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Finding the Equation of a Line•
Linear Functions

Linear Functions: Card Sort WORKSHEET

Suitable for Year groups: Year 8, Year 9
GCSE Tier: Foundation
Targeting grades: 1-3
Prerequisite knowledge: Plot points on a coordinate plane, substitute values into equations, create tables of values, and recognise patterns in linear functions.
Learning Objective: Reduce a given linear equation in two variables to the standard form y = mx + c; calculate and interpret gradients and intercepts of graphs of such linear equations numerically, graphically and algebraically.

Linear Functions: Card Sort WORKSHEET DESCRIPTION

Challenge your students with this hands-on activity! Students will match 18 sets of equations, tables of values, and graphs, reinforcing their understanding of linear relationships.

Equations include those parallel to the x and y axis, as well as forms like y = mx, y = x + c, and y = mx + c. Four equations have a negative gradient, and two have fractional gradients.

For an extra challenge, some values in the tables do not appear on the graphs, so students will need to substitute values into equations and use pattern recognition to complete the puzzle.

Perfect for independent work or group tasks, this activity sharpens skills in identifying and interpreting different representations of functions.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

Linear Functions: Card Sort Worksheet suitable for Year 8 and Year 9 Students

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Frequently Asked Questions

This activity is designed for Year 8 and Year 9 students who are developing their understanding of linear relationships. The matching format helps these students connect different representations of functions while building confidence with coordinate geometry and algebraic manipulation.