MathematicsMathematical ThinkingAges 6–7

Numbers on a number line

Select and use appropriate tools and representations (number lines, hundred squares, rulers, part-whole models) to support problem-solving

Lesson

Set out your lesson

Choose a representation for a reason rather than always doing a calculation mentally.

Before teaching

Use this short check, then start teaching.

Activity

Inferred, not a taxonomy edge: learner can access the supplied prompt with agreed support and can explain or mark a response. If earlier skills are unfamiliar, use the prerequisite topic for teaching; an authored prerequisite is not proof this learner is ready.

Printer, credit, and teaching notes

Sequence

Keep the two adult-only cards off the learner screen. Have a pencil and scrap paper if useful; oral pointing/typing/AAC can replace handwriting unless spelling or composition is the target. No printing, cutting, account or purchase is required.
Open Show first, read the explanation together, and pause to check the central idea. Then do Guided Try together.
For Try, close earlier models and the adult keys unless the task explicitly supplies a reference. Record any hints, read-aloud help or model reopening; do not call supported work independent.
Use only the active learner card. Keep the private key closed until an attempt is recorded. Stop or take a break on request; practical claims stay not observed unless actually done.

No Printer

Use on screen; read aloud or recreate a tactile model only with declared support. No printer or purchased kit.

Privacy

Never display adult keys or dictation spellings with a learner task; no family financial, identity or conflict disclosure.

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

Next: Show

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Entire curriculum

1858 concepts · 9 subjects

Continue learning

Share and support

Compare teaching approaches

Teaching approaches

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

1 approach

Selected Default Gakuva

Choose a representation for a reason rather than always doing a calculation mentally.

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.

NRICH · Practice link — not the full lesson

Primary

Open practice(new tab)

Before you open · source notes

Primary supports Numbers on a number line. 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

Choose a number line or hundred square to support adding or subtracting two-digit numbers
Select a ruler when a problem requires measuring length
Explain why one representation (e.g. a number line vs cubes) is more helpful for a particular problem

“When your child is tackling a maths problem, do they choose a useful tool — like a number line for addition or a hundred square to count on — rather than always working in their head?”

Curriculum record

Type: Meta
Subject: Mathematics
Domain: Mathematical Thinking
Age range: Ages 6–7

Standards

ccss-math:MP.5