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By: Mr. Menjivar Observe, Question, Comment 09/02/11 Add, Subtract, Multiply, and Divide Fractions Reflection 09/02/11 Add, Subtract, Multiply, and Divide Fractions Warm-Up: 8L 8R Change the Improper Fraction to Mixed Number #1) 111 9 #2) 16 7 Change the Mixed Number to Improper Fraction #3) 1 2 10 #4) 5 7 7 Observe, Question, Comment 09/02/11 Add, Subtract, Multiply, and Divide Fractions Reflection Warm-Up: 09/02/11 Add, Subtract, Multiply, and Divide Fractions Standard 8L 8R 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). Observe, Question, Comment 09/02/11 Add, Subtract, Multiply, and Divide Fractions Reflection Warm-Up: 09/02/11 Add, Subtract, Multiply, and Divide Fractions Standard Objective 8L 8R To add and subtract fractions To multiply and divide fractions Observe, Question, Comment 09/02/11 Add, Subtract, Multiply, and Divide Fractions Reflection Warm-Up: 09/02/11 Add, Subtract, Multiply, and Divide Fractions Standard Objective Vocabulary 8L 8R Your Definition: Are numbers expressed as the ratio of two numbers Your Definition: Tells the desired outcome Your Definition: Tells you how many things are there in total Your Definition: They’re fractions where the numerator is bigger than the denominator. Observe, Question, Comment 09/02/11 Add, Subtract, Multiply, and Divide Fractions Reflection Warm-Up: 09/02/11 Add, Subtract, Multiply, and Divide Fractions Standard Objective Vocabulary Notes/Examples 8L 8R 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 3 101 How do you write 0 as a fraction? 0 0 5 100 (Use GCF if lost…) 4 9 2 9 1 10 7 10 4 9 2 9 2 7 14 7 Observe, Question, Comment 09/02/11 Add, Subtract, Multiply, and Divide Fractions Reflection 09/02/11 Add, Subtract, Multiply, and Divide Fractions Warm-Up: Standard Classwork #1 Objective Vocabulary Notes/Examples 8L 8R Try these on your own =) −5 9 4.) 4 3 5 5.) 5 6 4 6 −5 9 3 11 6 11 1.) 1 9 2.) −5 3.) 5 9 Observe, Question, Comment 09/02/11 Add, Subtract, Multiply, and Divide Fractions Reflection 09/02/11 Add, Subtract, Multiply, and Divide Fractions Warm-Up: Standard Classwork #1 Objective Vocabulary Notes/Examples Back To The NOTES!!!!!!!!!!!!! 8L 8R Step 1: Get a Common Denominator 1 3 − 6 4 Step 2: Make the denominators the same Step 3: Change numerators accordingly 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 1 2 4 − 7 9 5 8 − 5 2 6 Suppose one day you rode a bicycle 1 3 2 1 1 4 for hours and jogged for hours. How many hours did you exercise? Adding and Subtracting Observe, Question, Comment 09/02/11 Add, Subtract, Multiply, and Divide Fractions Reflection 09/02/11 Add, Subtract, Multiply, and Divide Fractions Warm-Up: Standard Classwork #1 Objective Classwork #2 Vocabulary Notes/Examples 8L 8R Observe, Question, Comment 09/02/11 Add, Subtract, Multiply, and Divide Fractions Reflection 09/02/11 Add, Subtract, Multiply, and Divide Fractions Warm-Up: Standard Classwork #1 Objective Classwork #2 Vocabulary Homework Notes/Examples 8L 8R Pg. 313 [1-6 all and 13-16 all] Pg. 314 [1-11 all] 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) 3 −2 4 2 −5 3 3 −1 7 1 4 10 Dividing Fractions Dividing is just like multiplying… EXCEPT!!! You are going to multiply the first fraction by the reciprocal of the second fraction. Dividing Fractions What is a reciprocal? It is the flipped version of a fraction. The reciprocal of 4 5 5 4 4 1) 7 3 3) 10 2) 5 1 4) 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 Break Time! Observe, Question, Comment 09/01/11 Add, Subtract, Multiply, and Divide Fractions Reflection 09/01/11 Add, Subtract, Multiply, and Divide Fractions Warm-Up: Standard Classwork Objective Vocabulary Notes/Examples 8L 8R Observe, Question, Comment 09/01/11 Add, Subtract, Multiply, and Divide Fractions Reflection 09/01/11 Add, Subtract, Multiply, and Divide Fractions Warm-Up: Standard Classwork Objective Homework: Vocabulary Notes/Examples 8L 8R Pg. 315 [1-8 all and 11-17 all and 21-23]