# Math 3 - Fractions

Dec. 7, 2015                                            1 of 44

### Math 3 - Fractions

• 1. Math Fundamentals Fractions 1. Adding Fractions 2. Subtracting Fractions 3. Multiplying Fractions 4. Dividing Fractions Laura Petersen, MAED Co-founder & Master Teacher, Lead Curriculum Designer I L P M R IDENTIFY LEARN PRACTICE SHOW MASTERY REVIEW OK GOOD GREAT EXCELLENT Let’s be excellent!
• 2. 5 STEP PROVEN LEARNING PROCESS I L P M R IDENTIFY LEARN PRACTICE SHOW MASTERY REVIEW OK GOOD GREAT EXCELLENT Let’s be excellent!
• 3. What’s in this lesson? Fractions 1. Adding Fractions 2. Subtracting Fractions 3. Multiplying Fractions 4. Dividing Fractions I
• 4. 1. Adding Fractions 1. 1 + 2 4 3 L Example Problem Add these fractions:
• 5. 1. Adding Fractions 1. 1 + 2 4 3 L Example Problem Solution 1. Visualize problem
• 6. 1. Adding Fractions 1. 1 + 2 4 3 L Example Problem Solution (3) 1 + 2 (4) (3) 4 3 (4) 3 + 8 12 12 1. Visualize problem 2. Get common denominator
• 7. 1. Adding Fractions 1. 1 + 2 4 3 L Example Problem Solution (3) 1 + 2 (4) (3) 4 3 (4) 3 + 8 12 12 3 + 8 12 11 12 1. Visualize problem 2. Get common denominator 3. Add numerators. Solve!
• 8. 1. Adding Fractions Add the following pairs of fractions. Reduce where necessary to simplest form. 1. 1/3 + 2/5 2. 3/4 + 2/3 P Practice Problems
• 9. 1. Adding Fractions Add the following pairs of fractions. Reduce where necessary to simplest form. 1. 1/3 + 2/5 = 11/15 2. 3/4 + 2/3 = 17/12 or 1 5/12 P Practice Problem Answers
• 10. 1. Adding Fractions Can you explain how to solve these to someone else? Try it! 3. 1/2 + 3/5 4. 1/5 + 5/8 M Now it’s time to show what you’ve learned!
• 11. 1. Adding Fractions Answers to the practice problems. M Did you get them right? 3. 1/2 + 3/5 = 11/10 or 1 1/10 4. 1/5 + 5/8 = 33/40
• 12. 1. Adding Fractions ADDITIONAL RESOURCES FOR MORE PRACTICE VIDEO TUTORIAL ADDITIONAL PRACTICE COMMENT BELOW Watch Now! Practice More! Ask for Help! R
• 13. What’s in this lesson? Fractions  1. Adding Fractions 2. Subtracting Fractions 3. Multiplying Fractions 4. Dividing Fractions I
• 14. 2. Subtracting FractionsL Example Problem 1. 2 - 1 3 2 Subtract these fractions:
• 15. 2. Subtracting FractionsL Example Problem Solution 1. Visualize problem 1. 2 - 1 3 2
• 16. 2. Subtracting FractionsL Example Problem Solution (2) 2 - 1 (3) (2) 3 2 (3) 4 - 3 6 6 1. Visualize problem 2. Get common denominator 1. 2 - 1 3 2
• 17. 2. Subtracting FractionsL Example Problem Solution (2) 2 - 1 (3) (2) 3 2 (3) 4 - 3 6 6 4 - 3 6 1 6 1. Visualize problem 2. Get common denominator 3. Subtract numerators. Solve! 1. 2 - 1 3 2
• 18. 2. Subtracting FractionsP Practice Problems Subtract the following pairs of fractions. Reduce where necessary to simplest form. 1. 1/3 - 2/5 2. 3/4 - 1/3
• 19. 2. Subtracting FractionsP Practice Problems Answers Subtract the following pairs of fractions. Reduce where necessary to simplest form. 1. 1/3 - 2/5 = - 1/15 2. 3/4 - 1/3 = 5/12
• 20. 2. Subtracting FractionsM Now it’s time to show what you’ve learned! Can you teach someone else how to solve these? Try it now! 3. 1/2 - 1/5 4. 5/7 - 3/4
• 21. 2. Subtracting FractionsM Did you show how to correctly? Answers: 3. 1/2 - 1/5 = 3/10 4. 5/7 - 3/4 = -1/28
• 22. 2. Subtracting Fractions RESOURCES FOR MORE PRACTICE VIDEO TUTORIAL ADDITIONAL PRACTICE COMMENT BELOW Watch Now! Practice More! Ask for Help! R
• 23. What’s in this lesson? Fractions  1. Adding Fractions  2. Subtracting Fractions 3. Multiplying Fractions 4. Dividing Fractions I
• 24. 3. Multiplying FractionsL Example Problem 1. 2 x 1 3 2 Multiply:
• 25. 3. Multiplying FractionsL Example Problem Solution 1. Visualize problem 1. 2 x 1 3 2 2/3 * 1/2 is the same as saying “2/3 cut in 2 pieces”
• 26. 3. Multiplying FractionsL Example Problem Solution 2 x 1 3 x 2 1. Visualize problem 2. Multiply the numerators. Multiply the denominators. 1. 2 x 1 3 2 2/3 * 1/2 is the same as saying “2/3 cut in 2 pieces”
• 27. 3. Multiplying FractionsL Example Problem Solution 2 x 1 3 x 2 2 6 1 3 1. Visualize problem 2. Multiply the numerators. Multiply the denominators. 3. You have your answer! But don’t forget to reduce where possible. 1. 2 x 1 3 2 2/3 * 1/2 is the same as saying “2/3 cut in 2 pieces”
• 28. 3. Multiplying FractionsP Practice Problems Multiply the following pairs of fractions. Reduce where necessary to simplest form. 1. 1/3 x 2/5 2. 3/4 x -7/3
• 29. 3. Multiplying FractionsP Practice Problems Answers Multiply the following pairs of fractions. Reduce where necessary to simplest form. 1. 1/3 x 2/5 = 2/15 2. 3/4 x -7/3 = -21/12 = -7/4 or -1 3/4
• 30. 3. Multiplying FractionsM Now let’s see what you’ve learned! Can you teach someone else the steps for these problems? Go! 3. 1/5 x 1/2 4. -3/4 x -5/2
• 31. 3. Multiplying FractionsM Did you show your mastery? Answers: 3. 1/5 x 1/2 = 1/10 4. -3/4 x -5/2 = 15/8 or 1 7/8
• 32. 3. Multiplying Fractions RESOURCES FOR MORE PRACTICE VIDEO TUTORIAL ADDITIONAL PRACTICE COMMENT BELOW Watch Now! Practice More! Ask for Help! R
• 33. What’s in this lesson? Fractions  1. Adding Fractions  2. Subtracting Fractions  3. Multiplying Fractions 4. Dividing Fractions I
• 34. 4. Dividing FractionsL Example Problem 1. 2 1 3 2 Divide:
• 35. 4. Dividing FractionsL Example Problem Solution 1. Visualize problem If 2/3 * 1/2 is the same as saying “2/3 cut in 2 pieces” Then 2/3 / 1/2 is the same as saying “2/3 taken 2/1 times” 1. 2 1 3 2 x2
• 36. 4. Dividing FractionsL Example Problem Solution 1. Visualize problem If 2/3 * 1/2 is the same as saying “2/3 cut in 2 pieces” Then 2/3 / 1/2 is the same as saying “2/3 taken 2/1 times” 1. 2 1 3 2 2 x 2 3 1 2. First: Flip the second fraction. Then: Multiply the numerators. Multiply the denominators. 2 x 2 3 x 1 x2
• 37. 4. Dividing FractionsL Example Problem Solution 1. Visualize problem If 2/3 * 1/2 is the same as saying “2/3 cut in 2 pieces” Then 2/3 / 1/2 is the same as saying “2/3 taken 2/1 times” 1. 2 1 3 2 2 x 2 3 1 4 3 or 1 1/3 2. First: Flip the second fraction. Then: Multiply the numerators. Multiply the denominators. 3. You have your answer! But don’t forget to reduce where possible. 2 x 2 3 x 1 x2
• 38. 4. Dividing FractionsP Practice Problems Divide the following pairs of fractions. Reduce where necessary to simplest form. 1. 1/3 / 2/5 2. 3/4 / -7/3
• 39. 4. Dividing FractionsP Practice Problems Answers Divide the following pairs of fractions. Reduce where necessary to simplest form. 1. 1/3 / 2/5 = 1/3 x 5/2 = 5/6 2. 3/4 / -7/3 = 3/4 x -3/7 = -9/28
• 40. 4. Dividing FractionsM Now it’s time to show your mastery! Can you teach someone else how to do these problems? Solve! 3. (1/5) / (1/2) 4. (-3/4) / (-5/2)
• 41. 4. Dividing FractionsM Did you teach correctly? Answers: 3. (1/5) / (1/2) = 1/5 x 2/1 = 2/5 4. (-3/4) / (-5/2) = -3/4 x -2/5 = 6/20 = 3/10
• 42. 4. Dividing Fractions RESOURCES FOR MORE PRACTICE VIDEO TUTORIAL ADDITIONAL PRACTICE COMMENT BELOW Watch Now! Practice More! Ask for Help! R
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