Lesson 7

Problem Solving with Volume

Est. Class Sessions: 2–3
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Mathematical Standards

5.NBT.B
Perform operations with multidigit whole numbers and with decimals to hundredths. (5.NBT.B.5, 5.NBT.B.6)
5.MD.C
Geometric measurement: understand concepts of volume. (5.MD.C.3, 5.MD.C.4, 5.MD.C.5)

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.
MP5.
Use appropriate tools strategically.
MP7.
Look for and make use of structure.

Students use multiplication and division strategies to find the volume of boxes and solve multistep problems involving volume.

Content in this Lesson

  • Using multiplication and division strategies to find the volume of boxes [E9].
  • Solving multistep problems using addition, subtraction, multiplication, and division [E7].
  • Knowing the problem [MPE1].
  • Finding a strategy [MPE2].
  • Checking for reasonableness [MPE3].
  • Communicating solution strategies [MPE5].
  • Using labels (e.g., centimeters, cubic centimeters) to show what numbers mean [MPE6].
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Materials for Students

Daily Practice and Problems Lesson Homework Assessment

Student Books

 Student Guide
Student Activity Book

Teacher Resources

 Teacher Guide - digital

Supplies for Students

  • centimeter ruler
  • calculator
  • scissors
  • glue
  • 24 centimeter connecting cubes

Supplies for Student Groups

  • tape
  • 60–100 centimeter connecting cubes

Materials for the Teacher

Assessment in this Lesson

Assessment Expectation Assessed Math Practices Expectation Assessed

Find the Volume
Teacher Guide - digital
E7.
Solve multistep problems using addition, subtraction, multiplication, and division.
E9.
Use multiplication and division strategies to find the volume of boxes.
MPE1.
Know the problem. I read the problem carefully. I know the questions to answer and what information is important.
MPE2.
Find a strategy. I choose good tools and an efficient strategy for solving the problem.
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