C Curriculum Explorer
Mathematics·Algebra·representational

Plotting Linear Graphs

Plot linear graphs by generating a table of values, reduce a two-variable linear equation to the form y = mx + c, and calculate gradients from two points on a line

Suggested ages 12–14

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Evidence of understanding

  • Generate a table of (x, y) values for a linear equation and plot the points accurately
  • Rearrange an equation such as 2x + 3y = 12 into the form y = mx + c
  • Calculate the gradient between two coordinate points using rise over run

Assessment prompt

Can Plotting Linear Graphs draw the graph of a straight line by making a table of values and plotting the points — and work out the gradient from two points on the line?

Standards alignment

8.F.1US · ccss-math

Function definition and graphs

Common Core State Standards for Mathematics · 8

8.F.4US · ccss-math

Constructing linear functions

Common Core State Standards for Mathematics · 8

KS3.Maths.Alg.10GB · uk-nc-2013

Interpret Mathematical Relationships

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

KS3.Maths.Alg.11GB · uk-nc-2013

Standard Form of Linear 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