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Measuring circles
Students explore the radius, diameter and area of circles and learn how to apply this knowledge to solve problems. (Note: some of the units used are imperial, not metric.)
Additional details |
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Year level(s) | Year 7, Year 8 |
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Audience | Teacher |
Purpose | Assessment task |
Format | Web page |
Teaching strategies and pedagogical approaches | Feedback |
Curriculum alignment |
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Strand and focus | Measurement |
Topics | 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
AC9M8N01
Recognise irrational numbers in applied contexts, including square roots and Π |
Numeracy progression |
Understanding units of measurement (P9)
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Copyright details |
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Organisation | Illustrative Mathematics |
Copyright | © 2017-2019 Open Up Resources. Creative Commons BY 4.0. |
Related resources
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Mathematics Year 8 work sample portfolio – ACARA
Refer to Work sample 12: number and measurement – investigating circles, and the related tasks for guidance in assessing students’ understanding of circles, including the formula to calculate the area of a circle and identifying its diameter and circumference.
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Paper, pencil and protractor
In this activity, students are asked to construct triangles with a given set of restrictions. This can be done as a group activity. After completing the constructions, students are asked to explain their findings.
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Construction
How to use a pair of compasses and a ruler to construct angles and shapes
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Reflection in a line
This prompt explores the effect of reflection in a given line, on a Cartesian plane.
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