directly; prerequisite availability is not attainment.

Printer, credit, and teaching notes

Check learner readiness directly; prerequisite availability is not attainment.

Materials

Pencil and plain paper, or this screen and an oral explanation. No purchases, food, scissors, weighing or real journey needed.

Procedure

Choose one short sitting or stop after Together and return later. Read the model aloud, invite the learner to try, then put Show and Together aside for Try. Keep adult keys closed and out of view.

Access

No printer: show only the active learner sheet; copy the supplied grid/table or draw on plain paper. An adult may read exact prompts or scribe the learner’s own words without adding a method; record that support. Oral work is mathematical evidence, not handwriting evidence.

Privacy

Use fictional quantities. No names, addresses, body measurements, accounts, family records or purchases are required. A learner can pause or decline a context.

Teaching Procedure

Ask what stays the same, which unit is being counted, and what operation fits. Let the learner explain before helping. If stuck, return to the worked model, then retry; record the help rather than calling it independent.

Use the complete materials on screen or print only the current sheet. Keep adult guidance out of learner view.

Next: Show

Adult extras

Teaching limits and safe use

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

Finite task opportunities do not establish general mastery. Exact canonical examples are rehearsal when previously modeled. No timed testing or forced personal disclosure.
The canonical time-estimation assessment lacks a pace. It is retained verbatim; learners are asked to identify the missing information before using a separately stated assumption.

Use fictional quantities. No names, addresses, body measurements, accounts, family records or purchases are required. A learner can pause or decline a context.

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

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Teaching approaches

Gakuva’s recommended starting approach is selected. You can still compare every option.

1 approach

Selected Default Gakuva

Choose operations for fictional measurement stories and represent quantities with number lines.

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.

View learner plans ($12/mo per learner) See sample family archive

Learning resources

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

Illustrative Mathematics · Practice link — not the full lesson

Margie Buys Apples

Open practice(new tab)

Before you open · source notes

Margie Buys Apples supports measurement word problems with money and amounts. Not every pure fraction drill.

Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.

Before you open

Ask the learner to solve the apple purchase problem and name the units used.

Opening this link does not save learning or assess mastery.

Source, access and review notes

Public Illustrative Mathematics task page. The .html address responds HTTP 308 to this URL. An anonymous GET of this URL on 2026-11-12 returned HTTP 200 with no login or payment prompt. Where a teacher solution is present, it is on the same page as the student task; this check did not find a separate locked student view. An adult can use the student view section and should not read a solution aloud. Advertising was not observed in the fetched HTML text; that is not a browser, device, or ad-free guarantee. This is a paper or discussion task, not an automatically marked interactive game. Opening the link does not save practice or assess mastery. Diagrams on the page use missing or filename-only alt text, so they are not an accessible image equivalent. Accessibility still depends on an adult describing the picture.

Illustrative Mathematics. “Margie Buys Apples.” Licensed CC BY-NC-SA 4.0. External task; Gakuva does not copy, host, embed, or redistribute it.

CC BY-NC-SA 4.0 — link only

Check understanding

A 2.5 kg bag of flour is split equally into 4 portions — what does each weigh?
A journey takes 1 hr 45 min; what time do you arrive if you leave at 09:20?
Three ribbons of 0.75 m, 1.2 m, and 0.95 m — what is the total length?

“If your child is planning a 4.5 km walk and has already walked 1.75 km, can they work out how far is left — and estimate how long the remaining walk might take?”

Curriculum record

Type: Procedural
Subject: Mathematics
Domain: Measurement
Age range: Ages 9–10

Standards

ccss-math:4.MD.2uk-nc-2013:Ma5/3.1g