Saturday, May 3, 2014

With multiple ways of thinking about quadratic functions and their multitudes of shapes, I'd like to talk about something similar to the soccer ball idea. I like to think about hitting a golf ball high into the sky when we begin talking in class about these large arcs. The sad part is that the flight path of a golf ball is not in the shape of a parabola nor does it stay in one plane. I would like to discuss the actual flight of a golf ball from a mathematical stand point. Looking on from the side, a ball flies in a parabola like path. it takes off and goes up and up and up until it reaches a point where the spinning of the ball ca no longer keep the ball rising. the spin rate becomes too low to keep the ball aloft. it then takes a much steeper descent downward towards the ground. In a sense, from the side, a golf ball seems to fly in the shape of a lop-sided parabola. The next issue is that because of the spinning of the ball, it can also move to the third dimension. Looking from behind where the ball takes off, the ball can move left and right, too. In a sense, you could hit a ball that is like a lop-sided parabola from the side, but now it can tilt away from you or towards you! say you had an x-y-z coordinate plane. then you would be able to graph the flight of a golf ball because of its dimensional properties. So, i guess i just wanted to explore that idea. that to graph the flight of a golf ball, with spin, you would need a three dimensional plane.

Sunday, April 13, 2014

For this blog entry id like to talk about why only regular polygons can tessellate. From what i have deduced by reasoning quickly in my head, its because of the nature of a regular polygon. It has the same number of sides as it does angles. Also, when you look at one of the angles on a polygon, there is an added total of 360* with the interior and exterior angle. If you take the interior angle measure of, say a hexagon, and multiply it by 3, you get 360. this is also, in a way the interior angle measure of a circle is 360* too. I think the reason that these certain polygons can tessellate is because their interior angle measures evenly split 360*. For example, a square and a hexagon. Anything with an interior measure angle that goes evenly into 360 will tessellate according to my hypothesis.

Tuesday, January 14, 2014

-What kind of tree could a maths teacher climb? = Geometry -Have you heard about the mathematical plant? It has square roots -Talking sheepdog gets all the sheep in the pen for his farmer. He comes back and says ‘All 40 accounted for.’ Farmer says, ‘I’ve only got 36!’ Sheepdog replies, ‘I know, but I rounded them up.' -Q: What did one math book say to the other? A: Don't bother me I've got my own problems! -Teacher: Why are you doing your multiplication on the floor? Student: You told me not to use tables. -TEACHER: "What's 2n plus 2n?" STUDENT: "I don't know, it's 4n to me!" -Some say the pope is the greatest cardinal. But others insist this cannot be so, as every pope has a successor. -Q. What do you call a crushed angle? A. A rectangle! -Q. Why is a dog with a bad foot like adding 6 and 7? A. Because he puts down three and carries the one. -If it is cold, go and stand in the corner, because it is 90 degrees there.