 # Angles

## Activities

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 Points 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.

Angles Mixed Find the unknown angles by using the basic angle theorems.

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.

Estimating Angles Estimate the size of the given acute angles in degrees.

Geometry Toolbox Create your own dynamic geometrical diagrams using this truly amazing tool from GeoGebra.

Measuring Angles Measure the size of the given angles to within two degrees of their actual value.

Online Logo An online version of the Logo programming language with 30 mathematical challenges.

Pie Charts Develop the skills to construct and interpret pie charts in this self-marking set of exercises.

Polygon Angles 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.

Scale Drawings Measure line segments and angles in geometric figures, including interpreting scale drawings.

Snooker Angles An online game for one or two players requiring an ability to estimate angles.

## Investigations

Tessellations Drag the shapes onto the canvas to create tessellating patterns then try the tessellations quiz.

## Videos

This is the main Transum help video on Angles.

Angle Points Video See a demonstration of angles in a full turn around a point, angles together on a straight line and vertically opposite angles.

Angle Properties Song 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.

Angles in Depth Craig Barton and Jo Morgan help you and your class understand angles through the means of kung fu.

Measuring Angles Video Learn how to use a protractor to measure angles of any size. This video is to help you do the online, self-marking exercise.

Polygon Angles Video A concise reminder about angles, both interior and exterior, in regular and irregular polygons.

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?

## Visual Aids

Angle Theorem Kim's Game A memory game to be projected to help the whole class revise the circle angle theorems.

Angle Theorems Diagrams of the angle theorems with interactive examples.

Circle Theorems Diagrams of the circle theorems to be projected onto a white board as an effective visual aid.

Geometry Toolbox Create your own dynamic geometrical diagrams using this truly amazing tool from GeoGebra.

Kite Maths Can you make a kite shape from a single A4 size sheet of paper using only three folds?

Plane Bearings A visual aid designed to help pupils estimate three figure bearings.

Polygon Angles Animation Barbara Bug walks around a regular hexagon turning through each of the exterior angles as she goes.

## Starters Air Traffic Control
Work out which aircraft are in danger of colliding from their positions and direction of travel. An exercise in understanding bearings. Angle Estimates
Estimate the sizes of each of the angles then add your estimates together. Pie Chart
An exercise in estimating what the sectors of a pie chart represent. Sectors
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. Square Angles
Find a trapezium, a triangle and a quadrilateral where all of the angles are square numbers.

30 items are currently in this category.

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.  For All: