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**Scheme of work: GCSE Higher: **Year 9: Term 4: Angle Geometry

- 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°

- 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)
- Measure line segments and angles in geometric figures, including interpreting maps and scale drawings and use of bearings

- Rather than being told (or given), angle properties, students should have the opportunity to discover and make sense of them practically.
- Geometric problems can often be solved using various angle properties. Encourage students to look for and apply alternative properties.
- Demonstrate how a polygon is made up from interior triangles when calculating their angles.
- Bearings always go clockwise from North and have three digits. North lines are parallel.

- Students often forget the definition of properties associated with angles in parallel lines.
- Exterior angles in a polygon have to travel in the same direction for the sum to be 360°.

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