A complete lesson on using SOHCAHTOA and Pythagoras’ theorem with problems in three dimensions.
A set of recap questions on basic SOHCAHTOA and Pythagoras.
Examples and questions to dscuss, on visualising distances and angles within cuboids and triangular prisms, and understanding the wording of exam questions on this topic.
Examples and quick questions for pupils to try, on finding the angle of a space diagonal.
A worksheet, in three sections (I print this, including the starter, two per page, two sided so that you have a single page handout), with a progression in difficulty. Starts with finding the space diagonal of a cuboid, where the triangle pupils will need to use has been drawn already. The second section looks at angles in a triangular prism, and pupils will need to draw the relevant triangles themselves. The third section has exam-style questions, where pupils will need to identify the correct angle by interpreting the wording of the question. (eg “find the angle between the diagonal AE and the plane ABCD”).
An extension task looking at the great pyramid of Giza.
A final question to add a bit more depth, looking at the most steep and least steep angles up a ramp.
Printable worksheets and worked answers included.
Please review if you buy as any feedback is appreciated!