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Selected topic Estimating answers (age 13+) Mathematics · Algebra · view full details
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Mathematics·Algebra·procedural

Estimating answers (age 13+)

Use graphs of linear and quadratic functions to estimate output values for given inputs, find approximate solutions to equations, and interpret graphical information in real-world contexts

Suggested ages 13–14

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Evidence of understanding

  • Read off an approximate y-value for a given x from a plotted curve
  • Find approximate solutions to an equation by identifying where a graph crosses the x-axis or another line
  • Interpret a real-world graph (e.g., distance–time) to answer contextual questions

Assessment prompt

Can Estimating answers (age 13+) use a graph — whether a straight line or a curve — to read off an answer to an equation approximately, rather than solving it algebraically?

Standards alignment

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.13GB · uk-nc-2013

Approximate Solutions from Graphs

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