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Geometry Resources & Lesson Plans7 chapters | 203 lessons

Instructor:
*John Hamilton*

John has tutored algebra and SAT Prep and has a B.A. degree with a major in psychology and a minor in mathematics from Christopher Newport University.

Educate your students on how to find the volume of a rectangular prism with this helpful lesson plan. They will study a text lesson, take a related quiz on their newfound knowledge, and take part in a hands-on activity.

After studying this lesson on rectangular prisms, your students will be able to:

- Define the term rectangular prism and give some real-world examples
- Explain why certain objects are not classified as rectangular prisms
- Recap how to calculate the volume of rectangular prisms using the proper formula

1 - 1.5 Hours

- Copies of the text lesson Finding the Volume of a Rectangular Prism along with the related lesson quiz, one for each student
- Worksheets containing 26 rectangular prism problems numbered 1-26, along with a second set of worksheets containing 26 matching solutions marked A-Z, but not in the same order as the problems worksheet; one set of worksheets for each pair of students
- Answer key for the worksheets (one only for the teacher)
- Internet access
- Six small prizes

- CCSS.MATH.CONTENT.6.G.A.2

Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

- CCSS.MATH.CONTENT.6.G.A.4

Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.

- Let your students know they are going to be studying rectangular prisms.
- Ask them if anyone is familiar with rectangular prisms, or has even studied them in a previous class.
- Pass out copies of the text lesson Finding the Volume of a Rectangular Prism.
- Read the introduction and the first two sections titled 'Let's Fill a Box with Honey' and 'What a Prism Is.' Ask your students:
- What are two real-world examples of rectangular prisms?
- How would you define a prism? What are three examples of non-prism shapes?
- How does the concept of a cross-cut section play into determining if an object is a prism?

- Now read the next two sections titled 'What a Rectangular Prism Is' and 'Finding the Volume of a Rectangular Prism.' Ask them:
- How would you define a rectangular prism, as opposed to a prism? Can you name two more examples besides cereal boxes?
- What is the mathematical formula for finding the volume of a rectangular prism?

- Next read the last two sections titled 'Example of Calculating Volume of a Rectangular Prism' and 'Some Cautions.' Ask:
- Can you explain the relationship between cubic centimeters and milliliters?
- What is an important consideration to remember before multiplying the three sides of a rectangular prism?

- Lastly, read the 'Lesson Summary' of this text lesson.
- Recap the entire text lesson, ask your students if they have any final questions, and have them take the lesson quiz to determine if they truly understand the new concepts.
- When all students are done, go over the answers as a class - you may want to have students come to the board and show the solution to the problems for further review.

- Divide your students into pairs. Tell your students they are going to have a 'Matching Game' contest.
- Tell your students not to flip over the worksheets until you give the command.
- Pass out the worksheets (face-down) containing the rectangular prism problems and solutions. Each pair of students should receive one problems worksheet and one solutions worksheet.
- Tell your students 'Ready, Set, Go!'
- Have the groups work to solve the problems as pairs. For example, let's suppose the first question on the first worksheet shows a rectangular prism that is five centimeters high by seven centimeters wide by three centimeters deep. They would then look on the second worksheet for the corresponding answer of 105 cubic centimeters, to match the first worksheet.
- When the groups finish, immediately grade the results as they are turned in to you. If even one answer is incorrect, hand the worksheet back to the pair so they can try again.
- Allow all the groups to finish.
- Pass out the prizes to the first three pairs that answered all 26 problems correctly in the shortest amount of time.

- Does your classroom have any of those large cinder blocks on its walls? If so, ask your students if they are rectangular prisms (yes.) Now ask if they can determine the volume of one by estimating the length, width, and height of one cinder block. Now ask them to estimate how many blocks it takes to go from the floor to the ceiling, and how many blocks it takes to go from the left side of the wall to the right side of the wall. Can they then multiply those two numbers by the volume of one brick to come up with a pretty close estimate for the volume of the entire wall?
- If your classroom does not have these cinder blocks, ask your students to look around the room and find some real-world examples of rectangular prisms. Some examples they may see include books and cardboard boxes.
- Ask them if it seems somewhat odd that the word 'prism' is associated with the word 'rectangular' in this lesson plan. After all, the prism most of us are familiar with is one of those triangular ones that bends light into different colors.
- Ask your students what was the trickiest part of trying to solve those worksheet problems.

A cuboid is a mathematical concept similar to a rectangular prism. Write a one-page paper comparing and contrasting the two concepts.

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