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# reSolve: Circumference

This sequence of three lessons explores the properties of circles, in particular the relationship between the diameter and circumference. In the first lesson, students use a cylinder containing three tennis balls to understand that a circumference is 'three and a bit' times the diameter. They then complete five different activities measuring circular objects to determine a more accurate value for pi (π). Finally, students are given a range of investigation activities to consolidate their learning. Each lesson is outlined in detail including curriculum links, vocabulary, supporting PowerPoint presentations, materials needed, sample answers, discussion points and student resources. This sequence is part of the reSolve: Mathematics by Inquiry program.

## Additional details

Year level(s) Year 7
Audience Teacher
Purpose Teaching resource
Format Downloadable resources
Teaching strategies and pedagogical approaches Mathematics investigation
Keywords circumference, pi, diameter, radius

## Curriculum alignment

Curriculum connections Numeracy
Strand and focus Space, Build understanding, Apply understanding
Topics Shapes and objects, Angles and geometric reasoning
AC: Mathematics (V9.0) content descriptions
AC9M7M03

Describe the relationship between π and the features of circles including the circumference, radius and diameter

Numeracy progression Understanding units of measurement (P9)

## Copyright details

Organisation

reSolve Maths by Inquiry

Copyright

© Australian Government Department of Education, Skills and Employment 2021. Creative Commons BY-NC-SA 4.0.