Is the term "middle" exclusively used to describe a point equidistant from two others? How can we determine the center among three, four, or even five points? Let's explore the fascinating world of geometry using logic and proofs. Join us as we explore these concepts using GeoGebra and learn to apply its features in our geometric journey. This circle is a supportive all-girls environment designed to foster self-confidence and excitement for mathematics in girls, a population that is underrepresented in the field.
Let's explore an ancient mathematical curiosity: Magic Squares. What can these marvelous grids of interlocking numbers, which have fascinated people through the ages, teach us about geometry, combinatorics, and more? Can we create our own, original Magic Squares?
A silly pirate, interested in treasure, goes on some algebraic adventures. Assist her in finding her treasure through concrete and pictorial representations of algebraic concepts.
Join us on an adventure through the ocean as we discover the magic of patterns and numbers! We'll uncover some unexpected relationships and how they shape our understanding of the world around us. Let's dive in and have some fun with math!
Tiling a wall seems like a simple task. But there's a catch - the tiles are of various shapes and sizes. This circle takes place where geometry and optimization overlap, allowing for new conjectures and proofs that haven't yet been created.
Can we optimize the connections between different places like a traffic engineer? Let's delve into the world of graph theory and optimize distances between connection points. What happens when obstacles block the most direct route? Join us as we examine these and other intriguing questions using graph theory and optimization.
We can solve equations with an "x" in them. We can even solve equations when the x term is squared. What happens when we start mixing the two together? Join us to discover quadratic equations from the ground up and explore the beautiful connections between arithmetic, unknowns, and graphs, as we learn how to solve some of the most interesting puzzles in algebra! (Participants should have some basic familiarity with solving simple equations for an unknown, arithmetic, and working with fractions, squares, and square roots.)
Get ready to have some fun as we dive into arithmetic, probability, and optimization using formal logical strategies in this circle. This circle is a supportive all-girls environment designed to foster self-confidence and excitement for mathematics in girls, a population that is underrepresented in the field.
In this circle we will uncover mathematical truths that underly everyday life. We will look at how the Fibonacci sequences and combinatorics are the keys to unlocking real-world mysteries, and give us critical and creative ways to view mundane, everyday things. As mathematician Jordan Ellenberg says, "If the universe presents you with a difficult problem, try solving a simpler version and hope that it's close enough to the original problem that the universe doesn't object."
Math is full of different approaches and strategies that can lead to the same solution. In this exploration, we will delve into various patterns and puzzles to improve our skills in finding various ways to reach the same conclusions.
This circle is a continuation of Finding a Balance, but can be taken without the first one. In this circle we will continue with our mobile shapes: what happens to their balances when we square or multiply the masses of the shapes? We will explore algebra in terms of balance, exponential relationships, and begin to represent these in terms of equations.
Let's explore some mathematical magic during the holiday season! Card tricks are nothing supernatural, but rather sleight-of-hand and mathematics. Over these five days, we will explore the mathematical side of card tricks, learning to perform one each day, and then discover the math of how it works. Please bring a normal deck of playing cards and excitement about learning the mathematical secrets behind the magic!
Winter Wonderland is a magical place that has always been cold, and the animals who live there like it that way. Recently, some creatures have stolen the snowflake and turned the Winter into an endless summer. Join us in a cryptography adventure to find the magic snowflake and save Winter Wonderland!
Let's determine how much an item on a scale weighs when balanced with others! Would this still be possible if we don't know the weight of any of the items? We will explore these questions and more, developing a solid basis for algebraic thinking and reasoning.
We can add and multiply numbers, but there are other things we can add and multiply, too! For example, we say that "odd + odd = even". What were we exactly adding here? Are there other categories of numbers other than odd and even that we can add and multiply together? Join us on this journey into an entirely new ways of thinking about addition and multiplication which leads us to draw triangles, squares, and stars on clocks, discover divisibility rules for numbers, know what day of the week it will be in exactly one million days, and figure out the last digit of 9 to the power of 100.
Is there an infinite way to make arrangements, or are the possibilities limited? In this circle, we will explore the various combinations of different items. Is there a best combination? Perhaps we can use mathematics help us find it.
The forest is being destroyed, and the animals are trying to save it! Using patterns with numbers and shapes, you can help them successfully reclaim their forest.
Two points on a plane have a slope, but what about a curve? What about one point? What are the properties of different types of curves? We will explore points, lines, and curves - their properties, their relationships, what happens as they change direction or gradation - and determine what mysteries we can uncover!
Cryptography has been used since ancient times to keep secrets. In this circle we be exploring secrets of cryptogrphy, both ancient and modern, find a way to break some codes, and perhaps create some unbreakable codes while we're at it.
Mathematics is hidden all around us, in everything we see, do, and decide. In this circle we will look at the practical application of mathematics that is all around us, which will give us a new way of viewing everything from buildings and trees, to our decisions and actions. Join in the exploration, and be ready to see the world in a new way!
Magic squares have dazzled people around the world for millennia. They represent perfection, and some cultures believe their mysteries were used by a deity to communicate with the people. We will investigate these mathematical curiosities, along with their combinatoric and geometric properties. And we will create our own magic square puzzles that hold the beauty of perfection!
The Mathemagical Forest is in trouble, and we are asked to save it! Through solving mathematical puzzles involving geometry, combinatorics and algebra, we can keep the mathematics alive and well in the forest, and save it from disappearing. Come join our adventures to restore the forest!
Pick a number, any number. I bet I can guess what it is! Let's go out to eat; do you think I can predict what you're going to order? And what do these two things have to do with the leaf patterns of plants? We will discover these things together in this math circle, Hidden Treasures.
Finding big number primes or deciding if we can factorize a huge one are complex tasks. In this circle, we will not only discover amazing properties regarding natural numbers, but also we will implement algorithms in Python to understand better the beautiful world of number theory. No knowledge of Python is required to start the circle, and it is not necessary to install any software (Using a google account, we have access to Google Colab).
There is more to the simple square than meets the eye. What can we learn about these beautiful shapes when we break free from the grid and give them the attention they deserve? Is it possible that this little quadrilateral could challenge everything we think we know about math?
In the land of dragons, the earth is divided into squares parcels of different sizes. There is a secret configuration of square which allows magic to flow through the world. Can we find it?
Allow a pirate, sea horse, and krachen to take you on a mathematical exploration of the nautical world via numbers and algebra.