Resources tagged with Mathematical modelling similar to Hiking the Hill:
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Physics. Maths Supporting SET. Rich Tasks. Engineering. Real world. Calculating with fractions. Mathematical reasoning & proof. Biology. Calculus generally. Enrichment. Mathematical modelling.There are 60 results
Broad Topics > Using, Applying and Reasoning about Mathematics > Mathematical modelling
What's a Knot?
Age 7 to 16 Challenge Level:
A brief video explaining the idea of a mathematical knot.
Drawing Doodles and Naming Knots
Age 7 to 18
This article for students introduces the idea of naming knots using numbers. You'll need some paper and something to write with handy!
Concrete Calculation
Age 14 to 16 Challenge Level:
The builders have dug a hole in the ground to be filled with concrete for the foundations of our garage. How many cubic metres of ready-mix concrete should the builders order to fill this hole to. . . .
Stemnrich - the Physical World
Age 11 to 16 Challenge Level:
PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
Twenty20
Age 7 to 16 Challenge Level:
Fancy a game of cricket? Here is a mathematical version you can play indoors without breaking any windows.
Escalator
Age 14 to 16 Challenge Level:
At Holborn underground station there is a very long escalator. Two people are in a hurry and so climb the escalator as it is moving upwards, thus adding their speed to that of the moving steps. . . .
In Constantly Passing
Age 14 to 16 Challenge Level:
A car is travelling along a dual carriageway at constant speed. Every 3 minutes a bus passes going in the opposite direction, while every 6 minutes a bus passes the car travelling in the same. . . .
Shaping the Universe III - to Infinity and Beyond
Age 11 to 16
The third installment in our series on the shape of astronomical systems, this article explores galaxies and the universe beyond our solar system.
Chocolate 2010
Age 14 to 16 Challenge Level:
First of all, pick the number of times a week that you would like to eat chocolate. Multiply this number by 2...
Rocking Chairs, Railway Games and Rayboxes
Age 5 to 18
In this article for teachers, Alan Parr looks at ways that mathematics teaching and learning can start from the useful and interesting things can we do with the subject, including. . . .
Where to Land
Age 14 to 16 Challenge Level:
Chris is enjoying a swim but needs to get back for lunch. If she can swim at 3 m/s and run at 7m/sec, how far along the bank should she land in order to get back as quickly as possible?
Bionrich
Age 14 to 18 Challenge Level:
bioNRICH is the area of the stemNRICH site devoted to the mathematics underlying the study of the biological sciences, designed to help develop the mathematics required to get the most from your. . . .
The Legacy
Age 14 to 16 Challenge Level:
Your school has been left a million pounds in the will of an ex- pupil. What model of investment and spending would you use in order to ensure the best return on the money?
Spot the Card
Age 14 to 16 Challenge Level:
It is possible to identify a particular card out of a pack of 15 with the use of some mathematical reasoning. What is this reasoning and can it be applied to other numbers of cards?
Chemnrich
Age 14 to 18 Challenge Level:
chemNRICH is the area of the stemNRICH site devoted to the mathematics underlying the study of chemistry, designed to help develop the mathematics required to get the most from your study. . . .
Guessing the Graph
Age 14 to 16 Challenge Level:
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Logic, Truth Tables and Switching Circuits Challenge
Age 11 to 18
Learn about the link between logical arguments and electronic circuits. Investigate the logical connectives by making and testing your own circuits and fill in the blanks in truth tables to record. . . .
Truth Tables and Electronic Circuits
Age 11 to 18
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
Physnrich
Age 14 to 18 Challenge Level:
PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
Scratch Cards
Age 14 to 16 Challenge Level:
To win on a scratch card you have to uncover three numbers that add up to more than fifteen. What is the probability of winning a prize?
Logic, Truth Tables and Switching Circuits
Age 11 to 18
Learn about the link between logical arguments and electronic circuits. Investigate the logical connectives by making and testing your own circuits and record your findings in truth tables.
Fixing the Odds
Age 14 to 16 Challenge Level:
You have two bags, four red balls and four white balls. You must put all the balls in the bags although you are allowed to have one bag empty. How should you distribute the balls between the two. . . .
Stringing it Out
Age 14 to 16 Challenge Level:
Explore the transformations and comment on what you find.
Hands Together
Age 11 to 14 Challenge Level:
Sometime during every hour the minute hand lies directly above the hour hand. At what time between 4 and 5 o'clock does this happen?
Tree Tops
Age 14 to 16 Challenge Level:
Can you make sense of information about trees in order to maximise the profits of a forestry company?
Circuit Training
Age 14 to 16 Challenge Level:
Mike and Monisha meet at the race track, which is 400m round. Just to make a point, Mike runs anticlockwise whilst Monisha runs clockwise. Where will they meet on their way around and will they ever. . . .
Shaping the Universe II - the Solar System
Age 11 to 16
The second in a series of articles on visualising and modelling shapes in the history of astronomy.
Investigating Epidemics
Age 11 to 16 Challenge Level:
Simple models which help us to investigate how epidemics grow and die out.
Shaping the Universe I - Planet Earth
Age 11 to 16
This article explores ths history of theories about the shape of our planet. It is the first in a series of articles looking at the significance of geometric shapes in the history of astronomy.
Elastic Maths
Age 14 to 18
How do you write a computer program that creates the illusion of stretching elastic bands between pegs of a Geoboard? The answer contains some surprising mathematics.
Slippage
Age 14 to 16 Challenge Level:
A ladder 3m long rests against a wall with one end a short distance from its base. Between the wall and the base of a ladder is a garden storage box 1m tall and 1m high. What is the maximum distance. . . .
Epidemic Modelling
Age 14 to 18 Challenge Level:
Use the computer to model an epidemic. Try out public health policies to control the spread of the epidemic, to minimise the number of sick days and deaths.
Friday 13th
Age 11 to 14 Challenge Level:
Can you explain why every year must contain at least one Friday the thirteenth?
Rule of Three
Age 11 to 14 Challenge Level:
If it takes four men one day to build a wall, how long does it take 60,000 men to build a similar wall?
Problem Solving, Using and Applying and Functional Mathematics
Age 5 to 18 Challenge Level:
Problem solving is at the heart of the NRICH site. All the problems give learners opportunities to learn, develop or use mathematical concepts and skills. Read here for more information.
Plaiting and Braiding
Age 7 to 14
This article for students gives some instructions about how to make some different braids.
Celtic Knotwork Patterns
Age 7 to 14
This article for pupils gives an introduction to Celtic knotwork patterns and a feel for how you can draw them.
Designing Table Mats
Age 11 to 16 Challenge Level:
Formulate and investigate a simple mathematical model for the design of a table mat.
Christmas Trees
Age 11 to 14 Challenge Level:
Christmas trees are planted in a rectangular array. Which is the taller tree, A or B?
Lap Times
Age 14 to 16 Challenge Level:
Two cyclists, practising on a track, pass each other at the starting line and go at constant speeds... Can you find lap times that are such that the cyclists will meet exactly half way round the. . . .
Straw Scaffold
Age 11 to 14 Challenge Level:
Build a scaffold out of drinking-straws to support a cup of water
Observing the Sun and the Moon
Age 7 to 14 Challenge Level:
How does the time of dawn and dusk vary? What about the Moon, how does that change from night to night? Is the Sun always the same? Gather data to help you explore these questions.
Bus Stop
Age 14 to 16 Challenge Level:
Two buses leave at the same time from two towns Shipton and Veston on the same long road, travelling towards each other. At each mile along the road are milestones. The buses' speeds are constant. . . .
Bell Ringing
Age 11 to 14 Challenge Level:
Suppose you are a bellringer. Can you find the changes so that, starting and ending with a round, all the 24 possible permutations are rung once each and only once?
Triathlon and Fitness
Age 11 to 14 Challenge Level:
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
The Lady or the Lions
Age 11 to 14 Challenge Level:
The King showed the Princess a map of the maze and the Princess was allowed to decide which room she would wait in. She was not allowed to send a copy to her lover who would have to guess which path. . . .
Witch's Hat
Age 11 to 16 Challenge Level:
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Pattern of Islands
Age 11 to 14 Challenge Level:
In how many distinct ways can six islands be joined by bridges so that each island can be reached from every other island...
Crossing the Atlantic
Age 11 to 14 Challenge Level:
Every day at noon a boat leaves Le Havre for New York while another boat leaves New York for Le Havre. The ocean crossing takes seven days. How many boats will each boat cross during their journey?
NRICH is part of the family of activities in the Millennium Mathematics Project.