Lesson 7

Measuring Volume of Containers

Est. Class Sessions: 2–3
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Mathematical Standards

3.MD.A
Solve problems involving measurement and estimation. (3.MD.A.2)

Standards for Mathematical Practice

MP1.
Make sense of problems and persevere in solving them.
MP2.
Reason quantitatively.
MP3.
Construct viable arguments and critique the reasoning of others.
MP4.
Model with mathematics.
MP5.
Use appropriate tools strategically.
MP6.
Attend to precision.
MP7.
Look for and make sense of structure.

Students find the volume of containers by first using U.S. customary units of measurement: cup, pint, quart, and gallon. They fill containers to find the relationships among these units. Students then explore metric measures of volume: cubic centimeters, milliliters, and liters. Students use square centimeter cubes to estimate the volume of containers before using a graduated cylinder to find actual volume.

Content in this Lesson

  • Discovering the relationships among the U.S. customary units of volume measurement: cup, pint, quart, and gallon.
  • Using the relationship between larger and smaller units of measure to solve problems [E9].
  • Estimating the volume of containers using cubic centimeters [E11].
  • Finding the volume of containers to the nearest milliliter using a graduated cylinder [E10].
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Materials for Students

Daily Practice and Problems Lesson Homework Assessment

Student Books

Student Guide
Student Activity Book

Teacher Resources

Teacher Guide - digital

Supplies for Student Groups

container, such as a dishpan
containers of different U.S. customary sizes: cup, pint, quart, and gallon
centimeter ruler
3–4 containers of different sizes for finding volume using cubic centimeters
2 handfuls of centimeter connecting cubes
graduated cylinder calibrated no more than 2 cc apart (250 cc preferred)
eyedropper
beaker or container of water
paper towels

Materials for the Teacher

Display of first Converting Standard Volume Units Page (Student Activity Book) Page 543
Display of Scale 1 with Blowup Master (Teacher Guide)
Display of Scale 2 with Blowup Master (Teacher Guide)
Display of Scale 3 with Blowup Master (Teacher Guide)
Display of Meniscus Master (Teacher Guide)
Unit 13 Assessment Record
cup, pint, quart, and gallon containers

Materials Preparation

Standard Volume Units. Collect a set of four containers for each group: a cup, pint, quart, and gallon. Examples of containers may include: a 1-cup measuring cup; a school milk carton (1 cup); a pint-sized container from sour cream, cottage cheese, or ice cream; and quart- or gallon-sized container from milk or orange juice. When you are collecting containers, try to find containers that have the same volume but are different shapes; for example, a rectangular cardboard pint container from milk or cream and a cylindrical plastic pint container from sour cream. If the size of a container is not indicated, label the container with its standard volume.

TIMS Tip

The containers you find may not be precisely the sizes marked on the labels. Although there are four cups in one quart, for example, a container that holds a quart of milk might have extra space for air on top and might hold a little more than four cups. This will not be a problem if students round their answers to the nearest whole number.

Metric Volume Units. Collect several small containers of various sizes and shapes for student groups to use for estimating the volume of containers using cubic centimeter connecting cubes and for finding actual volume to the nearest milliliter using the graduated cylinder. Choose containers that will hold 240 ml (about 1 cup) or less. The opening in each container needs to be big enough so students can fill the container with cubic centimeter cubes to estimate the volume. You will need 3–4 containers for each group of students. Examples of containers include 4-ounce paper cups, small yogurt cups, and baby food jars.

Gather Measuring Materials for Targeted Practice in a Learning Center. Gather some of the containers used in this lesson, a container of water, centimeter connecting cubes, a graduated cylinder, an eyedropper, and some paper towels in a learning center. Ask students to measure the volume of the containers using the connecting cubes and with the water and graduated cylinder [E10, E11].

Assessment in this Lesson

Assessment Expectation Assessed

Converting Standard Units of Volume
Check-In: Questions 9–10
Student Activity Book
Page 544

E9.
Use the relationship between larger and smaller units of measure to solve problems.

Measuring Volume of Containers
Check-In: Questions 7–8
Student Guide
Page 404

E10.
Measure volume to the nearest cubic centimeter using a graduated cylinder (e.g., through displacement, by filling containers).
E11.
Estimate volume by counting cubic centimeters.