Simple formulae
Understand and use standard mathematical formulae; rearrange formulae to change the subject, performing inverse operations to isolate a different variable
Lesson
Set out your lesson
“Simple formulae 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
- Two colours of counters
- Paper for ratio or percent notation
Extra for the adult
Worked example. 2 red and 3 blue is the ratio 2:3.
Optional challenge. For Simple formulae, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Simple formulae, not mastery.
Share and support
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Teaching approaches
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1 approach
Simple formulae 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: Two colours of counters; Paper for ratio or percent notation. 1. Say the goal of Simple formulae in plain words once. 2. Adult shows 2 red : 3 blue and says the ratio (or 40% of 10). 3. Child builds three ratios or percentage amounts and records each notation. 4. Fresh check: one fresh ratio or percent reading. Record and stop. Done: three correct ratio/percent records. Proof: parent note of examples and results. Stop: End 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 practiceSimple formulae practice
Practice key ideas from Simple formulae.
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
Measuring Angles
Before you open · source notes
Measuring Angles supports simple formulae. Not every worksheet pack.
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 explain one step of “Measuring Angles” in their own words.
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. “Measuring Angles.” 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
- Identify the subject of a given formula
- Use inverse operations to rearrange a formula to make a different variable the subject
- Rearrange formulae involving multiple steps including fractions and powers
“If a formula gives speed as distance ÷ time, can your child rearrange it to find distance or time when they're the unknowns instead?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Algebra
- Age range
- Ages 12–14
Standards