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Monday, October 17 th 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?
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Weekly Review Answers
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Adding and Subtracting 26.5 6.6 10.4317
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Multiplying and Dividing Decimals 35.7 3.51.23
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Exponents 64 3^4 1
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Data Line Bar Circle
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Patterns 27 313 242
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Corny Joke of the Day What do planets read Comet Books
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Schedule for the Week Today: 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)
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Agree or Disagree 1. The prime factorization of 24 would be 2 x 3 x 4 2. 233 is divisible by 4 because the numbers add up to 8 3. The factors of 18 include 1,2,3,6,8, and 18 4. 63 is divisible by 7 5. Ms. Evans is from Minnesota
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Quiz Answers These are very similar to your TEST questions Please stop and ask questions
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When is the Test??!?!
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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
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Our Mission To find the Greatest Common Factor between 2 or more numbers
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What is it? Greatest Common Factor (GCF) - is the greatest (largest) of the common factors of two or more numbers
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There are 2 methods to finding the GCF Method #1 The Listing Method
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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
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Just Watch Find the GCF of 18 and 24 1. 18: 1, 2, 3, 6, 9, 18 24: 1, 2, 3, 4, 6, 8, 12, 24 2. Common factors: 1, 2, 3, and 6 3. The GREATEST common factor is 6!
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You Try! Find the GCF of each set of numbers 1. 16 and 24 2. 18 and 36
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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.
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Method #2 The Slide Method
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The “Slide” method - The slide method helps us break numbers down by looking at common factors. It is very helpful for finding GCF
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What it Looks Like 24 and 36 Discuss in groups: How would you describe to find the GCF using the Slide method
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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)
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Let’s try together! a. 48 and 72 b. 96 and 112
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Advantages It’s the most accurate and it helps with large numbers. It is also the method we will use for Least Common Multiple.
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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!
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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
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You Try! a. 24, 32 and 48 b. 120, 100, and 50
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ANY QUESTIONS?!?!?!?!
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Worktime Complete worksheet (evens) You may choose any method of your choice Complete in pencil
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