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5th Grade Module 4– Lesson 14 K. Clauson Time to Sprint! Multiply a fraction and a whole number Fractions as Whole Numbers I’ll say a fraction. You say it as a division equation and give the quotient. 4 halves 4÷2=2 Application Problem Solve by drawing a rectangular fraction model and writing a multiplication sentence. Beth had 1/4 box of candy. She ate 1/2 of the candy. What fraction of the whole box does she have left? Extension: If Beth decides to refill the box, what fraction of the box would need to be refilled? Application Problem Concept Development Problem 1 Jan had 3/5 pan of crispy rice treats. She sent 1/3 of the treats to school. What fraction of the whole pan did she send to school? This problem is different than the ones we saw yesterday. Now Jan has 3 fifths instead of 1 fraction unit of treats (Remember unit fractions are 1/2, 1/3, 1/4) Before we find 1/3 of Jan’s 3/5, let’s visualize this. If there are 3 bananas, how many would 1/3 of the bananas be? What is 1/3 of 3 pens? What is 1/3 of 3 books? So, then, what is 1/3 of 3 fifths? Concept Development Problem 1 Jan had 3/5 pan of crispy rice treats. She sent 1/3 of the treats to school. What fraction of the whole pan did she send to school? 1/3 of 3 fifths equals 1 fifth Let’s draw an area model to prove your thinking! Use Interwrite tools to draw the rectangular fraction model! Concept Development Problem 1 Jan had 3/5 pan of crispy rice treats. She sent 1/3 of the treats to school. What fraction of the whole pan did she send to school? 1/3 of 3 fifths equals 1 fifth Problem 2 Jan had 3/4 pan of crispy rice treats. She sent 1/3 of the treats to school. What fraction of the whole pan did she send to school? 1/3 of 3 fourths = 1 fourth What do you think the answer for 1/3 of 3 fourths will be? Work with a neighbor to solve one third of 3 fourths. One of you can write draw the area model, while the other writes a matching number sentence. Problem 2 Jan had 3/4 pan of crispy rice treats. She sent 1/3 of the treats to school. What fraction of the whole pan did she send to school? Look back at the two problems we just solved. If 1/3 of 3 fifths is 1 fifth and 1/3 of 3 fourths is 1 fourth, what then is 1/3 of 3 eighths? 1/ 3 of 3 tenths? 1 tenth 1/3 of 3 hundredths? 1 hundredth 1/4 of 4 fifths? 1 fifth 1/2 of 2 fifths? 1 fifth 1/4 of 4 sevenths? 1 seventh Problem 3: / × / Let’s draw a rectangular fraction model to confirm our thinking. We need to find 1 half of 4 fifths. If this were 1 half of 4 bananas, how many bananas would we have? How can you use this thinking to help you find 1 half of 4 fifths? Turn and talk. 1 half of 4 fifths is 2 fifths Problem 3: / × / What patterns do you notice in our multiplication sentences? Turn and talk. As we are modeling the rest of our problems, let’s see if this pattern continues. Problem 4 3/4 of Benjamin’s garden is planted in vegetables. Carrots are planted in 1/2 of his vegetable section of the garden. How much of Benjamin’s garden is planted in carrots? 1/2 x 3/4 1/2 of 3/4 Use Interwrite tools to draw the rectangular fraction model! Problem 5: / of / Use Interwrite tools to draw the rectangular fraction model! Problem 6 Mr. Becker, the gym teacher, uses 3/5 of his kickballs in class. Half of the remaining balls are given to students for recess. What fraction of all the kickballs is given to students for recess? Let’s draw a tape diagram! Get Ready to Finish the Problem Set on Your Own! Start working on Lesson 14 Problem Set You will have 10 minutes to work. Try your Best! ----------------------------------------------------------------------------------------------Fast finishers: - Math Center Activities- choice boards, extra Sprint challenge - CML packets/ worksheets - Problem Solving pages 5th Grade Module 4– Lesson 13 K. Clauson • Take 2 minutes to check your answers with your partner. • Let’s share any insights you had while solving these problems. 5th Grade Module 4- Lesson 14 K. Clauson EXIT TICKET LESSON 14 5th Grade Module 4– Lesson 14 K. Clauson