Pythagoras theorem and basic trigonometry (8300 - Higher - Geometry and measures)

Topic:

Pythagoras theorem and basic trigonometry

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 angles and lengths in right angled triangles and, where possible, general triangles in two and three dimensional figures Know and use the trigonometric ratios
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 and 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

CIMT Trigonometry Activities

A range of interesting resources involving trigonometry including the finding of exact trigonometric ratios for common angles and real life applications such as wheelchair ramps.04/08/2015

Maths is Fun - Finding angles in right angled triangle

An introduction to how to find angles in right angled triangles, followed by ten online multiple choice questions.02/09/2015

Maths is Fun - Finding sides in right angled triangles

An introduction to how to find sides in right angled triangles, followed by ten online multiple choice questions.02/09/2015

Maths is Fun: Pythagoras

An introduction to the use of Pythagoras' Theorem followed by ten online questions.04/08/2015

NRICH Making Maths: Clinometer

A practical activity involving making a clinometer to help measure the height of tall objects such as trees.04/08/2015

Trigonometry and Pythagoras Post It Challenge

A fun classroom activity in which students solve a variety of problems using Pythagoras' Theorem and trigonometry. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015

Trigonometry Matching Activity

In this activity students must match a triangle, working and answer card - each triangle also has an incorrect working card to ensure students cannot just choose the correct working from the numbers involved. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015

Nuffield Foundation: Pythagoras' Theorem

Students use Pythagoras' Theorem to solve problems including those set in context.04/08/2015

Pythagoras - Lesson plan 1

Downloadable resource in doc format. 26/09/2010

181 KB