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Algebra 1

Algebra 1. 8.1 Factors and Greatest Common Factors. Learning Targets. Language Goal: Students will be able to write prime factorization of numbers . Math Goal: Students will be able to find the GCF of monomials .

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Algebra 1

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  1. Algebra 1 8.1 Factors and Greatest Common Factors

  2. Learning Targets • Language Goal: Students will be able to write prime factorization of numbers. • Math Goal: Students will be able to find the GCF of monomials. • Essential Question: Why do you think it would be helpful to know the GCF of monomials?

  3. Warm-up

  4. Vocabulary • Prime Factorization: • A representation of a number or a polynomial as a product of primes. • Greatest Common Factor: • The product of the greatest integer and the greatest power of each variable that divide evenly into each term.

  5. Example 1: Writing Prim Factorizations Write the prime factorization of each number. Try the two different methods A. 60 Method 1: Factor Tree Method 2: Ladder Diagram

  6. Example 1: Writing Prim Factorizations B. 40 C. 33D. 49E. 19

  7. Example 2: Find the GCF of Numbers Finding GCF of 12 and 32 using two methods Method 1: List the factors Method 2: Use prime factorization

  8. Example 2: Find the GCF of Numbers Find the GCF of each pair of numbers. A. 24 and 60 B. 18 and 27

  9. Example 2: Find the GCF of Numbers Find the GCF of each pair of numbers. C. 12 and 16 D. 15 and 25 E. 100 and 60

  10. Example 3: Finding the GCF of Monomials Find the GCF of each pair of monomials A. andB. and

  11. Example 3: Finding the GCF of Monomials Find the GCF of each pair of monomials C. and D. and E. and

  12. Example 4: Word Problems A. Garrison is creating a web page that offers electronic greeting cards. He has 24 special occasion designs and 42 birthday designs. The cards will be displayed with the same number of designs in each row. Special occasion and birthday designs will not appear in the same row. How many rows will there be if Garrison puts the greatest possible number of designs in each row?

  13. Example 4: Word Problems B. Adrianne is shopping for a CD storage unit. She has 36 CDs by pop music artists and 48 CDs by country music artists. She wants to put the same number of CDs on each shelf without putting pop music and country music CDs on the same shelf. If Adrianne puts the greatest possible number of CDs on each shelf, how many shelves does her storage unit need?

  14. Lesson Quiz

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