Download Lesson 2-6 Least Common Multiple REVISED.notebook

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

page
1
page
2
page
3
page
4
page
5
page
6
page
7
page
8
page
9
page
10
page
11
page
12
page
13
page
14
page
15
page
16
Document related concepts
no text concepts found
Transcript 
Lesson 2­6 Least Common Multiple REVISED.notebook
November 14, 2016
Warm Up:
Find the greatest common factor of each set
of numbers.
1. 18 and 36
2. 40 and 16
1
Lesson 2­6 Least Common Multiple REVISED.notebook
November 14, 2016
Agenda:
1. Launch
2. Review Notes on Lesson 2­6 Least
Common Multiple
3. Independent Practice on Lesson
2­6
4. Homework: Complete LCM/GCF
worksheet ­ due Tues!!
2
Lesson 2­6 Least Common Multiple REVISED.notebook
November 14, 2016
Focus Question:
What does it mean for a number to
be the least common multiple of
two numbers?
3
Lesson 2­6 Least Common Multiple REVISED.notebook
November 14, 2016
Lesson 2 ­ 6 Least Common Multiple
Vocabulary:
equation ­
Multiple:
A multiple of a number is the product of
the number and a whole number.
Examples: Multiples of 5 are 5, 10, 15, 20, 25, ...
4
Lesson 2­6 Least Common Multiple REVISED.notebook
November 14, 2016
Lesson 2 ­ 6 Least Common Multiple
Similar to a common factor, a
common multiple is a multiple that
two or more numbers share.
equation ­
5
Lesson 2­6 Least Common Multiple REVISED.notebook
November 14, 2016
Lesson 2 ­ 6 Least Common Multiple
Vocabulary:
equation ­
Least
Common Multiple:
The least (or smallest) multiple shared by
all of the numbers. Also called LCM.
6
Lesson 2­6 Least Common Multiple REVISED.notebook
November 14, 2016
Lesson 2 ­ 6 Least Common Multiple
Methods for Finding the LCM
equation ­
Method 1: Use a list.
1. List the multiples of each number.
2. Find the smallest number that is in all
the lists
7
Lesson 2­6 Least Common Multiple REVISED.notebook
November 14, 2016
Lesson 2 ­ 6
Least Common Multiple
What is least common multiple
of 2 and 5?
equation ­
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ...
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, ...
The numbers 2 and 5 have many common
multiples. The first two are 10 and 20.
The LCM of 2 and 5 is 10!
8
Lesson 2­6 Least Common Multiple REVISED.notebook
November 14, 2016
Lesson 2 ­ 6 Least Common Multiple
Example 1: What is the least common multiple of
3 and 4? Use the list method.
9
Lesson 2­6 Least Common Multiple REVISED.notebook
November 14, 2016
Lesson 2 ­ 6 Least Common Multiple
Methods for Finding the LCM
equation ­
Method 2: Use prime factorization.
1. Find the prime factorization of each
number.
2. Write your prime factorizations using
exponents.
3. Then use the greatest power of each
factor to make a new product.
10
Lesson 2­6 Least Common Multiple REVISED.notebook
November 14, 2016
Lesson 2 ­ 6 Least Common Multiple
Find the LCM of 6 and 9 using the prime
factorization method.
equation ­
Prime factorization of 6:
Prime factorization of 9:
Multiply greatest power of each factor:
11
Lesson 2­6 Least Common Multiple REVISED.notebook
November 14, 2016
Lesson 2 ­ 6
Least Common Multiple
Example 2: Find the LCM of 8 and 12. Use the
prime factorization method.
12
Lesson 2­6 Least Common Multiple REVISED.notebook
November 14, 2016
Lesson 2 ­ 6 Least Common Multiple
Lesson Check: Find the LCM of the set of numbers
using whatever method you prefer.
Problem #1:
6 and 20
Problem #2:
15, 6 and 4
13
Lesson 2­6 Least Common Multiple REVISED.notebook
November 14, 2016
Focus Question:
What does it mean for a number to
be the least common multiple of
two numbers?
14
Lesson 2­6 Least Common Multiple REVISED.notebook
November 14, 2016
Classwork:
1. LCM worksheet ­ complete both
sections for Homework ­ due tomorrow!
2. Open Notes Quiz on GCF & LCM
15
Attachments
distributiveproperty.webloc
Related documents