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Division of Fractions (1 of 3) Missy Bristol 1 Agenda and Objectives Learning Objective: Students Will Be Able To… interpret the rationality of quotients and apply this skill to “real-world” problems. Language Objective: SWBAT define and identify Dividend, Divisor, and Quotient as they relate to division of fractional quantities. 10 1) Warm Up independent 2) Launch 1 independent and partner 3) Launch 2 independent and partner 4) Explore independent and partner 5) Summary “key to leave” check Lesson Vocabulary and Language Objectives Word Definition Dividend A number to be divided Divisor The number a dividend is divided by Quotient The number that results from division, solution of division Example/Symbol 10 10 ¸ 2 or 2 10 10 ¸ 2 or 2 =5 Agenda 11 Launch 1 – Division: Larger Dividend 4¸2= 2 Dividend Divisor Quotient Once Twice Concept 1 When the dividend is larger than the divisor, the quotient is always greater than 1. Agenda 12 Student Work (SW #1) *On the lines below, write what you think Concept 1 means in your own words. If needed, you can use the number example, 4 ÷ 2, to help in your explanation. Please use either the words "fits into" or "holds" in your explanation. Once finished, share your explanation with a table partner. (Everyone must share) 5 Minutes of Work Time ! Click on the timer for internet timer window to open! Agenda 13 Launch 2 – Division, smaller dividend 1 2¸4= 2 Dividend Divisor Quotient Concept 2 When the dividend is smaller than the divisor, the quotient is always less than 1. Agenda 14 Student Work (SW #2) *On the lines below, write what you think Concept 1 means in your own words. If needed, you can use the number example, 2 ÷ 4, to help in your explanation. Please use either the words "fits into" or "holds" in your explanation. Once finished, share your explanation with a table partner. (Everyone must share) 5 Minutes of Work Time ! Click on the timer for internet timer window to open! Agenda 15 (SW #3) Don’t freak out if not whole numbers… … the concepts still apply to fractions and decimals !! 1 1 ¸ 2 4 Dividend Dividend Greater than/Less than Concept 1 or 2 (write out) is __________ because _____________ Divisor Divisor 3.01 ¸ 5.65 Greater than/Less than Concept 1 or 2 (write out) is __________ because _____________ Agenda 16 Explore – Rational Quotients Circle the larger number (Dividend or Divisor). Then, write greater than or less than, you may use inequality symbols ( < or > ). #1 is answered for you. 1) 2) 5¸7 Less than < 1 11.3 ¸ 8 Greater than > 1 3) 1 3 ¸2 3 > 1 4) 1 2 ¸3 2 < 1 4.33 ¸ 4.32 > 1 6) 1.001¸1.0009 > 1 5) 1 4 ¸ 3 5 8) 1 1 2 ¸5 4 2 7 2 9) ¸ 8 9 1 1 10) ¸ 3 6 3 2 11) ¸ 2 3 12) 9 10 ¸ 8 3 7) < 1 < 1 > 1 > 1 > 1 < 1 Agenda 17 Summary & Key to Leave Name 1) Problems 2 & 3 involve division to solve: Place a box around the dividend and circle the divisor. Write a numerical expression or equation. Then write whether the quotients will be greater than or less than 1. Explain whether the quotient to the problem below is greater than or less than 1. Use the words “Dividend” and “Divisor” in your explanation. 2) How many halves, (1/2), are there in an eighth, (1/8)? An Italian sausage is 8 inches long. How many pieces of sausage can be cut from the 85inch piece 2 of sausage if each piece is to be 6 ¸ 3) A hotdog is 7 ½ inches long. How many pieces can be cut from the hotdog if each piece is to be two-thirds of an inch? 3 Agenda 18