It is very important that a teacher focus on the wording of the criteria when writing feedback - and endeavor to make written comments as specific as possible. For example, Mod 3 means the remainder when dividing by 3. However, do not write your portfolio in question-answer form. My favourite revision site is — which has a huge amount of great resources — questions graded by level, full video solutions, practice tests, and even exam predictions. Even though there are many patterns that can benoticed such as, the middle terms of odd rows can be found by adding one to the row number,squaring it, and dividing it by two, , a useful pattern must work for all rows and allelements. Furthermore, recognize whether your research can have some continuation in it which it must if it is a good one.
Some manipulations, yeah, but why would we do that? Are the parentheses aligned with your giant fractions? From this example it can be observed that the numerator of each row remains the samethroughout the whole row, supposing that the first and last term in a row is a fraction. With the collection of data that I have acquired, a number of mathematical processes were used to analyze the data: a scatter plot of the data, calculation of the least squares regression line and correlation coefficient. If the equation is accurate, the graphs, , , , , , , , and , should pass through the points of thecorresponding row. Can all fractions with a numerator of 2 be written as 2 Egyptian fractions? The solution to this system of equations return the values , , and. Thorough knowledge and understanding are demonstrated. My other possible proposal is using tennis. A post which looks at the maths behind this particularly troublesome series.
I really hope this helps all of you readers, good luck! I put an anyone can do it wherever I feel that someone can just understand it by directly reading that particular topic and an if you do wherever I think you have to learn it step by step before diving into that particular topic. The solution to this system of equations return the values , , and. Is Bitcoin going to keep rising or crash? I mean, look at the following example. Before I go on forth, I will have to describe a bit of my paper because it will be referenced from time to time in my argument below. If you want to find a newer method or a better equation than the current one you have, Why? On first sight, you might think, well that's pretty nice already.
The data can be proved insufficient and inaccurate for those reasons. Or make a mathematically perfect strategy for capturing any wild Pokemon. How to use modeling to predict booms and busts. A chance to look at some statistics with surprising results. If they're deciding between two, I give them 3 to 4 more days to research and then - in consultation with me - they choose the topic that will be the focus of their Exploration.
You can watch a short video on it 12 — This famous puzzle requires logic and patience. Use Tracker software to create a Sine wave. Thus, you need to demonstrate this level of intuition to ensure you score a full mark in this criterion. The great Indian mathematician discovered some amazing examples of these. However, such process sometimes can be quick depending on a person. The use of regression in polling predictions.
I hope this additional section would give some new insights on what topics you should focus on. Presentation is a key tool in scoring this criterion. What is your best way of surviving the zombie apocalypse? Just calculating capture values wouldn't be sufficient, but manipulating the random number generator and breeding perfect Pokemon might be a little bit closer. There should be a nice flow throughout your portfolio, which is supposed to be one whole essay not divided into sections. A pure demonstration of you appreciating the beauty of maths. Here is a geometric proof. Solve all the clues in a level to make it onto the leaderboard.
Maths is closely connected with astronomy — see how we can work out the distance to the stars. However, note that I am in no position to discourage you from doing any other topics. I personally constantly reminded myself to do this, and believe that it is a major factor as to why I achieved full marks for the personal engagement criteria. It should also be noted that they were not written under the conditions expected and outlined in the guides and in earlier sections of this document. It involves understanding the modulo operation.
The mathematics explored is partially correct. Or perhaps, your equation can be used only for something of a fixed radius, a better one would be of varying radius, hence this can be continued in a new research paper, etc. It is now used as a saying to represent something impossible. All materials on this website are for the exclusive use of teachers and students at subscribing schools for the period of their subscription. Use this resource as a starting point and inspiration for your own personal investigation.
I have supplemented these with some more possible areas for investigation. Maths can be used to both make these codes and break them. Note that a lot of mathematical proofs are by contradiction. How the normal distribution is used to predict elections. Before submitting your paper, please make sure that all mathematics involved is correct. Another limitation is that the table of expected values in the χ2 test has all values less than 5 which reduces its validity. But instead of a person doing it, the sets of equations that are developed are so that a robot can be programmed to do it for you.