# Angle Properties

Scheme of work: Key Stage 3: Year 7: Term 5: Angle Properties

#### 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 total 180°
• other multiples of 90°
• recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles.

#### Key Concepts

• Protractors have two scales measuring 0° to 180°.  One scale goes clockwise, the other anti-clockwise.  Students should always start measuring from the line that goes through zero.
• A right-angle is termed perpendicular and is 90Â°.
• A straight line is 180°.
• Angles about a point have a total of 360°.
• Vertically opposite angles are equal to each other.
• Angles in a triangle have a sum of 180°.
• A quadrilateral is made up of two adjoining triangles and therefore has a sum of 360°.

#### Working Mathematically

• Develop fluency
• Use language and properties precisely to analyse 2-D shapes
• Select and use appropriate calculation strategies to solve increasingly complex problems
• Reason mathematically
• Make and test conjectures about patterns and relationships; look for proofs or counter-examples
• Begin to reason deductively in geometry, including using geometrical constructions.
• Solve problems
• Develop their mathematical knowledge, in part through solving problems and evaluating the outcomes, including multi-step problems

#### Subject Content

• Shape
• Draw and measure line segments and angles in geometric figures, including interpreting scale drawings.
• Apply the properties of angles at a point, angles at a point on a straight line, vertically opposite angles
• Derive and use the sum of angles in a triangle and use it to deduce the angle sum in any polygon

## Angle Properties Resources

### Mr Mathematics Blog

#### Sequences and Series

Edexcel A-Level Mathematics Year 2: Pure 2: Algebraic Methods

#### T- Formulae

Scheme of work: A-Level Further Mathematics: Further Pure 1: The t – formulae

#### Regression, Correlation and Hypothesis Testing

A-Level Scheme of work: Edexcel A-Level Mathematics Year 2: Statistics: Regression, Correlation and Hypothesis Testing