5th Grade Enriched Math Fraction Menu Project ____________________________________ Project Due Date: ______________________________________ Main Course Problem Choices – Choose one problem to solve and present to a group of your classmates. Make sure all answers are in simplest form! 1. Turkey Diet: A woman is on a diet and goes into a shop to buy some turkey slices. She is given 3 slices which together weigh 1/3 of a pound, but her diet says that she is only allowed to eat 1/4 of a pound per day. How much of the three slices that she bought can she eat today while staying true to her diet? 2. Repair Job: Sam is helping his brother Jason do carpentry and general repair jobs. Jason gave Sam some money for supplies. Sam bought some tools for $20.80, then spent one half of what was left for wood. He spent one third of what was left after that on paint and one third on buckets and brushes, and he returned with $13.20. How much money did Jason give Sam? 3. Lottery Winnings: When her mother won a lottery ticket, Kayla was given 1 1 3 of the prize money. Each of her four brothers received of the remaining money. When Kayla and one of 4 her brothers put their money together, they had $75,000. What was the total amount of the lottery winnings? 4. Music Company: Ben, who owns a music company, decided that he wanted his four best friends to be part owners in the business. He gave shares to his friends in the following way: 1 1 1 Friend 1 gets of the company, Friend 2 gets of the company, Friend 3 gets of the 3 company, Friend 4 gets 1 6 4 5 of the company. What fraction of the company does Ben still own? 5. Egyptian Fractions: Egyptian fractions were typically written in terms of unit fractions, that is, fractions with a numerator of 1. With the exception of a few common, simple fractions like 2/3, non-unit fractions were decomposed into sums of distinct unit fractions. Examples: Write these fractions as Egyptian fractions: a. b. c. 6. Martian Vehicles: Q4T4 is the number one Martian vehicle manufacturer. They make six different forms of transportation for sweeping around the Martian countryside. For every 12 Crater Crawlers they make 4 Canal Cruisers; 3/4 the number of Dusty Dippers as Crawlers; 4 1/2 times as many Ice Cap Crunchers as Cruisers; one-half as many Rocket Rollers as Crunchers; and 2 Rotating Ribbits for every 4 Crawlers. If in one year Q4T4 produced 252 Ice Cap Crunchers, how many vehicles did they make altogether? 7. Jellybean Profit: Megan buys jellybeans at 5 for 3 cents, and sells them at 6 for 5 cents. How many must she sell in order to make a profit of $3.50? Fraction Menu Project Requirements: Project to Share with Teacher – Choices: Keynote presentation, Pages poster, or Educreations presentation All Projects must be correctly NAMED: last name, first initial, team, problem# For example: wadej5-1#7 First slide or beginning of project must include your name and the problem title Must be creative, colorful, neat, organized, and easy to read Must include the complete problem and the answer (in simplest form!) in a complete sentence Must include number sentence(s) or equation(s) Must show all the work used to get your answer, including addition, subtraction, multiplication, or division work, equations, diagrams, charts, renaming, and guesses. (A calculator may only be used to check your work.) Must include a written explanation of the strategies you used and how you solved the problem, including the resources you used and how they were of help to you 5th Grade Enriched Math Fraction Menu Dessert Problems Dessert Problem Choices – After completing one main course menu project, choose a dessert problem to solve. If correctly solved, and presented with one of the project choices above, you can earn 5 challenge points or an Einstein! 1. Luke’s Rat: Luke wanted to weigh his pet rat on a balance. He balanced his rat with weights of 1/8 pound, 1/4 pound, and 1/2 pound. How many ounces does Luke’s pet rat weigh? 2. Generous Jan: Jan gave away 1/2 of her money on Monday. She then gave away 1/3 of what was left on Tuesday. On Wednesday, she spent 1/4 of her remaining money. What fraction of her original money does she have left? 3. Changed Recipe: While Eric was making some cookies, he put 5 cups of flour into the mixing bowl instead of the 4 cups the recipe called for. Now he has to change the other amounts in the recipe. What are the new amounts of sugar and oats that Eric must use? Original Recipe: 4 c flour, 1 c sugar, 2 c oats Changed Recipe: 5 c flour, ? c sugar, ? c oats 4. Canoe Trip Crackers: Christine has two boxes of crackers that she will share evenly with six friends during a 7-day canoe trip (Seven people altogether). What fraction of a box will each person eat per day?
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