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Math 3 - Fractions

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Math 3 - Fractions

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Math 3 - Fractions

  1. 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. 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. 3. What’s in this lesson? Fractions 1. Adding Fractions 2. Subtracting Fractions 3. Multiplying Fractions 4. Dividing Fractions I
  4. 4. 1. Adding Fractions 1. 1 + 2 4 3 L Example Problem Add these fractions:
  5. 5. 1. Adding Fractions 1. 1 + 2 4 3 L Example Problem Solution 1. Visualize problem
  6. 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. 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. 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. 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. 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. 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. 12. 1. Adding Fractions ADDITIONAL RESOURCES FOR MORE PRACTICE VIDEO TUTORIAL ADDITIONAL PRACTICE COMMENT BELOW Watch Now! Practice More! Ask for Help! R
  13. 13. What’s in this lesson? Fractions  1. Adding Fractions 2. Subtracting Fractions 3. Multiplying Fractions 4. Dividing Fractions I
  14. 14. 2. Subtracting FractionsL Example Problem 1. 2 - 1 3 2 Subtract these fractions:
  15. 15. 2. Subtracting FractionsL Example Problem Solution 1. Visualize problem 1. 2 - 1 3 2
  16. 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. 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. 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. 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. 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. 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. 22. 2. Subtracting Fractions RESOURCES FOR MORE PRACTICE VIDEO TUTORIAL ADDITIONAL PRACTICE COMMENT BELOW Watch Now! Practice More! Ask for Help! R
  23. 23. What’s in this lesson? Fractions  1. Adding Fractions  2. Subtracting Fractions 3. Multiplying Fractions 4. Dividing Fractions I
  24. 24. 3. Multiplying FractionsL Example Problem 1. 2 x 1 3 2 Multiply:
  25. 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. 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. 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. 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. 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. 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. 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. 32. 3. Multiplying Fractions RESOURCES FOR MORE PRACTICE VIDEO TUTORIAL ADDITIONAL PRACTICE COMMENT BELOW Watch Now! Practice More! Ask for Help! R
  33. 33. What’s in this lesson? Fractions  1. Adding Fractions  2. Subtracting Fractions  3. Multiplying Fractions 4. Dividing Fractions I
  34. 34. 4. Dividing FractionsL Example Problem 1. 2 1 3 2 Divide:
  35. 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. 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. 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. 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. 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. 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. 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. 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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