Write-Up 3: Modeling Fraction Multiplication and Division

This write up will involve explanations of problems completed in the "Multiplying Fractions and Modeling" exploration as well as the "Dividing Fractions and Modeling" exploration.A write-up is a detailed solution to an assigned exploration. These write-ups should be readable independently of any worksheet on which they are based, in good English, in paragraph form, and either legibly handwritten in ink or word-processed.

The paper should address the following components:

• An explanation of 3/4 of (1 1/2) including but not limited to
  • an explanation of the unit and multiplier in the given problem context;
  • a multiplication expression using the unit-multiplier format with the unit and multiplier labeled;
  • an array model that depicts the process of the multiplication;
  • an explanation of how the array model is used to find the product;
  • a strip diagram that depicts the process of the multiplication; and
  • an explanation of how the strip diagram is used to find the product;
• An explanation of 5/63/4including but not limited to
  • an interpretation of the problem in words from a measurement division perspective using the terms dividend, unit, and multiplier;
    • a strip diagram that depicts the process of the division from the measurement perspective;
    • an explanation of how the strip diagram is used to find the quotient from the measurement perspective;
  • an interpretation of the problem in words from a partitive division perspective using the terms dividend, unit, and multiplier;
    • a strip diagram that depicts the process of the division from the partitive perspective; and
    • an explanation of how the strip diagram is used to find the quotient from the partitive perspective.
  • An explanation of 2 2/31/6 including but not limited to
    • an interpretation of the problem in words from a measurement division perspective using the terms dividend, unit, and multiplier;
      • a strip diagram that depicts the process of the division from the measurement perspective;
      • an explanation of how the strip diagram is used to find the quotient from the measurement perspective;
    • an interpretation of the problem in words from a partitive division perspective using the terms dividend, unit, and multiplier;
      • a strip diagram that depicts the process of the division from the partitive perspective; and
      • an explanation of how the strip diagram is used to find the quotient from the partitive perspective.