This resource consists of a short lesson plus two full lessons. Between the three lessons, all the types of harder questions involving indices are covered. For each lesson, there is a presentation and worksheet. The presentations include starters, examples and worked solutions to the questions on the worksheets. ‘Writing number as power of another’ covers two types of questions: (a) writing one number as a power of another and (b) finding the base which when raised to a given index equals a given value. ‘Solving Equations by Equating Indices’ looks at questions where the unknown is part of the indices. The lesson is structured to cover (a) equations where all the bases arrre the same, (b) the bases are all integer powers of one of them and © where the bases are not integer powers of any of them. ‘Simultaneous Equations with Powers’ looks at questions where (a) the two unknowns are in the indices of the two simultaneous equations and (b) the two unknown are the bases.

This resource is for KS4 students taking the Higher paper. There is a worksheet of 14 contextual questions and the presentation gives worked solutions to these problems. None of the problems require the use of the sine or cosine rules, just the application of trigonometry in right-angled triangles. The questions are of the type now being set in the new specification GCSE, where students are expected to apply trig in context. The questions include angles of elevation and depression, trig with bearings and the two right-angled triangles type of question where trig has to be applied twice to find the unknown.

This resource is for KS4 pupils taking the Higher paper. The objective of the resource is to help pupils tackle 3D problems where they need to apply Pythagoras’ Theorem and trigonometry in right-angled triangles. The presentation has a starter, an example and worked solutions to the 4 questions on the worksheet. The shapes covered are cuboids, pyramids, cylinders and wedges. (There is another resource available which requires the application of the sine and cosine rules in similar problems).

This resource is for KS4 pupils taking the Higher paper. The objective of the resource is to help pupils tackle 3D problems where they need to apply Pythagoras’ Theorem, trigonometry in right-angled triangles and the cosine rule. The presentation has a starter, two examples and worked solutions to the 6 questions on the worksheet. The shapes covered are cuboids, pyramids, cylinders and wedges. (There is another resource available which does not require the application of cosine rule in similar problems).