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Warm-Up Exercises

Warm-Up Exercises. 1.) Write the prime factorization for 36 2.) What are some factors of 36?. Chapter 8 Factoring Polynomials. Section 8.1 Section 8.2 Section 8.3 Section 8.4 Section 8.5 Section 8.6. Section 8.1. Factors and Greatest Common Factors. Goals.

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Warm-Up Exercises

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  1. Warm-Up Exercises 1.) Write the prime factorization for 36 2.) What are some factors of 36?

  2. Chapter 8Factoring Polynomials Section 8.1 Section 8.2 Section 8.3 Section 8.4 Section 8.5 Section 8.6

  3. Section 8.1 Factors and Greatest Common Factors

  4. Goals • Students will be able to write the prime factorization of numbers.  • Students will be able to find the GCF of monomials.

  5. Standards • 11.0. Students apply basic factoring techniques to second- and simple third-degree polynomials. These techniques include finding a common factor.

  6. Communicate Effectively • By using technology to receive, process and send information • By reading and writing at an appropriate grade level • Demonstrate effective oral and listening skills • Learn to use English to express themselves clearly

  7. Goals -Students will be able to write the prime factorization of numbers.  -Students will be able to find the GCF of monomials. ESLR: Communicate Effectively Standards 11.0. Students apply basic factoring techniques to second- and simple third-degree polynomials. These techniques include finding a common factor. Examples • Write out the prime factorization of 60.

  8. Goals -Students will be able to write the prime factorization of numbers.  -Students will be able to find the GCF of monomials. ESLR: Communicate Effectively Standards 11.0. Students apply basic factoring techniques to second- and simple third-degree polynomials. These techniques include finding a common factor. Definition • Factors that are shared by two or more whole numbers are called common factors. The greatest of these common factors is called the greatest common factor (GCF). • Examples: • Factors of 12: 1,2,3,4,6,12 • Factors of 32: 1,2,4,8,16,32 • Common Factors: 1,2,4 • Largest Common Factor = 4 = GCF

  9. Goals -Students will be able to write the prime factorization of numbers.  -Students will be able to find the GCF of monomials. ESLR: Communicate Effectively Standards 11.0. Students apply basic factoring techniques to second- and simple third-degree polynomials. These techniques include finding a common factor. Examples • Find the GCF of 24 and 60 • Method 1: List the factors • Factors of 24: 1,2,3,4,6,8,12,24 • Factors of 60: 1,2,3,4,5,6,10,12,15,20,30,60 • Largest common factor = 12 = GCF • Method 2: Use Prime Factorizations • 24 = 2223 • 60 = 2235 • Factors they have in common: 2,2 • GCF = 22 = 4

  10. Goals -Students will be able to write the prime factorization of numbers.  -Students will be able to find the GCF of monomials. ESLR: Communicate Effectively Standards 11.0. Students apply basic factoring techniques to second- and simple third-degree polynomials. These techniques include finding a common factor. Examples • Find the GCF of 12 and 24 by listing out the factors • Find the GCF of 100 and 60 by using the prime Factorizations.

  11. Goals -Students will be able to write the prime factorization of numbers.  -Students will be able to find the GCF of monomials. ESLR: Communicate Effectively Standards 11.0. Students apply basic factoring techniques to second- and simple third-degree polynomials. These techniques include finding a common factor. Finding the GCF of Monomials Find the GCF of 3x2 and 6x2. Prime factorization of 3x2: 3xx Prime factorization of 6x2: 23xx Common Factors: 3xx = 3x2

  12. Goals -Students will be able to write the prime factorization of numbers.  -Students will be able to find the GCF of monomials. ESLR: Communicate Effectively Standards 11.0. Students apply basic factoring techniques to second- and simple third-degree polynomials. These techniques include finding a common factor. Student Example Find the GCF of 8x2y and 20xy2.

  13. Goals -Students will be able to write the prime factorization of numbers.  -Students will be able to find the GCF of monomials. ESLR: Communicate Effectively Standards 11.0. Students apply basic factoring techniques to second- and simple third-degree polynomials. These techniques include finding a common factor. Homework Section 8.1 Pg. 481 #’s 2-22 evens

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