# Angle Geometry

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

### Mr Mathematics Blog

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#### 3D Vectors – Year 2

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#### Parametric Equations

Edexcel A-Level Mathematics Year 2: Pure 2: Parametric Equations