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Can You Give Me Examples Of Math Investigatory Project Involving Shapes

Can you give me examples of Math Investigatory Project involving shapes?

Select a set of regular polygons where the disctance from the center of the plolygon to the vertices is the same.

Let this distance be 1.

Let n be the number of sides.

Find the area of the polygons. See that as n tends to infinity that the area tends to pi.

Find the perimeters of the polygones. See that as n tends to infinity the perimeter tends to 2pi.

Hope this helps

What is a good and easy topic for a biology investigatory project in the class 12 CBSE?

First of all, you need to decide what kind of project you want to make. Some schools allow you to make purely theoretical projects, like gathering information about a particular topic (HIV AIDS, Cancer, STDs, etc), but my school encouraged practical knowledge and we were asked to do something a little more hands on.I personally did mine on a very basic pathology practical: culturing a microbe (E. coli), and then checking what antibiotics inhibited its growth with the help of an antibiotic disc. I presented my results in a tabular format, even constructing simple graphs. Simple, precise, and something new for a 12th grader to do.Other simple but effective examples for investigatory projects can include the following:Studying the phyllotaxy of commonly available plants. You could stick samples and make it detailed and interesting.Selecting a small sample size, and finding the frequency of a particular blood group. You get the reagents in small eyedrops like containers, and you can get the results instantly. Stick pictures of results of different blood groups, and express your result in a clean, tabular format.Use quadrats and find the population, species frequency, etc, associated with different areas. This is like that one ecology practical you have in your journal.Construct simple pedigrees by asking two to three families in your acquaintance, and attempt to trace the genotypes and phenotypes. This is a novel idea, and would be quite fun if you enjoy genetics.If you have access to good microscopes, and have enough time, perhaps you could try studying the different germination times for pollen grains of different plants. You could include your rough work and the results you obtained, including pictures of pollen grain structure, and the germinated pollen tube.Another fun experiment could be studying the different times it takes for the DNA to be extracted from different fruits/vegetables. We did the experiment with lots of fruits and vegetables, and it was a very fun affair!Or, if you want to go the non hands on route, you could always go with the theoretical aspect. A word of advice: the external examiners have been doing their work for years, and have always seen the same type of experiments, with little innovation to them. While it is understandable that one would not like to put much time to their project, what with boards, it never hurts to put in some extra effort!

What are good mathematics projects for high school students aged 17-18?

Different project ideas for different classes:Algebra:Have students apply the concepts of algebra to financial institutions, stocks and bonds.Have students apply matrix algebra to the workplace, have them figure out how to incorporate matrices to create an efficient payment/allocation system.Trigonometry: Have students determine the height of different structures of their choosing using an angle gun. Their task will be to find a method, then apply it with real life situations.Assign each student (or group of students) a particular trigonometric identity, then have them find a use for it in everyday life and deliver a presentation about it to the classCalculusHave each student (or group of students) redesign the Coke bottle, but this time have them create the bottle as a solid of revolution. Then, have them find the area, volume, and talk about their process.Various optimization projects you could do, for example: finding the can that maximizes volume while minimizing surface area (and actually constructing the can).Have them derive the equation for a torus (or other shapes) with a detailed analysis.Discrete MathematicsHave them design an algorithm solving a particular problem (traveling salesman, for instance) and have them determine the order of the algorithm experimentally and theoretically.Multivariable CalculusCreate a project where students apply topics in multivariable calculus to physics problems. For example, have them determine the direction a ball will roll when placed on a hill via gradients.

What are some good math topics for exploration/investigations?

Many of the open problems in Math require a deep understanding of Mathematical principles and some guidance. If that's your interest, go to the nearest university, find an interesting professor, and  convince him to mentor you.If you want to do some self guided exploration, then consider combinations. There are many questions you can explore, but from experience with students from High School to college level, Two Person Impartial Games are a great source of accessible explorations, which not only involve math, but can be extended to use computers and introduce some programming fundamentals, not to mention being a lot of fun. There is a large community studying games and much is published to the internet. Look up Nim at Wikipedia for a start. Or here's an interesting and unsolved question. The game of Chomp can easily be shown to be a win for the first player, but no winning strategy has ever been found. Chomp couldn't be simpler, but I've spent many hours working on it to no avail.

GEOMETRy PROjECt QUEStiON! Should be easy if your good at math. much thanks ;]]?

1] Golf balls are packaged in a box the shape of a square based rectangular prism. There are 3 golf balls in each box and each ball has a diameter of 1.75”. The base of the box is 1.75” by 1.75” and the height of the box is 5.5 “. A marketing representative convinced a manufacturer that they could save money and gain product recognition by creating a cylindrical package. He claimed they would use less material to manufacture a cylindrical package. Establish whether or not this claim is true.

2] Oatmeal A is packaged in box thats a rectangular based prism. The dimensions of box r 3.5” by 3.5” by 11.5”& Oatmeal brand B is packaged in a cylindrical box w/ base diameter of 3.5 inches & height of 11.5”. The ad agency for Brand B developed marketing campaign that Showed the 2 brands side by side w/ their claim that Brand B actually had more oatmeal 'cause the height of the oatmeal in their box was 11”, clearly higher than Brand A w/ oatmeal to a height of 10”. True or false?

On which factor does the resistance of wire depend on? Explain.

Generally all are saying that resistance of a wire is depend upon three factors called1. Resistivity2. Length and3. Area and also in temerature.But there is also another factor which resistance of the wire also depends that is frequency of the supply . Yes , when we increase the frequency of the supply there would be an increase in the temperature and the increase in temperature increases the resistance of the wire.So frequency of the supply also plays an important role to determine the resistance of the wireThank you

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