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Tuesday, April 10 th Please complete Warm up Simplify 1. 2.
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Online Assessments One side show your work One side just put answers If the computer works, then just print off your score and come with the work
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When is the Math Superbowl
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CW Answers Fractions
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Number Sense Factors Multiples Composite Divisiblity PrimeGCF Prime Factorization LCM
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Whole numbers that are multiplied to find a product are called factors of that product. A number is divisible by its factors. 23 6 = Factors Product 2 63 ÷ = 6÷2 = 3 6 is divisible by 3 and 2.
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Practice List all of the factors of 36 (1, 2, 3, 4, 6, 9, 12, 18, 36)
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Prime A Prime number is a number that has exactly 2 factors-1 and itself *2 is the only even, prime number
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Composite A Composite Number is a number that has more than 2 factors. *The number 1 is neither prime nor composite
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Rules of Divisibility
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Tell whether 540 is divisible by 6, 9, and 10 6 9 10 So 540 is divisible by 6, 9, and 10 The number is divisible by both 2 and 3. The sum of the digits is 5 + 4 + 0 = 9. 9 is divisible by 9. The last digit is 0. Divisible
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What Did Simba Do wrong? List all the Prime Numbers 1-13 1 3 5 7 13
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Prime Factorization Prime Factorization - writing a number as the product of its prime factors.
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Method #1 The Tree Method
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Choose any two factors of 24 to begin. Keep finding factors until each branch ends at a prime factor. Remember, 2 is PRIME 24 212 6 2 2 3 24 6 4 322 2 24 = 2 2 2 3 24 = 3 2 2 2 The prime factorization of 24 is 2 2 2 3, or 2 3 3. Write the prime factorization of 24.
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Practice Prime factorization of 32
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Prime Factorization Challenge
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Working Backwards
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What Did Dora Do wrong? 48 2 24 12 2 62 32 Answer: 2 3
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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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What is it? Greatest Common Factor (GCF) - is the greatest (largest) of the common factors of two or more numbers GCF must be SMALLER or equal to the largest of the two numbers
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There are 2 methods to finding the GCF Method #1 The Listing Method
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Practice 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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Method #2 The Slide Method
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What it Looks Like 24 and 36
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Practice Find GCF of: 48 and 72
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What if we have more than 2 numbers? Use the slide method! Do two numbers at a time 16, 12 and 24
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Practice 24, 32 and 48
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Multiples Multiples of a number must be equal to or LARGER than a number List the first 5 multiples of 3. 3, 6, 9, 12, 15
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Question of the Day What should I check first when finding the least common multiple?
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LCM Least Common Multiple- is the least (smallest) of the common multiples of two or more numbers *When finding the LCM you should always look to see if your largest number is the LCM
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What it Looks Like 18 and 24
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Practice Find the LCM of 18 and 24
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Word Problems 1.Think: am I finding a number larger or smaller than the ones they gave me? 2. Smaller: GCF Larger: LCM 3. DRAW IT OUT 4.When you find your answer think: does this answer make sense?
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#1 Pencils come in packages of 10. Erasers come in packages of 12. Phillip wants to purchase the smallest number of pencils and erasers so that he will have exactly 1 eraser per pencil. How many packages of pencils and erasers should Phillip buy?
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#3 Boxes that are 12 inches tall are being stacked next to boxes that are 18 inches tall. What is the shortest height at which the two stacks will be the same height?
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Classwork-Coach Books Page 17 (1, 4, and 8) Page 21 (1-7) Extra Credit: p. 38 (6 & 7)
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ANY QUESTIONS?!?!?!?!
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