Mathematics Algebrausually ages 13–14

Quadratic Graphs

Recognise that quadratic functions produce curved (parabolic) graphs, distinguish them from linear graphs, and use plotted quadratic graphs to estimate values and find approximate solutions

How to tell they’ve got it

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

Explain why x² produces a U-shaped curve rather than a straight line
Plot a simple quadratic such as y = x² − 4 from a table of values
Read approximate solutions from a quadratic graph (e.g., where y = 0)

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Try this together

Can your child recognise that an equation like y = x² produces a curved graph rather than a straight line, and use a plotted curve to estimate values?

Where this sits on the map

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

Builds on

Plotting Linear Graphsages 12–14Understanding quadratic graphs requires prior experience plotting linear graphs

Quadratic Graphsthis skill · ages 13–14

Unlocks

Estimating answers (age 13+)ages 13–14Estimating from quadratic graphs requires understanding how curves behave

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

Estimating answers (age 13+)ages 13–14 Expanding Double Bracketsages 13–14 Simultaneous Equationsages 13–14 Factorising Expressionsages 12–13

All Algebra skills →