Shapes and Volume

Lesson 9

Math

Unit 3

5th Grade

Lesson 9 of 16

Objective


Understand that volume is additive. Find the volume of composite solid figures when all dimensions are given and their decomposition is already shown.

Common Core Standards


Core Standards

  • 5.MD.C.5.C — Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.

Foundational Standards

  • 4.MD.A.3
  • 3.OA.B.5

Criteria for Success


  1. Understand that volume is additive. 
  2. Find the volume of a composite solid figure made up of rectangular prisms where all dimensions are given. 
  3. Add (or subtract) to find the volume of a figure (or a part of a figure). 
  4. Write an equation to represent the volume of a composite solid. 

Tips for Teachers


Lesson Materials

  • Optional: Centimeter cubes (About 40 per student or small group) — Students might not need these depending on their reliance on concrete materials
Fishtank Plus

Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.

Anchor Tasks


Problem 1

What is the volume of the following figure?

Guiding Questions

Create a free account or sign in to access the Guiding Questions for this Anchor Problem.

Problem 2

Find the volume of the following figure.

Guiding Questions

Create a free account or sign in to access the Guiding Questions for this Anchor Problem.

References

EngageNY Mathematics Grade 5 Mathematics > Module 5 > Topic B > Lesson 6Concept Development

Grade 5 Mathematics > Module 5 > Topic B > Lesson 6 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Modified by Fishtank Learning, Inc.

Problem 3

A solid figure has a volume of 280 cubic cm. One of its parts has a volume of 196 cubic cm. What is the volume of its other part?

Guiding Questions

Create a free account or sign in to access the Guiding Questions for this Anchor Problem.

Problem Set


Answer Keys

Unlock the answer keys for this lesson's problem set and extra practice problems to save time and support student learning.

Discussion of Problem Set

  • You aren’t given any dimensions in #1. How are you still able to solve? What understanding about volume is necessary to solve? 
  • Imagine that the top prism was once identical to the bottom prism (much like the figure in #2(a)). If these two prisms were identical, what would the total volume be? Now, imagine that the end was removed from the top prism. What would the volume of that removed part be? If we wanted to know the total volume of the figure with this part removed, how could we do that? Is this the same volume we found when we added the two prisms? 
  • What is different about #4 compared to the other problems on the Problem Set? How did you solve?

Target Task


A construction company needs to make a concrete barricade, shown below. How much concrete, in cubic feet, do they need to mix to make the barricade?

Student Response

Create a free account or sign in to view Student Response

Additional Practice


The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.

Extra Practice Problems

Answer Keys

Answer keys for Problem Sets and Extra Practice Problems are available with a Fishtank Plus subscription.

Word Problems and Fluency Activities

Word Problems and Fluency Activities

Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.

icon/arrow/right/large copy

Lesson 8

icon/arrow/right/large

Lesson 10

Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Volume of Three-Dimensional Figures

Topic B: Classification of Two-Dimensional Shapes

Request a Demo

See all of the features of Fishtank in action and begin the conversation about adoption.

Learn more about Fishtank Learning School Adoption.

Contact Information

School Information

What courses are you interested in?

ELA

Math

Are you interested in onboarding professional learning for your teachers and instructional leaders?

Yes

No

Any other information you would like to provide about your school?

Effective Instruction Made Easy

Effective Instruction Made Easy

Access rigorous, relevant, and adaptable math lesson plans for free