Module 5 Higher Angles and Bearings

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1
Basic angles facts including triangles and parallel lines
Starter - recap basic angle facts including angles in a triangle
Main - use the following powerpoint to recap angles in parallel lines - pupils to  put definitions of corresponding, alteranate and interior angles in their exercise books - answer questions as a class then practise from the textbook
Angles between parallels CB
Brown Text Ex 27.4 page 322





2
Angles in quadrilaterals
Starter - use the following powerpoint to recap properties of quadrilaterals -
Quadrilaterals Powerpoint CB
Main - pupils practise finding angles in special quadrilaterals
Pupils will need to recall that angles on a straight line add up to 180
 Brown Text Ex 30.1 page 354 Q10-15
         
3
Angles in polygons
Starter - use the following powerpoint to recap the angle sum of any polyon - Pupils then find interior angles in regular polygons and irregular polygons in their books
Interior Angles Powerpoint CB
Main - use mymaths to demonstrate that the exterior angles in any poygon add up to 360 and how this can be used to find interior and exterior angles in regular polygons.
Exterior angles Mymaths
Pupils to complete exercise on angles in polygons






Brown Text Ex 31.2 pg 365





3
Circle theorems
Starter - use the following powerpoint to recap parts of a circle and introduce 3 theorems, working through problems as a class
The angle subtended at the centre of a circle is twice as big as the angle subtended at the circumference of the circle
The angle in a semi circle is 90 degrees
Angles subtended by an arc/chord in the same segment are equal
Circle Theorems 1 Powerpoint CB
Main - introduce pupils to a 4th theorem
Opposite angles in a quadrilateral add up to 180 degrees







Brown Text Ex 32.1 Q1-3





4
More Circle Theorems
Starter - use the following powerpoint to introduce the final 3 theorems, working through problems as a class
The angle between a tangent and a radius is 90 degrees at the point of contact
The alternate segment theorem
Two tangents drawn from an external point P are equal in length
Circle Theorems 2 Powerpoint CB
Proof of the Circle Theorems
Use the following powerpoint as extension work for set 1
Circle Theorems Proof Powerpoint CB







Brown Text Ex 32.2





5
Bearings
Starter - use the following powerpoint to introduce bearings, estimate measure and draw bearings
Bearings Powerpoint CB
Main - pupils practise questions



Brown Text Ex 2.7 page 327





6
Scale Drawings
Starter - go through an example using easiteach link to demonstrate how to use bearings in scale drawings
Scale Drawings Easiteach CB
Main - pupils practise questions


Brown Text Ex 27.8 page 329 Q7 - 12