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THE NUMBER SYSTEMDAY 12Van Siclen Community Middle School

Mr. EGrade 6 MathematicsClass 602/603/604/605

December 2, 2014

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TODAYS LESSON LINK!

www.tinyurl.com/vscmath67

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DO NOW4 M

Mr. E is creating writing kits with pens and pencils for students in VSC Mawants to distribute the pens and pencils evenly in each kit so there are nover. If there are 15 pencils and 5 pens, what is the greatest number of can make?

How many pencils will be in each kit?

How many pens will be in each kit?

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LESSON OVE

We are getting closer to our nexttopic: negative and positivenumbers!

Mr. E is very proud of you all for yourresponsibility, effort, andcollaborationwith each other! If we

want to be successful in math, weneed to keep doing these three!

We will continue to learn aboutfactors and multiples.

Todays topic is called Common Multiple

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GREATEST COMMON

The least common multipleof two whole numbers is the smallest (least) wh

that is a multipleof both whole numbers.

Mathematicians who have mastered finding the least common multiabbreviate it by calling it LCM

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FINDING THE LEAST COMMON MULTIPLE (LCM)

Lets practice finding the greatest common factor! Lets find the least commof 6 and 9.

List the first ten multiples of 6.

List the first ten multiples of 9.

Circle the common multiples (the multiples that appear on BOTH of your

Place a rectangle around the LEAST common multiple (the LEAST of these

6: ____, ____, ____, ____, ____, ____, ____, ____, ____, ____.

What is the LCM(6, 9)? How do we know?

9: ____, ____, ____, ____, ____, ____, ____, ____, ____, ____.

Did we really havmultiples for eacExplain.

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FINDING THE LEAST COMMON MULTIPLE (LCM)

This time, Lets find the LCM (3, 8).

Is it necessary to list 10 multiples for each number? How do you know?

Should we start by writing the multiples of the larger or the smaller of the two numbeones makes finding the LCM easier? Why/How do you know?

What is the LCM(3, 8)? How do we know?

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FIND THE LEAST COMMON MULTIPLE (LCM)

Lets practice finding the least common multiple! Each group will have to find the leamultiple between a pair of numbers.Remember:

List the multiples of the numbers (it may be helpful to list the multiples of the LARGfirst).

Circle the common multiples.

Place a rectangle around the SMALLEST/LEAST common multiple.

Group A: LCM (9, 12)

Group B: LCM (8, 9)

Group C: LCM (4, 15)

Group D: LCM (12, 30)

Group E: LCM (20, 50)

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FIND THE LEAST COMMON MULTIPLE (LCM)

#1: LCM (4, 8)

#2: LCM (5, 30)

#3: LCM (25, 50)

#4: LCM (6, 18)

Do you notice a pattern?Come up with an explanationin your groups to explain.

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PRACTICE5 M

Hot dogs come packed 4 in a package. Hot dog buns come papackage. If we want one hot dog for each bun for a picnic, withover, what is the least amount of hot dogs and buns we need to

How many packages of hot dogs do we need to buy?

How many packages of buns do we need to buy?

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PRACTICE5 M

Mr. Campbell and Mr. E are creating new questions for VSC Mathmakes a new problem every 5 minutes and Mr. Campbell makesproblem every 6 minutes. If they both start at 5PM, when is the newill both make a problem at the same time?

b) How many problems will Mr. E have made?

c) How many problems will Mr. Campbell have made?

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PRACTICE5 M

Starting at 3PM, a bus makes a stop by the street corner every 15Also starting at 3PM, a taxi cab stops by the street corner every 1When is the next time there will be a bus and a taxi at the corner same time?

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HOMEWORKDEC. 3, 2014- SHOW ALL

1) Ms. Lee is buying hot dogs and hot dog buns for the VSC barbecue. come in packs of 12 and hot dog buns come in packs of 9. Ms. Lee wannumber of hot dogs as hot dog buns. What is the smallest number of hoMs. Lee can buy?

a) How many packs of hotdogs should she buy?

b) How many packs of buns should she buy?

2) Mr. Dunne and Mr. Spence are excited about a new store. Each weeplans to spend $4 there, and Mr. Spence plans to spend $5 there. A fewnow, they are surprised that they have spent the exact same amount othis store. What is the lowest amount of money they could have spent aWhat is the least possible number of times that Mr. Spence has went to