Lesson 6

Partitioning with Volume

Est. Class Sessions: 1
X

Mathematical Standards

2.NBT.A
Understand place value. (2.NBT.A.2)
2.NBT.B
Use place value understanding and properties of operations to add and subtract. (2.NBT.B.5, 2.NBT.B.7)
2.OA.A
Represent and solve problems involving addition and subtraction. (2.OA.A.1)
2.OA.C
Work with equal groups of objects to gain foundations for multiplication. (2.OA.C.4)

Standards for Mathematical Practice

MP2.
Reason quantitatively.
MP5.
Use appropriate tools strategically.
MP7.
Look for and make use of structure.
MP8.
Look for and express regularity in repeated reasoning.

Students write number sentences to describe the different ways to partition a number of cubes in a building plan. Applying the commutative and associative properties of addition, they write true number statements that show how the various ways of partitioning the cubes still result in the same total volume.

Content in this Lesson

  • Recognizing that different partitions of a number have the same total (e.g., 50 + 4 = 40 + 14) [E1].
  • Solving addition problems (e.g., part-whole, join) involving volume [E2].
  • Applying the properties of addition (e.g., commutative, associative) to write number sentences that represent volume [E3].
  • Count and add cubic units to find volume [E8].

Daily Practice and Problems Q–R

Q. Compare

R. Cube Model

X

Materials for Students

Daily Practice and Problems Lesson Homework Assessment

Student Books

Student Activity Book

Teacher Resources

Teacher Guide - digital

Supplies for Students

about 40 connecting cubes
desk number line (0–100), optional

Materials for the Teacher

Display of Many Ways to Say It (Student Activity Book) Pages 543–544
Display of Contessa Is Confused Master (Teacher Guide)
Unit 10 Assessment Record
Unit 10 Individual Assessment Record
Sample building. See Materials Preparation.

Materials Preparation

Build Sample Building. Build the 14-cube building as seen in Figure 1.

image

Figure 1: Building plan for sample 14-cube building


Assessment in this Lesson

Assessment Expectation Assessed
Putting It All Together
with Feedback Box
Student Activity Book
Pages 547–548
E1. 
Recognize that different partitions of a number have the same total (e.g., 50 + 4 = 40 + 14).
E2. 
Solve problems (e.g., part-whole, join) involving volume.
E3. 
Apply the properties of addition (e.g., commutative, associative) to write number sentences that represent the volume of a building.
E8. 
Count and add cubic units to find volume.

Vocabulary in this Lesson