Systems of Equations Project

“ SYSTEMS OF EQUATIONS” PROJECT DUE DATE: Thursday Febuary 7, 2013 Each word problem of this project can be solved using guess and check. However, we are completing a unit on solving systems of equations using one of three methods: graphing, substitution, and elimination. (can not use the matrix function to solve these) When working on this project, you must first set up a system of equations (let x=…, let y=…), choosing your own variables to represent what is unknown. You then are to set up two equations that will represent the data in the word problem. Lastly, you will solve the system using one of three methods above (you get to choose a method of your preference!) Each problem must be done on a separate sheet of paper with the problem written on top and all the work completed below. You will also have to show how you check your solution! A paragraph explaining how you arrived at your answer should be included on each page.

The set up of a project should be as follows: Page 1-Cover including title of project, name, and period. Be creative with the illustration! Page 2-Problem #1 Page 3-Problem #2 Page 4-Problem #3 Page 5-Rubric

PROBLEM #1: Farmer Ben has only ducks and cows. He can’t remember how many of each he has. Well, he doesn’t need to remember because he knows he has 22 animals and that 22 is also his age. He also knows that the animals have a total of 56 legs, because 56 is also his father’s age. Assuming that each animal has all legs intact and no more, how many of each animal does Farmer Ben have?

PROBLEM #2: A group of 148 people is spending five days at a summer camp. The cook ordered 12 pounds of food for each adult and 9 pounds of food for each child. A total of 1, 410 pounds of food was ordered. What is the total number of adults and total number of children in the group?

PROBLEM #3: The owner of a movie theater was counting the money from one day’s ticket sales. He knew that a total of 150 tickets were sold. Adult tickets cost $7.50 each and children’s ticket’s cost $4.75 each. If the total receipts for the day were $891.25, how many of each kind of ticket were sold?

SYSTEMS OF EQUATIONS” PROJECT Scoring RUBRIC

CATEGORY A+/A B+/B C/C+ D (90-100%) (80-89%) (70-79%) (65-69%) Explanation Explanation is Explanation is Explanation is a Explanation is Detailed and Clear little difficult to difficult to Clear understand, but understand and is includes critical missing several components components or was not included Strategy and Typically uses an Typically uses an Sometimes uses Rarely uses an Procedures efficient and effective strategy an effective effective strategy effective strategy to solve strategy to solve to solve problems to solve problems problems, but does problems not do it consistently. Math Terminology Correct Correct Correct There is a little And Notation. terminology and terminology and terminology and use, or a lot of Math Vocabulary notation are notation are notation are used, inappropriate use, always used , usually used , but it is sometimes of terminology and and Symbols. making it easy to making it fairly not easy to notation understand what easy to understand what was done understand what was done was done Mathematical 90-100% of the Almost all (80- Most (70- More than 70% of Errors steps and 89%) of the 79%)of the steps the steps and solutions have no steps and and solutions have solutions have Mathematical solutions have no no Mathematical Mathematical errors Mathematical errors Errors errors Completion All problems are All but one All but two Several problems completed problems are problems are are not completed completed completed Neatness and The work is The work is The work is The work appears Organization presented in presented in neat presented in an sloppy and neat, clear, and organized organized fashion unorganized. It is organized fashion that is but may be hard hard to know what fashion that is usually easy to to read at all times information goes easy to read read together. Directions Followed all of Followed most of Followed some of Followed hardly the directions the directions the directions any or none of the given given given directions given