Do NowDo Now

Imagine that you wanted to have hot dogs at a party. Imagine that you wanted to have hot dogs at a party. Hot dogs come in packages of 5 but hot dog buns Hot dogs come in packages of 5 but hot dog buns come in packages of 8. You don’t want to waste hot come in packages of 8. You don’t want to waste hot dogs or hot dog buns. So you need the same amount dogs or hot dog buns. So you need the same amount of hot dogs and hot dog buns. of hot dogs and hot dog buns.

1.1. How could you figure out how many packages of each How could you figure out how many packages of each to buy? to buy?

2.2. What is the smallest amount of packages you could What is the smallest amount of packages you could buy? How do you know?buy? How do you know?

Homework:Homework:

Least Common Least Common MultipleMultiple

Standard/ObjectiveStandard/Objective

6.N.16 Add and subtract 6.N.16 Add and subtract fractions with unlike fractions with unlike denominatorsdenominators

Objective:Objective: SWBAT find the multiples of a SWBAT find the multiples of a

number.number. SWBAT find the LCM.SWBAT find the LCM.

Flow of the DayFlow of the Day

Do Now 5 minDo Now 5 min Multiple practice 10 minMultiple practice 10 min Common multiple practice 15 minCommon multiple practice 15 min Independent practice 10 minIndependent practice 10 min Exit Slip Exit Slip Journal 10 minJournal 10 min

Review: ProductReview: Product

The answer to a The answer to a multiplication problem.multiplication problem.

6 X 6 = 36

What is the product?What is the product?

7 X 8 = 56

MultipleMultiple

The product of a whole number The product of a whole number multiplied times any other whole multiplied times any other whole number.number.

Some multiples of 6 6, 12, 18, 24, 30, 36, 42

Name some multiples of Name some multiples of 55

5, 10, 15, 20, 25, 30, 35

Name some multiples of Name some multiples of 77

7, 14, 21, 28, 35, 42, 49

Name some multiples of Name some multiples of 44

4, 8, 12, 16, 20, 24, 28

Name some multiples of Name some multiples of 99

9, 18, 27, 36, 45, 54, 63

Common MultipleCommon Multiple

A number that is a A number that is a multiple of two or more multiple of two or more numbers.numbers.

What are some Common What are some Common Multiples for 4 & 6?Multiples for 4 & 6?

4, 8, 12, 16, 20, 24, 28, 32, 36, 40

6, 12, 18, 24, 30, 36, 42, 48, 54, 60

Some multiples of 4

Some multiples of 6

What are some Common What are some Common Multiples for 4 & 5?Multiples for 4 & 5?

4, 8, 12, 16, 20, 24, 28, 32, 36, 40

5, 10, 15, 20, 25, 30, 35, 40, 45, 50

Some multiples of 4

Some multiples of 6

What are the first 5 What are the first 5 Common Multiples for 2 Common Multiples for 2

& 8?& 8?

8, 16, 24, 32, 40

What are the first 3 What are the first 3 Common Multiples for 3 Common Multiples for 3

& 7?& 7?

21, 42, 63

What are the first 3 What are the first 3 Common Multiples for 8 Common Multiples for 8

& 12?& 12?

24, 48, 72

Least Common MultipleLeast Common Multiple

The smallest common The smallest common multiple of a set of two or multiple of a set of two or more numbers.more numbers.

6 = 6, 12, 18, 24, 30, 36

5 = 5, 10, 15, 20, 25, 30

What is the Least What is the Least Common Multiple of 4 & Common Multiple of 4 &

88

8 = 8, 16, 24, 32, 40, 48 4 = 4, 8, 12, 16, 20, 24

What is the Least What is the Least Common Multiple of 6 & Common Multiple of 6 &

88

8 = 8, 16, 24, 32, 40, 48 6 = 6, 12, 18, 24, 30, 36, 42, 48

What is the Least What is the Least Common Multiple of 3 & Common Multiple of 3 &

99

9 = 9, 18, 27, 36, 45, 54 3 = 3, 6, 9, 12, 15, 21,

Individual workIndividual work

You will take turns using blocks to You will take turns using blocks to determine LCM. determine LCM.

When it is not your turn to use When it is not your turn to use blocks, you will work on a separate blocks, you will work on a separate sheet of paper. sheet of paper.

Independent workIndependent workExpectations: raise quiet hand to get out of seat, Expectations: raise quiet hand to get out of seat,

work silently on assignmentwork silently on assignment

Find the least common multiples of:Find the least common multiples of: 7 & 87 & 8 3 & 53 & 5 6 & 36 & 3 4 & 174 & 17 13 & 613 & 6 2 & 32 & 3

Exit SlipExit Slip

1.1. Name 3 multiples of 6.Name 3 multiples of 6.

2.2. Name common multiples of 4 and Name common multiples of 4 and 3.3.

3. What is the least common 3. What is the least common multiple of 5 & 10?multiple of 5 & 10?

4. What is the least common 4. What is the least common multiple of 7 and 3?multiple of 7 and 3?

JournalJournal

What did you learn today? How What did you learn today? How would you explain it to a third would you explain it to a third grader?grader?

Write at least 1 paragraph (4-6 Write at least 1 paragraph (4-6 sentences).sentences).

http://www.mesacc.edu/dept/d25/mat082/http://www.mesacc.edu/dept/d25/mat082/fractions/lcm/Cuisenaire_Rod_Class_Activity.pdffractions/lcm/Cuisenaire_Rod_Class_Activity.pdf

http://numberwarrior.wordpress.com/2009/04/22/http://numberwarrior.wordpress.com/2009/04/22/hot-dogs-and-buns-least-common-multiple/hot-dogs-and-buns-least-common-multiple/

http://www.wisc-online.com/objects/http://www.wisc-online.com/objects/ViewObject.aspx?ID=ABM4902ViewObject.aspx?ID=ABM4902

http://www.boostconference.org/PDF/http://www.boostconference.org/PDF/2011_workshops/Using%20Hands-On%20Activities,2011_workshops/Using%20Hands-On%20Activities,%20Games,%20and%20Literacy%20Connections%20Games,%20and%20Literacy%20Connections%20to%20Reach%20Diverse%20Student%20to%20Reach%20Diverse%20Student%20Needs%20-%20final.pdf%20Needs%20-%20final.pdf