Angle Properties

March 10, 2023

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

One thought on “Angle Properties”

Ellie Turtill says:
June 27, 2021 at 4:08 pm
Thank you very fun

Comments are closed.

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