Module 8 Angles
Teacher Guide Lesson Resources Lesson Plans Exam Questions Probing Questions

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Tutorials and homework tasks from mymaths in the blue columns - password needed to access these resources

Video Tutorials in the green columns - these are online video tutorials from Hegarty Maths requiring free registration and Walton Maths

Video Tutorials, Exam Questions and Answers from Mr Barton Maths in the orange columns

 

F

S3.4

1

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

 

 

 

Position and Turning

Lesson

Homework

Video

 

 

 

 

F

S4.4

2

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

 

 

 

Measuring Angles

Lesson

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Labelling Angles

 

 

Video

 

 

 

 

F

S4.5

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 right-angled triangles.

 

 

 

Angles in Triangles

Lesson

Homework

 

 

 

 

 

 

 

 

Angle Reasoning

Lesson

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Video

Exam Q

Answers

F

S4.9

4

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

 

 

 

 

 

 

 

 

 

 

 

F

S5.2

5

Use bearings to specify direction.

 

 

 

Bearings

Lesson

Homework

Video 1

 

Video

Exam Q

Answers

 

 

 

 

 

 

Video 2

 

 

 

 

F

S5.3

6

Classify quadrilaterals by their geometric properties.

 

 

 

Parallel and Perpendicular Lines in Quadrilaterals

Lesson

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F

S5.7

7

Understand that rotations are specified by a centre and an angle; complete the rotation symmetry of 2-D shapes; measure the angle of rotation using right angles and simple fractions of a turn. Reflect in 45 degree lines

 

 

 

 

 

 

 

 

 

 

 

F

S6.1

8

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

 

 

Video

 

Video

Exam Q

Answers

 

 

 

Angles in Parallel Lines

Lesson

Homework

 

Video

Exam Q

Answers

 

 

 

Interior Exterior Angles

Lesson

Homework

Video

 

 

 

 

 

 

 

Sum of Angles in a Polygon

Lesson

Homework

 

Video

Exam Q

Answers

F

S6.2

9

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.

 

 

 

 

 

 

 

 

 

 

 

H (New F)

S8.2

10

Understand, recall and use trigonometrical relationships in right-angled 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

Lesson

Homework

Video

Video 2

 

 

 

 

 

 

Trig Missing Sides

Lesson

Homework

Video 2

Video 3

 

 

 

 

 

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

Lesson

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Trig Angles of Elevation

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Homework

 

 

 

 

H

SB.3

11

Solve Multi-Stage Trigonometric Problems

 

 

 

Mixed Trig Problems

 

 

 

 

Video

Exam Q

Answers

H

SA.8

12

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

 

 

 

Circle Theorems

Lesson

Homework

Video

 

Video

Exam Q

Answers

 

 

 

Intersecting Chords

Lesson

Homework

 

 

H

SZ.1

13

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

 

 

 

 

 

 

 

 

 

 

 

H

SZ.3

14

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

 

 

 

Sine Rule

Lesson

Homework

Video

Video

Video

Exam Q

Answers

 

 

 

Cosine Rule Sides

Lesson

Homework

Video

 

 

 

Cosine Rule Angles

Lesson

Homework

 

 

 

 

3D Trigonometry

Lesson

Homework