Trigonometry Bearings and Pythagoras Theorem Growing Bundle

Full treatment for GCSE/IGCSE, including prerequisites. Each module consists of the main PowerPoint presentation, plus two black/white pdf files; one contains all the exercises; the other contains all the answers. Ideal for rapid assessment as sections are named and can be visited in any particular order. Written with the study cycle in mind and providing plenty of practice for students to give an opinion/response before you reveal the answer. Within the presentations questions can be answered in any order even skipped altogether.

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Contained in the bundle:

Pythagoras Theorem presentation

1. finding missing lengths
2. finding whether a triangle is right-angled
3. animated geometric proof of the theorem
4. Pythagorean Triples
5. Surds - simplifying and exact answers
6. Exercises to practice all of the above

Measuring and Estimating Angles

1. Reading and using a protractor
2. Drawing and approximating angles of 30, 45 and 60 degrees
3. Vocabulary of acute, obtuse and reflex angles
4. Exercises to practice all of the above

Identifying Right-angled Triangles Within Other Shapes

1. Vocabulary - apex, base, height, perpendicular, bisects, congruent
2. Splitting triangles through their height
3. Drawing the kite, rhombus and square to highlight their symmetries and reveal right-angled triangles.
4. Rotational symetries demo of kite, rhombus and square

Pythagoras' Theorem and Geometry Questions

1. 5 questions that depend on geometry facts
2. Contains much of the 'ientifying right-angled triangles' presentation mainly as a bonus.

Trigonometry

1. Labelling sides and stating trig ratios -
2. 2 investigations of trig ratios in different triangles -
3. choosing the appropriate ratio -
4. practice using each ratio to find missing sides and missing angles –
5. the special ratios of 30°, 45° and 60° angles -
6. graphs of trig functions and their characteristics -
7. treatment of sin A = cos (90 – A), sin A = sin (180 – A), cos A = -cos (180 - A), and tan A = sinA/cosA.

The Sine Rule (Law of Sines)

1. Vocabulary –supplementary, complementary.
2. Graph of sin x highlighting acute and obtuse angles.
3. Relationship sin(180 – x) = sin x
4. The sine rule and setting up the initial
5. Recognise when the sine rule can/can’t be used
6. Cases where there are either two or no solutions
7. Area of a triangle using formula 1/2bc sinA

The Cosine Rule (Law of Cosines)

1. Graph of cos x highlighting acute and obtuse angles relationship.
2. Same for sin x.
3. Relationship cos(180 – x) = - cos x
4. The cosine rule and setting up the initial equation
5. Recognise when the cosine rule can/can’t be used
6. Cases where there are either two or no solutions
7. Questions requiring use of both Sine Rule and Cosine Rules