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A-level Maths and Further Maths
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A-level (inc AS)
Trigonometry and circular measure
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Topic
Trigonometry and circular measure
Addition formulae
Reciprocal and inverse trig functions
Sine, Cosine rule and Radians
Small angle approximations
Solving trigonometric equations
Trigonometric graphs
Trigonometric identites
Trigonometric proofs
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Addition formulae
4
Worksheets for practising the addition formulae.
18/07/2017
Alternative form
Worksheets for expressions in the form R sin(x+a) and R cos(x+a).
18/07/2017
Applying small angle approximations
1
Video explaining how to use small angle approximations.
18/07/2017
Areas of triangles
3
Fluency practice for finding the area of triangles using sine.
18/07/2017
Calculating arcs and areas of sectors of circles
Lesson plan and resources for working with sectors in radians.
18/07/2017
Can you find... (trigonometry edition)
Rich task looking at transformations of trigonometric curves.
18/07/2017
Equation or identity?
1
Trigonometric proof activity in which students classify identities and equations.
18/07/2017
Exact Value Trigonometry
A worksheet requiring students to use their understanding of exact values.
18/07/2017
Going round in circles
Rich task for discovering the reciprocal Pythagorean identities.
18/07/2017
Graphs of inverse trigonometric functions
Activity in which students plot the inverse trigonometric graphs and consider their features.
18/07/2017
Have a sine
Rich extension activity exploring trigonometric ratios and identities.
18/07/2017
Maxmimums and minimums in alternative form
Worksheet looking at graphs of R sin(x+a) and R cos(x+a) to determine maximums and minimums
18/07/2017
Muddled trig
1
A matching activity involve trigonometric graphs.
18/07/2017
Proof of the addition formula
Scaffolded worksheet allowing an accessible proof of the addition and double angle formulae.
18/07/2017
Proving the half angle formulae
Rich task using diagrams to construct a proof.
18/07/2017
Radians, arcs and sectors
Worksheets for calculating areas and lengths using radians.
18/07/2017
Reciprocal trig functions worksheets
Worksheets on reciprocal trigonometric functions including identity proofs.
18/07/2017
Reciprocal Trig Functions Worksheets
Worksheets on reciprocal trigonometric functions including identity proofs.
18/07/2017
Reciprocal trig functions worksheets
A series of worksheets on the reciprocal trigonometric functions, including an activity looking at the features of their graphs.
18/07/2017
Reciprocal trigonometric functions
Solving equations involving reciprocal trigonometric identities.
18/07/2017
Sample chapter: The small angle approximations
Textbook chapter with explanations and exercises for small angle approximations.
18/07/2017
Sector spirals
Rich task which provides an opportunity for students to practise calculating arc lengths and sector areas.
18/07/2017
Slices of pi
Rich task looking at trigonometric inequalities.
18/07/2017
Small angle approximations
Video explaining how to derive the small angle approximations.
18/07/2017
Testing the small angle approximation
1
Activities for determining the limits within which the small angle approximation holds.
18/07/2017
Trig equations worksheet
2
Simple worksheet of trigonometric equations involving identities.
18/07/2017
Trig equations worksheet
1
Simple worksheet of trigonometric equations involving identities.
18/07/2017
Trig equations worksheets
2
A set of worksheets and notes for solving trigonometric equations. Includes radians.
18/07/2017
Trig tables
Fluency exercise exploring values of trigonometric and inverse trigonometric functions.
18/07/2017
Trigonometric equations
Notes and practice questions for solving trigonometric equations.
18/07/2017
Trigonometric Game: Guess Who Curves
A game for students to develop fluency in trigonometric graph transformations. Instructions are included.
18/07/2017
Trigonometric identities worksheets
1
Proof and practice for trigonometric identities.
18/07/2017
Trigonometric identities worksheets
1
Proof and practice for trigonometric identities.
18/07/2017
What do functions do for tiny x?
Rich task exploring small values of x.
18/07/2017
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