Comparing Decimals

MathematicsFractionsAges 9–10

Compare two decimals to hundredths (or up to three decimal places) by reasoning about size using place-value understanding; record with >, =, <

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Teaching Table

Set out your lesson

Compare decimals by matching place values, not by counting digits.

Activity

Learner readiness not observed. Ask which is larger: 0.3 or 0.5, and what one hundredth means. If either is unclear, revisit comparing two-place decimals before the three-place tasks.

Policy

Check learner readiness separately; the existence of a prerequisite lesson is not evidence of attainment.

Estimated Minutes

20–30; split if useful

Sequence

Use S for the model, G for supported practice and T for a fresh attempt.
Optional pencil and scrap paper only. All scenarios, charts and blanks are supplied.
Put S, G and all adult keys away before T. Open only the T learner sheet.
Discuss the reasoning; use the adult key afterward and record only actual support and responses.

No Printer

No printer, purchases, cutting, login or installation required. Use one sheet on screen at a time; answer aloud or write only responses on scrap paper.

Safety

Pause if tired or frustrated. Fictional contexts need no personal information, travel, measuring equipment or real purchases. Participation is optional.

Access

Read prompts aloud without explaining answers; allow pointing, speech, zoom or adult scribing. Record adaptations separately from independent written evidence.

Record actual responses, assistance and access mode; 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.

No learner results or lesson efficacy have been established.
Three-place comparisons and trailing zeros are sampled; this is not evidence of fluency across all decimals.

Record actual responses, assistance and access mode; 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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1 approach

Selected Default Gakuva

Compare decimals by matching place values, not by counting digits.

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Learning resources

External links for extra practice. They do not replace Gakuva’s teaching approach.

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Check understanding

Compare 0.45 and 0.405 and explain which is greater
Order 3.142, 3.14, 3.2 from smallest to largest
Justify that 0.7 = 0.70 = 0.700 using place-value reasoning

“If your child compares 0.45 and 0.54, can they use place value to explain which is bigger — without reaching for a calculator?”

Curriculum record

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