Order of operations

MathematicsMultiplication & DivisionAges 10–11

Understand and apply the conventional order of operations (PEMDAS/BODMAS) to carry out calculations involving the four operations

Teach this topic

Share and support

Teaching Table

Set out your lesson

Use brackets, powers and the two equal-priority operation pairs to calculate and explain an expression.

Activity

Ask the learner to evaluate 2 × (3 + 4) and explain the first step. Expect 14 with the bracket first. Ask for 20 ÷ 5 and 7 − 3. Expect 4 for each. Revisit Brackets in Expressions if grouping is not secure.

Policy

Check readiness directly. Prerequisite availability is not attainment.

Use the supplied sheets in order: Show, Guided, then Try. Start with the readiness check. This chain may need several short sessions. Do not set a speed target. Read the active sheet on screen and use plain paper or a keyboard. No printer, cutting, purchase or internet is needed. The adult may read the exact prompt, but must record any hints, scribing or calculation help. Oral reasoning is allowed; it does not show independent reading or handwriting. Pause or split the lesson if needed. Keep the adult guide and keys private. Share the Show model during teaching. Before Try, put Show, Guided work and notes aside. Leave the fresh Try givens available. Give no answer or target method during the first attempt. If help is needed, give it and mark the attempt supported. Discuss the keys after the attempt; do not invent a learner result. These are paper or oral mathematics tasks. No personal data, public sharing, purchase, real-world measurement or experiment is required.

Record the actual response and assistance. These tasks do not establish 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.

This lesson does not teach roots, negative powers or fractional powers. Only a small positive square is used.

Record the actual response and assistance. These tasks do not establish mastery.

Share teaching feedback Continue to your family plan

Entire curriculum

1590 concepts · 8 subjects

Compare teaching approaches

Teaching approaches

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

1 approach

Selected Default Gakuva

Use brackets, powers and the two equal-priority operation pairs to calculate and explain an expression.

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.

Start Family ($12/mo) See sample proof packet

Learning resources

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

No additional resources are listed for this topic.

The teaching approach appears above.

Check understanding

Explain why 8 + 2 × 5 = 18 (not 50) by referencing multiplication before addition
Evaluate a multi-step expression like 12 ÷ 3 + 4 × 2 correctly as 12
State the correct order: brackets, then orders/exponents, then multiplication/division (L→R), then addition/subtraction (L→R)

“If your child sees '8 + 4 × 3', do they get 20 — not 36 — because they know to do the multiplication before the addition?”

Curriculum record

Type: Conceptual
Subject: Mathematics
Domain: Multiplication & Division
Age range: Ages 10–11

Standards

uk-nc-2013:Ma6/2.2f