2. Becky Afghani, LBUSD Math Curriculum Office, 2003 Snack Problem! Serena wants to create snack bags for a trip she is going on. She has 6 granola and 10 pieces of fruit. If the snack bags should be identical without any food left over, what is the greatest amount of snack bags Serena can make?

3. Becky Afghani, LBUSD Math Curriculum Office, 2003

4. Cookout Problem! Hot dogs come in packages of 8. Hot dog buns come in packages of 12. Grace wants to have an equal amount of buns and hot dogs so that every bun has a hot dog. How many individual hot dogs and buns will she need so that every hot dog has a bun with nothing left over? How many packs of each will she need?

5. Becky Afghani, LBUSD Math Curriculum Office, 2003

6. Snack Problem! Serena wants to create snack bags for a trip she is going on. She has 6 granola and 10 pieces of fruit. If the snack bags should be identical without any food left over, what is the greatest amount of snack bags Serena can make? Cookout Problem! Hot dogs come in packages of 8. Hot dog buns come in packages of 12. Grace wants to have an equal amount of buns and hot dogs so that every bun has a hot dog. What is the least amount of packs of each that will she need to buy so she has no buns or hot dogs left over? How are the two problems similar? How are the two problems different?

7. Becky Afghani, LBUSD Math Curriculum Office, 2003 Snack Problem! Cookout Problem!

8. The Listing Method For Finding GCF MCC6.NS.4MCC6.NS.4: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12.

9. Becky Afghani, LBUSD Math Curriculum Office, 2003 What are factors? Factors are numbers used in a multiplication problem.

10. Becky Afghani, LBUSD Math Curriculum Office, 2003 What is meant by the Greatest Common Factor? The GCF is the largest factor shared by two or more numbers. The GCF of 28 and 30 is 6.

11. The Ladder or Cake Method For Finding GCF

12. Becky Afghani, LBUSD Math Curriculum Office, 2003 Use the ladder to find the GCF of 28 and 70 You will divide out any common factors of the two numbers What number goes into both 28 and 70? Now divide both 28 and 70 by the 2 Does any # go into both 14 and 35? Yes? Divide both 14 and 35 by 7

13. Becky Afghani, LBUSD Math Curriculum Office, 2003 What about the Greatest Common Factor (GCF) of 28 and 70? The GCF is the product of all the numbers on the left. The GCF of 28 and 70 is 14.

14. Becky Afghani, LBUSD Math Curriculum Office, 2003 Which numbers in the ladder give you the GCF? Multiply the numbers on the left only for the GCF.

15. Becky Afghani, LBUSD Math Curriculum Office, 2003 x x Find the GCF. = 12 The GCF of 24 and 60 is 12.

16. Becky Afghani, LBUSD Math Curriculum Office, 2003 Practice. Find the GCF for 28 and 42. GCF = 2  7 = 14

17. GCF Problems Do we have to split things into smaller sections? Are we trying to figure out how many people we can invite? Are we trying to arrange something into rows or groups? Do we have the greatest amount we can have? LCM Problems Do we have an event that is or will be repeating over and over? Will we have to purchase or get multiple items in order to have enough? Are we trying to figure out when something will happen again at the same time?