Writing Algebraic Equations

Express missing number problems algebraically using letters for unknowns; translate word problems into equations

How to tell they’ve got it

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

Write 'I think of a number, double it, and add 5 to get 17' as 2n + 5 = 17
Solve a one-step equation such as 3x = 24 and explain the reasoning
Express a word problem as an algebraic equation and find the unknown value

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Try this together

If your child reads "I think of a number, double it, and add 5 to get 17," can they write that as an equation using a letter for the unknown and solve it?

Where this sits on the map

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

Builds on

Writing Number Sentencesages 10–11Writing algebraic expressions extends writing/interpreting numerical expressions

Order of operationsages 10–11Solving equations uses order-of-operations understanding

Writing Algebraic Equationsthis skill · ages 10–11

Unlocks

Equations with Two Unknownsages 10–11Finding pairs satisfying equations requires algebraic expression skills

Algebraic Notationages 11–12Algebraic notation builds on KS2 expressing missing-number problems algebraically

Solving Linear Equationsages 11–14Solving linear equations extends KS2 missing-number problem work

Advanced Maths Vocabularyages 10–11Distinguishing expression/equation/formula requires algebraic precision

solid = must come firstdashed = helps

Curriculum alignment

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

Show candidate curriculum codes · 3 ACARA · 2 NSW · 3 VIC

Australian Curriculum v9 candidate

AC9M4A01medium confidenceYear 4 · Algebra

find unknown values in numerical equations involving addition and subtraction, using the properties of numbers and operations

AC9M6A02medium confidenceYear 6 · Algebra

find unknown values in numerical equations involving brackets and combinations of arithmetic operations, using the properties of numbers and operations

AC9M4A02medium confidenceYear 4 · Algebra

recall and demonstrate proficiency with multiplication facts up to 10 x 10 and related division facts; extend and apply facts to develop efficient mental strategies for computation with larger numbers without a calculator

NSW syllabus codes & stages only

MA2-MR-02low confidenceMathematics K-10 · Stage 2

MA2-AR-01low confidenceMathematics K-10 · Stage 2

Victorian Curriculum 2.0 codes & levels only

VC2M6A02medium confidenceMathematics · Level 6 · Algebra strand

VC2M4A01medium confidenceMathematics · Level 4 · Algebra strand

VC2M5A02medium confidenceMathematics · Level 5 · Algebra strand

These are candidate alignments generated by semantic matching — machine-suggested and unreviewed (v0.1), not official or verified mappings. For official curriculum content see australiancurriculum.edu.au, curriculum.nsw.edu.au and f10.vcaa.vic.edu.au. Don’t rely on them for registration or compliance purposes.

Nearby on the map

Equations with Two Unknownsages 10–11 Linear number sequencesages 10–11 Number Pattern Relationshipsages 10–11 Systematic Listingages 10–11

All Algebra skills →