Trigonometry recap and extension (8300 - Higher - Geometry and measures)

Topic:

Trigonometry recap and extension

Specification references (in recommended teaching order)

	Specification content	Specification notes
G20	Know the formula for Pythagoras' Theorem `a^2+b^2=c^2` Apply it to find length in right angled triangles and, where possible, general triangles in two and three dimensional figures Know and use the trigonometric ratios Apply them to find angles and lengths in right-angled triangles and, where possible, general triangles in two and three dimensional figures
G21	Know the exact values of 0°, 30° 45°, 60° and 90° Know the exact value of 0°, 30°, 45° and 60°
G6	Apply angle facts, triangle congruence, similarity and properties of quadrilaterals to conjecture and derive results about angles and sides including Pythagoras’ Theorem, use known results to obtain simple proofs
R12	Compare lengths using ratio notation; Make links to trigonometric ratios

The subject content (above) matches that set out in the Department for Education’s Mathematics GCSE subject content and assessment objectives document.

The expectation is that:

All students will develop confidence and competence with the content identified by standard type
All students will be assessed on the content identified by the standard and the underlined type; more highly attaining students will develop confidence and competence with all of this content
Only the more highly attaining students will be assessed on the content identified by bold type. The highest attaining students will develop confidence and competence with the bold content.

Teaching resources

Teaching resources - see below

99+

Downloadable resource in format. 29/08/2014

Sir Pythag's Lance

A fun presentation in which students are introduced to using Pythagoras' theorem and trigonometry in 3 dimensions.17/08/2015

3D Trigonometry Lesson

A comprehensive set of lesson resources involving Pythagoras and Trigonometry in 3D including differentiated activities, a memory poster Kagan style activity and a 'create your own question' activity. Note that grades do not relate to the new specification. You will need to register for a TES account to access this resource, this is free of charge. 17/08/2015

Nuffield Foundation - Pythagoras

A powerpoint presentation and associated worksheets in which students solve real life problems using Pythagoras' theorem, including situations where a non-right angled triangle must be split into right angled triangles.17/08/2015

Teachit Maths - Tan tree challenge

Students must use the clues provided to work out which person is looking up at which tree.02/09/2015

Transumometry

Three levels of online questions which look at finding missing lengths and angles in right angled triangles in 2D (level 1) and 3D (Level 2, suitable for Higher tier students) and Exam style questions (Level 3, more suitable for Higher tier students).17/08/2015

Trigonometry Pile Up

A challenging puzzle in which students must find missing sides and angles in a diagram of piled up right angled triangles.02/09/2015

3D Trigonometry Lesson

Exact trig vlues

A gapped worksheet which allows calculation of the exact trigonometric ratios for certain angles for sine, cosine and tangent .02/09/2015

Finding Exact Trig Values - Discovery Learning

Three helpful worksheets which support the derivation of the exact values for sin, cos and tan of key angles. You will need to register for a TES account to access this resource, this is free of charge. 17/08/2015

Nuffield Foundation - Pythagoras

Trigonometry - Using exact values

A worksheet which requires the use of exact values for trigonometric ratios to find missing side lengths - the answers produce a coded message.02/09/2015

Teachit Maths - GCSE trigonometry revision cards

Sheets of questions and facts which should be photocopied back-to-back to make revision cards.02/09/2015

Trigonometry - Homework Sheet and Mark Scheme

Downloadable resource in doc format. 09/03/2010

112 KB 102 KB