The area and circumference of a circle

A FULL LESSON on the area and circumference of a circle.

Assumed prior knowledge:

• Rounding with significant figures and decimals.
• Simplifying expressions.

We are learning about: The area and circumference of a circle.
We are learning to: Calculate the area and circumference of a circle.

Differentiated objectives:

• Developing learners will be able to calculate the circumference of a circle given its radius or diameter.
• Secure learners will be able to calculate the area and circumference of a circle given its radius or diameter.
• Excelling learners will be able to solve unfamiliar problems using their knowledge calculating the area and circumference of a circle.

Starter: Labelling a circle - starter activity
Main:

• Examples finding the ratio of approximated circumference to diameter for each circle and comparing solutions to 2dp.
• Two further examples; one, leaving answers as rounded values and the second leaving answers in terms of π.
• Standard questions progressing in difficulty, following on to some problem solving questions (inc. two in context).
• Two further examples on area; one, leaving answers as rounded values and the second leaving answers in terms of π.
• Standard questions progressing in difficulty, following on to some problem solving questions (inc. two in context).
  Plenary: Spot the mistake.

Extra:

• Examples provided on printable worksheet. Similar to a bookmark shape, the students find it easy to stick this in on the (I use) left side of the page in their books. It saves time from writing down large amounts of text and drawing diagrams. More time to focus on learning!!
• Booklet with all questions provided as worksheet to stick in books.

Any feedback is appreciated!