MathematicsGeometryAges 9–12

Degrees and turns

Know that angles are measured in degrees, where one degree is 1/360 of a full turn; understand that an angle turning through n one-degree angles has a measure of n degrees

Lesson

Set out your lesson

Interpret degrees as equal units of turn and derive familiar fractions of a full turn.

Before teaching

Use this short check, then start teaching.

Activity

Ask the learner to point to the vertex and arms of an angle they draw and make a quarter turn with a finger. If they compare arm lengths instead of the opening/turn, revisit what an angle is.

If Not Ready

Pause the fresh check. Revisit the named prerequisite or repeat the Show with smaller steps; record supported practice rather than an independent result. Authored predecessor existence never proves this learner is ready.

Printer, credit, and teaching notes

Allow 20 minutes. Use the supplied diagrams on screen or trace them on scrap paper; do not measure the screen with a protractor. A fingertip can trace the turn without moving the whole body. Hide teaching panels for Try.

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, not learner mastery or universal canonical coverage.
Use the supplied materials on screen or print one current sheet; physical printing can vary.
Record the actual response and assistance; completing a task does not establish mastery.

Use paper or the supplied screen materials in a comfortable place. No special equipment or purchase is needed. Stop or take a break when wanted.

Record the learner’s actual words or work, task ID and any help. Do not prefill success. Allow oral, pointing or written responses as appropriate; oral independent reasoning is not automatically supported. Copied/scribed text is not independent composition or handwriting. No name, account, upload or real family record is required.

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Share and support

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.

BBC Bitesize · Practice link — not the full lesson

KS3 Maths

Open practice(new tab)

Before you open · source notes

KS3 Maths supports Degrees and turns. 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 BBC Bitesize 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.

BBC Bitesize. “KS3 Maths.” External page; Gakuva does not copy, host, embed, or redistribute materials.

Unknown — link only

Check understanding

Explain that a full turn is 360° and a right angle is 90°
Describe what 'one degree' means in terms of a fraction of a circle
State that an angle of 45° has turned through 45 one-degree angles

“If your child knows a full circle is 360 degrees, can they tell you how many degrees a quarter turn is — and explain roughly what one single degree looks like?”

Curriculum record

Type: Conceptual
Subject: Mathematics
Domain: Geometry
Age range: Ages 9–12

Standards

acara-v9:AC9M5M04ccss-math:4.MD.5.accss-math:4.MD.5.bthe-ontario-curriculum-mathematics-2020:ON-MATH-2020-G5-E2.3the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G5-E2.4the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G6-E2.2

Curriculum