Rachel's+page

Rachel [=

=
One of the people who is responsible for the cause of stress and despair of millions of teens around the world. Why is this? Yang Hui was one of the people who invented the '[|Yang Hui's Triangle] '. Yang was a Chinese mathmetician, born in the thirteenth century in [|Hangzhou,] during the late Song Dynesty. He was taught math by Liu I. Fellow mathematicians alive at the time were [|Qin Jiushao] and [|Li Zhi.]He is known for writing astounding mathematical manual's(texts). __[|Zhu Shijie]__ came about around the time Yang's first writings were coming out. Hui died around 1298. ======

(http://www.gap-system.org/~history/Biographies/Yang_Hui.html)



=
Brahmagupta was born in 598 around Ujjain, India. He is known for writing critical works on astronomy and mathematics. He wrote The Opening of the Universe in 628. Brahmagupta became head of astronomical observatory in Ujjain. Famous mathematicians like [|Varahamihira] had worked there and built up the observatory. Brahmagupta had an advanced understanding of the number systems. He wrote his second book in, Khandakhadyaka, in 665 when he was 67 years old. He died in 670 in India.=====

Phase 2
[|h][|ttp://www.algebralab.org/Word/Word.aspx?file=Algebra_MaxMinRectangularAreas.xml]

1. Suppose a farmer has /come ask me/ yards of fencing to enclose a rectangular field. What is the largest area that the farmer can enclose?

2. The owner of a ranch decides to enclose a rectangular region with /come ask me/ feet of fencing. To help the fencing cover more land, he plans to use one side of his barn as part of the enclosed region. What is the maximum area the rancher can enclose? (10 points)

3. A farmer wishes to enclose a rectangular region bordering a river using /come ask me/ feet of fencing. He wants to divide the region into two equal parts using some of the fence material. What is the maximum area that can be enclosed with the fencing? (10 points)



Part two of Phase 2 is to solve the problems that involve projectile in motion. The formula you will be using to solve these problems is below:

s(t) = –gt2 + v0t + h0

Describe what the letters g, t, v and h represent. (5 points)

Here is a website that will help:

[]

g=½(-32 ft/sec2)-16 ft/sec2.


t represents time in seconds after the projectile is released


vo represents initial velocity


h represents height
1. Some fireworks are fired vertically into the air from the ground at an initial velocity of /come ask me/ feet per second. Find the highest point reached by the projectile just as it explodes. 2. A ball is thrown vertically upward with an initial velocity of /come ask me/feet per second. If the ball started from a height of 10 feet off the ground, determine the time it will take for the ball to hit the ground.

Phase 3
You will be given a quadratic Equation; you will come and get your equation from me when you reach this phase. 1. You need to explain what does it mean to say “ solve by graphing” once you have this written on your wiki you will solve the quadratic by graphing.

__//(The basic idea behind solving by graphing is that, since the "solutions" to "//__ __//ax////2// //+ bx + c = 0//__ __//" are the//__ __//x//__ __//-//__ [|//intercepts//]  __//of "//__ __//y= ax////2// //+ bx + c//__ __//", you can look at the//__ __//x//__ __//-intercepts of the graph to find the solutions to the equation.)//__

Step 1) Vertex Step 2) Table Step 3) Graphing 2. Solve the same equation by factoring. What do the solutions represent after factoring a quadratic (10 points) 3. Last you need to explain what it means to say “solve the equation using the quadratic formula.” Put your explanation on your wiki and then take your equation and use the quadratic formula to solve it. Show the step-by-step process in solving this, on your wiki. (10 points)