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# Volume of Composite Shapes

Lesson 34 of 37

## Objective: SWBAT solve problems involving the volume of composite shapes

*30 minutes*

#### Opening

*5 min*

I will now have students turn to the first page of the module (packet). I will given them a few minutes to quietly and independently fill out the 6 questions on the page. These questions mirror the questions from the previous section. I will check students answer as a check for understanding while they are working. We will quickly go over the answers. If there are any general misunderstandings we will highlight those and discuss.

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#### Problem Solving

*15 min*

I will allow students to work with their partners on the problem solving tasks. Problems 1 and 3 are almost identical to the problems we looked at in the previous two parts of the lesson. I included a cylinder with a hole in the shape of a cone. I provided a formula in this case since we will not work with cones until 8^{th} grade.

If time is limited, I will try to make sure all students do 1-4 and then perhaps pick an option for 5-8. I’d like everyone to have a chance to get to the extension. This problem develops MP1 as the task involves making sense of the LEGO dimensions as given. It also develops **MP7** as students match the 2D and 3D representations of the LEGOs to understand the dimesions.

#### Resources

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#### Exit Ticket

*5 min*

I have provided 3 questions. The first two involve the same skill (only the component shapes differ), so I may tell students to pick either 1 or 2 and then have everybody do 3.

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- LESSON 1: Explore Perimeter and Area of Composite Shapes
- LESSON 2: Perimeter of Irregular Rectilinear Shapes
- LESSON 3: Area of Composite Shapes Using a Grid
- LESSON 4: Area of Composite Shapes
- LESSON 5: Area of Regions Formed by Inscribed Shapes
- LESSON 6: CORNERSTONE:Circle Ratios: Diameter to Radius; Circumference to Diameter
- LESSON 7: CORNERSTONE: Circumference Formula
- LESSON 8: Area of a Circle
- LESSON 9: Circumference & Area Fluency Practice
- LESSON 10: Finding the Radius From a Given Circumference or Area
- LESSON 11: Circumference from Area / Area from Circumference
- LESSON 12: Circle Designs: Finding the Area and Perimeter of Shapes Composed of Arcs and Line Segments
- LESSON 13: Assessment_Area and Perimeter (Circumference) of Composite Shapes and Circles
- LESSON 14: Drawing Prisms & Pyramids
- LESSON 15: Describe Prisms and Pyramids Using Algebra
- LESSON 16: Using Nets to Find the Surface Area of Prisms
- LESSON 17: Using a Formula to Find the Surface Area of Prisms
- LESSON 18: Finding the surface area of triangular prisms using a net
- LESSON 19: Finding the Surface Area of a Triangular Prism Using A Formula
- LESSON 20: Discovering the Formula for the Surface Area of A Cylinder
- LESSON 21: Finding the Surface Area of Cylinders Using a Formula
- LESSON 22: Practice Day: Surface Area of Prisms & Cylinders
- LESSON 23: Surface Area of Prisms and Cylinders Assessment
- LESSON 24: Finding the Surface Area of Pyramids Using Nets
- LESSON 25: Finding the Surface Area of Pyramids Using a Formula
- LESSON 26: Surface Area of Composite Shapes
- LESSON 27: Surface Area of Composite Shapes With Holes
- LESSON 28: Surface Area Assessment
- LESSON 29: 3-D Models from 2-D Views
- LESSON 30: Exploring Volume and Surface Area with Unifix Cubes
- LESSON 31: Explore Volume of Rectangular Prisms
- LESSON 32: Find the Volume of Prisms Using a Formula
- LESSON 33: Volume Of Cylinders Using a Formula
- LESSON 34: Volume of Composite Shapes
- LESSON 35: Volume and Surface Area - Accelerated Math Fluency Day
- LESSON 36: Volume of Pyramids
- LESSON 37: Surface Area and Volume Final Assessment