1. GCF Intro To Problem Solving Ms. Pandolfino

2. SWBAT Identify real world problems by referring to the GCF checklist and using prime factorization Homework: Noah’s Hiking Problem Do Now: Find the GCF of 30 and 20 using a Factor Tree to help you find the prime factorization of each number. 3020 PF of 30 in expanded form: PF of 20 in expanded form: What factors match from both lists? What is the GCF of 20 and 30?

3. Do Now Question 2 Which set of numbers are relatively prime? 5 and 10 8 and 21

4. Class Notes How do I know if the GCF can help me solve a problem?

5. I Do - Teacher Example Jamie baked 12 oatmeal cookies and 16 chocolate chip cookies to package in plastic containers for her friends at school. She wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie. If she wants each container to have the greatest number of cookies possible, how many containers does she need? 1.)Use the checklist to figure out WHAT we are trying to do in this problem. In this problem Jamie wants to ___________________________________________ ___________________________________________.

6. I Do - Teacher Example Jamie baked 12 oatmeal cookies and 16 chocolate chip cookies to package in plastic containers for her friends at school. She wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie. If she wants each container to have the greatest number of cookies possible, how many containers does she need? 2.)What Keywords are used in this problem? ______________________ and ___________________

7. I Do - Teacher Example Jamie baked 12 oatmeal cookies and 16 chocolate chip cookies to package in plastic containers for her friends at school. She wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie. If she wants each container to have the greatest number of cookies possible, how many containers does she need? 3. ) Solve using a factor tree to help you find the prime factorization of each number Answer: Jamie needs ________ containers

8. You Do - I Help There are 6 cellos, 12 violins, and 21 violins playing in an orchestra concert. Mr. Johnson wants them arranged in rows, and he wants each section to have the same number of rows. What is the greatest number of rows the orchestra would have? 1.)Use the checklist to figure out WHAT we are trying to do in this problem. In this problem ________________________________________ ___________________________________________________ 2.)What Keywords are used in this problem?

9. Bachelors Practice A. )Quixing has 36 glittery stickers and 12 heart stickers. She wants to divide the stickers evenly among her friends. Find the greatest number of friends that Quixing can give stickers to if each friends gets the same number of each type of sticker. 1.)Use the checklist to figure out WHAT we are trying to do in this problem. In this problem ______________________________________ _________________________________________________. 2.)What Keywords are used in this problem?

10. Bachelors Practice A A. )Quixing has 36 glittery stickers and 12 heart stickers. She wants to divide the stickers evenly among her friends. Find the greatest number of friends that Quixing can give stickers to if each friends gets the same number of each type of sticker.

11. Bachelors Practice B Ms. Vinceslio has 35 inches of purple ribbon and 28 inches of green ribbon. She needs to cut the ribbon into even pieces for an art project and doesn ’ t want to have any left over. What is the greatest length of ribbon pieces that she could use? 1.)Use the checklist to figure out WHAT we are trying to do in this problem. In this problem ______________________________________ _________________________________________________. 2.)What Keywords are used in this problem?

12. Bachelors Practice B B.) Ms. Vinceslio has 35 inches of purple ribbon and 28 inches of green ribbon. She needs to cut the ribbon into even pieces for an art project and doesn ’ t want to have any left over. What is the greatest length of ribbon pieces that she could use? 3.) Solve using a factor tree to help you find the prime factorization of each number Answer (in a complete sentence)