Order of operations (age 10+)
Look for and use mathematical structure: exploit the hierarchy of 2-D shapes to deduce properties; use order of operations and algebraic structure to simplify expressions; connect fraction–decimal–percentage equivalences; use ratio structure to solve proportion problems efficiently
Lesson
Set out your lesson
“Order of operations (age 10+) means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.”
Bring to the table
- Paper strips or a folded circle
- Pencil and labels (1/2, 1/4)
Extra for the adult
Worked example. Fold a strip in half: each piece is 1/2 of the whole.
Optional challenge. For Order of operations (age 10+), add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Order of operations (age 10+), not mastery.
Share and support
Compare teaching approaches
Teaching approaches
Gakuva’s recommended starting approach is selected. You can still compare every option.
1 approach
Order of operations (age 10+) means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.
Materials: Paper strips or a folded circle; Pencil and labels (1/2, 1/4). Adult folds a strip into halves and labels 1/2. Child makes three fair shares (halves/quarters) and names each piece. Done: three correctly named equal parts. Stop after the fresh check; keep optional challenge for another day.
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.
Practice this concept
Start practiceOrder of operations (age 10+) practice
Practice key ideas from Order of operations (age 10+).
Free · no login · no ads · Practice answers and completion are not saved. Parent observation remains the lesson record.
Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
Illustrative Mathematics · Practice link — not the full lesson
Watch Out for Parentheses 1
Before you open · source notes
Watch Out for Parentheses 1 supports order of operations with grouping. Not every algebra proof.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk the learner to evaluate an expression two ways and say why parentheses matter.
Opening this link does not save learning or assess mastery.
Source, access and review notes
Public Illustrative Mathematics task page. The .html address responds HTTP 308 to this URL. An anonymous GET of this URL on 2026-11-12 returned HTTP 200 with no login or payment prompt. Where a teacher solution is present, it is on the same page as the student task; this check did not find a separate locked student view. An adult can use the student view section and should not read a solution aloud. Advertising was not observed in the fetched HTML text; that is not a browser, device, or ad-free guarantee. This is a paper or discussion task, not an automatically marked interactive game. Opening the link does not save practice or assess mastery. Diagrams on the page use missing or filename-only alt text, so they are not an accessible image equivalent. Accessibility still depends on an adult describing the picture.
Illustrative Mathematics. “Watch Out for Parentheses 1.” Licensed CC BY-NC-SA 4.0. External task; Gakuva does not copy, host, embed, or redistribute it.
CC BY-NC-SA 4.0 — link only
Check understanding
- Use the property that all rectangles are parallelograms to deduce missing angle facts
- Recognise that 3 × (n + 5) = 3n + 15 by applying distributive structure
- Use the equivalence 1/8 = 0.125 = 12.5% flexibly to solve a comparison problem
“When your child is simplifying an algebraic expression or comparing ratios, do they look for the underlying structure — like using the order of operations or spotting that two ratios are equivalent — to make the calculation more efficient?”
Curriculum record
- Type
- Meta
- Subject
- Mathematics
- Domain
- Mathematical Thinking
- Age range
- Ages 10–11
Standards