Lesson 8

Fill It Up

Est. Class Sessions: 3
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Mathematical Standards

3.OA.A
Represent and solve problems involving multiplication and division. (3.OA.A.3)
3.OA.C
Multiply and divide within 100. (3.OA.C.7)
3.OA.D
Solve problems involving the four operations, and identify and explain patterns in arithmetic. (3.OA.D.8)
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.

In this lab, students develop a plan for accurately finding the volume of large containers. They find the volumes of at least three containers of various sizes and shapes. Students use addition, subtraction, multiplication, and division to solve problems involving volume. In working with containers of different shapes, the students are reminded that the tallest container may not always have the largest volume.

Content in this Lesson

  • Measuring accurately the volume of large, unusually shaped containers [E10].
  • Measuring volume using graduated cylinders [E10].
  • Solving multidigit addition, subtraction, multiplication, and division word problems involving volume using mental math strategies [E3, E4, E8].
  • Interpreting remainders of multidigit division problems [E6].
  • Making and interpreting a bar graph [E13].
  • Using patterns in data to make predictions and solve problems [E13].
  • Using the relationship between larger and smaller units of measure to solve problems [E9].
  • Attending to precision and accuracy.
  • Using medians to average data [E12].
  • Choosing appropriate graph representations.
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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

cup (or small container)
plain paper
3 containers—small, medium, and large (see Materials Preparation)
graduated cylinder (250 cc recommended)
eyedropper
dishpan, or similar container, optional
paper towels
beaker or container of water

Materials for the Teacher

Unit 13 Assessment Record
Math Facts Class Record
large, irregularly shaped “mystery jar”

Materials Preparation

Collect Containers. Gather identical containers (e.g., large paper cups) for each group. Collect containers of various sizes and shapes so each group of students will have at least three containers. Jars work quite well for this investigation because they come in a variety of sizes and shapes. Cups, such as small 3-oz. paper cups, medium 9-oz. coffee cups, and large 16-oz. plastic cups, can also be used. However, using only cups is not as interesting or as challenging since they all have the same shape.

If possible, remove all labels before giving the jars to the students. The labels on some jars give their volumes, but usually in fluid ounces, not cubic centimeters. Note that 1 fluid ounce equals about 30 cubic centimeters. The labels on other jars give the weight of the contents but not the volume. The list in Figure 1 provides ranges of volumes for some common jars.

Find a Mystery Jar. Set aside a “mystery jar,” whose volume children will guess after they have completed the lesson.

Figure 1
Figure 1: Volumes of some common jars

Assessment in this Lesson

Assessment Expectation Assessed

Fill It Up Lab
with Feedback Box
Student Activity Book
Pages 547–552

E6.
Interpret remainders of multidigit division problems.
E8.
Solve multistep word problems involving the four operations.
E9.
Use the relationship between larger and smaller units of measure to solve problems.
E10.
Measure volume to the nearest cubic centimeter using a graduated cylinder (e.g., through displacement, by filling container).
E12.
Find the median of a data set.
E13.
Make predictions and solve problems using patterns in data represented in data tables and bar graphs.

DPP Item AA
Multiplication Quiz: Last Six Facts
Teacher Guide - digital

E14.
Demonstrate fluency with the multiplication facts for the last six facts (4 × 6, 4 × 7, 4 × 8, 6 × 7, 6 × 8, 7 × 8).