Maths KS3 / GCSE: Trigonometry
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 traveled 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 traveled.
Trigonometry is a branch of mathematics that studies relationships involving lengths and angles of triangles.
This is from the series: Real Life Maths.
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.
This clip will be relevant for teaching Maths at KS3/GCSE in England Wales and Northern Ireland. Also at National 4, 5 and Higher in Scotland.
This topic appears in OCR, Edexcel, AQA, WJEC in England and Wales, CCEA GCSE in Northern Ireland and SQA in Scotland.