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1. 25/120 2. 28/32 Find the GCF 3. 36 and 72 4. 56 and 88

1. 25/120 2. 28/32 Find the GCF 3. 36 and 72 4. 56 and 88

1. 25/120 2. 28/32 Find the GCF 3. 36 and 72 4. 56 and 88

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W­9­20<br />

Warm­up<br />

Write in simplest form:<br />

<strong>1.</strong> <strong>25</strong>/<strong>120</strong><br />

<strong>2.</strong> <strong>28</strong>/<strong>32</strong><br />

<strong>Find</strong> <strong>the</strong> <strong>GCF</strong><br />

<strong>3.</strong> <strong>36</strong> <strong>and</strong> <strong>72</strong><br />

<strong>4.</strong> <strong>56</strong> <strong>and</strong> <strong>88</strong><br />

9­20­10<br />

1


Lesson<br />

EQ: How do you use a cake to find <strong>the</strong> LCM?<br />

Goal: <strong>1.</strong>02<br />

21st: Demonstrating ability to work effectivity with diverse<br />

team.<br />

Goals: <strong>1.</strong>02<br />

9­20­10<br />

2


N­9­20<br />

Lesson <strong>4.</strong>4<br />

Least Common Multiple<br />

Multiple: A multiple of a number is<br />

<strong>the</strong> product of <strong>the</strong> number <strong>and</strong> any<br />

nonzero whole number.<br />

Example:<br />

2: 2, 4, 6, 8, 10, 12, ...<br />

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3


Common Multiple: A multiple that is<br />

shared by two or more numbers.<br />

Example:<br />

2: 2, 4, 6, 8, 10, 12, ...<br />

4: 4, 8, 12, 16, 20, ...<br />

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4


Least Common Multiple: The least of<br />

<strong>the</strong> common multiplies.<br />

Example:<br />

2: 2, 4, 6, 8, 10, 12, ...<br />

4: 4, 8, 12, 16, 20, ...<br />

9­20­10<br />

5


Example 1:<br />

<strong>Find</strong> <strong>the</strong> least common multiple of 7 <strong>and</strong> 8.<br />

The LCM of 7 <strong>and</strong> 8 is <strong>56</strong>.<br />

LCM 1x 7 x 8 = <strong>56</strong><br />

<strong>GCF</strong> 1<br />

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6


Example 2:<br />

<strong>Find</strong> <strong>the</strong> least common multiple of 12 <strong>and</strong> 16.<br />

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7


Example 3:<br />

<strong>Find</strong> <strong>the</strong> least common multiple of <strong>36</strong> <strong>and</strong> 7<strong>2.</strong><br />

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8


Example 4:<br />

<strong>Find</strong> <strong>the</strong> least common multiple of 24 <strong>and</strong> 30.<br />

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9


Example 5:<br />

<strong>Find</strong> <strong>the</strong> least common multiple of 84 <strong>and</strong> <strong>36</strong>0.<br />

9­20­10<br />

10


Example 6:<br />

<strong>Find</strong> <strong>the</strong> least common multiple of 2, 6, <strong>and</strong> 1<strong>4.</strong><br />

9­20­10<br />

11


9­20­10<br />

Using <strong>the</strong> LCM<br />

David <strong>and</strong> James are running laps on a quarter mile<br />

track. it takes James 3 minutes <strong>and</strong> David 4<br />

minutes to run once around <strong>the</strong> track. They both<br />

start running from <strong>the</strong> starting line at <strong>the</strong> same<br />

time. When will <strong>the</strong>y both be at <strong>the</strong> starting line<br />

again?<br />

12


Discussion Questions<br />

How do we use cake to find <strong>the</strong> LCM?<br />

How do we use cake to find <strong>the</strong> <strong>GCF</strong>?<br />

How do we use cake to find <strong>the</strong> Equivalent Fraction?<br />

9­20­10<br />

13


Quick Review!<br />

True or False!<br />

<strong>1.</strong> The <strong>GCF</strong> of 14 <strong>and</strong> 21 is 7. Prove!<br />

<strong>2.</strong> The LCM of <strong>25</strong> <strong>and</strong> 70 is 300. Prove!<br />

<strong>3.</strong> The simplest form of 48/<strong>72</strong> is 24/ <strong>36</strong>. Prove!<br />

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14


Quiz 2: <strong>GCF</strong>, Equivalent Fractions, LCM!<br />

Write out each problem!!! (Make sure you write out <strong>the</strong> letter so we can click it in later!)<br />

<strong>1.</strong> <strong>Find</strong> <strong>the</strong> <strong>GCF</strong> of 24 <strong>and</strong> 63<br />

A. 5 B. 3 C. 504 D. 78<br />

<strong>2.</strong> <strong>Find</strong> <strong>the</strong> LCM of 49 <strong>and</strong> <strong>56</strong><br />

A. 45 B. 67 C. 392 D. 7<br />

<strong>3.</strong> Write <strong>the</strong> fraction in simplest form: <strong>32</strong><br />

<strong>72</strong><br />

A. 4/9 B. 2/8 C. 16/<strong>36</strong> D. 12/47<br />

<strong>4.</strong> Write <strong>the</strong> fraction in simplest form: <strong>28</strong><br />

48<br />

A. 14/24 B. 8/48 C. 7/12 D. 7/48<br />

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15


Homework tonight! Will be based off how you did on <strong>the</strong><br />

quiz! If you made a 100, <strong>the</strong>n no homework! If you made<br />

below that.. fix your mistake on <strong>the</strong> quiz!<br />

I will check <strong>and</strong> give you extra points on <strong>the</strong> quiz grade!<br />

http://e­learningforkids.org/Courses/EN/M1105/index.html<br />

9­20­10<br />

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