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- Understand and use basic angles rules and notation (review)
- Investigate angles between parallel lines and the transversal
- Identify and calculate with alternate and corresponding angles
- Identify and calculate with co-interior, alternate and corresponding angles
- Solve complex problems with parallel line angles
- Construct triangles and special quadrilaterals (review)
- Investigate the properties of special quadrilaterals
- Identify and calculate with sides and angles in special quadrilaterals
- Understand and use the sum of exterior angles of any polygon
- Calculate and use the sum of the interior angles in any polygon
- Calculate missing interior angles in regular polygons

For higher-attaining pupils:

- Understand and use the properties of diagonals of quadrilaterals
- Prove simple geometric facts
- Construct an angle bisector
- Construct a perpendicular bisector of a line segment

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Here are some related resources in alphabetical order. Some may only be appropriate for high-attaining learners while others will be useful for those in need of support. Click anywhere in the grey area to access the resource.

- Angle Chase Find all of the angles on the geometrical diagrams.
- Angle Parallels Understand and use the relationship between parallel lines and alternate and corresponding angles.
- Angle Theorems Diagrams of the angle theorems with interactive examples.
- Angles in a Triangle A self marking exercise involving calculating the unknown angle in a triangle.
- Angles in a Triangle Video A reminder of how to use the fact that the angles in a triangle sum to 180 degrees to find the size of unmarked angles in triangular diagrams.
- Polybragging The Transum version of the Top Trumps game played online with the properties of polygons.
- Polygon Angles A mixture of problems related to calculating the interior and exterior angles of polygons.
- Polygon Angles Animation Barbara Bug walks around a regular hexagon turning through each of the exterior angles as she goes.
- Polygon Angles Video A concise reminder about angles, both interior and exterior, in regular and irregular polygons.

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

- Angles Pupils should understand that angles represent an amount of turning and be able to estimate the size of angle. When constructing models and drawing pupils should be able to measure and draw angles to the nearest degree and use appropriate language associated with angles. Pupils should know the angle sums of polygons and that of angles at a point and on a straight line. They will learn about angles made in circles by chords, radii and tangents and recognise the relationships between them. Pupils will work with angles using trigonometry, transformations and bearings. In exams pupils are often instructed that while non-exact answers should be given to three significant figures, angle answers should be given to one decimal place.
- Bearings A bearing is a description of a direction. It is the number of degrees measured in a clockwise direction from north as seen from above. Convention, probably born out of the need to be quite clear when saying a bearing over a crackly aircraft radio or storm at sea, three figures are given for each bearing. So 90 degrees would be expressed as 090 degrees. The four main directions are known as the cardinal points. These are north (360°), east (090°), south (180°) and west (270°). The directions in between those are known as the half cardinal points and can be expressed as north-east (045°), south-east (135°), south-west (225°) and north west (315°). The study of bearings in Mathematics provides a practical, real-life application of angles and geometry. It can provide a need for numerical calculations, scale drawing and estimation.

Here are some suggestions for whole-class, projectable resources which can be used at the beginnings of each lesson in this block.

Work out what the calculations might be from the letter clues.

Which of the numbers from one to twenty can you make with the digits 4, 5, 6 and 7?

Begin with one, double it, double it again and so on. How many numbers in this sequence can you write down before the register has been called?

A question about the profit made when buying and selling a guitar.

Write down as many mathematical words as possible that begin with the letter M.

Six calculations to complete without a calculator.

Work out how many squares are there altogether in the given pattern then tackle the chess board.

A small crossword puzzle containing mathematical words.

Arrange the numbers 1 to 9 in a 3 by 3 grid to form a magic square.

Some of the Starters above are to reinforce concepts learnt, others are to introduce new ideas while others are on unrelated topics designed for retrieval practice or and opportunity to develop problem-solving skills.