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Math Finals 09

 Your Final will be a project that you will be working on throughout the rest of the school year. Described below:

All work has to be done in class, any work done on your project outside of class will result in an automatic F. I will check all edits and changes each day to make sure nothing is done outside of school.

Understanding Quadratics, and the purpose of there existence. The purpose of this project is to understand why the quadratic equation exists. To understand this equation you will be completing a series of tasks that will develop your understanding of this mysterious formula. You will be researching the main contributors of this formula, looking at where the quadratic formula is used in “real life”, making videos, explaining the quadratic formula. Once complete you understand the true power of this battle station, I mean this formula. There will be 5 phases to this project these are all described below.

Phase 1: 20 points: Two Days: You are going to research the main contributors of the quadratic formula, choose 2 of the seven people or groups on the following page to tell me something about them. You need to write two paragraphs with five sentences or more per paragraph per person or group. 1. what century were they alive, 2. where did they go to school 4. what math has been attributed to that person or group, 5. who was this person trained by 6. what famous mathematicians were descendants of this group. Be sure to cite where the information came from, use you own words do not copy and paste. Post all information on your wikispace.

List: Babylonians Brahmagupta Mohammad bin Musa AL-kwarismi Abraham bar Hiyya Ha-Nasi Henry Heaton Yang Hui Liu Yi

Phase 2: 55 points: Three Days: You are going to discover where this is used in “real life” The first part of this phase is you will learn how to maximize area. Answer the following three questions explain your work and reasoning on you wiki, retype each question and solve. Here is a website that will help

http://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? (10 points)

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: http://www.algebralab.org/Word/Word.aspx?file=Algebra_MaxMinProjectiles.xml

Now use the formula and website to solve the following 2 problems. Copy and paste the problems to your wiki and explain them step by step.

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: 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) 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) 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) **Use google to find websites that will assist you in this phase.**

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 : []. 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="3928077"