Lesson 4

Buildings and Plans

Est. Class Sessions: 2–3
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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.G.A
Reason with shapes and their attributes. (2.G.A.1, 2.G.A.2)
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.
MP3.
Construct viable arguments and critique the reasoning of others.
MP5.
Use appropriate tools strategically.
MP6.
Attend to precision.
MP7.
Look for and make use of structure.

Students develop their spatial visualization skills while constructing buildings using pictures of the buildings. They identify the correspondence between building plans and the matching pictures. Students continue to explore strategies for finding volume.

Content in this Lesson

  • Recognizing that different partitions of a number have the same total [E1].
  • Solving problems (e.g., part-whole, join) involving volume [E2].
  • Applying the properties of addition (e.g., commutative, associative) to compose number sentences that represent the volume of a building [E3].
  • Making connections between a building of cubes, the building plan, number sentences, and a picture of the building [E4].
  • Recognizing that different shapes can have the same volume [E6].
  • Counting and adding cubic units to find volume [E8].
  • Constructing a building plan given the volume (number of cubes) [E9].
  • Knowing what information is important when solving a problem [MPE1].
  • Showing work so others can understand the strategy [MPE5].
  • Using labels to show what numbers mean [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

about 40 connecting cubes

Materials for the Teacher

Display of Building Plan Two Ways Master (Teacher Guide), 3–4 copies
Display of Duet Towers Master (Teacher Guide)
prepared displays of the Building Plan Two Ways Master (Teacher Guide). See Materials Preparation.
Display of Math Practices page (Student Activity Book) Reference
Unit 10 Assessment Record
Math Facts Class Record
connecting cubes. See Materials Preparation.

Materials Preparation

Build Duet Towers. Construct the building made of cubes from the Duet Towers Master as shown in Figure 1.

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Figure 1: Cube building from Duet Towers Masters

Make Cube Buildings and Plans. For Part 2 of the lesson, construct two different buildings made with 10 to 20 cubes each. Record building plans for these buildings on displays of the Building Plan Two Ways Master. Make a couple extra copies of the Master for use during the lesson. See Figure 2 for one example.

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Figure 2: Sample building plan for 15-cube display building

Prepare a Learning Center for Optional Targeted Practice. Make copies of the Building Plan Two Ways Master and place with connecting cubes in a center. Challenge students to find two different ways to partition and represent the volume of a building.

Assessment in this Lesson

Assessment Expectation Assessed Math Practices Expectation Assessed
Building Detective
with Feedback Box
Student Activity Book
Pages 531–533
E1. 
Recognize that different partitions of a number have the same total.
E2. 
Solve problems (e.g., part-whole, join) involving volume.
E4. 
Make connections between a building of cubes, the building plan, and number sentences.
E6. 
Recognize that different shapes can have the same volume.
E8. 
Count and add cubic units to find volume.
E9. 
Construct a building plan given the volume (number of cubes), floor plan, and height.
MPE1. 
Know the problem. I read the problem carefully. I know the questions to answer and what information is important.
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.
DPP Item I
Addition and Subtraction
Teacher Guide - digital
E10. 
Demonstrate fluency with the subtraction facts related to the addition facts in Group B (3 − 0, 4 − 0, 5 − 1, 5 − 4, 6 − 1, 6 − 5, 7 − 1, 7 − 2,
7 − 5, 7 − 6, 8 − 1, 8 − 2, 8 − 3, 8 − 5, 8 − 6,
8 − 7, 9 − 1, 9 − 8).
E11. 
Determine the unknown number in an addition or subtraction sentence relating three whole numbers for the facts in Group B.

Vocabulary in this Lesson