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November 30, 2012 Welcome to class! Write down your assignment in your agenda Get a marker board, marker, and eraser from the green table Think about something to share about your weekend November 30, 2012 Dividing Whole Numbers Notes REMEMBER~ Top drops in the box!! Solve. 148÷4 418÷21 256÷8 178,932÷6 721÷6 1,944÷27 The record for the largest attendance for a 7-game World Series is 394,716 in 1957 for the series between the Milwaukee Braves and New York Yankees. What is the average attendance per game of the series? November 30, 2012 Welcome to Class! Write your assignment in your agenda Put your homework assignment in the top left corner of your desk November 30, 2012 Prime Factorization Notes Divisibility Rules: Number Test for Divisibility 2 Number ends in 0, 2, 4, 6, or 8 3 Sum of the digits is divisible by 3 4 The number formed by the last 2 digits is divisible by 4 5 Number ends in 0 or 5 6 Number is even and divisible by 2 AND 3 8 The number formed by the last 2 digits are divisible by 8 9 Sum of the digits is divisible by 9 10 Number ends in 0 Test these numbers to see if they are divisible by 2, 3, 4, 5, 6, 8, 9, and 10. a) 456 b.) 100 Factors- whole number that divides another whole number with a remainder of _____________ Prime number- whole number with exactly _______________factors Composite number- whole number that has more than 2 __________________________ List all the factors for each of these numbers. a.) 27 b.) 48 Tell whether these numbers are prime or composite. a) 14 c.) 13 b) 11 d.) 35 Prime Factorization- writing a composite number as the product of its _________________factors Example 1: Example 2: Use a factor tree to write the prime Use a step diagram to write the prime factorization of 60. factorization of 72. Example 3: Your class of 36 students is on a field trip at the zoo. The teacher wants to break the class into groups of the same size. Find all the possible group sizes. November 30, 2012 Welcome to Class! Write down your assignment in your agenda Get a blue math book Put your homework on the top left corner of your desk Pass back papers PROBLEM OF THE WEEK! November 30, 2012 Greatest Common Factor Notes Factor-whole number that _______________another whole number evenly Common Factor- whole number that is a ____________factor of more than 1 number. Greatest Common Factor (GCF)- the _________________of all the common factors. Two Methods for finding the GCF: 1. Listing the ___________________ 2. Prime Factorization Example 1: Example 2: Find the GCF of 16 and 28 by listing the factors. Find the GCF of 18 and 32 by listing the factors. Factors of 16: Factors of 18: Factors of 28: Factors of 32: Example 3: Example 4: Find the GCF of 10 and 85 by using a factor tree. Find the GCF of 20, 55, 65 by using factor trees. Example 5: Find the GCF of 12, 24, 60 by using a step diagram Example 6: A science class with 15 girls and 12 boys is divided into groups where each group has the same number of boys and the same number of girls. What is the greatest number of groups that can be formed? How many boys and girls are in each group? November 30, 2012 Welcome to Class! Write down your assignment in your agenda Put your homework on the top left corner of your desk Come see me to pass back papers PROBLEM OF THE WEEK! November 30, 2012 Least Common Multiple Notes Multiple- _____________________of the number and a nonzero _______________number. HINT: Count by that number! Common Multiple- multiple that is _____________________by 2 or more numbers. Least Common Multiple (LCM)- the ________________________of the common multiples. Find the least common multiple (LCM) by listing the multiples. Example 1: Example 2: Multiples of 4: Multiples of 7: Multiples of 6: Multiples of 8: Use prime factorization to find the LCM. Example 3: Example 4: 24 30 36 72 Example 5: Find the least common multiple of 5, 8, and 12 by using factor trees. Example 6: Three tour buses leave the visitor’s center at 9:00 AM. Bus A returns to the visitor’s center every 2 hours, Bus B returns every 6 hours, and Bus C returns every 14 hours. How many hours will it be until all the buses return to the bus stop at the same time? November 30, 2012 November 30, 2012 Welcome to Class Write down your assignment in your agenda Put your homework on the top left corner of your desk Today is the last day to turn in Problem of the Week!! November 30, 2012 Adding and Subtracting Fractions Notes Adding Fractions: Steps: 1. Get a common ________________________________ 2. Add the _______________________________ 3. Simplify (reduce) 1 5 4 2 + + 8 8 5 3 3 5 + X; X = 8 12 Subtracting Fractions: 1. Get common _________________________________ 2. _________________the numerators **Can write VERTICALLY!** 3. Simplify (reduce) 13 9 3 1 - - 16 16 4 6 7 9 4 5 2 - + - 8 16 9 9 9 Example 8: Mark made a pizza with pepperoni covering of the pizza and onions covering another . What fraction of the pizza is covered by pepperoni and onions? November 30, 2012 Welcome to Class! Write down the assignment in your agenda Get a blue math book Come see me to pass back papers PROBLEM OF THE WEEK! November 30, 2012 Adding and Subtracting Mixed Numbers Notes Adding Mixed Numbers: 1. Get a common ______________________________ 2. Add the ________________________________ 3. Add the ________________________number 4. Simplify Solve. 2 2 3 3 2 +4 1 2 3 4 +2 3 5 3 4 6 +3 4 Subtracting Mixed Numbers: 1. Get a common ________________________________ 2. Subtract the ____________________________________ 3. Subtract the ______________________number Solve. 7 1 6 9 -4 9 6 1 -2 1 2 5 5 1 You bought 6 yards of ribbon and used 2 yards to make a pillow. How many yards of 6 9 ribbon did you have left? November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Come see me if you want to hand out papers REMEMBER: Try Problem of the Week!! Get a Bell Work Quiz from the back table November 30, 2012 Renaming to Subtract Mixed Numbers Notes 1 3 1 2 17 - 12 6 - 3 8 8 6 3 1 3 1 8 - 6 8-5 6 4 8 3 3 You have 4 cups of flour, and you need to use 1 4 15 - 3 4 cups for a cookie recipe. How much flour will you have left? November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Review your notes for the homework quiz Come see me if you would like to pass back papers November 30, 2012 Multiplying Fractions and Mixed Numbers Notes Multiplying Fractions: 1. Multiply ____________________________ 2. Multiply ____________________________ 5 2 x 8 3 1 7 6 9 . 3 7 . 28 Multiplying Mixed Numbers: 1. Change to ____________________fraction 2. Multiply ___________________________ 3. Multiply ___________________________ 1 2 1 5 5 4 x 2 4 x 4 3 3 8 1 1 The length of a track around a field is 4 miles. You jog 3 times around the track. How far 2 do you jog? November 30, 2012 November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Get a blue math book Get a Bell Work Quiz from the back table Come see me if you want to pass back papers November 30, 2012 November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Get a blue book Come see me if you want to pass back papers PROBLEM OF THE WEEK!!! November 30, 2012 Order of Operations Notes Order of Operations: 1. Parentheses 2. Exponents 3. Multiply/Divide (Left to Right) 4. Add/Subtract (Left to Right) Evaluate each expression. 27 - 18 ÷ 6 30 ÷ 3 - 4 . 2 (8 + 4) ÷ 4 - 2 5 + 62 . 10 (3 + 7) (6 - 3)2 8 . 3 4+2 November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Review Order of Operations (PEMDAS) for your homework quiz! Come see me if you want to hand back papers November 30, 2012 Order of Operations with Fractions and Mixed Numbers Notes 4 .3÷9 5 8 10 5 9 - 7 + 18 6 1 ( 1 + 2 3 ) 2 ÷1 1 2 ( 5 2 3 +3 1 2 ÷8 3 5) 3 3 + ÷ 2 7 4 20 5 8 . -1 November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Come see me if you want to pass back papers PROBLEM OF THE WEEK! November 30, 2012 Word Problems Notes Example 1: 7 The gas in your family's car was full8when you left your house. When you arrived 1 at your destination,the tank was 4 full. What fraction of a tank of gas did you use during the trip? Example 2: 3 1 On Saturday you hiked 4 miles. On Sunday, you hiked 3 8 miles. How far did you 2 hike during the weekend? Example 3: 1 To make a fruit punch drink, you use of cup 3 water. You want to make 6 drinks. How many cups of water do you need? Example 4: 1 Joanne has 13 yards of material to make costumes. Each complete costume 2 1 3 requires 1 2 yards for the top and 4 yard for the bottom. How many complete costumes can she make? November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of you desk Come see me if you want to pass back papers PROBLEM OF THE WEEK! Turn in all missing assignments November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Turn in all missing assignments BEFORE the test GOOD LUCK November 30, 2012 Helpful Hints: Adding & subtracting fraction--get a COMMON DENOMINATOR Dividing Fractions-- Leave me alone, Change my sign, Flip me over Prime Factorization--Use factor trees Order of Operations--PEMDAS Turn mixed numbers into improper fractions on gridded response answers

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posted: | 11/30/2012 |

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