Circle Theorems

Circle Theorems
Circle Theorems
Circle Theorems

What's Included

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

Circle Theorems

Students are taken through the discovery of various circle theorems. The theorems include, angle at the centre is twice the angle at the circumference, angles in the same segment and angles in cyclic quadrilaterals.

Each circle theorem has an associated proof in the additional resources section.  Once the theorems are discovered there is opportunity for students to consolidate their learning by calculating unknown angles.

Differentiated Learning Objectives
  • All students should be able to discover the relationships between the angles at the centre and circumference of a circle, opposite angles in cyclic quadrilaterals and angles at the circumference in the same segment.
  • Most students should be able to discover the three theorems and apply them individually to calculate missing angles.
  • Some students should be able to discover and apply the three properties and apply them to calculate angles involving multiple theorems.
Scheme of Work Link
Circle TheoremsMaths lessons to engage and inspire.

You may also like...

Constructing Regular Polygons

Students learn how to construct regular polygons to investigate the relationship between interior and exterior a...

Interior and Exterior Angles

Students use the properties of regular polygons to calculate interior and exterior angles. As learning progresse...

Drawing and Measuring Angles

Drawing and Measuring Angles: Students learn how to measure and construct different types of angles using a rule...

Tangents Circle Theorems

This lesson guides the class through the discovery of circle theorems involving tangents. The theorems include, ...

Mr Mathematics Blog

How to Draw a Venn Diagram to Calculate Probabilities

There are three common ways to organise data that fall into multiple sets: two-way tables, frequency diagrams and Venn diagrams.  Having blogged about frequency diagrams before I thought I would write about how to draw a Venn Diagram to calculate probabilities. Recapping Two-Way Tables This activity works well to review two-way tables from the previous […]

Calculations with Percentages

Students learn how to find a percentage of an amount using calculator and non-calculator methods.  As learning progresses they use decimal multipliers to find a percentage change and calculate a simple interest in financial mathematics. This topic follows on from Fractions, Decimals and Percentages and takes place in Year 8 Term 5. Calculations with Percentages […]

Proving Geometrical Relationships using Algebra

Back in May 2017 maths teachers around the country eagerly awaited the first exam for the new GCSE Mathematics syllabus.  Proving geometrical relationships using algebra featured at grade 9.  In Paper 1 of Edexcel’s test paper the last question of the higher tier looked like this. Edexcel wrote about student’s performance on this question in […]