Planning tool
Year levels
Strands
Expected level of development
Australian Curriculum Mathematics V9: AC9M4M04
Numeracy Progression: Understanding geometric properties: P4
At this level, students understand that an angle is a figure formed by two rays sharing a common end point, called the vertex of the angle.
Use geoboards to explore different angles when creating a range of triangles, quadrilaterals and other polygons. Order the angles according to size: those that are more than, less than or equal to a right angle.
Students will demonstrate their learning of the types of angles through finding, drawing, making and describing angles. They will identify right angles and compare other angles to a right angle using language such as ‘greater than’, ‘larger’, ‘less than’ and ‘smaller’.
Teachers can provide photos or set tasks involving students taking photos so there is context to identifying angles, and allow students to find angles in an assortment of shapes and explain their use.
Teaching and learning summary
 Model how to describe an angle.
 Compare and order angles.
 Present simple anglerelated problems and tasks that involve estimation.
Students:
 create, compare and order angles
 classify angles as equal to, greater than, or less than a right angle
 use digital tools to estimate and check the measurements of an angle (extension).
Some students may:
 believe that the length of the lines (rays) of the angle define the angle. Remind students that the angle is the space created by the lines (rays) and not the lines (rays) themselves, and explicitly differentiate between a larger turn and a larger space. Model two rays to create an angle; extend lengths of rays to show that the angle does not change.
The Learning from home activities are designed to be used flexibly by teachers, parents and carers, as well as the students themselves. They can be used in a number of ways including to consolidate and extend learning done at school or for home schooling.
Learning intention
 We are learning how to identify right angles.
 We are learning how to identify different angles compared to right angle.
Why are we learning about this?
 Angle measurements are used in construction and design.
What to do
 Find different angles around your home. Here are some suggestions to get you started: salad tongs, scissors, chairs, table or hands of a clock. You can even form angles with your body.
 Examine each angle and compare each object to a right angle.
 Create a table to describe your results. Classify and draw the objects into your table.
equal to a right angle
greater than a right angle
less than a right angle
Success criteria
I can:
 create, compare and order angles
 classify angles as equal to, greater than, or less than a right angle.
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Teaching strategies
A collection of evidencebased teaching strategies applicable to this topic. Note we have not included an exhaustive list and acknowledge that some strategies such as differentiation apply to all topics. The selected teaching strategies are suggested as particularly relevant, however you may decide to include other strategies as well.

Explicit teaching
Explicit teaching is about making the learning intentions and success criteria clear, with the teacher using examples and working though problems, setting relevant learning tasks and checking student understanding and providing feedback.
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Questioning
A culture of questioning should be encouraged and students should be comfortable to ask for clarification when they do not understand.
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Classroom talks
Classroom talks enable students to develop language, build mathematical thinking skills and create mathematical meaning through collaborative conversations.
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Teaching resources
A range of resources to support you to build your student's understanding of these concepts, their skills and procedures. The resources incorporate a variety of teaching strategies.

A piece of cake
In this lesson, students explore ways to compare angles and recognise the names of different types of angles.
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Angles: chalk designs: Part 2
In this lesson, students create their own chalk designs in the style of a stainedglass window that includes different types of angles.
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Olympic turns
Teaching notes to support the use of Olympic sports photos that enable students to estimate the amount of turn (angle).
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Geometry
A comprehensive book containing an overview of geometry stages, as well as lesson ideas and a teaching framework for geometry. Sections 1 and 2 are most relevant to this level.
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Teaching about angles
A collection of practical lessons designed to help students estimate and measure angles.
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The Geometry of Letters
Use this lesson to explore right angles using the geometry of letters of the alphabet.
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