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Do Now
AIM: Greatest Common Factor
and Least Common Multiple
Weekly Quiz #6
2
Weekly Quiz #6
1.) Write the following numbers in scientific notation. [1
point]
a.) 45,000,000 b.) 0.00007
2.) Write the following numbers in standard notation. [1
point]
a.) 2.3 X 10-7 b.) 8.0 X 105
3.) Order the following numbers written in scientific
notation from least to greatest. [1 point]
9.4 X 10-8
, 9.4 X 10-7
, 4.53 X 10-9
4.) Find the Greatest Common Factor of the following
numbers using the prime factorization method. [2 point]
12 and 30
GCF = _____
5.) Write the following as a fraction and a decimal. [1 point]
10-4
Fraction = _____ Decimal = _____
3
The BIG Idea
Create a Venn Diagram based on the similarities and differences
between Greatest Common Factor and Least Common Multiple.
Use yesterday‛s BEFORE YOU LEAVE as you complete the Venn
Diagram.
4
Greatest Common Factor Least Common Multiple
5
Find the greatest common factor and least common
multiple of the following numbers.
1.) 32, 80
Greatest Common Factor = _____
Least Common Multiple = _____
6
Find the greatest common factor and least common
multiple of the following numbers.
2.) 9, 27, 45
Greatest Common Factor = _____
Least Common Multiple = _____
7
Find the greatest common factor and least common
multiple of the following numbers.
3.) 50, 71
Greatest Common Factor = _____
Least Common Multiple = _____
8
Answer the following word problems by finding either the
greatest common factor or least common multiple.
4.) House representatives are elected every two years. The
President of the United States is elected every four years.
Senators are elected every six years. You will vote for all three
in 2004. When is the next year after 2004 all three will be
elected again?
9
5.) The math clubs from 3 schools agreed to a
competition. Members from each club must be divided
into teams, and teams from all clubs must be equally
sized. What is the greatest number of members that
can be on a team if Georgia High has 16 members,
Williams High has 24 members, and Fulton High has 72
members?
10
6.) Two bicycle enthusiasts are leaving Cincinnati at
the same time. One is biking 840 miles to Boston. The
other is biking 440 miles to Atlanta. What is the
greatest number of miles a day each can bike if they
want to cover equal distances each day?
11
7.) Two dancers are rehearsing in a studio. One
dancer‛s routine lasts 12 minutes. The other dancer‛s
routine lasts 15 minutes. If they start together and
take no breaks between their routines, how long
before they start together again?
12
BEFORE YOU LEAVE
1.) Describe how you determine if a situation
should be solved using either the Greatest Common
Factor or the Least Common Multiple of the
numbers involved.
13
Homework: Math in the News Project
Mr. Tjersland's Math 7
14

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Day 12 gcf lcm word problems

  • 1. 1 Do Now AIM: Greatest Common Factor and Least Common Multiple Weekly Quiz #6
  • 2. 2 Weekly Quiz #6 1.) Write the following numbers in scientific notation. [1 point] a.) 45,000,000 b.) 0.00007 2.) Write the following numbers in standard notation. [1 point] a.) 2.3 X 10-7 b.) 8.0 X 105 3.) Order the following numbers written in scientific notation from least to greatest. [1 point] 9.4 X 10-8 , 9.4 X 10-7 , 4.53 X 10-9 4.) Find the Greatest Common Factor of the following numbers using the prime factorization method. [2 point] 12 and 30 GCF = _____ 5.) Write the following as a fraction and a decimal. [1 point] 10-4 Fraction = _____ Decimal = _____
  • 3. 3 The BIG Idea Create a Venn Diagram based on the similarities and differences between Greatest Common Factor and Least Common Multiple. Use yesterday‛s BEFORE YOU LEAVE as you complete the Venn Diagram.
  • 4. 4 Greatest Common Factor Least Common Multiple
  • 5. 5 Find the greatest common factor and least common multiple of the following numbers. 1.) 32, 80 Greatest Common Factor = _____ Least Common Multiple = _____
  • 6. 6 Find the greatest common factor and least common multiple of the following numbers. 2.) 9, 27, 45 Greatest Common Factor = _____ Least Common Multiple = _____
  • 7. 7 Find the greatest common factor and least common multiple of the following numbers. 3.) 50, 71 Greatest Common Factor = _____ Least Common Multiple = _____
  • 8. 8 Answer the following word problems by finding either the greatest common factor or least common multiple. 4.) House representatives are elected every two years. The President of the United States is elected every four years. Senators are elected every six years. You will vote for all three in 2004. When is the next year after 2004 all three will be elected again?
  • 9. 9 5.) The math clubs from 3 schools agreed to a competition. Members from each club must be divided into teams, and teams from all clubs must be equally sized. What is the greatest number of members that can be on a team if Georgia High has 16 members, Williams High has 24 members, and Fulton High has 72 members?
  • 10. 10 6.) Two bicycle enthusiasts are leaving Cincinnati at the same time. One is biking 840 miles to Boston. The other is biking 440 miles to Atlanta. What is the greatest number of miles a day each can bike if they want to cover equal distances each day?
  • 11. 11 7.) Two dancers are rehearsing in a studio. One dancer‛s routine lasts 12 minutes. The other dancer‛s routine lasts 15 minutes. If they start together and take no breaks between their routines, how long before they start together again?
  • 12. 12 BEFORE YOU LEAVE 1.) Describe how you determine if a situation should be solved using either the Greatest Common Factor or the Least Common Multiple of the numbers involved.
  • 13. 13 Homework: Math in the News Project Mr. Tjersland's Math 7
  • 14. 14