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# Explore Volume of Rectangular Prisms

Lesson 31 of 37

## Objective: SWBAT discover the formula for the volume of a prism through problem solving

#### Partner Problem Solving

*10 min*

I will collect the unifix cubes before this section. Now we are moving to the pictorial activity. Students will be given a few minutes to answer the questions on the page. As students are working, I will walk around to assess student work. Problems 1 & 2 are essential for students understanding the generic formula for the volume of prisms, so I will initially focus my attention there.

Question 4 is an opportunity for students to develop a viable argument (**MP3**). The bullet points are provided to help them construct their arguments. Any number of answers may be appropriate, but they must be well constructed answers. For example: “I see that the number of cubes in each layer is equal to the product of the length and width of the prism.” A well formed argument will use language precisely as well (**MP6**)! Question C1 and C2 are so that students can see that rotations do not affect volume or surface area. We will have a share out of findings before moving on to the next section.

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#### Independent Problem Solving

*10 min*

Now I would like my students to work through some problems independently. There are only 5 problems, so I expect everybody to make it to the extension questions. Notice these are just a variation on the warmup acitivity. The only difference here is that I only want unique combinations (not permutations). I will most likely not allow any calculator use as the problems are pretty straight forward and questions 4-5 provide a good review of decimal multiplication and division.

Extension question B is a review of surface area. It also allows students to develop **MP1** and **MP3**.

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#### Exit Ticket

*5 min*

The exit ticket has 2 simple application problems and a slightly more difficult 3 problem, where the volume is given but one dimension is missing. It is very important that students show their work or explain their solution for problem #3. Some may write an equation; others may use arithmetic only. Either way is fine as long as they can justify the answer.

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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