# Mathematics Enhancement Programme- Year 8 Resources

To get the most out of these resources please make sure you read:

## 1 Mathematical Diagrams

1.1 Mileage charts

1.2 Using flow charts to plan practical tasks

1.3 Using a flow chart for classification

1.4 Networks

1.5 Critical path analysis

## 2 Factors

2.1 Factors and prime numbers

2.2 Prime factors

2.3 Index notation

2.4 Highest common factor and lowest common multiple

2.5 Squares and square roots

## 3 Pythagoras’ Theorem

3.1 Pythagoras’ Theorem

3.2 Calculating the length of the hypotenuse

3.3 Calculating the lengths of other sides

3.4 Problems in context

3.5 Constructions and angles

## 4 Rounding and estimation

4.1 Revision of the four rules: whole numbers

4.2 Revision of the four rules: decimals

4.3 Order of operations

4.4 Problems in context

4.5 Rounding

4.6 Estimating

4.7 Calculator logic

## 5 Data analysis

5.1 Frequency tables: discrete ungrouped data

5.2 Mean, median, mode and range

## 6 Nets and surface area

6.1 Common 2D and 3D shapes

6.2 2D representation of 3D shapes

6.3 Plans and elevations

6.4 Nets and surface area of cubes and cuboids

6.5 Nets of prisms and pyramids

## 7 Ratio and proportion

7.1 Equivalent ratios

7.2 Direct proportion

7.3 Proportional division

7.4 Linear conversion

7.5 Inverse proportion

## 8 Algebra: brackets

8.1 Expansion of single brackets

8.2 Linear equations

8.3 Common factors

8.4 Expansion of two brackets

## 9 Arithmetic: fractions and percentages

9.1 Revision of operations with fractions

9.2 Fractions in context

9.3 Conversion of fractions and percentages

9.4 Finding percentages

9.5 Increasing and decreasing quantities by a percentage

9.6 Finding the percentage increase and decrease

9.7 Reverse percentage calculations

## 10 Probability: two events

10.1 Recap: basic probability for one event

10.2 Outcomes with two events

10.3 Probability using listings

10.4 Multiplication law for independent events

10.5 Conditional probability

## 11 Angles, bearings and maps

11.1 Angle measures

11.2 Parallel and intersecting lines

11.3 Bearings

11.4 Scale drawings

## 12 Formulae

12.1 Substitution 1

12.2 Substitution 2

12.3 Linear equations 1

12.4 Linear equations 2

12.5 Non-linear equations

12.6 Changing the subject of a formula

## 13 Money and time

13.1 Money

13.2 Time

13.3 Time and money

## 14 Straight line graphs

14.1 Coordinates

14.2 Plotting points on straight lines

14.3 Plotting graphs given their equations

14.4 The equation of a straight line

14.5 The equation of a line given two points

## 15 Polygons

15.1 Angle facts

15.2 Angle properties of polygons

15.3 Symmetry

## 16 Circles and cylinders

16.1 Introduction to circles

16.2 Estimating the circumference of a circle

16.3 Estimating the area of a circle

16.4 Formulae for circumference and area

16.5 Problems in context

16.6 Volume and surface area of a cylinder

## 17 Units of measure

17.1 Estimating metric units of length, mass and capacity

17.2 The metric system: conversion between units

17.3 Estimating imperial units of length, mass and capacity

17.4 Metric and imperial units

17.5 Problems in context

## 18 Speed, distance and time

18.1 Speed

18.2 Calculating speed, distance and time

18.3 Problems with mixed units

18.4 Distance- time graphs

18.5 Other compound measures

## 19 Similarity

19.1 Enlargement

19.2 Similar shapes

19.3 Line, area and volume ratios

19.4 Maps and scale models

## 20 Questionnaires and analysis

20.1 Questionnaire design

20.2 Data display

20.3 Line graphs