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Name:_________________ Class:_______ Date______ Do Now/ Exit Slip From Yesterday Stephen wants to paint pictures for his friends and family for holiday gifts. Stephen has 6 cans of paint. How many pictures can Stephen paint if each picture takes 3/5 of a can of paint to create. 1.) Show your work using a diagram. 2.) Answer:_________ 3.) Express this situation as a division problem (with your answer) Name:_________________ Class:_______ Date______ Name:_________________ Class:_______ Date______ SWBAT divide fractions by whole numbers using visual models Class Notes 1.) How can we change 3/5 into a decimal? 2.) Why does that make sense? 3.) 2/3 can be though of as _____________________________ 4.) Give me a situation in which 2 3 would be an appropriate interpretation of a fraction. Reciprocals: Reciprocals are two fractions that multiply to get 1. Teacher Examples Student Example 1 Mixed Numbers: What is the reciprocal of 4 1/3? Student Example 2 Name:_________________ Class:_______ Date______ Bachelors Practice Helpful Hints: Remember that drawing a diagram is often very helpful Remember to label your answer so that we know what that number you get is telling us about the situation What are the numbers (quantities) given in the problem? Remember to label each so you know what the number means. What do you need to find? What does the answer tell you? Directions: Use written explanations OR diagrams to show your reasoning for each part. Write a number sentence showing your calcuation(s). Part A: Ms. Li brings peanuts to be shared equally by members of groups winning each game. How much of a pound of peanuts will each student get in the following situations? 1.) Four students share ½ pound of peanuts. 2.) Three students share ¼ pound of peanuts. 3.) Two students share 1/5 pound of peanuts. Name:_________________ Class:_______ Date______ Part B: A popcorn stores donates different sized boxes of popcorn for use as prizes at a team competition. How much popcorn does each team member get in the given situations? 1.) A two person team shares ¾ pound box of popcorn equally. 2.) A four person team shares a 7/8 pound box of popcorn equally 3.) A four person team shares a 1 ½ pound box of popcorn equally. (Remember 1 ½ = 3/2) Part C: Find each quotient and explain which model you used. 1.) ½ 4 2.) 3/2 2 3.) 2/5 3 4.) 4/5 4 Part D: What algorithm makes sense for dividing any fraction by any whole number? Name:_________________ Class:_______ Date______ Name:_________________ Class:_______ Date______ Dividing Fractions By Whole Numbers Homework Must show all work and answer all problems to get full credit. Use PENCIL!!! Ivan is in charge of giving prizes to teams at a mathematics competition. With each prize, he also wants to give each member of the team an equal amount of mints. How much will each team get if Ivan has the given amounts of mints? Use diagrams to show work for each problem. 1.) ½ pound of mints for 8 students 2.) ¼ pound of mints for 3 students 3.) 4/5 pound of mints for 10 students 4.) 1 ½ pounds of mints for 2 students Review: Simplify the expression