Module 8  Angles  
Teacher Guide  Lesson Resources TES Picks 1 Picks 2  Lesson Plans  Exam Questions  Probing Questions 
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Module  Grade  Topic 
Description 

8 
1 
1 
Describe position and movement. Understand and use the compass directions N, S, E, W, NE, NW, SE, SW. 




Position and Turning 





8 
2 
2 
Measure and draw angles to the nearest degree; distinguish between acute, obtuse, reflex and right angles. 




Measuring Angles 









Labelling Angles 







8 
2 
3 
Recall and use properties of angles at a point, angles on a straight line, perpendicular lines and opposite angles at a vertex; use angle properties of equilateral, isosceles and rightangled triangles. 




Angles in Triangles 









Angle Reasoning 



8 
2 
4 
Recognise regular polygons (pentagon, hexagon, octagon); recognise the terms circle, centre, radius, diameter and circumference and follow instructions to construct inscribed regular polygons. 












8 
3 
5 
Use bearings to specify direction. 




Bearings 













8 
3 
6 
Classify quadrilaterals by their geometric properties. 




Parallel and Perpendicular Lines in Quadrilaterals 






8 
4 
7 
Use parallel lines, alternate angles and corresponding angles; calculate and use the sums of the interior and exterior angles of quadrilaterals, pentagons and hexagons. Solve problems using properties of angles, of parallel and intersecting lines, and of triangles and other polygons, justifying inferences and explaining reasoning with diagrams and text. Derive the sum of angles in a triangle. 




Angles in Triangles and Quadrilaterals 







Angles in Parallel Lines 





Interior Exterior Angles 








Sum of Angles in a Polygon 


8 
4 
8 
Solve angle problems involving intersecting and parallel lines, and polygons; understand that the tangent at any point on a circle is perpendicular to the radius at that point. 












8 
5 
9 
Understand, recall and use trigonometrical relationships in rightangled triangles and use these to solve problems, including those involving bearings and Pythagoras. Know the exact values of sin, cos and tan at key angles (0, 30, 45, 60, 90 degrees). 




Trig Missing Angles 







Trig Missing Sides 






Special Angles (0, 30, 45, 60 and 90 degrees) 








Trig Angles of Elevation 





8 
7 
10 
Solve MultiStage Trigonometric Problems 




Mixed Trig Problems 





8 
8 
11 
Using the Circle Theorems and knowing the proofs [INCLUDING alternate segment theorem, and problems involving tangents meeting] 




Circle Theorems 





Intersecting Chords 



8 
9 
12 
Use trigonometrical relationships in 3D contexts, including finding the angles between a line and a plane 












8 
9 
13 
Use the sine and cosine rules to solve 2D and 3D problems. Formula not given on the Exam Paper. 




Sine Rule 




Cosine Rule Sides 




Cosine Rule Angles 





3D Trigonometry 




