Deduction
Term 2 starting in week 7 :: Estimated time: 2 weeks
- Angles in parallel lines (review)
- Solving angles problems (using chains of reasoning)
- Angles problems with algebra
- Conjectures with angles
- Conjectures with shapes
For higher-attaining pupils:
- Link constructions and geometrical reasoning
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Activities for pupils
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 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 Points Apply the properties of angles at a point, angles on a straight line and vertically opposite angles.
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 a Triangle A self marking exercise involving calculating the unknown angle in a triangle.
Angle Parallels Understand and use the relationship between parallel lines and alternate and corresponding angles.
Angle Chase Find all of the angles on the geometrical diagrams.
Angle Theorems Diagrams of the angle theorems with interactive examples.
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.
Polygon Angles A mixture of problems related to calculating the interior and exterior angles of polygons.
Polybragging The Transum version of the Top Trumps game played online with the properties of polygons.
Angles Mixed Find the unknown angles by using the basic angle theorems.
Geometry Toolbox Create your own dynamic geometrical diagrams using this truly amazing tool from GeoGebra.
Polygon Hunting Find all the polygons that can be drawn by joining dots on this seven dot grid.
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.
Lesson Starters
Here are some suggestions for whole-class, projectable resources which can be used at the beginnings of each lesson in this block.
1st Lesson
How Many Rectangles?
How many rectangles can you find in this pattern? Can you come up with a systematic method for counting them all?
2nd Lesson
Missing Square Puzzle
The missing square puzzle is an optical illusion used to help students reason about geometrical figures.
3rd Lesson
Anagrams
Can you un-jumble these mathematical words?
4th Lesson
Bizarre Triangle
By how much would the area of this triangle increase if its base was enlarged to 8cm?
5th Lesson
How Do You Do?
A little lateral thinking will help you solve this number puzzle.
6th Lesson
Refreshing Revision
It is called Refreshing Revision because every time you refresh the page you get different revision questions.
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.
