These presentations are a tool for those teaching GCSE Mathematics. They cover all the theory for Shape, Space and Measures and, in addition, provide worked examples, summaries and introductory exercises to test students’ understanding. Whilst aimed principally at whole class teaching, they can be used by individual students or small groups to help them when they have missed work or when they are revising.
There are 113 files. Extensive use is made of graphs and animated diagrams to explain and enliven the work. Teachers can control the speed at which the presentations run and pause whenever they wish. From time to time, the presentations ask students to share ideas so that they gain confidence.
The presentations have been written especially for the two tiers, Foundation and Higher, and form 3 groups of files.
The files have been labelled as follows:
F: Basic work for the Foundation tier.
O: Topics that are likely to give rise to questions graded D and C. These topics form the Overlap between Foundation and Higher and could be examined at either level.
H: Topics which appear only in the Higher tier content.
The Overlap files appear in the contents list for both Foundation and Higher tiers. This enables teachers to see at a glance which files cover work that needs to be included for students aiming for grades C or D on the Foundation papers. Also, since 50% of the higher level assessment is targeted at grades C and D, it is easy to pick out topics which may need revision when students are moving to the Higher tier.
The Contents file is the key to easy access to the presentations. The titles have been hyperlinked to the files and colour has been used to group topics.
For example, work on circles and loci appears in all 3 levels and is coloured light blue in the contents.
The colour makes it easy to find a topic at the different levels. For example, with younger students, teachers may wish to use only the Foundation Basic presentation, introducing the words associated with circles. Later in the course it could be shown again for revision before introducing the new topics covered in the Overlap files. With Higher level students, teachers might want to revise work on circumferences and areas of circles, likely to give rise to grade C and D questions, before tackling the circle theorems which normally give rise to questions at grade B and above.
Clip art images are used as follows:
Students should check the result on a calculator.
A summary of the key points in a form suitable for note taking.
Exercises that do not require a calculator. Some involve arithmetic that gives practice for non-calculator papers.
Exercises where a calculator is useful or essential.
Correct mathematical language, the ideas of proof, and multi-step calculations are introduced gradually. Topics towards the end of the Higher tier work are treated in a way that gives excellent preparation for those students continuing to AS and A level.
Since students often confuse decimal places and significant figures, they are asked to give answers to exercises using a variety of different accuracies. For example, 2 decimal places, 3 significant figures and nearest integer. Where no accuracy is specified in a question, answers that are not exact should be given to 3 significant figures.
Higher level presentations encourage students to maintain accuracy in calculations by leaving answers on their calculators for use in further calculations so that rounding errors do not occur.
Animations will not work correctly unless Powerpoint 2002, or later, is used.