Teaching the Common Core Math Standards With Hands-On Activities, Grades 3-5 (69 page)

Estimating, Adding, and Subtracting Fractions

Directions: Answer the questions and solve the problems.

1.
Carmella's mom baked Carmella and her younger brother Anthony a homemade pizza. Carmella ate
of the pizza and Anthony ate
. Estimate about how much of the pizza the two children ate. Write an equation and draw a model to represent the problem. Now solve the problem to find how much of the pizza the two children ate. Was your estimate accurate?

2.
Leah's cookie recipe calls for
cup of small candies. She has
cup of candies from the last time she baked. Estimate about how much candy she will have left over. Write an equation and draw a model to represent the problem. Now solve the problem to find how much candy will be left over. Was your estimate accurate?

3.
A recent storm dropped
inch of rain on Brian's town. During another storm,
inch of rain fell. Estimate about how much rain fell on Brian's town during these two storms. Write an equation and draw a model to represent the problem. Now solve the problem to find how much rain fell during the two storms. Was your estimate accurate?

4.
Annie and Raul were playing a computer game. A player has to complete many levels to win. Annie completed
of the levels needed to win and Raul completed
. Estimate who completed more levels. Write an equation and draw a model to represent the problem. Now solve the problem to find the difference between how much of the levels the two children completed. Was your estimate accurate?

Number and Operations—Fractions: 5.NF.3

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

3. “Interpret a fraction as division of the numerator by the denominator
. Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem.”

Background

A fraction represents division of the numerator by the denominator. The fraction bar can be thought of as a division sign. For example,
can be thought of as
.

Activity: Relating Fractions to Division