lesson 48 l c m - catholic church | school | parish - … lcm note… ·  · 2016-11-21apr 79:10...

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48 LCM 2016.notebook 1 November 21, 2016 Nov 15:33 PM Daily Do from last class Homework Answers 46: 1. 26% 2. 5% 3. 13% 4. 39% 5. 12.5% 6. 51% 7. 70% 8. 12% 9. 65% 10. 60% 11. 35% 12. 60% 13. 92% 14. 30% 15. 34% 16. 3/20 17. 17/20 18. 1/100 19. 7/10 20. 1/4 21. 19/100 22. 33/100 23. 11/50 24. 19/20 Homework Answers 47 1. 0.05 2. 0.2 3. 0.21 4. 0.83 5. 0.07 6. 0.56 7. 0.16 8. 0.45 9. 0.273 10. 0.149 11. 0915 12. 0.293 13. 0.144 14. 0.8 15. 0.075 16. 0.105 17. 6% 18. 13% 19. 50% 20. 74% 21. 14% 22. 92% 23. 54% 24. 66% 25. 19.2% 26. 29.5% 27. 91.1% 28. 24.7% 29. 41.65% 30. 21.99% 31. 76.01% 32. 48.33% Convert 6.5% into a decimal Convert 5.042 into a percent Apr 411:53 AM Least Common Multiple LESSON 48

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Page 1: LESSON 48 L C M - Catholic Church | School | Parish - … LCM Note… ·  · 2016-11-21Apr 79:10 AM Use the Cake ... LCM. * Nov 217:47 AM 5r2y and 15ry. 48 LCM 2016.notebook 7 November

4­8 LCM 2016.notebook

1

November 21, 2016

Nov 1­5:33 PM

Daily Do from last class Homework Answers 4­6:1.  26% 2. 5% 3. 13%   4. 39%

5. 12.5% 6. 51% 7. 70% 8. 12%

9. 65% 10. 60% 11. 35%

12. 60% 13. 92% 14. 30%

15. 34% 16. 3/20 17. 17/20

18. 1/100 19. 7/10 20. 1/4

21. 19/100 22. 33/100 23. 11/50

24. 19/20

Homework Answers 4­7

1. 0.05 2.  0.2 3. 0.21    4. 0.83

5. 0.07 6. 0.56 7.  0.16    8. 0.45

9.  0.273 10. 0.149 11. 0915

12. 0.293 13. 0.144 14. 0.8

15. 0.075 16. 0.105 17. 6%

18. 13% 19. 50% 20. 74%

21. 14% 22. 92% 23. 54%

24. 66% 25. 19.2% 26. 29.5%

27. 91.1%    28. 24.7% 29. 41.65%

30. 21.99%   31. 76.01%  32. 48.33%

Convert  6.5%  into a decimal

Convert  5.042 into a percent

Apr 4­11:53 AM

Least

Common

Multiple

LESSON 4­8

Page 2: LESSON 48 L C M - Catholic Church | School | Parish - … LCM Note… ·  · 2016-11-21Apr 79:10 AM Use the Cake ... LCM. * Nov 217:47 AM 5r2y and 15ry. 48 LCM 2016.notebook 7 November

4­8 LCM 2016.notebook

2

November 21, 2016

Nov 7­11:15 AM

Objective:  To be able to find the least common multiples by listing, factorization, and cake method.

Virtue/Skill:  Understanding things from different perspectives, help you to understand shortcuts.  We should be building on what we know to solve things we do not know.

Apr 4­11:54 AM

To find the least common multiple:

1­ make a list of multiples for each number. Locate the first lowest multiple they have in common.

(with practice you'll be able to do this mentally)

6: 6, 12, 18, 24, 30, 36, 42, 48, 54

9: 9, 18, 27, 36, 45, 54, 63, 72, 81The LCM is 18

LCM by Making a List

Page 3: LESSON 48 L C M - Catholic Church | School | Parish - … LCM Note… ·  · 2016-11-21Apr 79:10 AM Use the Cake ... LCM. * Nov 217:47 AM 5r2y and 15ry. 48 LCM 2016.notebook 7 November

4­8 LCM 2016.notebook

3

November 21, 2016

Apr 7­7:45 AM

LCM by Prime Factorization

18, 108 42, 96#1 #2

Compare prime factorizations, only use the common factors once and multiply the leftovers 

Apr 4­1:16 PM

2­ find the prime factorization of each number. Identify ALL prime factors, for each prime factor write down the greatest number of times it appears in any number and multiply them together. 

6 9

3 2 3 3

2 x 3 x 3= 18

LCM= 18

322 x 3

** Use ALL the prime numbers­ the maximum times for each number

Page 4: LESSON 48 L C M - Catholic Church | School | Parish - … LCM Note… ·  · 2016-11-21Apr 79:10 AM Use the Cake ... LCM. * Nov 217:47 AM 5r2y and 15ry. 48 LCM 2016.notebook 7 November

4­8 LCM 2016.notebook

4

November 21, 2016

Apr 4­1:27 PM

FActor out the GCF and multiply that by bottom layer of cake

2 x 2 x 3 x 3 x 5

LCM= 180

LCM by Cake Method

9    12   15

Nov 21­9:56 AM

Page 5: LESSON 48 L C M - Catholic Church | School | Parish - … LCM Note… ·  · 2016-11-21Apr 79:10 AM Use the Cake ... LCM. * Nov 217:47 AM 5r2y and 15ry. 48 LCM 2016.notebook 7 November

4­8 LCM 2016.notebook

5

November 21, 2016

Apr 7­9:10 AM

Use the Cake Method to find the LCM of the set of numbers.

18, 21, and 24

2 x 2 x 2 x 3 x 3 x 7

504

When two #s share more factors

Apr 7­9:28 AM

Using prime factorization find the LCM of the set of numbers.

9, 23, 64

Page 6: LESSON 48 L C M - Catholic Church | School | Parish - … LCM Note… ·  · 2016-11-21Apr 79:10 AM Use the Cake ... LCM. * Nov 217:47 AM 5r2y and 15ry. 48 LCM 2016.notebook 7 November

4­8 LCM 2016.notebook

6

November 21, 2016

Nov 14­1:30 PM

If the set of numbers has one prime number and one composite number­­ and the prime number IS NOT a factor of the composite.... just multiply the two numbers together to find the LCM.

*

Nov 21­7:47 AM

5r2y   and 15ry

Page 7: LESSON 48 L C M - Catholic Church | School | Parish - … LCM Note… ·  · 2016-11-21Apr 79:10 AM Use the Cake ... LCM. * Nov 217:47 AM 5r2y and 15ry. 48 LCM 2016.notebook 7 November

4­8 LCM 2016.notebook

7

November 21, 2016

Nov 13­6:13 PM

Assignment: Workbook 4­8

SummaryObjective:  To be able to find common multiples.  To be able to find the least common multiples by listing, factorization, and cake method.

Virtue/Skill:  Understanding things from different perspectives, help you to understand shortcuts.  We should be building on what we know to solve things we do not know.

Oct 26­7:09 AM

Exit Question

What is the LCM of 15,18,30