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21 st Century Lessons. Volume of Right, Rectangular Prisms 6.G.2. Mrs. Thompson Level 1. Lesson Overview (1 of 3). Lesson Overview (2 of 3). Lesson Overview (3 of 3). Lesson Vocabulary. Prism

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21st Century Lessons

Volume of Right, Rectangular Prisms

6.G.2.

Mrs. Thompson

Level 1

Lesson Vocabulary

Prism

A solid object that has two identical ends and all flat sides. The cross section is the same all along its length. The shape of the ends give the prism a name

Right, Rectangular Prism

A solid (3-dimensional) object which has six faces that are rectangles.

Volume

The amount of 3-dimensional space an object occupies. Capacity.

Warm Up/Do Now

OBJECTIVE: SWBAT develop and utilize the formula for the

volume of right, rectangular prisms.

• Explain why the figure at left happens to be called a Right, Rectangular Prism.
• Think of 3 examples of these prisms that you encounter in everyday life.
• What geometric term do we use to describe the space inside 3-dimensional figures?
• Why is such space measured in cubic units rather than square units like when measuring Area?

Agenda

Agenda

OBJECTIVE: SWBAT develop and utilize the formula for the

volume of right, rectangular prisms.

1) Warm Up: Independent (10 Min)

2) Launch: Teacher Guided Problem (15 Min)

3) Explore: Partner/Group Investigation (30 Min)

4) Summary: Independent (5 Min)

5) Practice: Homework

Problem Launch

Jamal started a Boston business, City Crave, selling chocolate bars made using his grandmother’s recipe. He wants to ship the bars to a candy store in Los Angeles.

City

Crave

Agenda

Jamal has 3 shipping box options.

What are some important things for Jamal to consider?

No vertical stacking or bars will break.

Tall

Wide

Cube

First, he needs to know how much space is inside each box !

Agenda

Measuring Area Vs. Measuring Volume

Remember that when we wanted to find the space inside a 2-dimensional, flat shape, we determined how many 1 x 1 squares fit into that shape.

Area of rectangle is 18 units2

3

units

6 units

Well, to find the space inside of Jamal’s boxes

(3-dimensional prisms), we will use 1 x 1 x 1 cubes instead of flat squares. Don’t worry yet about the fact that his candy bars are not cubes…focus on box space.

Agenda

1 X 1 X 1 cube

How many cubes will fill each box ?

(these boxes are on CW page #1)

Agenda

CW Page #1 1 Problem – Many Brains

• Work with your partner(s) on problem #1.
• Pencils down when you reach the sign.

6 minutes on the clock!

Click on the timer!

Agenda

CW Page #2 1 Problem – Many Brains

Work with your partner(s) on problem #2.

• Discuss why the formula is followed by units3.
• Pencils down when you reach the sign.

2 minutes on the clock!

Click on the timer!

Agenda

CW Page #2 1 Problem – Many Brains

• Work with your partner(s) on problem #3.
• Make sure to assist one another if needed.
• Pencils down when you reach the
• sign.

7 minutes on the clock!

Click on the timer!

Agenda

Summary, Key to Leave, HW

3) Calculate the volume of the prism. Show all work. Measured in cm.

• Provide a definition for volume. How is it different than area and perimeter? (think units)
• What is the formula for the volume of Right, Rectangular Prisms?

Challenge - Given a right, rectangular prism with a volume of 120 cm3, length of 12 cm, and width of 5 cm, determine the prism's height.

Agenda

Name: