Understanding the UK Mathematics Curriculum Pre-Higher Education
This resource, provided by Mathematics in Education and Industry, offers an overview of pre-university qualifications and describes major developments in mathematics. Since there are a considerable number of pre-higher education qualifications in mathematics available in the United Kingdom, it is not always clear for those working…
Simple Gears and Transmission
This engineering resource, produced by Mathematics in Education and Industry (MEI) for the Royal Academy of Engineering, asks the question: how are transmissions designed so that they provide the force, speed and direction required, and how efficient is the design? Students consider the physical characteristics of two gears,…
Resistor Production
This engineering resource, produced by Mathematics in Education and Industry (MEI) for the Royal Academy of Engineering, asks the question: how can production outcome data from a manufacturing process be analysed to optimise the process? Students consider the outputs of resistors to see the outcomes form a normal distribution.…
Power Demand
This engineering resource, produced by Mathematic in Education and Industry (MEI) for the Royal Academy of Engineering, asks the question: how can you predict future power requirements? Students are required to complete a table by substituting values into a formula and plot a graph. The interactive file can be used to demonstrate…
Heat Loss from Buildings
This engineering resource, produced by Mathematics in Education and Industry (MEI) for the Royal Academy of Engineering, asks the question: how can the most efficient design be determined, taking both building and running costs into account? The introduction considers the thermal conductivity of different materials graphically…
Gas Compression and Expansion
This engineering resource, produced by Mathematics in Education and Industry (MEI) for the Royal Academy of Engineering, asks the question: how can you calculate the energy used, or made available, when the volume of a gas is changed? A bicycle pump, a refrigerator and the internal combustion engine change the volume of a gas…
Air Tracking of a Ground Object
This engineering resource, produced by Mathematics in Education and Industry (MEI) for the Royal Academy of Engineering, asks the question: how can a camera, mounted on a helicopter, be used to track the location of a ground-based object? A number of discussion ideas are considered before using 2D and 3D coordinates to represent…
Biology - Statistical Tests in Medicine
From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity for post-16 students demonstrates that if a link is suspected between a risk factor and an illness, statistical methods can be used to test whether such a link exists. Topic areas covered are: • Statistical…
Psychology - Correlation Study
From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity for post-16 students shows that correlation can be used to measure the strength of a linear relationship. Statistical Inference looks for evidence of what is happening in the population by looking at a sample.…
Physics - Simple Harmonic Motion (SHM)
From the Integrating Mathematical Problem Solving project by MEI, this series of activities explores how mechanical oscillations are important in many areas of everyday life. Sometimes they are useful, for example the motion of the suspension on a car, sometimes they are fun, for example a fairground 'pirate ship' and sometimes…
Physics - Keeping the Coffee Warm
From the Integrating Mathematical Problem Solving project by Mathematics for Education and Industry (MEI), this activity for post-16 students demonstrates that coffee cools gradually because it is hotter than room temperature and heat is lost to the room. Mixing the coffee with milk also cools it but this effect is instant. Topic…
Geography - Hydraulic Radius
From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity for post-16 students demonstrates that the efficiency of a river can be measured using the hydraulic radius; this depends on the cross-sectional area of the river and the wetted perimeter of the cross-section. Topic…
Chemistry - pH
From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity for post-16 students demonstrates that the acidity of a solution depends on the number of hydrogen ions per litre; the number of hydrogen ions per litre varies so much that a logarithmic scale is used. Topic areas…
Modelling the Market: Part Two
From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity shows that derivatives can help to manage risk. The market in derivatives has grown enormously in recent years. On average, speculators break even. The mathematical ideas covered are: • Comparing a model…
Modelling the Market: Part One
From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity shows that it is not possible to be certain what the market will do next. The mathematical ideas covered are: • Time series • Percentage change • Random walks • Geometric mean • Normal…
Measuring Inequalities
From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity shows that income is not equally distributed among all the inhabitants of a country. This can be shown visually using a graph and also measured. The mathematical ideas covered are: • Cumulative frequency…
Student Loans: Part Two
From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity shows how changing the assumptions which a model is based on can change the way it behaves. It is important to compare predictions from a model to what we know happens in real life. This unit assumes that students…
Student Loans: Part One
From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity shows how, when introducing a new way of doing things, it is useful to model how it is likely to work. When comparing the value of money over a period of years, inflation needs to be taken into account. The mathematical…
Inflation
From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity for post-16 students shows how regular sampling of a variety of prices is used to get a measure of inflation. There is more than one possible way to do this. A measure of inflation is used to update pensions and…
Elasticity
From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity shows how changing the price of a product changes the demand so putting the price up can reduce income. Modelling helps decision making. The mathematical ideas covered are: • Percentage change • Maximising…
Statistical Modelling
From the Integrating Mathematical Problem Solving project by Mathematics for Education and Industry (MEI), this activity for post-16 students shows how modelling helps decision making by allowing us to see what is likely to happen. The mathematical ideas covered are: • Modelling cycle • Binomial probability model • Expected…
Multipliers
From the Integrating Mathematical Problem Solving project by Mathematics for Education and Industry (MEI), this activity for post-16 students shows how money which circulates has a greater effect than could be expected. The activity starts by students predicting on what they will spend their wages when they get a job and, from that,…
Compound Interest
From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity shows how compound interest can be calculated over different intervals. As the intervals get smaller and smaller, the total value approaches a limit. Topic areas covered are: • Use of different time intervals…
Study Plan, Notes and Exercises
MEI provides these online resources for OCR FP1 for the modulus-argument form of complex numbers. Detailed notes and examples, with crucial points to learn for the modulus-argument of complex numbers and its application for sets of points, as well as trigonometry knowledge required for this topic are included. There is an…
Study Plan, Notes and Exercises
This MEI resource for OCR FP1 provides information on complex numbers, equations and geometric representation. Topics include sections on polynomial equations with complex roots, representing complex numbers geometrically and roots of complex numbers. There are also notes which cover the factor theorem, a study plan and crucial points…
Study Plan, Notes and Exercises
MEI provides this introduction to complex numbers for OCR FP1. Detailed notes covering the number system, adding subtracting and multiplying complex numbers, complex conjugates, equations with complex roots, equating real and imaginary parts and crucial points to learn are included, together with a thorough study plan. Also available…
5/5- Publication year: 2000 - 2009
- Activity sheet
Study Plan, Notes and Exercises
This MEI Online Resources file for Edexcel FP1 provides information on Complex Numbers and Equations. Topics include equating real and imaginary parts, roots of complex numbers and polynomial equations with complex roots. A study plan for Heinemann textbooks is also available, together with crucial points for students to learn. There…
Multiplication in the Argand Diagram
This MEI interactive resource for complex numbers demonstrates multiplication and division in the Argand diagram. It is an extension piece of work. Students are able to move two points and, from their new position, use the modulus argument form to multiply and divide complex numbers quickly and easily.
The Argand Diagram
This MEI interactive resource for complex numbers demonstrates the Argand diagram. This flash file can be used to plot a point in the complex plane. In this plane on the horizontal axis are the real numbers and on the vertical axis are the imaginary numbers. The point can be picked up and moved into all four quadrants. Each complex…
Study Plan, Notes and Exercises
MEI Online Resources for Edexcel FP1 provide a selection of material for the Modulus-Argument Form of Complex Numbers. Detailed notes and examples for the modulus of a complex number, representing complex numbers geometrically, the argument of a complex number and multiplying and dividing with the modulus argument form are provided,…
Study Plan, Notes and Exercises
MEI Online Resources provide this introduction to Complex Numbers for Edexcel FP1. Detailed notes covering the number system, adding subtracting and multiplying complex numbers, complex conjugates, equations with complex roots and crucial points to learn are included, together with study plans for Heinemann textbooks. Also available…
- 4/5
- Publication year: 2000 - 2009
- Activity sheet
Complex Numbers Hexagonal Jigsaw Puzzle
MEI Online Resources provide this hexagonal jigsaw activity on Complex Numbers. It is a matching activity in which triangles ultimately fit together to form a large hexagon and is designed as a group activity. Collaboration with others will help to highlight any misconceptions held by individual students.