Monday, October 17th
• Please take a new warm up and complete todays
• Write down the homework!
1.Find the prime factorization of 72?
2. Is 3,456 divisible by 4? Why?
Warm Up
Weekly Review Answers
Adding and Subtracting
26.56.610.4317
Multiplying and Dividing Decimals
35.73.51.23
Exponents
643^41
Data
LineBarCircle
Patterns
27 313242
Corny Joke of the Day
What do planets read
Comet Books
Schedule for the WeekToday: Review Quiz and Greatest Common Factor Notes Tuesday: Least Common Multiple Wednesday: (sub) GCF and LCM word problems, *Get study guide Thursday: (field trip) Study guide answers Friday: TEST (this could change)
Agree or Disagree1. The prime factorization of 24
would be 2 x 3 x 42. 233 is divisible by 4 because
the numbers add up to 83. The factors of 18 include
1,2,3,6,8, and 184. 63 is divisible by 7 5. Ms. Evans is from Minnesota
Quiz Answers These are very
similar to your TEST questions
Please stop and ask questions
When is the Test??!?!
Getting to know your partner
I want you to turn to the person sitting next to you and come up with at least 4 things that you both like
Are these commonalities more like:
Factors or Multiples What is one thing that we all like?
This is our GREATEST COMMON FACTOR
Our MissionTo find the Greatest Common
Factor between 2 or
more numbers
What is it?Greatest Common Factor
(GCF)- is the greatest (largest) of the common factors of two or more
numbers
There are 2 methods to finding the GCF
Method #1The Listing Method
Steps
1. Write down the factors of each number
2.Circle the common factors.
3. The largest one is the Greatest Common Factor, or GCF
Just WatchFind the GCF of 18 and 241. 18: 1, 2, 3, 6, 9, 18 24: 1, 2, 3, 4, 6, 8, 12, 242. Common factors: 1, 2, 3,
and 63. The GREATEST common
factor is 6!
You Try! Find the GCF of each set of
numbers 1. 16 and 24
2. 18 and 36
Is this method good?Advantages
This method is quick and easy for numbers we are
very familiar with 6, 8, 12, 10, 20
etc.
Disadvantages A huge disadvantage
to this method is that we can make mistakes very easily!
This is not the recommended method for solving most GCF problems.
Method #2
The Slide Method
The “Slide” method- The slide method helps us break numbers down by looking at common factors. It is very helpful for finding GCF
What it Looks Like24 and 36
Discuss in groups: How would you describe to find the GCF using the
Slide method
Steps to Slide Method 1. Begin by looking at
your two numbers- identify a common factor
2. Write the Common factor to the left, outside your “slide”
3. Divide all numbers by the common factor, and write them below the slide.
4. Look at your quotients from step 3- do you have any common
factors? If so repeat steps 2 and 3 until the quotients have no factors in common- it can take as many steps as you need to get there.
5. To find the GCF, multiply all the common factors (the numbers to the left outside the slide)
Let’s try together! a. 48 and 72
b. 96 and 112
AdvantagesIt’s the most
accurate and it helps with large
numbers. It is also the method we will
use for Least Common Multiple.
You Try! Complete the 6 problems
Choose any way you wish!
When you are done raise your hand and then help others in your group!
What if we have more than 2 numbers?
Use the slide method!
Do the same steps with three numbers!
Remember to pick a common factor for all 3 numbers!
16, 12 and 24
You Try! a. 24, 32 and 48
b. 120, 100, and 50
ANY QUESTIONS?!?!?!?!
WorktimeComplete
worksheet (evens)
You may choose any method of your choice
Complete in pencil
Remember
To Show Work!