This resource from Nelson Thornes was for students following the Foundation tier in mathematics and part of a series of books which delivered the three tier structure of GCSE. Each chapter begins with learning outcomes and contains reference boxes which explain techniques or concepts to be mastered, as well as discussion points and key facts.
1. Numbers - Place value * Mental methods of calculation * Types of numbers * The size of whole numbers * Decimal numbers * Fractions and decimals * Understanding the calculator display * Large and small numbers.
2. Geometrical patterns - Squares, equilateral triangles and other shapes * Types of angle * Names of shapes * Measuring and drawing angles * Angles and lines * Angles in triangles * Quadrilaterals * Line symmetry * Rotational symmetry.
3. Rules in numbers and algebra - Number rules * Inverse rules * Using algebra for rules * Windows.
4. Working with data - Are people square? - a statistical survey * Representing data * Percentage pie charts * Who has the quickest reactions? * a statistical experiment∙ Practising range, mean and median.
5. Squares, area and perimeters - Squares and coordinates * Areas by counting squares * Squares and square roots * Rectangles * Long multiplication using areas * Parallelograms * Triangles * Finding areas of other shapes * Perimeters
6. Fractions and percentages - Fractions of quantities * Fractions, decimals and percentages * Finding percentages of money * Percentage problems * Finding one quantity as a percentage of another
7. Sequences and cubes - Number grids * Continuing sequences * Finding rules for simple sequences * Sequences from squares and other shapes * Sequences of cube models.
8. Journeys - The calendar * Time * Time zones * Speed * Maps and scales * Scale drawing.
9. Circles and cuboids - Circles * Area of a circle * Cube models * Volumes of cuboids * Surface areas of cube models * Surface areas of cuboids.
10. Probability - What's the chance? Estimating probabilities from experiments * Using equally likely outcomes * Listing all the outcomes of two events * Choosing the best method to find probabilities.
11. Graphs - Plotting coordinates * Rules for coordinates * Practical uses of straight-line graphs * Travel graphs * Equations of straight-line graphs * Curved graphs.
12. Measures - Reading scales * Metric measures * Converting between metric and Imperial measures * Estimating and measuring * Using measures to solve problems * Volumes of cuboid containers * Surface areas of containers.
13. Equations - Negative numbers * Equations: unknown on one side * Equations: unknown on both sides * Simplifying: collecting like terms * Forming expressions and equations * Forming and solving equations.
14. Geometry - Congruence * Properties of triangles and quadrilaterals * Accurate drawing * Solid shapes and nets
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