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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

January 1, 2021

Problem solving lesson on two-way tables and frequency trees.

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Three typical exam questions to revise on plotting quadratic, cubic and reciprocal graphs.

December 2, 2020

Linking cumulative frequency graphs to ratio, percentages and financial mathematics.