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Selected topic Quadratic Graphs Mathematics · Algebra · view full details
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Mathematics·Algebra·conceptual

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

Suggested ages 13–14

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Evidence of understanding

  • 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)

Assessment prompt

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

Standards alignment

8.F.3US · ccss-math

Linear and non-linear functions

Common Core State Standards for Mathematics · 8

8.F.5US · ccss-math

Qualitative description of functions

Common Core State Standards for Mathematics · 8

KS3.Maths.Alg.12GB · uk-nc-2013

Estimate Values and Solve Simultaneous Equations

The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3

KS3.Maths.Alg.9GB · uk-nc-2013

Graphs of Linear and Quadratic Functions

The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3