Lesson 2

Building Plans in Cubeland

Est. Class Sessions: 2–3
X

Mathematical Standards

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

MP1.
Make sense of problems and persevere in solving them.
MP2.
Reason quantitatively.
MP4.
Model with mathematics.
MP7.
Look for and make use of structure.
MP8.
Look for and express regularity in repeated reasoning.

Students create blueprints (building plans) and construct buildings from the plans. They explore strategies for finding the volume of their buildings. Number sentences are used to express the volume.

Content in this Lesson

  • Solving problems (e.g., part-whole, join) involving volume [E2].
  • Applying the properties of addition (e.g., commutative, associative) to write number sentences that represent the volume of a building [E3].
  • Making connections between a building of cubes, the building plan, and number sentences [E4].
  • Recognizing that different shapes can have the same volume [E6].
  • Counting and adding cubic units to find volume [E8].
  • Using labels to show what numbers mean [MPE6].
X

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 Professor Peabody's Building Plan Master (Teacher Guide)
Display of the Our Building Plan section of the Building Plans pages (Student Activity Book) Page 509
Display of Rules for Building Plans Master (Teacher Guide)
Display of Professor Peabody Is Confused Master (Teacher Guide)
Unit 10 Assessment Record
Math Facts Class Record
sample cube buildings. See Materials Preparation.

Materials Preparation

Build Sample Cube Buildings. Use six connecting cubes to build the model shown in Figure 1. Then, use cubes to build the two models as specified in Question 4 of the Sara's Buildings section on the Building Plans pages in the Student Activity Book. See Figure 2 for the building plans. Finally, use 18 cubes to build the model in Question 2 of the Emily's Building Plan section on the Find Volume pages in the Student Activity Book. See Figure 3 for the building plans.

image

Figure 1: Building made of six connecting cubes


image

Figure 2: Building plans for Sara's buildings on the Building Plans pages


image

Figure 3: Building plan for Emily's building on the Find Volume pages

Build Samples for Rules of Building Plans. Create a set of three buildings that do not follow the rules for creating building plans as shown on the Rules for Building Plans Master and in Figure 4.

image

Figure 4: Examples of buildings that do not follow the rules of building plans

Assessment in this Lesson

Assessment Expectation Assessed Math Practices Expectation Assessed
Find Volume
Check-In: Questions 2–3
with Feedback Box
Student Activity Book
Pages 512–514
E3. 
Apply the properties of addition (e.g., commutative, associative) to write number sentences that represent the volume of a building.
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.
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.
"What If" Volume Problems
Check-In: Questions 4–6
with Feedback Box
Student Activity Book
Pages 516–517
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.
E4. 
Make connections between a building of cubes, the building plan, and number sentences.
E8. 
Count and add cubic units to find volume.
DPP Item C
Subtraction Practice
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.
DPP Item E
Fact Families
Teacher Guide - digital
E11. 
Determine the unknown number in an addition or subtraction sentence relating three whole numbers for the facts in Group B.