Tarsia - Sectors and Arc Lengths (degrees)

Tarsia - Sectors and Arc Lengths (degrees)

A brilliant Tarsia activity by Gill Hillitt on Sectors and Arc Lengths in degrees. These type of activities can be used to consolidate understanding of a given topic, and foster positive group work and co-operative learning. For more ideas on how to use these types of activities (including twists!) and to download the latest version of the wonderful free software to open this resource (and create your own), just click on the web-link. If you have any comments or feedback for Gill, please share them below.
MrBartonMaths
sine rule problem

sine rule problem

A complex problem requiring a fair bit of reasoning. Good for the more able who like a challenge or for a group work challenge.
George Stewart
NRICH - Tangled Trig Graphs

NRICH - Tangled Trig Graphs

Trigonometric functions, Transforming Graphs Key Stage: 5 ★ Can you identify what transformations convert the red line into the other lines. What are their equations? This problem provides a context to explore graphs of trigonometric functions and look at the effects on the graph when the equation is changed. Rather than asking learners to sketch the graphs from the equations, they have to figure out the equation from the graph. The problem gives the opportunity to investigate reflections, stretches and translations of curves, and the corresponding effects on equations. This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions. The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.
nrich_maths
Autograph Tutorial - Core 2 Trigonometry

Autograph Tutorial - Core 2 Trigonometry

Maths Tutorial. PC software for teaching calculus, coordinate geometry, statistics and probability. A special video from Autograph creator Douglas Butler. Looking at radian measure, some trig formulae, and fitting some data.
MrBartonMaths
Autograph Video 39 - Extras - Trigonometry - GCSE

Autograph Video 39 - Extras - Trigonometry - GCSE

In this video tutorial we take a look at the third of Autograph's wonderful Extras pages - Trigonometry. Ideal for GCSE and A Level. The 39th in Mr Barton's Autograph Video tutorial series.Here we see where the graphs each of the trigonometric ratios comes from using the unit circle, and observe the effect on the graphs where we manipulate some constants. Below the video you will find an option to download it and play it on a larger screen, or by clicking on the web-link you can see all the videos in this series.
MrBartonMaths
Autograph Tutorial: Core 2 Trigonometry

Autograph Tutorial: Core 2 Trigonometry

Using ICT in MathsMaths tutorial: Autograph - a software for teaching calculus, coordinate geometry, statistics and probability. A special video from Autograph creator Douglas Butler. Using Autograph's standard level (degrees), a look at the basic trig functions and some transformations.
MrBartonMaths
NRICH - Three By One

NRICH - Three By One

Angles Key Stage: 5 ★ Can you show that the angle identity given is true? What different ways can you find to solve it? In this one problem you meet many important aspects of mathematics. It shows the value of not being content to find one solution, but of asking yourself "could I solve this another way?" It is very satisfying to feel you have somehow got to the very essence of a mathematical idea by looking at it in the right way. Also this problem provides a good example of how you can generalise from a result that is really a simple case of a much more general result. This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions. The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.
nrich_maths
Modelling Music

Modelling Music

This activity helps students see the connection between mathematics and music. Pure tone sound appears as a trigonometric function. Here students will see the shape of music thanks to a sound recording piece of software called Audacity. There is no need to install the software, as short videos and images are ready to use. Students would be expected to have seen the graph of a sine curve before and have some understanding of transforming graphs.
froggymaths
NRICH - Hexy-metry

NRICH - Hexy-metry

Trigonometry - Cosine Rule, Transformations - Rotation Key Stage: 4 ★★★ Can you find the radius of the circle that contains this hexagon? This problem requires the solver to reason geometrically and make use of symmetry. By re-presenting the information in a different way, for example by adding additional lines (a useful technique in geometrical problems) more structure can be revealed. It is an interesting idea that adding something, and therefore apparently making it more complex, can sometimes make a problem more accessible. Then of course there is an opportunity to use the cosine rule in a non-standard context. This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions. The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.
nrich_maths
NRICH - Bendy Quad

NRICH - Bendy Quad

Trigonometry - Sine and cosine rules Key Stage: 4 ★★★ Four rods are arranged to form a convex quadrilateral and hinged at the vertices. What possible shapes can the quadrilateral take? This problem involves the interpretation of a very simple concrete structure, a linkage of 4 rods, and the angles that the quadrilateral formed by the rods could make. Experimental evidence will offer ideas which then need justification and proof by forming convincing arguments. The solution uses the cosine and sine rules. To find the constraints on the angles in the general case requires an argument using inequalities. This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions. The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.
nrich_maths