Ezra's+page

**//Phase 1//**

 Babylonians-

1. What century were they alive? The Babylonians colonized in 1830 BC.

2. Where did they go to school? The Babylonians went to school in a Small town in Babylon (Modern day Iraq).

3. What math has been attributed to that person or group? Here is a formula the Babylonians contributed to the history of mathematics A/B=A*1/B this is a **//Gaussian//** Formula**//.//**

4. Who was this person trained by? They discovered it themselves.

5. What famous mathematicians were descendants of this group? One of Babylon's most famous kings was Hammurabi who ruled fo 43 years.

The Babylonians lived in 1830's BC and were located in Babylon which is now modern day Iraq. One of the most famous of all Babylonian's was Hammurabi who ruled all of Babylon for 43 years was only 55 years old when he died of what is to believe "old age". The Babylonians did not actually have any training in the field of math precisely because they have discovered it themselves. The mathematical theories were then passed on to the Akkadians and then passed on again to the Egyptians. By now the whole world knows the Babylonian theory's. One of the most famous theory's in the world was discovered by the Babylonians we now know it as the Pythagorean Theorem. And also another formula that was created by the Babylonians was the Gaussian Formula which is A/B=A*1/B.

 Brahmagupta- //  1. What century were they alive? Brahmagupta was born in 598 ce in Bhinmal city, Rajasthan in india.

2. Where did they go to school? Astronomical Observatory in Ujjain.

4. What math has been attributed by that person or group? Elementary algebra is the branch that deals with solving for the operands of arithmeticequations. Modern or abstract algebra has it's origins as an abstraction of elementary algebra.

5. Who was this person trained by? Brahmagupta was trained by his father Jisnugupta that wrote about mathematics.

6. What was  Brahmagupta also known as? He was also known as the first person ever to use negative numbers. //

//  Brahmagupta was a mathematician but he was also the last and most accomplished of all of the ancient Indian astronomers. In 628 AD, Brahmagupta was the first person to use the mathematical concept of negative numbers. It was Brahmagupta who developed the rules for addition, subtraction, multiplication and division using negative numbers. Brahmagupta's two best creations were called, Khandakhadyaka and Brahmasiddhanta. The Brahmasiddhanta was written in 628 AD. It disagreed with some of the Hindu findings on astronomy which had been created on a scientific basis in 476 AD. It had twenty-five chapters, twenty-three dealt with astronomy. The other two chapters dealt with mathematical concepts like arithmetic progression, quadratic equations and geometrical theorems associated with surface and volume. //

**//Phase 2//**

1. Suppose a farmer has 2700 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 300 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?

3. A farmer wishes to enclose a rectangular region bordering a river using 2300 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?

//**Part two of Phase 2**// <span style="color: rgb(0, 0, 0); font-size: 21px; line-height: 32px;"> 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. <span style="color: rgb(10, 14, 209); font-size: 26px; line-height: 39px;">

<span style="font-size: 210%; color: rgb(7, 18, 197);"> //**Phase 3 X^2-11X+30 <span style="color: rgb(0, 0, 0); font-size: 19px; font-style: normal; font-weight: normal; line-height: 27px;">“solved by graphing”

“solved by factoring” (x-6)=0 x=6 (x-5)=0 x=5

"solved by using the Quadratic formula" x=5 x=6 **//

<span style="font-size: 210%; color: rgb(5, 12, 204);"> //**Phase 4**//

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