Geometrical Proof with Vectors

Geometrical Proof with Vectors
Geometrical Proof with Vectors
Geometrical Proof with Vectors
Geometrical Proof with Vectors

What's Included

  • Smart Notebooks Presentation
  • Activ Inspire Flipchart
  • Lesson Plan
  • Microsoft PowerPoint Presentation
  • Differentiated Worksheet

Geometrical Proof with Vectors

Students learn how to use vector notation to prove geometrical facts about 2D shapes.  Throughout the lesson students identify and prove parallel lines, parallelograms and trapezia using vector notation.  This lesson comes with a vectors worksheet.  The start of the lesson is used to review using vector addition and subtraction to define the geometrical properties of polygons.
Differentiated Learning Objectives
  • All students should be able to use the geometrical properties of polygons to define vectors.
  • Most students should be able to prove the geometrical properties of polygons using vectors.
  • Some students should be able to use ratio and the geometrical properties of polygons to prove two lines are parallel.
View online lesson
Lesson Downloads
Download PowerPoint Download Notebook Download Flipchart Download Worksheet
Scheme of Work Link
Mathematical Proof
Related Blogs
Proving Geometrical Relationships using Algebra 

You may also like...

Reverse Percentages

Using equivalent ratios students learn how to work a percentage change in reverse to calculate the original 100%...

Plotting Time Series

To plot a time series at GCSE students are taught to choose suitable axes from the data available and recognise ...

Simplifying Surds

Students learn about what a surd is and how it can be simplified using square factors.  To consolidate and exten...

Vector Addition and Subtraction

Students learn how to perform vector addition and subtraction using column notation.  As learning progresses stu...

Mr Mathematics Blog

Calculating the Volume of a Pyramid

When calculating the volume of a pyramid we can substitute the values of the length, width and perpendicular height into the formula V = 1/3 lwh.  In my experience this is often provided for the students with little explanation as to why a volume of a pyramid is exactly one third the volume of a […]

Solving 3D Problems using Trigonometry

When teaching solving 3D problems using trigonometry we begin the lesson with a recap of Pythagoras’ Theorem and the three trigonometric ratios.  We do this by matching the ratio and equations to the respective right-angled triangle.   Students are encouraged to work in pairs and to show the diagrams as part of the working out on […]

Rounding to a significant figure

When I teach rounding to a significant figure, I ask the class to discuss in pairs or small groups a definition for the word significant.  It is a word that all the students have heard before but not all are able to define. After 2 or 3 minutes of conversation I ask the students to […]