100% Upvoted. 40) Stellar Numbers – This is an excellent example of a pattern  sequence investigation. Using the SIR model to understand epidemics. 37) Modelling a Nuclear War. Surprisingly maths can help! We have solved the Königsberg Designed for classroom use, the flexible three-ring binder format allows teachers to add notes and other reference materials. We can use a Poisson model and some Excel expertise to predict the outcome of sports matches – a technique used by gambling firms. 1) The Van Eck Sequence – The Van Eck Sequence is a sequence that we still don’t fully understand – we can use programing to help! 15) Modelling epidemics/spread of a virus – what is the mathematics behind understanding how epidemics occur? 2) Solving maths problems using computers – computers are really useful in solving mathematical problems. 2) Hexaflexagons: These are origami style shapes that through folding can reveal extra faces. Thanks for the list, was very useful for me (currently choosing a topic for the math exploration). With Bridges, Leander students’ confidence in math is growing as they learn multiple strategies for problem solving. Editor's note: In this series of blog posts, we highlight educators in the field who are using remote learning resources intentionally to build classroom community, collaboration, and student sense-making. 7) Quantum Mechanics – a statistical universe? Explore the maths behind code making and breaking. The twin prime conjecture states that there are infinitely many consecutive primes ( eg. 22) Modelling Zombies – How do zombies spread? The visual models in Bridges are one of its huge strengths! = -1/12 ? Try these (remember: draw all the lines, but never go over any line more than once, and don't remove your pencil from the paper.). 24) Are you psychic? hide. I am so grateful to finally have a curriculum that digs deep into the concepts! In some geometries triangles add up to more than 180 degrees, in others less than 180 degrees. 14) Methods for solving differential equations – Differential equations are amazingly powerful at modelling real life – from population growth to to pendulum motion. A clearly articulated PK–5 curriculum offering a unique blend of problem solving and skill building. ( Log Out /  2) Logistic function and constrained growth. town Find out! The art and science of constructing these structures rely heavily on the mathematics and consequently the physics of stress and load. This two-day summer workshop brings our workshop leaders to your district. While the content of student books is required, the purchase of pre-printed consumable copies is optional. 34) The Rise of Bitcoin. You can edit the text in this area, and change where the contact form on the right submits to, by entering edit mode using the modes on the bottom right. This 12-week online course is offered in both fall and winter. Bridges in Mathematics is a comprehensive PK–5 curriculum that equips teachers to fully implement the Common Core State Standards for Mathematics in a manner that is rigorous, coherent, engaging, and accessible to all learners. The following are examples of HL/SL IAs based on the current mark scheme with grader comments. bridge question just like Euler did nearly 300 years ago! You are a graduate structural engineer working for a major consultancy company that is an acknowledged world-leader in its field. It is designed to support math coaches and instructional leaders working towards increasing student achievement and teacher content knowledge during a Bridges in Mathematics implementation. 6) Bullet projectile motion experiment – using Tracker software to model the motion of a bullet. Yes, it is called a "Graph"... but it is NOT this kind of graph: They are both called "graphs". Change ), You are commenting using your Facebook account. Euler spent much Are there functions which plot any polygons? Use computer graphing to investigate. Bridges Intervention Open Enrollment Workshop, Using Share Codes with MLC Apps in a Remote Setting. 7) Sierpinksi triangle: a fractal design that continues forever. Please note that difference between HL and SL IAs is the level of math expected of students which is reflected in slightly different rubrics and consequently the HL and SL grades differ slightly. Bridges really helped me pull all of the pieces together in terms of content, delivery, and motivation. This thread is archived. I also like to go up to the board and share and explain my thinking! Unleash your inner spy! Card examples Image Image Image Image Image Image Image Image. I got pulled aside by one teacher who was so excited because the students in her class who had used Bridges the previous year were noticeably better math thinkers. best . 23) Modelling music with sine waves – how we can understand different notes by sine waves of different frequencies. imagine the lines are bridges. This list is for SL and HL students (exam 2020) and for Applications and Analysis students (exam 2021). Includes a wide variety of age-appropriate assessments at each grade level, ranging from interviews, observation tips, and short performance tasks for the youngest students to unit pre- and post-assessments, mid-unit checkpoints, and more extensive performance tasks for Grades 2 and up. They are discovering how to do something.”. 4) Genetics – Look at the mathematics behind genetic inheritance and natural selection. Password *. save. Useful websites for use in the exploration, A selection of detailed exploration ideas. The old town of Königsberg has seven bridges: Can you take a walk through the town, visiting each part of the town and crossing each bridge only once? After viewing our curriculum units, please take a few minutes to help us understand how the units, which were created by public school teachers, may be useful to others. Like all that coursework you actually have to do. 12) Towers of Hanoi puzzle – This famous puzzle requires logic and patience. 8) Modelling happiness – how understanding utility value can make you happier. A clearly articulated PK–5 curriculum offering a unique blend of problem solving and skill building. 8) Finding prime numbers: The search for prime numbers and the twin prime conjecture are some of the most important problems in mathematics. 6) Handshake problem: With n people in a room, how many handshakes are required so that everyone shakes hands with everyone else? 1) Modular arithmetic – This technique is used throughout Number Theory. Bridges promotes a deeper level of understanding and encourages higher order thinking. 11) Mersenne primes: These are primes that can be written as 2^n -1. They'll leave with the knowledge and materials necessary to offer these workshops in their own district. graph has four vertices of odd degree. share. Use Tracker software to create a Sine wave. Bridges is engaging DeSoto Parish students in math and teaching them to become creative problem solvers. How to use graphic software to make art from equations. 9) Designing bridges – Mathematics is essential for engineers such as bridge builders – investigate how to design structures that carry weight without collapse. The addition of the Number Rack to Bridges provides a wonderful tool for engaging learners with the tens-frame model. For the first time in my 11 years of teaching I feel my class truly has a good grasp of fractions. Some of the Stats topics seem quite bizarre and wholly unmathematical in nature. Investigate how binary is used – link to codes and computing. Bridges is everything I have wanted in a program. A good use of your calculus skills. 39)Modeling hours of daylight – using Desmos to plot the changing hours of daylight in different countries. 15) Julia Sets and Mandelbrot Sets – We can use complex numbers to create beautiful patterns of infinitely repeating fractals. Grade 1 & 2 teacher — San Luis Obispo, CA. How can we find the area of any polygon? I can look at the results and know my students really do understand multiplication. How mathematical formations were used to fight wars. Use the binomial distribution to test your ESP abilities. Also look at the finances behind Premier league teams. Custom game pieces and carefully selected manipulatives promote student engagement. New with the second edition, the Bridges Educator Site provides 24/7 online access and always up-to-date content. What is the geometric shape of soap bubbles? You got it: ANYONE can ace the Math IA if they put in adequate effort and use this eBook as a template. But now I hope we do math all day long because I love it so much. How strange things happen when we start to manipulate divergent series. Explore this famous number theory puzzle. Straight lines are not straight, parallel lines meet and angles in a triangle don’t add up to 180 degrees. 37) Mathematical proof and paradox – a good opportunity to explore some methods of proof and to show how logical errors occur. Why do magic squares work? Prior to the workshop, we work with you to determine these needs. Can we find a function that plots a square? ( Log Out /  ( Log Out /  Visit the new Math at Home site for activities, games, and practice pages! 30) Can you solve Oxford University’s Interview Question?. 3) Mathematical methods in economics – maths is essential in both business and economics – explore some economics based maths problems.

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