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Volume of Pyramids
Lesson 36 of 37
Objective: SWBAT determine the volume of pyramids using a formula
Big Idea: A simple demonstration explains the relationship in terms of volume between prisms and pyramids.
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Guided Practice
Students will solve the 5 guided practice problems. GP1-GP4 are purely application problem. GP5, to me, is the main idea of the entire lesson so this will be an important problem for me to use as a check for understanding. Students should provide a brief explanation for this problem based on evidence from the previous activity (GP3).
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This first 6 problems of this section mirror the first 4 of guided practice. Students should hopefully progress through these 6 problems quickly and spend more time on the extension questions.
Question #7 requires students to find two possible sets of dimensions for the base of a rectangular pyramid given its volume and height. Students need to realize that they are looking for a product of 120. Once they identify this structure (MP7), they should be able to come up with a variety of missing dimensions. As students get stuck I will ask: What is the volume of the pyramid? What did we learn about the volume of pyramids as related to the volume of prisms? If necessary, I may even ask for students to tell me the volume of a prism having the same base and height.
Question #8 requires students to reason abstractly (MP2). They must be able to work with dimensions in variable form to answer the question. If students are stuck, I may ask them to describe the volume of the prism based on the information given. Some students may choose to substitute values for the variables and then solve. This is also okay.
We will quickly go over the answers to problems 1-6 and spend most of our time discussing various solutions to the extension problems.
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Exit Ticket
I have set the criteria for success to 3 out of 4 on the exit ticket. This is with the hope that by this part of the lesson, students can pretty easily solve the first 3 problems. If students miss one problem, the error is probably not one of a lack of understanding, but a lack of being careful.
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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
