UMI Summer Institute July 13, 2015

Problem Solving

Problem Solving – Share My Candy Common Core Standard 5.NF.B7.C Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share ½ lb. of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins? 6.NS.A.1 Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to interpret the problem.

Problem Solving – Share My Candy Jason has 3 ½ candy bars. He wants to share the candy bars with his friends. He gives as many of his friends as possible ¾ of a candy bar. He keeps the rest for himself. PART A: To how many friends can he give ¾ of a candy bar? Show your work and write your answer in a complete sentence. PART B: How much of the candy bar will Jason keep for himself? Show your work and write your answer in a complete sentence.

Problem Solving – Share My Candy What does one need to know before being able to complete this problem? Vocabulary… part, whole, product, quotient, partial number, remainder, solution, mixed number, common denominator, inverse operations, sum, difference, fraction, portion

Problem Solving – Share My Candy What Skills or Content Knowledge does one need to know before being able to complete this problem? Fluency with multiplication and division of whole numbers to generate factors and multiples Understanding of fractions and fraction equivalence Ability to convert a mixed number to an improper fraction What are we trying to figure out or what is the problem asking?

Problem Solving – Share My Candy Solve the problem. You may use a visual fraction model, a drawing or an equation. Be prepared to explain your answer.

Problem Solving – Share My Candy Let’s check our solution. What questions did you have as you solved the problem? What questions did you hear in your group?

Reference http://schools.nyc.gov/NR/rdonlyres/946D93E8-E911-4589-871C-97317E227C3C/141874/NYCDOE_G6_Math_SharemyCandy_FINAL.pdf

Great Job! Thank you!