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Module 4 Lesson 21 Explain the size of the product, and relate fraction and decimal equivalence to multiplying a fraction by 1. Stephen J. O’Connor [email protected] ccss5.com Based upon lessons created by Common Core,Inc • Common Core Standards • 5.NF.5 Interpret multiplication as scaling (resizing), by: • a. Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication. • b. Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n×a)/(n×b) to the effect of multiplying a/b by 1. 5.NF.6 Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. Learning Targets • I can explain the size of the product, and relate fraction and decimal equivalence to multiplying a fraction by 1. • Multiply Decimals • Find Unit Conversion • Multi-step: Multiply fractions ond unit conversion • Explain the size of the product, and relate fraction and decimal equivalence to multiplying a fraction by 1. • Explain the size of the product, and relate fraction and decimal equivalence to multiplying a fraction by 1. Sprint A Sprint B Fluency Practice How many feet in 1 yard? Fluency Practice Express yards as an improper fraction. Fluency Practice Write an expression using the improper fraction and feet then solve. Fluency Practice How many qts in 1 gal? Fluency Practice Express gallons as an improper fraction. Fluency Practice Write an expression using the improper fraction and quarts then solve. Fluency Practice How many inches in 1 foot? Fluency Practice Express feet as an improper fraction. Fluency Practice Write an expression using the improper fraction and inches then solve. Fluency Practice How many cups in 1 pint? Fluency Practice Express pints as an improper fraction. Fluency Practice Write an expression using the improper fraction and cups then solve. Application Problem Carol had yard of ribbon. She wanted to use it to decorate two picture frames. If she uses half the ribbon on each frame, how many feet of ribbon will she use for one frame? Use a tape diagram to show your thinking. Concept Development Write a multiplication expression for this problem. Problem 1 Concept Development Work with a partner to find the product of 2 halves and 3 fourths. Problem 1 Concept Development Let’s draw an area model to verify our solution. Problem 1 Concept Development How does the size of the product compare to the size of the original fraction? Problem 1 Concept Development Work with a partner to solve. One multiplies while the other draws a model Problem 1 Concept Development Show some other fraction multiplication expressions involving 3 fourths that would give us a product that is equal in size to 3 fourths. Problem 1 Concept Development Is this true? Turn and talk. Problem 1 Concept Development Is this true? Write a multiplication sentence to show your thinking. Problem 1 Concept Development Give the product Problem 2 Concept Development What are some other ways to express ? Problem 2 Concept Development Is this true? Problem 2 Concept Development How can we change 3 fifths to a decimal? Problem 2 Concept Development Work with a partner to express 3 fifths as a decimal. Problem 2 Concept Development Work with a partner to express 3 fifths as a decimal. Problem 2 Concept Development Write as a decimal. Problem 2 Concept Development Could we have easily renamed fourths as tenths? Why or why not? Turn and talk. Problem 2 Concept Development Is 25 hundredths the only decimal name for 1 fourth? Is there another unit that would rename fourths as a decimal? Turn and talk. Problem 2 Concept Development Is 25 hundredths the only decimal name for 1 fourth? Is there another unit that would rename fourths as a decimal? Turn and talk. Problem 2 Concept Development Work with a neighbor to express as a decimal, showing your work with multiplication sentences. One of you multiply by , and the other multiply by . Compare your work when you’re done. Problem 2 Concept Development Think about . Are eighths a unit we can express directly as a decimal, or do we need to multiply by a fraction equal to 1 first? Problem 2 Concept Development What fraction equal to 1 will help us rename eighths? Discuss with your neighbor. Problem 2 Concept Development How would you express neighbor. as a decimal? Tell a Problem 2 Concept Development How would you express neighbor. as a decimal? Tell a Problem 2 Concept Development How would you express as a decimal? Problem 2 Concept Development How would you express as a decimal? Problem 2 Concept Development How would you express as a decimal? Problem 2 Practice Concept Development Review Practice Activate Knowledge ✔ Check Understanding Sprint A Learning Targets Teamwork Application Problem Fluency Practice