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In this unit of work students are introduced to a range of angle properties including angles on a straight line, in a triangle and vertically opposite. Students are guided to discover each of the angle properties for themselves so they can link them together later on.

This unit takes place in Term 5 of Year 7 and is the prerequisite unit for angles in parallel lines and exterior angles in polygons which students cover in Year 8.

- 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.

- 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 0°.
- A right-angle is termed perpendicular and is 90°.
- 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°.

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

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

July 6, 2019

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June 30, 2019

The method of how to solve quadratics by factorising is now part of the foundational knowledge students aiming for higher exam grades are expected to have. Here is an example of such a question. Solve x2 + 7x – 18 = 0 In my experience of teaching and marking exam papers students often struggle with […]

June 24, 2019

When learning how to write 3-part ratios students need to understand how ratios can be made equivalent. The start of the lesson reminds students by asking which of six ratios is the odd one out. This is presented to the class as they come into the lesson. Writing Equivalent Ratios A few students immediately go […]