Mathematics Algebrausually ages 11–12

Substituting into Formulae

Substitute numerical values into formulae and expressions including scientific formulae; evaluate expressions by replacing variables with given values and computing the result using correct order of operations

How to tell they’ve got it

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

Substitute positive and negative values into algebraic expressions and evaluate
Substitute values into formulae involving multiple operations and powers
Use correct order of operations when evaluating expressions after substitution

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Try this together

If a formula says that the area of a triangle is ½ × base × height, can your child substitute in the measurements and calculate the answer correctly?

Where this sits on the map

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

Builds on

Algebraic Notationages 11–12Substitution requires understanding algebraic notation

Substituting into Formulaethis skill · ages 11–12

Unlocks

Solving Linear Equationsages 11–14Solving equations requires substitution skill to check answers

Linear Function Graphsages 12–14Interpreting y = mx + c requires substitution to generate coordinate pairs

Simple formulaeages 12–14Rearranging formulae requires fluent substitution to verify results

Generating Sequencesages 11–14Position-to-term rules require substituting the position number into a formula

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 · 1 VIC

Australian Curriculum v9 candidate

AC9M6A02low confidenceYear 6 · Algebra

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

AC9M5N09low confidenceYear 5 · Number

use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts; formulate the problems, choosing operations and efficient calculation strategies, using digital tools where appropriate; interpret and communicate solutions in terms of the situation

AC9M5N05low confidenceYear 5 · Number

solve problems involving addition and subtraction of fractions with the same or related denominators, using different strategies

NSW syllabus codes & stages only

MA3-MR-02low confidenceMathematics K-10 · Stage 3

MA3-AR-01low confidenceMathematics K-10 · Stage 3

Victorian Curriculum 2.0 codes & levels only

VC2M6A02low confidenceMathematics · Level 6 · 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

Algebraic Notationages 11–12 Algebraic Transformationsages 11–13 Collecting Like Termsages 11–12 Coordinates (age 11+)ages 11–12

All Algebra skills →