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
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