Preparing for Foundation Mathematics
| Self-study Video Clips |
University of Leeds have developed these great videos to help study mathematics. mini video clips |
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| Please note although majority of the resources here contain Engineering examples, the processes are applicable to all disciplines. | ||
| Skills | Learning Outcomes | Worksheet |
| Addition and subtraction | Fractions involving symbols occur frequently. It is necessary to be able to add and subtract them. On this leaflet, we revise how these processes are carried out. An understanding of writing fractions in equivalent forms is necessary. | Addition and Subtraction |
| Fractions | This leaflet reminds students how to express a fraction in its simplest form, and how to add, subtract, multiply and divide fractions. | Fractions |
| What are fractions? Fractions are ways of writing parts of whole numbers. For example if we take a pizza, and divide it up equally between 4 people, each person will have 1/4 or, written in words, one quarter of the pizza. | Fractions—basic ideas | |
| Decimal Places & Significant | On completion of this worksheet you should be able write any number to a given number of significant figures or decimal places. | Decimal Places & Significant Figures |
| This leaflet shows how easy it is to multiply or divide deceimals by powers of ten. | Decimals | |
| Percentages | The use of percentages is common in many aspects of commercial life. Interest rates, discounts, pay rises and so on, are all expressed using percentages. This leaflet revises the meaning of the term 'percentage', and shows how to calculate percentages. | Percentages |
| In this unit we shall look at the meaning of percentages and carry out calculations involving percentages. We will also look at the use of the percentage button on calculators. | Percentages | |
| Basic Algebra | In many business applications, two quantities are related linearly. This means a graph of their relationship forms a straight line. This leaflet discusses one form of the mathematical equation which describes linear relationships. | Linear relationships |
| Solving Equations | This leaflet explains how simple linear equations are solved. | Solving linear equations |
| In this unit we find the equation of a straight line, when we are given some information about the line. The information could be the value of its gradient, together with the co-ordinates of a point on the line. | Equations of straight lines | |
| Formulae | The ability to rearrange formulas, or rewrite them in different ways, is an important skills. This leaflet will explain how to rearrange some simple formulas. | Rearranging formulas 1 |
| The ability to rearrange formulas, or rewrite them in different ways, is an important skills. This leaflet will explain how to rearrange some complex formulas. | Rearranging formulas 2 | |
| Trigonometry | This unit introduces the ratios sine, cosine and tangent, with reference to a right angled triangle. | Trigonometrical ratios in a right-angled triangle |
| Simultaneous equations | On occasions you will come across two or more unknown quantities, and two or more equations relating to them. These are called simultaneous equations and when asked to solve them yo u must find values of the unknowns which satisfy all the given equations answers. | Simultaneous equations |
| This is a complete workbook introducing the solution of a pair of simultaneous linear equations. It contains plenty of examples and exercises. It can be used as a free-standing resource or in conjunction with the mathtutor DVD. | Simultaneous linear equations | |
| Straight line graphs | In this unit we use a system of co-ordinates to find various properties of the straight line between two points. We find the distance between the two points and the mid-point of the line joining the two points. | Properties of straight line segments |
| This leaflet explains about how points are plotted on a simple graph. It explains words such as origin, coordinates, axes. | x − y plots | |
| Products & Brackets | This leaflet explains how to expand or remove brackets from an algebraic expression. | Removing brackets 1 |
| Factorising can be thought of as a reversal of the process of removing brackets. When we factorize an expression, it is written as a product of two or more terms, and these will normally involve brackets. | Factorising Simple Expressions | |
| Factorisation and Quadratics | In this leaflet, we explain the procedure for factorising quadratic expressions. Be aware, not all quadratic expressions can be factorised. | Factorising quadratics |
| The ability to factorise a quadratic expression is an essential skill. This booklet explains how this process is carried out. | Factorising quadratics | |
| Probability |
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Elementary Probability |
| Statistical calculations | This page will show how to calculate the mean from a frequency table and how to obtain an estimate of the mean from a grouped frequency table. | The Mean |
| On completion of this worksheet you should understand the differences between the mean, median and the mode and be able to calculate these averages. | Averages | |
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