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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. This work sample is for a satisfactory level. Work samples for above and below level are also available from ACARA.
Additional details |
|
| Year level(s) | Year 7, Year 8 |
|---|---|
| Audience | Teacher |
| Purpose | Assessment task |
| Format | Downloadable resources |
| Teaching strategies and pedagogical approaches | Feedback |
| Keywords | assess, annotated work samples |
Curriculum alignment |
|
| 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)
|
Copyright details |
|
| Organisation | ACARA |
| Copyright | © ACARA. Free-for-education material. |
Related resources
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WS01 - Geometric reasoning
Use this work sample to assess students' knowledge and skills to demonstrate what they know about angles in triangles and intersecting lines with parallel lines.
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Reflections and coordinates inquiry
This prompt explores the effect of reflection in a given line on a Cartesian plane.
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Combined transformations inquiry
Investigating combinations of translations, reflections and rotations and describing on the Cartesian plane using coordinates. Identify line and rotational symmetries.
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2-dimensional shapes inquiry
Investigate the relationship between the features of circles and 2D shapes. Using formulas to solve problems involving circumference and area.
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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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Measuring circles
This unit consists of several lessons that introduce the geometry of circles.
Resource details