Proving Lines are Parallel Using Vectors – Complete Lesson

This is a complete lesson on proving lines are parallel using vectors that looks at how to use vectors to show the three points are co-linear or that 2 lines are parallel. The lesson is designed with the new GCSE specification in mind.

Lesson Objective

  • To produce geometrical proofs to prove that points are co-linear and that vectors/lines are parallel.

Who is this Lesson For?

This pack is designed for GCSE higher tier students. It could also be used with high ability Key Stage 3 students.

What is Included?

Included in this download are the following:

  • Full lesson plan for the ‘Proving Lines are Parallel Using Vectors’ lesson, including introduction, teaching content, individual activities, plenary and suggested support and extension activities
  • Parallel Example
  • Mini Plenary
  • Colinear Points Example
  • Student Worksheet on Proving Lines are Parallel Using Vectors
  • Vectors Fact Sheet
  • Complete Solutions to all Questions

Lesson Progression

This is the fourth lesson in the Vectors & Geometric Proof unit of work (the unit is also available as a pack including homework activities and a unit assessment).

The other lessons in the unit are: