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Volume of Rectangular Prisms
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Volume of Rectangular Prisms
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By the end of the lesson, you will be able to… Lesson 3 Objective: Compose and decompose right rectangular prisms using layers. 5th Grade Module 5 Lesson 3 K. Clauson

Time to Sprint!

Find the Volume Each cube is 1 cubic centimeter Volume = _____ cubic cm

Application Problem An ice cube tray has two rows of 8 cubes in each. How many ice cubes are in a stack of 12 ice cube trays? Draw a picture to explain your reasoning.

Concept Development Teacher notes Students will need: - centimeter cubes (20 is recommended) - rectangular prism recording sheet Teacher will need:

Concept Development Build this with your own cubes. What is the volume of this rectangular prism? Let’s add layers horizontally. Add another layer next to the first one. What is the volume now? Add three more layers next to the first two? How did you figure that out?

Let’s record how we built the layers! How many layers did we build in all? Write a number sentence that expresses the volume of this prism using five layers. Turn and talk. 4 4 4 4 4

Record the information on a table! Number of Layers Cubes in Each Layer Volume 5 4 20 cm3

Let’s record how we built the layers! Now let’s split the prism into layers like a cake! One stacked on top of each other! The prism is 2 units high. How many cubes are on the top layer? The bottom layer? Write a number sentence that expresses the volume of this prism using these layers. Turn and talk. 10 10

Record the information on a table! Number of Layers Cubes in Each Layer Volume 5 4 20 cm3 2 10

Let’s record how we built the layers! Now let’s split the prism a third way. Work with your partner to partition the prism, label the layers, write the number of cubes in each layer. Write a number sentence that expresses the volume of this prism using these layers. Turn and talk. 10 10

Record the information on a table! Number of Layers Cubes in Each Layer Volume 5 4 20 cm3 2 10

I will model it step by step for you! Let’s draw the different layers together. Use the last prism in the row of your recording sheet. I will model it step by step for you! (Teachers- use Interwrite tools to draw on the lines.)

Build a prism with a partner that has one 3 cube by 3 cube layer. What is the volume? Add another layer of cubes on top? What is the volume now? How do you know? Add another layer! What is the volume? What is the overall shape of your rectangular prism? Let’s record this information on the recording sheet the same way we just did with our 2 by 2 by 5 rectangular prism.

Recording the information on the second row of boxes of your recording sheet. (Teachers- use Interwrite tools to draw the lines.)

Build this prism!

Let’s draw this prism on the third row of boxes on your recording sheet!

Get Ready to Finish the Problem Set on Your Own! Work on Problem Set 3. You will have 10 minutes to work! -------------------------------------------------------------------Fast finishers: Math Center Activities- choice boards, extra Sprint challenge CML packets/ worksheets Problem Solving pages 5th Grade Module 5– Lesson 3 K. Clauson

5th Grade Module 5- Lesson 3 LET’S Debrief Take 2 minutes to check your answers with your partner. Let’s share any insights you had while solving these problems. 5th Grade Module 5- Lesson 3 K. Clauson

5th Grade Module 5– Lesson 3 EXIT TICKET LESSON 3 5th Grade Module 5– Lesson 3 K. Clauson