1. 6 th Grade Number Sense 2.4 (3Q) Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form of a fraction). Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com Learning Objective Name ___________________________ Today, we will reduce fractions. CFU What are we going to do today? Activate (or provide) Prior Knowledge CFU Students, you already know how to find the GCF of two numbers by listing their factors. Today, we will reduce fractions by finding the GCF of the numerator and denominator. A factor is a number that divides a given number evenly. The greatest common factor (GCF) of two numbers is the largest number that divides both numbers evenly. List the factors of the following numbers. A. The factors of 18 1 B. The factors of 12, 2, 3, 6, 9, 181, 2, 3, 4, 6, 12 C. What is the GCF of 12 and 18? 6 The GCF of 12 and 18 is ________. 1, 2, 3, 6 Factors of 6

2. 6 th Grade Number Sense 2.4 (3Q) Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form of a fraction). Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com Concept Development Example: Reduce using the greatest common factor (GCF): The reduced form of a fraction is when the numerator and denominator have no common 1 factor except 1. A fraction in reduced form is also referred 2 to as in simplest form or lowest terms. CFU Use the list of factors to determine which fraction is in reduced form? How do you know? Why is the other not in reduced form? What number will we need to divide by to reduce the fraction (A) above? How do you know? Factors of 12 = 1, 2, 3, 4, 6, and 12 Factors of 18 = 1, 2, 3, 6, 9, and 18 To reduce a fraction means to change it into reduced form. To reduce a fraction, divide the numerator and denominator by the GCF. GCF = 6 1 same 2 called 1, 2 1, 3 Reduced Fraction No common factor except 1 BA 1, 7 1, 3, 7, 21 1, 3, 9 1, 5, 25 B 3 A 7 Flashcards Reduced Form 1, 2, 3, 4, 6, 12 1, 2, 3, 6, 9, 18 NOT a Reduced Fraction 1, 2, 3 and 6 are common factors

3. 6 th Grade Number Sense 2.4 (3Q) Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form of a fraction). Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 1. Factors of 7:_______________________ Factors of 21: ______________________ GCF:_______ 2. Factors of 5:_______________________ Factors of 20: ______________________ GCF:_______ 3. Factors of 9:_______________________ Factors of 12: ______________________ GCF:_______ 4. Factors of 12: ______________________ Factors of 15: ______________________ GCF:_______ Skill Development/Guided Practice CFU (#2) How did I/you identify the GCF? (#3) How did I/you reduce the fraction? (#4) How did I/you interpret the reduced fraction? 1 1 7 Step #1: Find the factors of the numerator and denominator. Step #2: Identify 3 the GCF and write it on the line. (circle) Step #3: Reduce the fraction by dividing the numerator and denominator by the GCF. (circle) Step #4: Interpret 4 the reduced fraction. “The reduced form of ____ is _____.” 3 find 4 explain Reduce fractions., 7, 3, 7, 21 1 1 5, 5, 2, 4, 5, 10, 20 1 1 3, 3, 2, 3, 4, 6, 12, 9 The reduced form of a fraction is when the numerator and denominator have no common factor except 1. To reduce a fraction means to change it into reduced form. 1, 2, 3, 4, 6, 12 1, 3, 5, 15 3 NOT a Reduced Fraction 1, 2, 3, and 6 are common factor of 12 and 18 Reduced Fraction No common factor except 1

4. 6 th Grade Number Sense 2.4 (3Q) Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form of a fraction). Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5. Factors of 18:_______________________ Factors of 42: _______________________ GCF:_______ 6. Factors of 24:_______________________ Factors of 40: _______________________ GCF:_______ 1, 2, 3, 6, 9, 18 1, 2, 3, 6, 7, 14, 21, 42 6 1, 2, 3, 4, 6, 8 1, 2, 4, 5, 8, 10, 20, 40 8, 12, 24 Skill Development/Guided Practice (continued) The reduced form of a fraction is when the numerator and denominator have no common factor except 1. To reduce a fraction means to change it into reduced form. CFU (#2) How did I/you identify the GCF? (#3) How did I/you reduce the fraction? (#4) How did I/you interpret the reduced fraction? Step #1: Find the factors of the numerator and denominator. Step #2: Identify the GCF and write it on the line. (circle) Step #3: Reduce the fraction by dividing the numerator and denominator by the GCF. (circle) Step #4: Interpret the reduced fraction. “The reduced form of ____ is _____.” Reduce fractions. Reduced Fraction No common factor except 1 NOT a Reduced Fraction 1, 2, 3, and 6 are common factor of 12 and 18

5. 6 th Grade Number Sense 2.4 (3Q) Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form of a fraction). Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com The reduced form of a fraction is when the numerator and denominator have no common factor except 1. To reduce a fraction means to change it into reduced form. CFU Does anyone else have another reason why it is relevant to reduce fractions? (pair-share) Why is it relevant to reduce fractions? You may give me my reason or one of your own. Which reason is more relevant to you? Why? 1. Reducing fractions will make calculations easier. Relevance 2. Reducing fractions will help you do well on tests. A pizza is cut into 12 equal pieces. John and his friend ate 6 slices. How much of the pizza did they eat? They ate half of the pizza.

6. 6 th Grade Number Sense 2.4 (3Q) Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form of a fraction). Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com Skill Closure 1. Factors of 3:_______________________ Factors of 15: _______________________ GCF:_______ 2. Factors of 14:_______________________ Factors of 18: _______________________ GCF:_______ 1, 3 1, 5, 15 3 1, 2, 7, 14 1, 2, 3, 6, 9, 18 2 The reduced form of a fraction is when the numerator and denominator have no common factor except 1. To reduce a fraction means to change it into reduced form. What did you learn today about reducing fractions? Day 1 __________________________________________________________________________________________________ _______________________________________________________________________________________________________ Day 2 __________________________________________________________________________________________________ _______________________________________________________________________________________________________ Step #1: Find the factors of the numerator and denominator. Step #2: Identify the GCF and write it on the line. (circle) Step #3: Reduce the fraction by dividing the numerator and denominator by the GCF. (circle) Step #4: Interpret the reduced fraction. “The reduced form of ____ is _____.” Reduce fractions. Constructed Response Closure Summary Closure Alicia reduced the fraction to. Explain why her answer is not fully reduced. ______________________________________________________________________________________________________ Reduced Fraction No common factor except 1 NOT a Reduced Fraction 1, 2, 3, and 6 are common factor of 12 and 18

7. 6 th Grade Number Sense 2.4 (3Q) Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form of a fraction). Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com Independent Practice Name ________________________________ 1 1 11, 11, 3, 11, 33 1 1 5, 5, 7, 35 1 1 3, 3, 2, 3, 4, 6, 8, 5, 15, 12, 24 1. Factors of 11:_______________________ Factors of 33: ______________________ GCF:_______ 2. Factors of 5:_______________________ Factors of 35: ______________________ GCF:_______ 3. Factors of 15:_______________________ Factors of 24: ______________________ GCF:_______ 4. Factors of 27:_______________________ Factors of 30: ______________________ GCF:_______ 5. Factors of 14:_______________________ Factors of 48: ______________________ GCF:_______ 6. Factors of 12:_______________________ Factors of 54: ______________________ GCF:_______ 1, 3, 9, 27 1, 2, 3, 5 3, 6, 10, 15, 30 1, 2, 7, 14 1, 2, 3, 4, 6, 8, 12, 16 2, 24, 48 1, 2, 3, 4, 6, 12 1, 2, 3, 6, 9, 18, 27, 54 6 The reduced form of a fraction is when the numerator and denominator have no common factor except 1. To reduce a fraction means to change it into reduced form. Step #1: Find the factors of the numerator and denominator. Step #2: Identify the GCF and write it on the line. (circle) Step #3: Reduce the fraction by dividing the numerator and denominator by the GCF. (circle) Step #4: Interpret the reduced fraction. “The reduced form of ____ is _____.” Reduce fractions. Reduced Fraction No common factor except 1 NOT a Reduced Fraction 1, 2, 3, and 6 are common factor of 12 and 18

8. 6 th Grade Number Sense 2.4 (3Q) Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form of a fraction). Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 1. Factors of 14:_______________________ Factors of 42: ______________________ GCF:_______ 2. Factors of 22:_______________________ Factors of 33: ______________________ GCF:_______ 3. Factors of 15:_______________________ Factors of 75: ______________________ GCF:_______ 4. Factors of 12:_______________________ Factors of 60: ______________________ GCF:_______ 5. Factors of 16:_______________________ Factors of 56: ______________________ GCF:_______ 6. Factors of 40:_______________________ Factors of 55: ______________________ GCF:_______ 1, 2, 7, 14 1, 2, 3, 6, 7, 14, 21, 42 14 1, 2, 11, 22 1, 3, 11, 33 11 1, 3, 5, 15 1, 3, 5, 15, 25, 75 15 1, 12, 2, 6, 3, 4 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 12 1, 2, 4, 8, 16 1, 2, 4, 7, 8, 14, 28, 56 8 1, 2, 3, 4, 5, 8, 10, 20, 40 1, 5, 11, 55 5 Periodic Review 1 Name ________________________________ The reduced form of a fraction is when the numerator and denominator have no common factor except 1. To reduce a fraction means to change it into reduced form. Step #1: Find the factors of the numerator and denominator. Step #2: Identify the GCF and write it on the line. (circle) Step #3: Reduce the fraction by dividing the numerator and denominator by the GCF. (circle) Step #4: Interpret the reduced fraction. “The reduced form of ____ is _____.” Reduce fractions. Reduced Fraction No common factor except 1 NOT a Reduced Fraction 1, 2, 3, and 6 are common factor of 12 and 18

9. 6 th Grade Number Sense 2.4 (3Q) Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form of a fraction). Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 1. Factors of 8:_______________________ Factors of 32: ______________________ GCF:_______ 2. Factors of 16:_______________________ Factors of 36: ______________________ GCF:_______ 3. Factors of 64:_______________________ Factors of 88: ______________________ GCF:_______ 4. Factors of 36:_______________________ Factors of 81: ______________________ GCF:_______ 5. Factors of 28:_______________________ Factors of 42: ______________________ GCF:_______ 6. Factors of 22:_______________________ Factors of 40: ______________________ GCF:_______ 1, 2, 4, 8 1, 2, 4, 8, 16, 32 8 1, 2, 4, 8, 16 1, 2, 3, 4, 6, 9, 12, 18, 36 4 1, 2, 4, 8, 16, 32, 64 1, 2, 4, 8, 11, 22, 44, 88 8 1, 2, 3, 4, 6, 9, 12, 18, 36 1, 3, 9, 27, 81 9 1, 2, 4, 7, 14, 28 1, 2, 3, 6, 7, 14, 21, 42 14 1, 2, 11, 22 1, 2, 4, 5, 8, 10, 20, 40 2 Periodic Review 2 Name ________________________________ The reduced form of a fraction is when the numerator and denominator have no common factor except 1. To reduce a fraction means to change it into reduced form. Step #1: Find the factors of the numerator and denominator. Step #2: Identify the GCF and write it on the line. (circle) Step #3: Reduce the fraction by dividing the numerator and denominator by the GCF. (circle) Step #4: Interpret the reduced fraction. “The reduced form of ____ is _____.” Reduce fractions. Reduced Fraction No common factor except 1 NOT a Reduced Fraction 1, 2, 3, and 6 are common factor of 12 and 18

10. 6 th Grade Number Sense 2.4 (3Q) Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form of a fraction). Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 1. Factors of 36:_______________________ Factors of 63: ______________________ GCF:_______ 2. Factors of 20:_______________________ Factors of 85: ______________________ GCF:_______ 3. Factors of 28:_______________________ Factors of 70: ______________________ GCF:_______ 4. Factors of 30:_______________________ Factors of 50: ______________________ GCF:_______ 5. Factors of 18:_______________________ Factors of 72: ______________________ GCF:_______ 6. Factors of 27:_______________________ Factors of 45: ______________________ GCF:_______ 1, 2, 4, 7, 14, 28 1, 2, 3, 4, 6, 9, 12, 18, 36 1, 3, 7, 9, 21, 63 9 1, 2, 4, 5, 10, 20 1, 5, 17, 85 5 1, 2, 5, 7, 10, 14, 35, 70 14 1, 2, 3, 5, 6, 10, 15, 30 1, 2, 5, 25, 10, 50 10 1, 2, 3, 6, 9, 18 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 18 1, 3, 9, 27 1, 3, 5, 9, 15, 45 9 Periodic Review 3 Name ________________________________ The reduced form of a fraction is when the numerator and denominator have no common factor except 1. To reduce a fraction means to change it into reduced form. Step #1: Find the factors of the numerator and denominator. Step #2: Identify the GCF and write it on the line. (circle) Step #3: Reduce the fraction by dividing the numerator and denominator by the GCF. (circle) Step #4: Interpret the reduced fraction. “The reduced form of ____ is _____.” Reduce fractions. Reduced Fraction No common factor except 1 NOT a Reduced Fraction 1, 2, 3, and 6 are common factor of 12 and 18

11. 6 th Grade Number Sense 2.4 (3Q) Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form of a fraction). Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com Flashcard (Reduced Form) Teacher with CFU The reduced form of a fraction is when the numerator and denominator have no common factor except 1. To reduce a fraction means to change it into reduced form. Is the fraction in reduced form? [ How did I know if the fraction was in reduced form? ] Flashcard (Reduced Form) Yes

12. 6 th Grade Number Sense 2.4 (3Q) Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form of a fraction). Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com Students with CFU The reduced form of a fraction is when the numerator and denominator have no common factor except 1. To reduce a fraction means to change it into reduced form. [ How did you know if the fraction was in reduced form? ] Flashcard (Reduced Form) Is the fraction in reduced form? Yes

13. 6 th Grade Number Sense 2.4 (3Q) Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form of a fraction). Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com Teacher with CFU The reduced form of a fraction is when the numerator and denominator have no common factor except 1. To reduce a fraction means to change it into reduced form. [ How did I know if the number was in reduced form? ] Flashcard (Reduced Form) Is the fraction in reduced form? No

14. 6 th Grade Number Sense 2.4 (3Q) Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form of a fraction). Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com Students with CFU The reduced form of a fraction is when the numerator and denominator have no common factor except 1. To reduce a fraction means to change it into reduced form. Flashcard (Reduced Form) Is the fraction in reduced form? [ How did you know if the fraction was in reduced form? ] No

15. 6 th Grade Number Sense 2.4 (3Q) Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form of a fraction). Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com The reduced form of a fraction is when the numerator and denominator have no common factor except 1. To reduce a fraction means to change it into reduced form. Flashcard (Reduced Form) Is the fraction in reduced form? Yes Students

16. 6 th Grade Number Sense 2.4 (3Q) Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form of a fraction). Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com The reduced form of a fraction is when the numerator and denominator have no common factor except 1. To reduce a fraction means to change it into reduced form. Flashcard (Reduced Form) Is the fraction in reduced form? No Students

17. 6 th Grade Number Sense 2.4 (3Q) Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form of a fraction). Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com The reduced form of a fraction is when the numerator and denominator have no common factor except 1. To reduce a fraction means to change it into reduced form. Flashcard (Reduced Form) Is the fraction in reduced form? No Students

18. 6 th Grade Number Sense 2.4 (3Q) Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form of a fraction). Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com Students The reduced form of a fraction is when the numerator and denominator have no common factor except 1. To reduce a fraction means to change it into reduced form. Flashcard (Reduced Form) Is the fraction in reduced form? Yes

19. 6 th Grade Number Sense 2.4 (3Q) Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form of a fraction). Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com Students The reduced form of a fraction is when the numerator and denominator have no common factor except 1. To reduce a fraction means to change it into reduced form. Flashcard (Reduced Form) Is the fraction in reduced form? Yes

20. 6 th Grade Number Sense 2.4 (3Q) Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form of a fraction). Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com Students with CFU Return to Concept Development The reduced form of a fraction is when the numerator and denominator have no common factor except 1. To reduce a fraction means to change it into reduced form. Flashcard (Reduced Form) Is the fraction in reduced form? No [ How did you know if the fraction was in reduced form? ]

21. 6 th Grade Number Sense 2.4 (3Q) Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form of a fraction). Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com Learning Objective : Today, we will reduce fractions. Cognitive StrategiesTeaching Strategies ElaborationDemonstration Targeted vocabulary: reduced form, common, referred, identify, interpret Language Strategies Vocabulary Words Academic common, referred, identify, interpret Content reduced form Support Vocabulary Strategy Multiple-Meaning Synonym common, referred, identify, interpret Definition reduced form Homophone Internal Context Clue Listen, SpeakSimilar Sounds Read Tracked Reading Decoding Rules Write Writing Content Access Strategies Comprehensible Input Cognates Contextual Clues Graphic Organizer Contextualized Definitions Pictures EDI – Cognitive, Teaching and English Learners Strategies

22. 6 th Grade Number Sense 2.4 (3Q) Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form of a fraction). Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com Blank Page