Students are given information which relates to the layout of an athletics track and are guided through a series of activities that have been designed to prompt class discussion and develop Mathematical modelling is the focus of this resource, from the Centre for Innovation in Mathematics Teaching.
Students explore the mathematics behind carbon emission measurement and the concept of carbon footprints. Basic calculations for the travel component of a carbon footprint are demonstrated here, but many The balance between economic success and the environment is the focus of this resource, from the Centre for Innovation in Mathematics Teaching.
It provides an example of how mathematics can help to make people more aware of important issues. Students apply statistical measures to interpret a variety of data which The scoring system used for the heptathlon event is the focus of this resource, from the Centre for Innovation in Mathematics Teaching.
Students are provided with athlete's individual results from the seven events that make up the heptathlon. They then apply relevant formulae to the data and produce tables, or Sign in Register Search. The lake is fed by a fresh stream at 39 litres per hour and keeps a constant level. If the chemical level reaches 0. The investigation could be extended by altering the conditions or better, by using some realistic data from a lake or river near your school.
Note: Heylen tend to use a phone survey and add 1 to each number chosen to guarantee anonymity. A normal search Yummy experiment Am I right? Games involving probability. Have a guess! Students try to find a population that shows a normal distribution, collect data from it and analyse the data to see how close to a normal distribution their population is.
A five or ten minute discussion in class is needed to explain what they must do and to brainstorm ideas of places to look for normal distributions. Follow up activities could include whole class discussion, reducing their own distribution to a standard normal distribution, discussion of sampling methods, discussion of comparison of sample and population values of the mean and standard deviation etc.
Students are asked to complete the answers for a multi choice test. There are 20 questions, each question has 4 possible answers A, B, C and D. They have to guess the answers. After marking collect the marks, form a frequency distribution and calculate the mean and standard deviation. This gives a very good lead in to the binomial distribution and is worth referring back to as theoretical ideas are introduced. Suits of playing cards could be used, but in ESP experiments Zener cards are used with five symbols; rectangle, circle, cross, star and wavy lines.
Bets win if on the first roll known as the Come Out Roll , a total of 7 or 11 is thrown. Any other numbers i. If the point is thrown again, before a 7 is thrown, you win. The spinner spins for pairs of Heads or Tails in sets of three consecutive results.
When the coins show odds all bets stay until the next result. All bets on Heads or Tails lose when five consecutive odds are thrown. And when a pair of Heads or Tails come up the bets on five consecutive odds lose. What is the expected gain for the player betting on Heads?
Or Five Consecutive Odds? In Two Up? If we consider more than three questions, it becomes difficult to draw a tree diagram, but a table is useful:. Different numbers of beans of two colours are put into the hand and enough are removed to leave two beans in the hand. What is the probability of a mix or a match?
The diagram to the right illustrates the possible results. There are two ways for a mix and one for a match. In the long run, we would expect twice as many mixes as matches. For more information about Computational Applied Mathematics research, see Computational Applied Mathematics projects.
There is demand for both M. The department offers a credit M. The department also offers a Ph. How can a high jumper jump higher without jumping higher? Read on Imagine you are building a new Olympic stadium and you are responsible for designing and marking out the running track.
The track needs to fulfil the following specifications:. Can you work out the radius of the curved sections in order to produce an accurate scale drawing?
0コメント