Math Foundation Unit Grade 4: Unit Fractions and Operations This book belongs to:
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Table of Contents A Note to Students.......................................................... v What You Know Check: Going for a Walk................................ 2 Fractions and Models.................................................. 4 Adding Unit Fractions on a Number Line............................... 0 4 Fractions and Mixed Numbers......................................... 5 5 Adding Unit Fractions Using Tape Diagrams........................... 22 6 Subtracting Fractions Using Models................................... 28 7 Progress Check : Pouring Juice....................................... 8 Adding Fractions to Solve Word Problems............................. 6 9 Subtracting Fractions to Solve Word Problems......................... 44 0 Correcting Student Work.............................................. 48 Adding Mixed Numbers............................................... 54 2 Adding Mixed Numbers to Solve Word Problems....................... 6 Subtracting Mixed Numbers.......................................... 67 4 Progress Check 2: Liters of Juice....................................... 7 5 Multiplying a Unit Fraction by a Whole Number........................ 75 6 More Multiplying a Unit Fraction by a Whole Number.................. 79 7 Multiplying a Fraction by a Whole Number............................. 8 8 Correcting More Student Work........................................ 89 9 Using Multiplication to Change a Recipe............................... 96 20 Progress Check : Pints of Paint....................................... 0 Talking Mathematics...................................................... 05 A Complete Solution to a Word Problem.................................. 07 What to Do If You Get Stuck............................................... 09 Image Credits............................................................. Grade 4: Unit Fractions and Operations iii
L E S S O N 8 Adding Fractions to Solve Word Problems show me Write as the sum of unit fractions. 0 opening Anna and Tamika asked 8 friends to name their favorite color from a choice of four colors. The table below shows the results. What fraction of their friends liked gold or red best? Which Color Do You Like Best? Blue Gold Red Green 2 2 Anna showed the results this way: 2 Gold 8 Red 8 5 8 6 Math Foundation Unit
Adding Fractions to Solve Word Problems Tamika showed the results this way: 0 5 8 8 Anna and Tamika said, We show the same answer. They wrote an equation to show their work: 8 + 2 8 = 5 8 Anna said, Five-eighths of our friends like gold or red best of these four colors. work time For Problems and 2, show the problem three ways: Using a number line Using a tape diagram Using an equation Grade 4: Unit Fractions and Operations 7
Lesson 8. Anna asked 2 friends which food they like best. The table shows the results. Which Food Do You Like Best? Number of Friends Pasta Chicken Hamburgers Pizza Fish 2 5 a. What fraction of Anna s friends likes hamburgers or pizza best? 8 Math Foundation Unit
Adding Fractions to Solve Word Problems b. Which three foods do her friends like best? What fraction of Anna s friends like those foods? Show a complete solution. Grade 4: Unit Fractions and Operations 9
Lesson 8 2. Tamika asked 0 friends what outdoor activity they like best. The table below shows the results. Which Outdoor Activity Do You Like Best? Outdoor Activity Number of Friends Bike riding Skateboarding Playing a team sport 2 Swimming Fishing What fraction of Tamika s friends like to bike or swim best? 40 Math Foundation Unit Show a complete solution.
Talking Mathematics Use these suggestions to help you talk to other students about their work. Clarify Critique Connect Compare See Structure Are you saying that? Can you say more about? I did not understand. What do you mean by? I have a question about that (diagram or equation) because I notice that How do you know that? I think you need to add I agree with that because I disagree with that because An example of that is What you said is like The words that I use to say that are I used a different strategy to solve the problem. My strategy was Is that the same as? My work is similar to yours because Is that different from? My work is different from yours because That was is easier because Is it always true that? Is it ever true that? Can you apply what you know about that to? Grade 4: Unit Fractions and Operations 05
A Complete Solution to a Word Problem includes all of the following A written estimate All work that you do An equation A diagram, number line, table, or other representation The answer to the question in a complete sentence Grade 4: Unit Fractions and Operations 07
What to Do If You Get Stuck Look at past work times Look at the charts that are posted Model the problem using counters or other materials Sketch a diagram or other representation Change the numbers to make the problem simpler Write what you do know Write down questions to ask later Check other resources Grade 4: Unit Fractions and Operations 09