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The below is a list of presentations currently offered, appropriate for senior high school classes, in alphabetical order. If you would like us to come and give any of these presentations in your classroom for free, please use the contact form on the School Visits page.
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Bothersome Brainteasers
Grade: 10-12
Language: English
Has it been a real long time since you have 'troubled' your brain in finding the right answer to a question? In this talk, you will experience four different brainteasers on shapes and patterns to tease your brain and have a good laugh too!
Outcomes:
- Hone problem solving skills.
- Explore Eulerian circuits and their mathematical properties.
- Develop intution for problems involving the infinite.
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Eulerian Circuits
Grade: 10-11
Language: English
In this talk, students will be asked to find a route through the historic city of Königsberg so that they cross every bridge exactly once. This problem spawned an area of mathematics called graph theory, which makes this problem (and many others) much easier to solve! This talk serves as a gentle introduction to graph theory and its applications.
Outcomes:
- Solve problems using graphs.
- Learn definitions involving graphs.
- Look into different types of graphs.
- Try to deduce mathematical theorems.
- Understand why graph theory is so important in real life.
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Fibonacci & the Golden Ratio
Grade: 10-11
Language: English
In this talk students discover the relationship between the Golden Ratio and Fibonacci numbers. We also learn why the Golden Ratio is found throughout nature and listen to Fibonacci number inspired music.
Outcomes:
- What can happen when you sum numbers with a certain pattern.
- Look into a spatial math sequence and a special number, that appears in nature a lot and is now used in everyday life.
- Math and art.
- Math and music.
- Count the number of solutions to a problem.
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Nasty Number Tricks and Devious Divisibility
Grade: Grade 10-12
Language: English
G.H. Hardy (a famous 20th Century mathematiian) wrote: 'Beauty is the first test: there is no permanent place in the world for ugly mathematics'. Let us face it-algebra can be hard and there will be point for everyone when they find using algebra is difficult. But, believe it or not, algebra can be really beautiful and is, in fact, a powerful tool! Algebra can give a great sense of achievement every time a problem is solved and can, definitely, provide effective methods to break down and solve problems. In this talk, you will feel such a satisfaction and you will see how algebra allows you to take a situation and make it more general by examining nasty number tricks and devious divisibility.
Outcomes:
This presentation is currently undergoing trials. If you are willing to host a trial-run in your classroom, please contact us.
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Pascal's Triangle
Grade: 10-12
Language: English
Pascal's triangle is an array of numbers arranged in a triangular shape which, upon closer inspection, contains fascinating patterns.
In this presentation we explore what information Pascal's triangle contains and discover that it has connections to combinatorics ("art of counting"), number theory, geometry and even fractals.
We will also see an idea that seems true, intuitively, but is surprisingly not yet proven.
Outcomes:
- Observe what happens when you sum up numbers in certain ways, and detect any patterns.
- Think about numbers geometrically and visually, and draw the connection between numbers and geometric shapes.
- Use Pascal's triangle to solve counting problems.
- Understand what it means to "show" a claim in the world of mathematics.
- Try to pose appropriate mathematical questions to explore.
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Toads & Frogs
Grade: 10-11
Language: English
Toads & Frogs is a game that is easy to play and fun to explore. We will find the number of moves needed to solve the game, and discover more about number patterns within the game.
Outcomes:
- Study the mathematics behind the strategies to a game.
- Use formulas to express number patterns.
- Introduce polynomials.
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Tower of Hanoi
Grade: 10-12
Language: English
The Tower of Hanoi is a very old and very popular problem. How many moves does it take to move a stack of disks from one peg to another, following certain rules? Legend has it that priests in a temple were solving the puzzle with 64 golden disks, and when the last move is completed, the world would end!
Outcomes:
- Study a classical game.
- Find number patterns within data.
- Use formulas to express number patterns.
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