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Mastering Fraction Multiplication: Key Concepts and Problem-Solving Strategies

This lesson covers essential methods for multiplying fractions and whole numbers. Learn how to find fractional parts of a group, utilize models, and the significance of numerators and denominators. Practice problems include real-life scenarios such as planting vegetables and determining remaining food amounts. The lesson also guides you through multiplying mixed numbers, comparing products, and understanding how the size of factors relates to their products. Ideal for strengthening problem-solving skills in fraction multiplication.

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Mastering Fraction Multiplication: Key Concepts and Problem-Solving Strategies

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  1. Chapter 7 Multiply Fractions

  2. Lesson 7-1: Find Part of a Group Date

  3. To find a fractional part of a group: Denominator tells how many equal groups Numerator tells how many equal groups to circle “of” means to multiply or 2 3 2 3 18 = 18 = of X

  4. or 3 4 3 4 3 4 3 4 12 = 12 = 20 = 20 = of X of X or

  5. Test Prep Lesson 7-1 Use your clicker to answer the following question:

  6. Lesson 7-2: Multiply Fractions and Whole Numbers Date

  7. Math Journal Explain how to find 3 of 20 using a model. Include a drawing 4

  8. Martin is planting a vegetable garden. Each row is two meters long. He wants to plant carrots along ¾ of each row. How many meters of each row will he plant with carrots? 3 4 2 = x

  9. Margo was helping clean up after a class party. There were 3 boxes. Remaining with pizza in them. Each box had 3/8 of a pizza left. How much pizza was left in all? 3 8 3 x =

  10. 5 6 2 = x 5 6 3 = x

  11. Test Prep Lesson 7-2 Use your clicker to answer the following question:

  12. Lesson 7-3: Fraction and Whole Number Multiplication Date

  13. Math Journal 3 X 34 Explain how to use models to find Include a drawing

  14. Find the product. 1. Write the whole number as a fraction 3 X 56 2. Multiply the numerators 3. Multiply the denominators 4. Write the product as a mixed number. Then simplify Use a model to solve

  15. Test Prep Lesson 7-3 Use your clicker to answer the following question:

  16. Lesson 7-4: Multiply Fractions Date

  17. 2 3 3 4 X =

  18. 1 3 1 2 X =

  19. 3 5 1 3 X =

  20. 2 3 3 5 X =

  21. Test Prep Lesson 7-4 Use your clicker to answer the following question:

  22. Lesson 7-5: Compare Fraction Factors and Products Date

  23. Math Journal There is 5/8 of a pizza left. Josh eats ¼ of the left over pizza. How much pizza does Josh eat? Describe how to solve the problem using a model. Include a picture of your model

  24. 1 2 2 5 3 4 3 8 3 7 1 3 = = = X X X The product of a fraction and another fraction will be less then either fraction 5 6 2 = x 5 6 3 = x The product of a number greater than 1 and a fraction will be greater than the fraction and less than the whole number.

  25. Test Prep Lesson 7-5 Use your clicker to answer the following question:

  26. Lesson 7-6: Fraction Multiplication Date

  27. Math Journal Explain how you can compare the size of a product to the size of a factor when multiplying fractions, without actually doing the multiplication. Include an example.

  28. Test Prep Lesson 7-6 Use your clicker to answer the following question:

  29. Lesson 7-7: Area and Mixed Numbers Date

  30. Area: the number of square units needed to cover a surface. L X W = A

  31. X 3 4 2 1 34 35 2 1 3 5

  32. X 1 2 2 1 12 34 2 1 3 4

  33. X 1 2 2 1 12 38 2 1 3 8

  34. X 1 9 1 1 23 19 1 1 2 3

  35. Test Prep Lesson 7-7 Use your clicker to answer the following question:

  36. Lesson 7-8: Compare Mixed Number Factors and Products Date

  37. A fraction times a mixed number, the product will be less than the mixed number. X X 4 1 1 13 34 14 23 25 3 2 A whole number (greater than one) times a mixed number, the product will be greater than the mixed number. X A mixed number times a mixed number, the product will be greater than both factors.

  38. X X 2 1 1 1 3 1 34 14 12 15 12 13 78 18 12 14 6 3 2 3 X X X X 18 13 14 15 14 34 1 2 3 1 2 3 Is the product ____________ Is the product ____________ Is the product ____________ Is the product ____________ Is the product ____________ Is the product ____________

  39. Test Prep Lesson 7-8 Use your clicker to answer the following question:

  40. Lesson 7-9: Multiply Mixed Numbers Date

  41. Another Way: Change to improper fraction One Way: Use a Model X X 13 13 = = 14 1 14 1

  42. Simplify using Cross Cancelation X 16 2 12 12 23 13 45 = 1 1 3 = = X X

  43. Multiply using the Distributive Property. X X X X 12 56 3 2 12 14 4 2 45 34 8 = 10 = = =

  44. Test Prep Lesson 7-9 Use your clicker to answer the following question:

  45. Lesson 7-10: Problem Solving: Find Unknown Lengths Date

  46. Test Prep Lesson 7-10 Use your clicker to answer the following question:

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