Trigonometry

The short film shows how Trigonometry is used by a hiker to solve height and distance problems.

The video clip shows the scene of a hiker who applies Trigonometry to solve height and distance problems. At the initial stage of the video it shows the 3 Trig ratios and ways of remembering and applying them. The first part of the problem calculates the height travelled on the walk. The second part of the problem uses bearings to form a right-angled triangle and then calculating the sides of the triangle; and hence the total distance travelled.

Trigonometry is a branch of mathematics that studies relationships involving lengths and angles of triangles.

Teacher Notes

The video clip can be used in a variety of ways. To investigate solutions in construction; calculating angle and lengths generated by the structure. The video can be used as a prolog to groups of learners working on a specific skill such as finding lengths and angles using the video as guidance, and then moving onto another section where you calculate 2-D application of trigonometry and then moving onto 3-D Trigonometry followed by a feedback questionnaire detailing what went well and what would work better.

Pupils could be placed into groups of no more than 4 and sent around school with specific projects or 'problems' to solve around school. The groups could then converge and feed back to the rest of the students about their results and their problem solving techniques.

Curriculum Notes

This clip will be relevant for teaching Maths. This topic appears in OCR, Edexcel, AQA, WJEC KS4/GCSE in England and Wales, CCEA GCSE in Northern Ireland and SQA National 5 and Higher in Scotland.