Math sl ia topics. What is a good topic for an internal assessment for IB math studies? 2019-12-17

Math IA — IB Survivors

For a fixed volume the minimum surface area is a sphere, which is why soap bubbles will form spheres where possible. The Van Eck Sequence This is a nice sequence as discussed in the Numberphile video above. Just copy and paste the below code and see what happens. However it's ok if you'd like to change. Look at some of the maths and psychology behind winning this game. If you pick a somewhat overdone topic and apply it to something that's uniquely you, you're gonna be fine. The axis which represents the number of pixels is also shown to keep a similar shape when the axis changes.

IB Maths Resources from British International School Phuket

The case can be shown to work for all triangles, and then can be extended to all polygons by first splitting them into triangles and following the same approach. Another important parameter is R 0, this is defined as how many people an infectious person will pass on their infection to in a totally susceptible population. I'm writing them with both teachers and students in mind. Can you find the pattern behind it? This is the sum of the first n square numbers. If you need any further guidance, feel free to contact me. This also has some harder exams for those students aiming for 6s and 7s and the section takes you to full video worked solutions to every question on every past paper — and you can also get a prediction exam for the upcoming year.

How to score level 7 in Math IA/ Exploration in 2 hours?

Maybe you can try approaching the subject using 2D or 3D vectors or look into celestial positioning systems? E3—There is little evidence of understanding. This will lead students through an investigation on any topic on the syllabus. In theory, a perfect image should have a bell curve or a normal distribution. A couple of typing errors does not detract from the flow. You can run all of these with a Python editor such as.

What is a good topic for an internal assessment for IB math studies?

Thus, doubling the radius is identically equivalent to saying 2², which is 4. I would suggest you do the same as you'll get more help with a topic that your teacher is comfortable with and they'll be able to help you more. D3—Considers other concentration time graphs. The article was in the Nov. You can use online resources to help you, but make sure the way you set it out and the variables and situations you describe are original. Can all fractions with a numerator of 2 be written as 2 Egyptian fractions? Error on p11 and p13. This does indeed confirm an area of 1.

IB Maths HL & SL / Analysis: Exploration (IA) Ideas

Report violations of this policy to the Assistant Superintendent for Administrative Services, 703-228-6008, or the Assistant Superintendent for Human Resources, 703-228-6110. As a photography enthusiast, I wondered about how a camera is able to turn a live scene and freeze it into an image. A nice starting point for students good at coding — who want to put these skills to the test mathematically. The axis represents the number of pixels. Math Internal Assessment Investigating the Relationship between the Aperture of a Camera and a Geometric Sequence 1 Introduction The aim of this investigation is to find the relationship between the aperture of a camera and a geometric sequence. This program allows you to see all 3 digit narcissistic numbers. Decreasing the F-stop number by one stop will double the brightness of an image because it will increase the diameter of the aperture and in turn increase the area of the aperture letting double the amount of light into the lens and into the sensor.

IB Maths Resources from British International School Phuket

In a digital image, every single pixel of an image uses 8 bits of memory to store each value. This is a puzzle that was posed over 1500 years ago by a Chinese mathematician. We then choose a value of c which is also a complex number and see what happens when we follow the iterative process. Some of the R 0values for different diseases are shown above. It can be said that the relationship between the diameter and the F-stop number is inversely proportional to each other. The Mandelbrot Set can be thought of as an infinitely large picture — which contains fractal patterns no matter how far you enlarge it.

Any ideas for some not

An interesting insight into the mathematical field of Number Theory. The model fails to actually account for death, birth or immigration as it models a closed population, so you more or less need to infer the death total from other data you do have. Also remember to cite whatever resources you use. Choose your own pattern investigation for the exploration. These webpages may contain links to websites that are outside of the Arlington Public Schools network. The general case for finding areas of polygons The general formula for the area of an n-sided polygon is given above. It could be a nice exploration task to take this further and to explore how many different methods there are to find the area of polygons — and compare their ease of use, level of mathematics required and aesthetic appeal.

What is a good topic for an internal assessment for IB math studies?

Am I supposed to carry the equation out on real life situations, or come up with a new way to present it? We want the area of the triangle 4 , and we can see that this will be equivalent to the area of the rectangle minus the area of the 3 triangles 1 2 3. Do not do anything related to stats unless you're absolutely certain you know everything there is. E0—There is no use of mathematics. For example, starting with 10: 10, 5, 16, 8, 4, 2, 1, 4, 2, 1… we can see that this sequence loops into an infinitely repeating 4,2,1 sequence. Initial F-stop number 1 stop from 2 stops from 3 stops from n stops from Therefore, we can then use the formula to find the next aperture numbers.