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Phase 1

Brahmagupta was born in 598 ce in a Bhinmal city in a state in a state in rajas-than in the northwest of India.He was head of the astronomical observatory in Ujjain. He was influenced by his father who wrote a book on mathematics. His father taught him most of his mathematics when he was young. The other person in his group that became famous with him was Varahamibria. []

Brahmagupta used his math to find a area of cyclic quadrilateral to find A. He discovered the solution for linear equations. He also found two equivalent solutions for the general quadratic equation.He also had a series that gives the sum of squares and cubes. Brahmagupta went on and to give a recurrence relation for generating solutions to certain instances. [[[]]]

Abraham Bar Hiyya was born in 1070 in barcelona, Spain and then moved to provence, France and died 1136. He was a spanish jewish Mathematician, astronomer and a philosopher. His father was a prince when he was born. He had a partner name Abraham Ezra who was good in science just like Abraham Bar Hiyya. He was also a translator in philosophy to show people how to use the quadratic equation.[] One of his descendants was Abraham Ezra and he did astronomy with him. He did the quadratic equation as a philosopher and liked to teacher other people this formula. He was also a great moral philosopher because he knew the language. Abraham ezra was one of the most important figures in the scientific movements. Abraham bar hiyya was a great mathematician and we use this formula today in modern times. []

phase 2 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? (10 points)

. 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 2 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. (10 points)

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. (10 points)

phase 3

Phase 3: Three Days: 30 points 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. (10 points) You can look at the x-intecepts of the graph to find the solutions to the equation.

2. You need to explain what it means to say “solve the quadratic by factoring.” Once you have this written on your wiki you will then solve the same equation by factoring. What do the solutions represent after factoring a quadratic (10 points) for factoring you need to find the two terms that don't add up to the constant number.

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)

 phase 4 Phase 4: Three Days: 40 points The final phase of this project requires you to film yourself working out a quadratic using the quadratic formula. You can choose one of two ways to do this 1. you can video tape yourself at the board working out a quadratic using the quadratic formula and explaining step by step how to solve your problem. Or 2. You can use the website : [|http://www.screentoaster.com]. Look up quadratics watch the one I did, you will be given your own to solve. You can use the tablets in the classroom to do this.

You must speak clearly and make sense when explaining, your problem. Needs to be less than 7 minutes. When done you will upload your video to teachertube, then embed your video to your wiki . media type="custom" key="3944799"

