Kathy's Hot Chocolate

Check-In: Questions 8–9

Choose a strategy to solve each problem. Use fraction circle pieces or the Fractions on Number Lines Chart in the Student Guide Reference section.

  1. Kathy wants to make hot chocolate. The recipe calls for cup milk and cup chocolate syrup. She wonders if the recipe will make more or less than one cup.
    1. Will cup milk and cup chocolate syrup fit into a one-cup measuring cup? Explain your reasoning.
    2. Use another strategy to show whether + is more or less than 1.
  2. Rosa thought about Kathy's recipe. “I think + = ,” said Rosa. “That is less than half. So your recipe will make less than half a cup of hot chocolate.”
    1. Do you agree that Kathy's recipe will make less than cup? Why or why not?
    2. Do you agree with Rosa's method of adding fractions? Why or why not?

Solve each problem. Use the Fractions on Number Lines Chart in the Reference section.

  1. Frank practiced his violin for of an hour on Monday morning. He practiced for of an hour on Monday afternoon. Did Frank practice for less than an hour or for more than an hour on Monday? Show or tell your reasoning.
  2. Ann needs 1 yards of ribbon to complete a project. Her mother gave her two pieces of ribbon to use. One piece was of a yard long and the other was of a yard long. Will Ana have enough ribbon for her project? Show or tell how you decided.
  3. Estimate each of the following sums. Decide if the sum will be greater or less than 1.
    1. + =
    2. + =
    3. + =
    4. + =
    1. Choose one problem in Question 3 and show or tell your reasoning.