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**Scheme of work: GCSE Foundation: Year 9: Term 6: Angle Properties **

- Know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles.
- Draw given angles, and measure them in degrees (°)
- identify:
- angles at a point and one whole turn (total 360°)
- angles at a point on a straight line and 1/2 a turn (total 180°)
- other multiples of 90°

- use conventional terms and notations: points, lines, vertices, edges, planes, parallel lines, perpendicular lines, right angles, polygons, regular polygons and polygons with reflection and/or rotation symmetries;
- use the standard conventions for labelling and referring to the sides and angles of triangles; draw diagrams from written description
- apply the properties of angles at a point, angles at a point on a straight line, vertically opposite angles;
- understand and use alternate and corresponding angles on parallel lines;
- derive and use the sum of angles in a triangle (e.g. to deduce use the angle sum in any polygon, and to derive properties of regular polygons)

- Understanding the basic angle properties, such as the types of angles helps students with angle measurements.
- Rather than being told (or given) angle properties students should have the opportunity to discover and make sense of them practically.
- Use the Geogebra files to demonstrate the angle properties.
- Geometric problems can often be solved using various angle properties. Encourage students to look for alternative properties.
- Demonstrate how a polygon is made up from interior triangles when calculating their angles.

- When measuring angles using a 180-degree protractor, students often confuse the upper and lower scale. Understanding basic angle properties such as acute and reflex angles helps with this.
- Students often forget the definition of properties associated to angles in parallel lines.
- Exterior angles in a polygon have to travel in the same direction for the sum to be 360Â°.

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