How do you solve real world problems using the Greatest Common Factor or Least Common Multiple?
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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?. 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?. - PowerPoint PPT Presentation
Transcript of 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?
In this lesson you will learn when to use the GCF and LCM to find solutions by
looking at real world problems.
A Common Misunderstanding
Misreading the problem.
Misinterpreting the solution. Remember: Close read and make
sense of the problem and solution!
Core LessonClose 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?
Core Lesson
Pierce 4 daysJoshua 3 days
Organize Information
Swims every
{4, 8, 12, 16, 20…}Multiples
{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.
Core Lesson 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
• to purchase or get multiple items of two or more different things in order to have enough
• about something that is or will be happening over and over
every three days and every four days
buns in packages of 12 and hot dogs in packages of 8
every 4 inches and every 10 inches
Core Lesson
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?
Close Read the Problem
Core Lesson
girls 16boys 12
Organize Information
{ 1, 2, 4, 8, 16}Factors
{ 1, 2, 3, 4, 6, 12}
The GCF of 16 and 12 is 4.answer
statement:The largest amount of groups with the same combination of girls and boys would be 4.
Class
Core Lesson When to look for the GCF
• to arrange two or more things in rows or groups
• to divide things into smaller sections
• figuring out how many people can be invited or receive something
8 inch piece of string and 24 inch piece of string
20 gumballs and 45 suckers
16 girls and 12 boys
In this lesson you have learned when to use the GCF and LCM to find solutions by looking at
real world problems.
