Lesson #26 - GCF and LCM

8/10/2019 Lesson #26 - GCF and LCM

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THE NUMBER SYSTEMDAY 11Van Siclen Community Middle School

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

December 1, 2014


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TODAYS LESSON LINK!

www.tinyurl.com/vscmath66


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DO NOW5 M

3

8of a number is 12. What is the

number?

Write 4 8 as a fraction.

1323

5+ 126

3

4


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LESSON OVE

We are very close to VSC Mathsnew topic: 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!

This week we will learn about factorsand multiples.

Todays topic is called Common Factor and LeCommon Multiple


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GREATEST COMMON

The greatest common factorof two whole numbers is the largest numthat is a factor of both whole numbers.

Mathematicians who have mastered finding the greatest common faabbreviate it by calling it GCF


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FINDING THE GREATEST COMMON FAC

Lets practice finding the greatest common factor! Lets find the greatest common factor o

Listing factor pairs in order will help us not miss any factors. Start with one times the num Circle all factors that appear on both l ists (common factors).

Place a triangle around the GREATEST common factor.

1 12 1 1

12 18

What is the GCF(12, 18)? How do you know?


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FINDING THE GREATEST COMMON FAC

We can also find the greatest common factor using a Venn Diagram! This time, Lgreatest common factor of 16 and 24.

Listing factor pairs in order will help us not miss any factors. Start with one time Place all of the common factors in the middle of the Venn diagram

The largest number in the middle of the diagram is the greatest common fact

What is theHow do yo

16 24


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FIND THE GREATEST COMMON FACTOR (GCF

Lets practice finding the greatest common factor! Each group will have to find the gcommon factor between a pair of numbers.Remember:

Listing factor pairs in order will help us not miss any factors. Start with one times the

Circle all factors that appear on both lists (common factors). Or, if you like the Vebe sure to place all common factors in the middle!


Group A: GGroup B: G

Group C: GGroup D: GGroup E: G


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FIND THE GREATEST COMMON FACTOR (GCF

Lets continue to practice finding the greatest common factor! Remember:

Listing factor pairs in order will help us not miss any factors. Start with one

number. Circle all factors that appear on both lists (common factors). Or, if you like

diagram, be sure to place all common factors in the middle!


#1: GCF (4#2: GCF (5#3: GCF (2

#4: GCF (6Do you noticeCome up within your groups


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PRACTICE5 M

Mr. E bought a package of 18 notebooks. He also bought a pacpencils. He wants to use all of the notebooks and pencils to makefor his students. What is the greatest number of sets Mr. E can maof his supplies?

How many notebooks and pencils will be in each set?


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PRACTICE5 M

There are 18 girls and 24 boys who want to participate in Mr. Es mIf each team must have the same number of girls and boys, whagreatest number of teams that can enter?

How many boys and girls will be on each team?


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PRACTICE5 M

Mr. E made 60 addition questions and 48 subtraction questions. Huse all of the questions he made to create math tests. If each testhe same number of addition and subtraction questions, what is tnumber of tests he can make using all of the addition and subtraquestions?

How many addition and subtraction questions will be on each te


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HOMEWORK DEC 2, 2014SHOW ALL

1) Mr. E is having a VSC Math picnic. He has 20 crackers and 8 slicecheese. If Mr. E wants each plate to be identical, with no food left is the greatest number of plates he can prepare?

a) How many crackers will be in each plate?

b) How many slices of cheese will be in each plate?

2) Mr. E has 7 packs of sugar and 14 packs of tea. He wants to makusing the same number of sugar and tea packs, with none leftovergreatest number of groups he can make?

a) How many packs of sugar will be in each group?

b) How many packs of tea will be in each group?

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Lesson #26 - GCF and LCM