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Monday, November 14, 2011. Notes & CW: GCF , Prime Factorization, Simplifying Fractions. 5.1. 5.2. Homework : p.194 #10-14. Bellwork : Pretest (15 min). Convert to a percent: Convert to a fraction in simplest form: 58% Write as a percent: 3.5
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Monday, November 14, 2011 Notes & CW: GCF, Prime Factorization, Simplifying Fractions 5.1 5.2 Homework: p.194 #10-14
Bellwork: Pretest (15 min) • Convert to a percent: • Convert to a fraction in simplest form: 58% • Write as a percent: 3.5 • Which of the following are rational numbers? • 6.52, 0, 3%, , -7, , • Write in order of least to greatest: • 9, -6, 4, 0, -2, 18, -26 • -2.75, 0, 79%, , -200%,
Agenda • Pretests will be graded and returned on Tuesday • Introduction to Layered Curriculum • Chapter 4 Contract • Review • Will distribute and sign contracts on Tuesday • Expectations
Conversation: Work-related whispersHelp: Raise HandActivity: Contract itemsMovement: Work-related onlyParticipation: Working on contract items, completing goal for the day Signed: Contract initialed by teacher daily. Math 7: 10/17/2011
What do you know about greatest common factors? 5.1 EQ: How are greatest common factors important to simplifying fractions?
Greatest Common Factor (GCF) 5.1 The greatest of the common factors of two or more numbers is the greatest common factor, GCF. Ex: factors of 18: 1, 2, 3, 6, 9, 18 factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 What is the GCF of 18 and 48? 6
Quick Check 5.1 1. Find the greatest common factor of 12 and 78. a) 12 b) 6 c) 2 d) 8 • Find the greatest common factor of 56 and 96. a) 28 b) 12c) 8 d) 2
Prime Factorization 5.1 • The prime factorization of a number is the number written as a product of prime numbers. • Ex: Factor Tree of 60 60 6 x 10 2 x 3 x 2 x 5 Or
Quick Check 5.1 1. Find the prime factorization of 72. • 8 b) c) 249 • Find the prime factorization of 126. a) 2b) 2 c)
Simplifying Fractions 5.1 • Equivalent fractions have the same value. • A fraction is in simplest form when the GCF of the numerator and denominator is 1. • Simplify fractions by dividing by common factors. Ex: = = = = • The fraction is in simplest form because 11 and 4 have no common factors greater than 1. Could this fraction have been simplified another way?
Quick Check 5.1 Write each fraction in simplest form: • a) b) c) 2. a) b) c)
Multiplication Table 5.1 You need to master your multiplication tables, 1-12, during this chapter.
Practice: CW 5.1 p.194CYU #1-3 -- Write each fraction in simplest form:
Homework: 5.2 • p.194 #10-14