Fractions on a number line

MathematicsMeasurementAges 9–10

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

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Teaching Table

Set out your lesson

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

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.

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 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.

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.

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

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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