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
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