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How do you solve real world problems using the Greatest Common Factor or Least Common Multiple?

How do you solve real world problems using the Greatest Common Factor or Least Common Multiple?. Pierce swims every fourth day and Joshua swims every third day. If they both swim on the first of the month, on what date will they both swim together again?.

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How do you solve real world problems using the Greatest Common Factor or Least Common Multiple?

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  1. How do you solve real world problems using the Greatest Common Factor or Least Common Multiple? Pierce swims every fourth day and Joshua swims every third day. If they both swim on the first of the month, on what date will they both swim together again?

  2. In this lesson you will learn when to use the GCF and LCM to find solutions by looking at real world problems.

  3. Remember: Close read and make sense of the problem and solution! Misreading the problem. Misinterpreting the solution.

  4. Close Read the Problem Pierce swims every fourth day and Joshua swims every third day. If they both swim on the first of the month, on what date will they both swim together again?

  5. Organize Information Multiples Swims every Pierce 4 days Joshua 3 days {4, 8, 12, 16, 20…} {3, 6, 9, 12, 15…} The LCM of 4 and 3 is 12. answer statement: The next time Pierce and Joshua swim together will be on the 12th day of the month.

  6. When to look for the LCM • to figure out when two or more events will happen again at the same time or on the same date every three days and every four days buns in packages of 12 and hot dogs in packages of 8 • to purchase or get multiple items of two or more different things in order to have enough every 4 inches and every 10 inches • about something that is or will be happening over and over

  7. Close Read the Problem Nhya has 16 girls and 12 boys in his class. He helps his teacher by making groups which have the same combination of girls and boys. What is the largest number of groups that can be made without leaving anyone out?

  8. Organize Information Factors Class { 1, 2, 4, 8, 16} girls 16 boys 12 { 1, 2, 3, 4, 6, 12} The GCF of 16 and 12 is 4. The largest amount of groups with the same combination of girls and boys would be 4. answer statement:

  9. When to look for the GCF • to arrange two or more things in rows or groups 16 girls and 12 boys 8 inch piece of string and 24 inch piece of string • to divide things into smaller sections • figuring out how many people can be invited or receive something 20 gumballs and 45 suckers

  10. In this lesson you have learned when to use the GCF and LCM to find solutions by looking at real world problems.

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