# Mathematics (Foundation)

GCSE Course Outlines

The emphasis given to each topic will vary according to the strengths and weaknesses of the students in the groups and the syllabuses for which they have been taught. It is therefore important that students give as much detail as possible on the questionnaire about their syllabus and any specific areas of difficulty.

**Number**

Basic arithmetic; use of calculators; fractions and percentages; ratio; estimation and appropriate degree of accuracy; trial and improvement methods; standard form; evaluating formulae.

**Algebra**

Sequences and number patterns; symbolic notation; manipulation of formulae; powers and roots; direct and inverse proportion; solving simple equations and inequalities; simultaneous equations; trial and improvement for polynomial equations; mappings; graphs of functions and inequalities; y = mx + c.

**Shape and Space**

Drawing and measurement; 2-D representation of 3-D objects; angles; symmetry; similarity; bearings; 3-dimensional coordinates; plane and solid figures; areas and volumes; transformations loci; networks; Pythagoras' theorem; sine; cosine; and tangent (2-dimensional problems).

**Handling Data**

Design and use of an observation sheet/questionnaire; statistical diagrams; scatter diagrams and the idea of correlation; probability (estimating probabilities, independent and mutually exclusive events); mean, median and mode; frequency polygons and cumulative frequency diagrams; upper and lower quartiles; tree diagrams; flow diagrams.