Learning Map
MathematicsAlgebrausually ages 12–14

Simple formulae

Understand and use standard mathematical formulae; rearrange formulae to change the subject, performing inverse operations to isolate a different variable

How to tell they’ve got it

Tick these off as you see them — no test required.

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Try this together

If a formula gives speed as distance ÷ time, can your child rearrange it to find distance or time when they're the unknowns instead?

Where this sits on the map

Stuck here? Check the skills it builds on first. Confident? Here’s what it unlocks.

Builds on
Solving Linear Equationsages 11–14Rearranging formulae uses the same inverse-operation techniques as solving equations
Substituting into Formulaeages 11–12Rearranging formulae requires fluent substitution to verify results
Using inverse operationsages 11–12Rearranging formulae to change the subject is an application of inverse operations to algebraic expressions
Simple formulaethis skill · ages 12–14
Unlocks
Trigonometry basicsages 13–15Using trig ratios to find unknowns requires formula rearrangement
Compound Unitsages 11–14Rearranging compound unit formulae (speed = distance/time) uses formula rearrangement skills
Plotting Linear Graphsages 12–14Rearranging to y = mx + c form uses formula rearrangement skills
Types of angles (age 13+)ages 13–14Rearranging a² + b² = c² to find a shorter side uses formula rearrangement

solid = must come firstdashed = helps

Curriculum alignment

Candidate matches to official curriculum codes — machine-suggested, unreviewed (v0.1).

This skill sits beyond Year 6 in the Australian Curriculum, so no F–6 code is matched. It also sits beyond the NSW K–6 syllabuses. It also sits beyond Level 6 in the Victorian Curriculum.

Nearby on the map

Factorising Expressionsages 12–13 Linear Function Graphsages 12–14 Nth-Term Rulesages 12–14 Plotting Linear Graphsages 12–14

All Algebra skills →