Lesson 3

Strategies to Find Volume

Est. Class Sessions: 2
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Mathematical Standards

1.OA.A
Represent and solve problems involving addition and subtraction. (1.OA.A.1, 1.OA.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.
MP6.
Attend to precision.
MP7.
Look for and make use of structure.

Students work with a partner to build cube models based on three-dimensional drawings. Students explore strategies, including skip counting and repeated addition, for finding the volume of cube models.

Content in this Lesson

  • Grouping and counting objects.
  • Developing visualization and spatial reasoning skills [E6].
  • Measuring and estimating volume by building models and counting cubic
    units [E3].
  • Solving problems involving volume using repeated addition and skip
    counting [E1].
  • Representing the volume of an object using symbols, connecting cubes, and number sentences [E2].
  • Constructing a cube model from a drawing [E3].
  • Connecting different representations of shapes (three-dimensional drawings and cube models).
  • Showing one’s work [MPE5].
  • Using labels [MPE6].
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Materials for Students

Daily Practice and Problems Lesson Homework Assessment

Student Books

 Student Activity Book

Teacher Resources

 Teacher Guide - digital

Supplies for Student Pairs

calculator
60 connecting cubes

Materials for the Teacher

Display of TIMS Towers 1 Master (Teacher Guide)
Display of TIMS Towers 2 Master (Teacher Guide)
Display of Rules for Cube Buildings Master (Teacher Guide) Lesson 1
Display of Math Practices page (Student Activity Book) Reference
Unit 13 Assessment Record
chart paper

Materials Preparation

Make Charts. Create two charts that can be used to record the strategies students use to find the volume of the towers. Label one of the charts Tall Tower Volume and the other Sky-High Tower Volume. Divide the chart in half so you can record student strategies on one side and possible number sentences on the other. See Figure 1.


Figure 1: Charts for recording strategies and number sentences students use to find the volume of each tower

Prepare a Learning Center for Optional Targeted Practice. Place 30 connecting cubes, a calculator, and the Rules for Cube Buildings Master in a learning center. Students can take turn being the builder and the apprentice as in the Make Building Copies section of Lesson 1.

Assessment in this Lesson

Assessment Expectation Assessed Math Practices Expectation Assessed
TIMS Radio Tower
Student Activity Book
Pages 439–440
E1. 
Solve problems involving volume using repeated addition and skip counting.
E2. 
Represent the volume of an object using symbols, connecting cubes, and number sentences.
E3. 
Measure and estimate volume by building models and counting cubic units.
MPE5. 
Show my work. I show or tell how I arrived at my answer so someone else can understand my thinking.
MPE6. 
Use labels. I use labels to show what numbers mean.

Vocabulary in this Lesson