Foundation 2

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. The second part of the book is a comprehensive revision guide which provides notes and relevant questions for the whole syllabus.

Contents

1. Further methods of computation - Working mentally with whole numbers and decimals • Working mentally with fractions • Working mentally with percentages • Non-calculator methods for whole numbers • Squares, cubes and powers • Significant figures • Order of operations • Estimation and efficient use of a calculator • Large and small numbers on a calculator.

2. Transformations - Reflecting shapes • Using reflection • Rotating shapes • Translating shapes Tessellating shapes • Enlarging shapes.

3. Number properties - Factors, multiples and primes • Ratio • Calculating with ratios • Proportion • Fractions, decimals and percentages • Using fractions, percentages and ratio to compare amounts • Calculating with fractions.

4. Statistics and probability - Probability revisited • Writing questionnaires • Using mean, median, mode and range • Frequency distributions • Drawing pie charts • Scatter diagrams and correlation.

5. Using algebra - Solving problems using algebra • Putting numbers into formulae • Working with brackets • Always, sometimes, never • Harder equations.

6. Measures revisited - Conversion between metric and Imperial units • Time • Speed • Maps and bearings • Perimeter and area of a circle.

7. Using graphs to solve problems - Using negative numbers • Coordinates and area • Interpreting points • Conversion graphs • Line graphs • Misleading graphs • Using graphs to solve equations.

8. Properties of shapes - Cones and spheres • Pentagons, hexagons and octagons • Patterns made from circles • Solving problems • Rectangle borders Revision Exercises

Please note, some pages and images have been removed from the resource file.