How can you tell they’ve got it: Algebraic Transformations?

If they’ve got it, you’ll see things like: Translate a word problem or real-world situation into an algebraic expression or formula; Construct a table of values from an algebraic rule; Plot the corresponding graph and interpret it in the context of the problem. Or just try it together: Can your child take a real-world situation — like a taxi that charges £2 plus £1.50 per mile — and write an algebraic formula for the total cost, then sketch what the graph looks like?

Mathematics Algebra Ages 11–13

Algebraic Transformations

Your child can turn a real situation into a formula and a graph. A taxi charging $2 plus $1.50 a mile becomes a rule they can plot.

In curriculum terms

Model situations or procedures by translating them into algebraic expressions or formulae and by using graphs; move between word problems, algebraic representations, tables, and graphical representations

Ages are typical, not deadlines — follow your child’s pace. How to help at home →

How to tell they’ve got it

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

Translate a word problem or real-world situation into an algebraic expression or formula
Construct a table of values from an algebraic rule
Plot the corresponding graph and interpret it in the context of the problem

🖨 Print this page to keep the checklist — it prints beautifully.

Try this together

Can your child take a real-world situation — like a taxi that charges £2 plus £1.50 per mile — and write an algebraic formula for the total cost, then sketch what the graph looks like?

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 11–12Translating real-world situations into algebra requires notation fluency

Solving Linear Equationsages 11–14Modelling with algebra requires setting up and solving equations

Algebraic Transformationsthis skill · ages 11–13

Unlocks

Linear Function Graphsages 12–14Recognising the relationship between y=mx+c and its graph requires moving fluently between algebraic and graphical representations

solid = must come firstdashed = helps

Curriculum alignment

Where this fits in the official school curriculum — our best automated guess, not yet checked by a person.

This skill sits outside the F–6 Australian Curriculum — no candidate code matched (v0.1). No NSW K–6 outcome code matched (v0.1). No Victorian Curriculum 2.0 code matched (v0.1).

Nearby on the map

Algebraic Notationages 11–12 Collecting Like Termsages 11–12 Coordinatesages 11–12 Expanding Single Bracketsages 11–13

All Algebra skills →