Find all of the angles on the geometrical diagrams.
Understand and use the relationship between parallel lines and alternate and corresponding angles.
Apply the properties of angles at a point, angles on a straight line and vertically opposite angles.
Angles in a Triangle
A self marking exercise involving calculating the unknown angle in a triangle.
Circle Theorem Pairs
A pairs game based around ten theorems about the angles made with chords, radii and tangents of circles.
Circle Theorems Exercise
Show that you understand and can apply the circle theorems with this self marking exercise.
Estimate the size of the given acute angles in degrees.
Measure the size of the given angles to within two degrees of their actual value.
An online version of the Logo programming language with 30 mathematical challenges.
Develop the skills to construct and interpret pie charts in this self-marking set of exercises.
A mixture of problems related to calculating the interior and exterior angles of polygons.
Proof of Circle Theorems
Arrange the stages of the proofs for the standard circle theorems in the correct order.
Measure line segments and angles in geometric figures, including interpreting scale drawings.
An online game for one or two players requiring an ability to estimate angles.
Drag the shapes onto the canvas to create tessellating patterns and investigate the laws of tessellations.
Angle Properties Song
A song about the angles made with parallel lines.
Ruler and Compass Construction
A demonstration of standard ruler and compass constructions
The 50 Cent Riddle
A 50 cent coin has 12 equal sides. If you place two coins next to each other on a table, what is the angle formed between the two coins?
Angle Theorem Kim's Game
A memory game to be projected to help the whole class revise the circle angle theorems.
Diagrams of the angle theorems with interactive examples.
Diagrams of the circle theorems to be projected onto a white board as an effective visual aid.
Can you make a kite shape from a single A4 size sheet of paper using only three folds?
A visual aid designed to help pupils estimate three figure bearings.
Air Traffic Control
Work out which aircraft are in danger of colliding from their positions and direction of travel. An exercise in understanding bearings.
Estimate the sizes of each of the angles then add your estimates together.
An exercise in estimating what the sectors of a pie chart represent.
Work out which sectors fit together to make complete circles. Knowledge of the sum of the angles at a point will help find more than one correct solution to this puzzle.
Find a trapezium, a triangle and a quadrilateral where all of the angles are square numbers.
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Teachers might find the complete Angles Topic List useful.
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.