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Learning Objective Name ___________________________ Today, we will reduce fractions.

Learning Objective Name ___________________________ Today, we will reduce fractions. Factors of 6. CFU What are we going to do today?. 1, 2, 3, 6. Activate (or provide) Prior Knowledge. A factor is a number that divides a given number evenly.

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Learning Objective Name ___________________________ Today, we will reduce fractions.

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  1. Learning ObjectiveName ___________________________ Today, we will reduce fractions. Factors of 6 CFU What are we going to do today? 1, 2, 3, 6 Activate (or provide) Prior Knowledge A factoris 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 B. The factors of 12 1 , 2 , 3 , 6 , 9 , 18 1 , 2 , 3 , 4 , 6 , 12 C. What is the GCF of 12 and 18? The GCF of 12 and 18 is ________. 6 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.

  2. Concept Development • The reduced form of a fraction iswhen the numerator and denominator have no common1 factor except 1. • • A fraction in reduced form is also referred2 to as in simplest form or lowest terms. • To reducea fraction means to change it into reduced form. • • To reduce a fraction, divide the numerator and denominator by the GCF. 1 same 2 called NOT a Reduced Fraction Reduced Fraction 1, 2 1, 2, 3, 4, 6, 12 Flashcards Reduced Form 1, 2, 3, 6, 9, 18 1, 3 1, 2, 3 and 6 are common factors No common factor except 1 Example: Reduce using the greatest common factor (GCF): GCF = 6 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? 1, 3, 9 1, 7 A B 1, 5, 25 1, 3, 7, 21 A 7 B 3

  3. NOT a Reduced Fraction Reduced Fraction 1, 2, 3, and 6 are common factor of 12 and 18 No common factor except 1 Skill Development/Guided Practice The reduced form of a fraction iswhen the numerator and denominator have no common factor except 1. To reducea fraction means to change it into reduced form. Reduce fractions. Step #1: Find the factors of the numerator and denominator. Step #2: Identify3 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: Interpret4 the reduced fraction. “The reduced form of ____ is _____.” 3 find 4 explain 1 , 5 1 , 7 1 , 2 , 4 , 5 , 10 , 20 1 , 3 , 7 , 21 7 5 1 , 2 , 3 , 4 , 6 , 12 1 , 3 , 9 1 , 3 , 5 , 15 1 , 2 , 3 , 4 , 6 , 12 3 3 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?

  4. NOT a Reduced Fraction Reduced Fraction 1, 2, 3, and 6 are common factor of 12 and 18 No common factor except 1 Skill Development/Guided Practice (continued) The reduced form of a fraction iswhen the numerator and denominator have no common factor except 1. To reducea fraction means to change it into reduced form. Reduce fractions. 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 _____.” 1 , 2 , 3 , 6 , 9 , 18 1 , 2 , 3 , 6 , 7 , 14 , 21 , 42 6 1 , 2 , 3 , 4 , 6 , 8 , 12 , 24 1 , 2 , 4 , 5 , 8 , 10 , 20 , 40 8 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?

  5. Relevance The reduced form of a fraction iswhen the numerator and denominator have no common factor except 1. To reducea fraction means to change it into reduced form. 1. Reducing fractions will make calculations easier. 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. 2. Reducing fractions will help you do well on tests. 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?

  6. NOT a Reduced Fraction Reduced Fraction 1, 2, 3, and 6 are common factor of 12 and 18 No common factor except 1 The reduced form of a fraction iswhen the numerator and denominator have no common factor except 1. To reducea fraction means to change it into reduced form. Skill Closure Reduce fractions. 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 _____.” 1 , 3 1 , 3 , 5 , 15 3 1 , 2 , 7 , 14 1 , 2 , 3 , 6 , 9 , 18 2 Constructed Response Closure Alicia reduced the fraction to . Explain why her answer is not fully reduced. ______________________________________________________________________________________________________ Summary Closure

  7. NOT a Reduced Fraction Reduced Fraction 1, 2, 3, and 6 are common factor of 12 and 18 No common factor except 1 Independent Practice Name ________________________________ The reduced form of a fraction iswhen the numerator and denominator have no common factor except 1. To reducea fraction means to change it into reduced form. Reduce fractions. 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 _____.” 1 , 11 1 , 5 1 , 3 , 11 , 33 1 , 5 , 7 , 35 11 5 1 , 3 , 9 , 27 1 , 3 , 5 , 15 1 , 2 , 3 , 4 , 6 , 8 , 12 , 24 1 , 2 , 3 , 5 , 6 , 10 , 15 , 30 3 3 1 , 2 , 7 , 14 1 , 2 , 3 , 4 , 6 , 12 1 , 2 , 3 , 6 , 9 , 18 , 27 , 54 1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24, 48 6 2

  8. NOT a Reduced Fraction Reduced Fraction 1, 2, 3, and 6 are common factor of 12 and 18 No common factor except 1 Periodic Review 1 Name ________________________________ The reduced form of a fraction iswhen the numerator and denominator have no common factor except 1. To reducea fraction means to change it into reduced form. Reduce fractions. 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 _____.” 1, 2, 11, 22 1, 2, 7, 14 1, 3, 11, 33 1, 2, 3, 6, 7, 14, 21, 42 11 14 1, 3, 5, 15 1, 12, 2, 6, 3, 4 1, 3, 5, 15, 25, 75 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 15 12 1, 2, 4, 8, 16 1, 2, 3, 4, 5, 8, 10, 20, 40 1, 5, 11, 55 1, 2, 4, 7, 8, 14, 28, 56 5 8

  9. NOT a Reduced Fraction Reduced Fraction 1, 2, 3, and 6 are common factor of 12 and 18 No common factor except 1 Periodic Review 2 Name ________________________________ The reduced form of a fraction iswhen the numerator and denominator have no common factor except 1. To reducea fraction means to change it into reduced form. Reduce fractions. 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 _____.” 1, 2, 4, 8 1, 2, 4, 8, 16 1, 2, 3, 4, 6, 9, 12, 18, 36 1, 2, 4, 8, 16, 32 4 8 1, 2, 4, 8, 16, 32, 64 1, 2, 3, 4, 6, 9, 12, 18, 36 1, 3, 9, 27, 81 1, 2, 4, 8, 11, 22, 44, 88 9 8 1, 2, 4, 7, 14, 28 1, 2, 11, 22 1, 2, 3, 6, 7, 14, 21, 42 1, 2, 4, 5, 8, 10, 20, 40 2 14

  10. NOT a Reduced Fraction Reduced Fraction 1, 2, 3, and 6 are common factor of 12 and 18 No common factor except 1 Periodic Review 3 Name ________________________________ The reduced form of a fraction iswhen the numerator and denominator have no common factor except 1. To reducea fraction means to change it into reduced form. Reduce fractions. 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 _____.” 1, 2, 4, 5, 10, 20 1, 2, 3, 4, 6, 9, 12, 18, 36 1, 5, 17, 85 1, 3, 7, 9, 21, 63 5 9 1, 2, 3, 5, 6, 10, 15, 30 1, 2, 4, 7, 14, 28 1, 2, 5, 7, 10, 14, 35, 70 1, 2, 5, 25, 10, 50 14 10 1, 3, 9, 27 1, 2, 3, 6, 9, 18 1, 3, 5, 9, 15, 45 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 9 18

  11. Flashcard (Reduced Form) The reduced form of a fraction iswhen the numerator and denominator have no common factor except 1. To reducea fraction means to change it into reduced form. Teacherwith CFU Is the fraction in reduced form? Yes [ How did I know if the fraction was in reduced form? ] Flashcard (Reduced Form)

  12. Flashcard (Reduced Form) The reduced form of a fraction iswhen the numerator and denominator have no common factor except 1. To reducea fraction means to change it into reduced form. Studentswith CFU Is the fraction in reduced form? Yes [ How did you know if the fraction was in reduced form? ] Flashcard (Reduced Form)

  13. Flashcard (Reduced Form) The reduced form of a fraction iswhen the numerator and denominator have no common factor except 1. To reducea fraction means to change it into reduced form. Teacherwith CFU Is the fraction in reduced form? No [ How did I know if the number was in reduced form? ] Flashcard (Reduced Form)

  14. Flashcard (Reduced Form) The reduced form of a fraction iswhen the numerator and denominator have no common factor except 1. To reducea fraction means to change it into reduced form. Studentswith CFU Is the fraction in reduced form? No [ How did you know if the fraction was in reduced form? ] Flashcard (Reduced Form)

  15. Flashcard (Reduced Form) The reduced form of a fraction iswhen the numerator and denominator have no common factor except 1. To reducea fraction means to change it into reduced form. Students Is the fraction in reduced form? Yes Flashcard (Reduced Form)

  16. Flashcard (Reduced Form) The reduced form of a fraction iswhen the numerator and denominator have no common factor except 1. To reducea fraction means to change it into reduced form. Students Is the fraction in reduced form? No Flashcard (Reduced Form)

  17. Flashcard (Reduced Form) The reduced form of a fraction iswhen the numerator and denominator have no common factor except 1. To reducea fraction means to change it into reduced form. Students Is the fraction in reduced form? No Flashcard (Reduced Form)

  18. Flashcard (Reduced Form) The reduced form of a fraction iswhen the numerator and denominator have no common factor except 1. To reducea fraction means to change it into reduced form. Students Is the fraction in reduced form? Yes Flashcard (Reduced Form)

  19. Flashcard (Reduced Form) The reduced form of a fraction iswhen the numerator and denominator have no common factor except 1. To reducea fraction means to change it into reduced form. Students Is the fraction in reduced form? Yes Flashcard (Reduced Form)

  20. Flashcard (Reduced Form) The reduced form of a fraction iswhen the numerator and denominator have no common factor except 1. To reducea fraction means to change it into reduced form. Studentswith CFU Is the fraction in reduced form? No [ How did you know if the fraction was in reduced form? ] Return to Concept Development Flashcard (Reduced Form)

  21. EDI – Cognitive, Teaching and English Learners Strategies

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