Lesson 5

Buildings and Problems

Est. Class Sessions: 2
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.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.
MP7.
Look for and make use of structure.

Students solve problems with buildings made of cubes. They construct buildings with a specified building plan and number of cubes. They also construct buildings given a building plan, its height, and its volume.

Content in this Lesson

  • Constructing a building plan given the volume (number of cubes), floor plan, and height [E9].
  • Recognizing that different shapes can have the same volume [E6].
  • 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].
  • Counting and adding cubic units to find volume [E8].
  • Knowing the problem [MPE1].
  • Solving problems that have one solution, multiple solutions, or no solution.

Daily Practice and Problems M–P

M. Subtraction Facts Quiz

N. Money

O. Start By

P. Mass 2

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

Materials for the Teacher

Display of the Building Plan Two Ways Master from Lesson 4 (Teacher Guide)
Display of Building Problems page (Student Activity Book) Page 535
Unit 10 Assessment Record
Math Facts Class Record

Materials Preparation

Build a Building with Connecting Cubes. Construct a building that is 2 units from front to back, 3 units from left to right, and 4 units high, with a volume of 24 cubic units as shown in Figure 1.

image

Figure 1: Display building with 24 cubic units


Prepare Optional Targeted Practice. Place the Building Plan section of the Architects in Cubeland pages from Lesson 3 in the Student Activity Book in a center with connecting cubes. Students can create building clues, such as those on the Give Me a Clue page in the Student Activity Book. Give the number sentence or parts of the building plan and the volume and a partner will find the missing information.

Assessment in this Lesson

Assessment Expectation Assessed
Give Me a Clue
with Feedback Box
Student Activity Book
Pages 539–541
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.
DPP Item M
Subtraction Facts Quiz
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).

Vocabulary in this Lesson