Word Problem with Dividing Fractions

5.M.NF.07

Objective

• I can create and solve real world problems by dividing fractions and whole numbers in lowest terms.

Mathematical Practices

• 1). Make sense of problems and persevere in solving them.

• 2). Reason abstractly and quantitatively.

• 3). Construct viable arguments and critique the reasoning of others.

• 4). Model with mathematics.

• 5). Use appropriate tools strategically.

• 6). Attend to precision.

• 7). Look for and make use of structure.

• 8). Look for and express regularity in repeated reasoning.

Task Expectations

• 8 minutes

• You will work as a table group to solve the task on the paper provided to you

• Please follow the roles and responsibilities of your group

• The table leader will share out your group’s ideas

Group Rules

• Share your ideas with classmates

• Engage in today’s activities enthusiastically and stay on task

• Be respectful of other ideas and opinions

• Share in the responsibility for the success of today’s work

• Use soft voices

Group Roles

• Recorder

• Group Leader

• Time Keeper

• Material Monitor

TaskDavid has a pet sitting business and has a five pound bag of dog food. Each dog will eat 1/4 of a pound of dog food from the bag. How many dogs can he feed

from that one bag?

• Solve using numbers, drawing a picture, and writing an explanation on how you got the answer.

Guided Practice

• Share Out

Answer

Since there are 4/4 in 1 whole, there must be 20 fourths in 5

pounds.

Each bar represents 1 pound that has been divided into fourths.

Task• Four students sitting at table were

given 1/3 of a pan of brownies to share. How much of a pan will each student get if they share the pan of brownies equally?

Guided Practice

• Share Out

Answer

• Four students = four rows

• 1/3 of the pan = 3 columns

• Color in 1/3

• Divide the shaded 1/3 into four.

• Each students gets 1/12

Task• Dumbo has four pounds of

peanuts. He wants to give each of his friends 1/5 of a pound. How many friends can receive 1/5 of a pound of peanuts?

Guided Practice

• Share Out

Answer

• Each rectangle is 1 pound of peanuts

• Each pound is divided into 1/5

• There are now 20 smaller rectangles

• 20 friends can receive 1/5 of a pound of peanuts

1/5 1/5 1/5 1/5 1/5 1/5 1/5 1/5 1/5 1/5

1/5 1/5 1/5 1/5 1/51/5 1/5 1/5 1/5 1/5