MathematicsMathematical ThinkingAges 6–7

Shape patterns

Look for and use mathematical structure: apply properties of operations, place-value patterns, and relationships between shapes to solve problems efficiently

Lesson

Set out your lesson

Use structure, not a memorised slogan, to explain a shortcut.

Before teaching

Use this short check, then start teaching.

Activity

Comfort with the particular task and communication mode; optional oral/scribed work is recorded separately.

Policy

Check the learner can access these words/materials and prerequisite ideas; historical authorship is not readiness or mastery. If not, demonstrate briefly or revisit the named prerequisite.

Printer, credit, and teaching notes

Check the learner can access these words/materials and prerequisite ideas; historical authorship is not readiness or mastery. If not, demonstrate briefly or revisit the named prerequisite.

Use counters or drawn dots and the square/rectangle sketches. No special manipulatives needed. No printer: view only the active learner card on screen, or an adult copies its exact prompts onto plain paper without answers. Oral pointing/dictation is an access option; record it as adapted/supported and do not claim handwriting from it. Keep adult keys/scripts separate; supply only the current stage.

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

Next: Show

Share teaching feedback

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

Use structure, not a memorised slogan, to explain a shortcut.

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 Shape patterns. 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

Use the commutative property deliberately (e.g. reorder 3 + 9 as 9 + 3 to count on from the larger number)
Use place-value structure to add or subtract tens (e.g. 47 + 10 = 57 because only the tens digit changes)
Recognise structural similarities between shapes (e.g. rectangles and squares both have 4 sides and 4 right angles)

“When your child notices a pattern in their maths work — like how multiplying by 10 always adds a zero — do they use that pattern to solve similar problems more quickly?”

Curriculum record

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

Standards

ccss-math:MP.7

Curriculum