Adding, Subtracting, Multiplying, and Dividing Fractions By: Mr. Menjivar

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

Warm-Up Change the Improper Fraction to Mixed Number #1) 111 9 #2) 16 7 Change the Mixed Number to Improper Fraction #3) 2 1 10 #4) 7 5 7

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

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).

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

Objective To add and subtract fractions To multiply and divide fractions

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

Fraction Your Definition: Are numbers expressed as the ratio of two numbers

Numerator Your Definition: Tells the desired outcome

Denominator Your Definition: Tells you how many things are there in total

Improper Fraction Your Definition: They’re fractions where the numerator is bigger than the denominator.

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

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 5 100

Let’s apply them… :-) (Use GCF if lost…) 4 9 2 9 1 10 7 10

Parallel Instructions 4 9 2 9 2 7 14 7

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

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

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

What if the denominators are different? Step 1: Get a Common Denominator 1 6 − 3 4

What if the denominators are different? Step 2: Make the denominators the same

What if the denominators are different? Step 3: Change numerators accordingly

What if the denominators are different? Step 4: Perform necessary operation

Parallel Example Teacher (left) ; Student (right) 1 4 2 5 9 10 2 5

Parallel Example Teacher (left) ; Student (right) −5 6 3 8 3 4 −2 5

Parallel Instruction 2 1 4 − 7 9 5 8 −2 5 6

Word Problem Suppose one day you rode a bicycle for 3 1 2 hours and jogged for 1 1 4 hours. How many hours did you exercise?

BrainPop Adding and Subtracting

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

Classwork #2

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

Homework Pg. 313 [1-6 all and 13-16 all] Pg. 314 [1-11 all]

Exit Slip

Multiplying Fractions All you do is multiply straight across! 1 4 1 4 1 16 4 5 2 5 8 25

Parallel Example Teacher (left) ; Student (right) 5 9 2 9 3 7 2 7

Parallel Example Teacher (left) ; Student (right) −2 3 4 −5 2 3 −1 3 7 4 1 10

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.

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

Lets Take The Reciprocal Of Each Number 4 7 3 10 5 1 2

Dividing Fractions 1 2 − 1 3

Parallel Example Teacher (left) ; Student (right) 1 4 − 2 5 − 9 10 − 2 5

Parallel Example Teacher (left) ; Student (right) 5 6 3 8 3 4 2 5

BrainPop Multiplying and Dividing Fractions Break Time!

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

Classwork

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

Homework Pg. 315 [1-8 all and 11-17 all and 21-23]

Exit Slip