Angle Geometry

March 12, 2023

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

Prerequisite Knowledge

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;

Success Criteria

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

Key Concepts

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.

Common Misconceptions

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°.

Angle Geometry Resources

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