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Adding, Subtracting, Multiplying, and Dividing Fractions
By: Mr. Menjivar
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Add, Subtract, Multiply, and Divide Fractions Reflection
Observe, Question, Comment 09/02/11 09/02/11 Add, Subtract, Multiply, and Divide Fractions Reflection Add, Subtract, Multiply, and Divide Fractions Warm-Up: 8L 8R 2
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Warm-Up Change the Improper Fraction to Mixed Number
#1) #2) Change the Mixed Number to Improper Fraction #3) #4)
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Add, Subtract, Multiply, and Divide Fractions Reflection
Observe, Question, Comment 09/02/11 09/02/11 Add, Subtract, Multiply, and Divide Fractions Reflection Add, Subtract, Multiply, and Divide Fractions Warm-Up: Standard 8L 8R 4
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Standard Number Sense 2.2: Add and subtract fractions by using factoring to find common denominators. Number Sense 1.2: Add, subtract, multiply, and divide rational numbers (fractions).
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Add, Subtract, Multiply, and Divide Fractions Reflection
Observe, Question, Comment 09/02/11 09/02/11 Add, Subtract, Multiply, and Divide Fractions Reflection Add, Subtract, Multiply, and Divide Fractions Warm-Up: Standard Objective 8L 8R 6
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Objective To add and subtract fractions
To multiply and divide fractions
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Add, Subtract, Multiply, and Divide Fractions Reflection
Observe, Question, Comment 09/02/11 09/02/11 Add, Subtract, Multiply, and Divide Fractions Reflection Add, Subtract, Multiply, and Divide Fractions Warm-Up: Standard Objective Vocabulary 8L 8R 8
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Fraction Your Definition:
Are numbers expressed as the ratio of two numbers
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Numerator Your Definition: Tells the desired outcome
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Denominator Your Definition:
Tells you how many things are there in total
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Improper Fraction Your Definition:
They’re fractions where the numerator is bigger than the denominator.
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Add, Subtract, Multiply, and Divide Fractions Reflection
Observe, Question, Comment 09/02/11 09/02/11 Add, Subtract, Multiply, and Divide Fractions Reflection Add, Subtract, Multiply, and Divide Fractions Warm-Up: Standard Objective Vocabulary Notes/Examples 8L 8R 13
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Fractions There are a few “special” fractions
How do you write 7 as a fraction? 7 1 How do you write 1 as a fraction? 3 101 How do you write 0 as a fraction? 0 0
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Let’s apply them… :-) (Use GCF if lost…) 4 9 2 9 1 10 7 10
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Parallel Instructions
4 9 2 9 2 7 14 7
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Add, Subtract, Multiply, and Divide Fractions Reflection
Observe, Question, Comment 09/02/11 09/02/11 Add, Subtract, Multiply, and Divide Fractions Reflection Add, Subtract, Multiply, and Divide Fractions Warm-Up: Standard Classwork #1 Objective Vocabulary Notes/Examples 8L 8R 17
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Try these on your own =) 1 9 −5 9 4 5 3 5 −5 6 4 6 5 9 −5 9 3 11 6 11
1.) 4.) 2.) 5.) 3.) −5 6 4 6 5 9 −5 9 3 11 6 11
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Add, Subtract, Multiply, and Divide Fractions Reflection
Observe, Question, Comment 09/02/11 09/02/11 Add, Subtract, Multiply, and Divide Fractions Reflection Add, Subtract, Multiply, and Divide Fractions Warm-Up: Standard Classwork #1 Objective Vocabulary Notes/Examples Back To The NOTES!!!!!!!!!!!!! 8L 8R 19
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What if the denominators are different?
Step 1: Get a Common Denominator 1 6 − 3 4
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What if the denominators are different?
Step 2: Make the denominators the same
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What if the denominators are different?
Step 3: Change numerators accordingly
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What if the denominators are different?
Step 4: Perform necessary operation
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Parallel Example Teacher (left) ; Student (right)
1 4 2 5 9 10 2 5
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Parallel Example Teacher (left) ; Student (right)
−5 6 3 8 3 4 −2 5
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Parallel Instruction 2 1 4 − −2 5 6
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Word Problem Suppose one day you rode a bicycle for hours and jogged for hours. How many hours did you exercise?
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BrainPop Adding and Subtracting
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Add, Subtract, Multiply, and Divide Fractions Reflection
Observe, Question, Comment 09/02/11 09/02/11 Add, Subtract, Multiply, and Divide Fractions Reflection Add, Subtract, Multiply, and Divide Fractions Warm-Up: Standard Classwork #1 Objective Classwork #2 Vocabulary Notes/Examples 8L 8R 29
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Classwork #2
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Add, Subtract, Multiply, and Divide Fractions Reflection
Observe, Question, Comment 09/02/11 09/02/11 Add, Subtract, Multiply, and Divide Fractions Reflection Add, Subtract, Multiply, and Divide Fractions Warm-Up: Standard Classwork #1 Objective Classwork #2 Vocabulary Homework Notes/Examples 8L 8R 31
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Homework Pg. 313 [1-6 all and all] Pg. 314 [1-11 all]
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Exit Slip
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Multiplying Fractions
All you do is multiply straight across! 1 4 1 4 1 16 4 5 2 5 8 25
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Parallel Example Teacher (left) ; Student (right)
5 9 2 9 3 7 2 7
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Parallel Example Teacher (left) ; Student (right)
−2 3 4 −5 2 3 −1 3 7 4 1 10
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Dividing is just like multiplying…
Dividing Fractions Dividing is just like multiplying… EXCEPT!!! You are going to multiply the first fraction by the reciprocal of the second fraction.
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It is the flipped version of a fraction.
Dividing Fractions What is a reciprocal? It is the flipped version of a fraction. The reciprocal of 4 5 5 4
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Lets Take The Reciprocal Of Each Number
4 7 3 10 5 1 2
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Dividing Fractions 1 2 − 1 3
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Parallel Example Teacher (left) ; Student (right)
1 4 − 2 5 − 9 10 − 2 5
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Parallel Example Teacher (left) ; Student (right)
5 6 3 8 3 4 2 5
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BrainPop Multiplying and Dividing Fractions
Break Time!
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Add, Subtract, Multiply, and Divide Fractions Reflection
Observe, Question, Comment 09/01/11 09/01/11 Add, Subtract, Multiply, and Divide Fractions Reflection Add, Subtract, Multiply, and Divide Fractions Warm-Up: Standard Classwork Objective Vocabulary Notes/Examples 8L 8R 44
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Classwork
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Add, Subtract, Multiply, and Divide Fractions Reflection
Observe, Question, Comment 09/01/11 09/01/11 Add, Subtract, Multiply, and Divide Fractions Reflection Add, Subtract, Multiply, and Divide Fractions Warm-Up: Standard Classwork Objective Homework: Vocabulary Notes/Examples 8L 8R 46
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Homework Pg. 315 [1-8 all and all and 21-23]
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Exit Slip
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