Teaching the Common Core Math Standards With Hands-On Activities, Grades 3-5 (77 page)

Names ____________________________________ Date ____________

Mandi's Party Punch

Mandi has invited her family for a party. She has a great recipe for party punch. To make sure she has enough punch, she wants to make more of the punch than the recipe calls for.

Directions: Write and solve an equation to find the amount of the ingredients Mandi must use if each ingredient is increased
times. Create a model that represents your multiplication.

1.
cups of sugar

2.
cup of ginger ale

3.
3 pints of orange juice

4.
cups of water

Number and Operations—Fractions: 5.NF.7

“Apply and extend previous understandings of multiplication and division to multiply and divide fractions.”

7. “Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.

a.
“Interpret division of a unit fraction by a non-zero whole number, and compute such quotients.

b.
“Interpret division of a whole number by a unit fraction, and compute such quotients.

c.
“Solve real-world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem.”

Background

The process for dividing fractions includes the steps for multiplying fractions; however, the reciprocal of the divisor must be used to write the multiplication problem. Following are two examples:

• : Rewrite 2 as an improper fraction,
  , find its reciprocal,
  , change the division sign to multiplication and multiply.
  
• : Rewrite 2 as an improper fraction,
  , find the reciprocal of
  , which is
  , change the division sign to multiplication and multiply.