 I can Solve word problems involving the volume of rectangular prisms with whole number edge lengths. Learning Targets.

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Presentation transcript:

 I can Solve word problems involving the volume of rectangular prisms with whole number edge lengths. Learning Targets

Multiply fractions Count by cubic centimeters Find the volume Find the total volume of solid figures composed of two non- overlapping rectangular prisms. Given a volume, determine possible dimensions of a rectangular prism. Find the total volume of solid figures composed of two non- overlapping rectangular prisms.

Fluency Practice

Write a multiplication sentence to express the volume of the rectangular prism

Fluency Practice Write a multiplication sentence to express the volume of the rectangular prism

Fluency Practice Write a multiplication sentence to express the volume of the rectangular prism

Fluency Practice Write a multiplication sentence to express the volume of the rectangular prism

Fluency Practice Write a multiplication sentence to express the volume of the rectangular prism

Problem 5 Concept Development Problem 1 Geoffrey’s first planter is 8 feet long and 2 feet wide. The container is filled with soil to a height of 3 feet in the planter. What is the volume of soil in the planter? Explain your work using a diagram

Problem 5 Concept Development Problem 2 Geoffrey wants to grow some tomatoes in four large planters. He wants each planter to have a volume of 320 cubic feet, but he wants them all to be different. Show four different ways Geoffrey can make these planters, and draw diagrams with the planters’ measurements on them.

Problem 5 Concept Development

Problem 5 Concept Development

Problem 5 Concept Development

Problem 5 Concept Development

Problem 5 Concept Development Problem 3 Geoffrey wants to make one planter that extends from the ground to just below his back window. The window starts 3 feet off the ground. If he wants the planter to hold 36 cubic feet of soil, name one way he could build the planter so it is not taller than 3 feet. Explain how you know.

Problem 5 Concept Development Possible Solution:

Problem 5 Concept Development Problem 4 After all of this gardening work, Geoffrey decides he needs a new shed to replace the old one. His current shed is a rectangular prism that measures 6 feet long by 5 feet wide by 8 feet high. He realizes he needs a shed with 480 cubic feet of storage.

Problem 5 Concept Development A. Will he achieve his goal if he doubles each dimension? Why or why not?

Problem 5 Concept Development B. If he wants to keep the height the same, what could the other dimensions be so that he gets the volume he wants?

Problem 5 Concept Development C. If he uses the dimensions in Part (b), what would be the area of the new shed’s floor?

Practice

Review Practice Activate Knowledge ✔ Check Understanding Teamwork Learning Targets Fluency Practice Application Problem Sprint A Concept Development