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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.

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.

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 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.

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.

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.

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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