# Pi Day Activities for Secondary Schools

To celebrate Pi Day (14 March) and the return of students to the classroom I wanted to share some pi day activities for secondary schools that showcase the wonderful and exciting things we can learn from circles.

There is a fun and engaging lesson for every year group and ability. Each lesson is fully differentiated and comes with a printable worksheet.

I hope your students enjoy the activities – happy Pi Day everyone.

## Year 7 – Parts of a Circle

Students learn how to identify and describe the different parts of a circle using keywords.

Later, as learning progresses they learn how to construct circular shapes to scale.

Differentiated Learning Objectives

• All students should be able to identify and construct the radius, diameter, circumference and area of a circle.
• Most students should be able to identify and construct a radius, diameter, circumference, area, chord, tangent and arc.
• Some students should be able to construct circular shapes using the appropriate terminology and investigate basic circle properties.

## Year 8 – Area of a Circle

Students investigate how a circle can be made into a parallelogram and then a rectangle, to derive formula for the area of a circle.

Later, as learning progresses they use the formula to calculate the area of a circle and semi-circle in terms of pi.

Differentiated Learning Objectives

• All students should be able to derive the formula for the area of a circle.
• Most students should be able to apply the formula for the area of a circle.
• Some students should be able to calculate the area of a semi-circle.

## Year 9 – Problems with Circular Shapes

Year 9 students use the circumference and area formulae to solve problems with circular shapes.

Later, as learning progresses they use develop written methods as solutions are presented in terms of Pi.

Differentiated Learning Objectives

• All students should be able to solve problems involving the perimeter of circular shapes.
• Most students should be able to solve problems involving the perimeter and area of circular shapes.
• Some students should be able to set up and solve equations to model the area and perimeter of circular shapes.

## GCSE Foundation – Constructing Polygons

Students learn how to construct regular polygons within a circle using a pair of compasses.

Later, as learning progresses they investigate the relationship between interior and exterior angles.

Differentiated Learning Objectives

• All students should be able to construct a regular polygon using a pair of compasses.
• Most students should be able to discover the sum of the exterior angles around a polygon.
• Some students should be able to discover the sum of interior and exterior angles around a polygon.

## GCSE Higher – Applying Circle Theorems

Students learn how to apply multiple circle theorems to solve complex a problem.

Later, as learning progresses students combine the multiple circle theorems to derive a proof.

Differentiated Learning Objectives

• All students should be able to apply a single circle theorem.
• Most students should be able to apply multiple circle theorems to solve complex problems.
• Some students should be able to prove the angle at the centre, cyclic quadrilaterals and angles in the same segment circle theorems.

## Mr Mathematics Membership

My name is Jonathan Robinson and I am passionate about teaching mathematics. I am currently Head of Maths in the South East of England and have been teaching for over 15 years. I am proud to have helped teachers all over the world to continue to engage and inspire their students with my lessons.

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