### Flight Charges

Countries charge for planes to fly through their airspace even if the plane does not land. Different countries levy different charges, therefore plane companies consider a number of different routes and calculate the associated charges with each route. The formula used to fly over Europe is considered and an example calculation provided.…

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- Publication year: 1990 - 1999
- Assessment

### Scheduling Pilots

There are strict limits on the number of hours that pilots can work. A formula is given which is used to calculate 'stick' time, the actual working time for a flight with a scheduled flying time of t minutes. Students are required to use this formula to solve a number of problems posed. Students are asked to graph the relationship…

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- Publication year: 1990 - 1999
- Activity sheet

### Scheduling Aircraft

The flight from Singapore from London takes 13 hours and 35 minutes. Given the take off time and the fact that Singapore is 7 hours ahead of London, students are asked to find the local time the plane lands in London. Students are posed a series of problems and tasks relating to other flights between Singapore and London involving…

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- Publication year: 1990 - 1999
- Activity sheet

### Coil Feed Line

This problem features a coil of tinplate being stored on a mandrel. In the first problem, students are presented with the diameter of the mandrel, the height from the floor, the width of the coil and the density of the steel. The problem is to calculate the maximum coil weight. A worked solution is included with the problem. The…

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- Publication year: 1990 - 1999
- Activity sheet

### Reduction Mill

The reduction mill reduces the thickness of a strip of steel using a series of rollers, each roller making the steel slightly thinner. The percentage reduction is constant on each pair of rollers. The mathematics used to calculate the actual reduction is similar to that used when calculating compound interest. Students are required…

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- Publication year: 1990 - 1999
- Activity sheet

### Transportation

The cost of transportation is a key factor for many industries. This activity features a classic transportation problem giving the outputs of two suppliers, the demands of two consumers and the associated transportation costs. Students are asked to find the minimum transportation cost to meet the demand. Students are presented…

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- Publication year: 1990 - 1999
- Activity sheet

### Wavy Edges

Due to problems in the manufacture of tinplate coils, the edge of the strip can be slightly longer than the centre. This causes a 'wave' on the wall of the coil but can be rectified by differentially stretching the strip to make the edges flat. Students are required to apply Pythagoras' theorem to find the radius…

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- Publication year: 1990 - 1999
- Activity sheet

### Drinks Cans

Drinks cans are made by stamping out circular discs from a sheet of tin. Given the dimensions of the sheet of tin and the diameter of the circle stamped out, students are required to calculate the wastage and to investigate whether there is a more efficient method. The problem requires students to be able to calculate the area of…

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- Publication year: 1990 - 1999
- Activity sheet

### Tin Can Design

Tin cans come in a variety of shapes and sizes. In this activity students consider the net of a tin can, the formula for the total surface area and the formula for the volume of the can. The first problem requires students to express the total surface area as a function of r by eliminating h. The second problem requires students…

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- Publication year: 1990 - 1999
- Activity sheet

### Multiplying Decimals

This resource, from the Centre for Innovation in Mathematics Teaching, illustrates the common mistakes students make when multiplying two decimal values. It suggests that the language used could be adjusted so that the term times is interchanged with of, thus one-tenth of one-tenth is equal to one one-hundredth. Practice of multiplying…

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- Publication year: 1990 - 1999
- Teacher guidance

### Calculations with Hundreds and Thousands

This resource, from the Centre for Innovation in Mathematics Teaching, builds on students' previous knowledge of multiplying by powers of 10 to demonstrate how calculations such as 2000 x 300 can be performed accurately. Follow-up exercises provide practice in the skills learned.

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- Publication year: 1990 - 1999
- Simulation

### Calculations with Negative Numbers

Straightforward logic is used in this resource, from the Centre for Innovation in Mathematics Teaching, to establish the calculation, necessary to move correctly along a number line, when the starting point is at a negative value. Phrases such as owing and debt are used to help students deal with directed number in context. Further…

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- Publication year: 1990 - 1999
- Teacher guidance

### Adding with Negative Numbers

A number line is used in this resource, from the Centre for Innovation in Mathematics Teaching, to illustrate how to solve a calculation involving negative numbers. To help correct misconceptions regarding these, the term taking away is used to represent minus and giving back for plus. Thus -8 +6 is read as taking away 8 and giving…

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- Publication year: 1990 - 1999
- Teacher guidance

### Dividing Whole Numbers by Fractions

This resource, from the Centre for Innovation in Mathematics Teaching, uses diagrams to illustrate division by a fraction and, to clarify the common misconception identified with this task, prompts students to rethink the statement, divide three by one quarter, as the number of quarters that fit into three. Practice of dividing…

- 4/5
- Publication year: 1990 - 1999
- Teacher guidance

### Decimals and Their Equivalent Fractions

This resource, from the Centre for Innovation in Mathematics Teaching, explores the misconception that decimals and fractions are different types of numbers. It illustrates how to write a decimal value as a fraction, as well as how, by using division, most fractions can be expressed with denominators of 10, 100 or 1000 to find their…

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- Publication year: 1990 - 1999
- Teacher guidance

### Multiplications Can Increase or Decrease

This resource, provided by the Centre for Innovation in Mathematics Teaching, explores why multiplication does not always increase the size of a number. It explains how, by putting the term multiplying into a context with which students can identify and making a situation meaningful, this common misconception can be addressed. Practice…

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- Publication year: 1990 - 1999
- Activity sheet

### Rounding Numbers

Students' misconceptions when rounding to the nearest 1000 is the focus of this resource from the Centre for Innovation in Mathematics Teaching. It illustrates how, when asked to round a value to the nearest 1000, some students mistakenly round to the nearest 10, then the nearest 100 and finally to the nearest 1000, giving an…

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- Publication year: 1990 - 1999
- Teacher guidance

### Probability

Designed to improve confidence in mathematics, these resources from the Centre for Innovation in Mathematics Teaching, focus on probability and were developed particularly for primary teachers and those non-specialists who teach mathematics in the lower secondary years. Each section offers an overview of a particular topic and…

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- Publication year: 1990 - 1999
- Teacher guidance

### Percentages

Designed to improve confidence in mathematics, these resources from the Centre for Innovation in Mathematics Teaching, focus on percentages and were developed particularly for primary teachers and those non-specialists who teach mathematics in the lower secondary years. Each section offers an overview of a particular topic and…

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- Publication year: 1990 - 1999
- Teacher guidance

### Numbers

Designed to improve confidence in mathematics, these resources from the Centre for Innovation in Mathematics Teaching, focus on numbers and were developed particularly for primary teachers and those non-specialists who teach mathematics in the lower secondary years. Each section offers an overview of a particular topic and the…

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- Publication year: 1990 - 1999
- Teacher guidance

### Mensuration

Designed to improve confidence in mathematics, these resources from the Centre for Innovation in Mathematics Teaching, focus on mensuration and were developed particularly for primary teachers and those non-specialists who teach mathematics in the lower secondary years. Each section offers an overview of a particular topic and…

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- Publication year: 1990 - 1999
- Teacher guidance

### Handling Data

Designed to improve confidence in mathematics, these resources from the Centre for Innovation in Mathematics Teaching, focus on handling data and were developed particularly for primary teachers and those non-specialists who teach mathematics in the lower secondary years. Each section offers an historical background of a particular…

- 5/5
- Publication year: 1990 - 1999
- Teacher guidance

### Geometry

Designed to improve confidence in mathematics, these resources from the Centre for Innovation in Mathematics Teaching, focus on geometry and were developed particularly for primary teachers and those non-specialists who teach mathematics in the lower secondary years. Each section offers an overview of a particular topic and the…

- Not yet rated
- Publication year: 1990 - 1999
- Teacher guidance

### Fractions

Designed to improve confidence in mathematics, these resources from the Centre for Innovation in Mathematics Teaching, focus on fractions and were developed particularly for primary teachers and those non-specialists who teach mathematics in the lower secondary years. Each section offers an overview of a particular topic and the…

- Not yet rated
- Publication year: 1990 - 1999
- Teacher guidance

### Equations

Designed to improve confidence in mathematics, these resources from the Centre for Innovation in Mathematics Teaching, focus on equations and were developed particularly for primary teachers and those non-specialists who teach mathematics in the lower secondary years. Each section offers an overview of a particular topic and the…

- Not yet rated
- Publication year: 1990 - 1999
- Teacher guidance

### Decimals

Designed to improve confidence in mathematics, these resources from the Centre for Innovation in Mathematics Teaching, focus on decimals and were developed particularly for primary teachers and those non-specialists who teach mathematics in the lower secondary years. Each section offers an overview of a particular topic and the…

- Not yet rated
- Publication year: 1990 - 1999
- Teacher guidance

### Algebra

Designed to improve confidence in mathematics, these resources from the Centre for Innovation in Mathematics Teaching, focus on algebra and were developed particularly for primary teachers and those non-specialists who teach mathematics in the lower secondary years. Each section offers an overview of a specific topic and the key…

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- Publication year: 1990 - 1999
- Activity sheet

### Lorenz Cipher Machine

The development of techniques used by code-breakers at Bletchley Park Breaking during World War II is the focus of this resource, from the Centre for Innovations in Mathematics Teaching. New branches of statistical analysis and the development of the electronic computer emerged from this work and here students learn how one of the…

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- Publication year: 2000 - 2009
- Activity sheet

### EAN Bar Codes

Bar codes are used extensively and this resource, from the Centre for Innovation in Mathematics Teaching, enables students to explore how they are structured. The activities are designed to prompt class discussion and mathematical thinking as students learn how to check that a code is valid and develop their own examples. European…

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- Publication year: 2000 - 2009
- Activity sheet

### Braille

Braille is a system of dots which enables blind people to read and this resource, from the Centre for Innovation in Mathematics Teaching, provides the opportunity for students to explore the patterns used in this code. The activities are designed to prompt class discussion and mathematical thinking, while engaging students in decoding…

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- Publication year: 2000 - 2009
- Activity sheet

### Penalty Shoot Out

Simulation of penalty shoot-outs is the focus of this resource, from the Centre for Innovation in Mathematical Teaching. Students use random numbers to decide the probability of a team scoring a goal, as well as investigating the average number of kicks and the most likely result. The tasks are designed to prompt class discussion…

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- Publication year: 2000 - 2009
- Activity sheet

### National Lottery

The Centre for Innovation in Mathematics Teaching provide this resource which uses the National Lottery to promote class discussion and mathematical thinking. Students explore how the lottery works and investigate the probability of winning, as well as considering a variety of different investment opportunities. The teachers'…

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- Publication year: 2000 - 2009
- Activity sheet