CylinderDAY 1

Cylinder: Warm-Up

TIME: 5 minutes

DIRECTIONS:• Work at your table (in groups of 3 to 4)• Define in your own word to what

Cylinder means.• What are the characteristics of the

word?• What does it look like?• Use descriptive language to

describe the word.• Provide examples that related to the

idea• Provide non-examples or opposites/

antonyms

Warm-Up: Cylinder Facts

Characteristics: • It has a flat base and a flat

top• The base is the same as

the top, and also in between

• It has one curved side• Because it has a curved

surface it is NOT a polyhedron/prism

Where do you see cylinder in your everyday life?

Cylinder: Formula

• 2-D dimension • 3-D dimensionFILL IT UP

A=

Height/ Altitude/layer

Problem 1

Find the volume of the cylinder with a diameter of 12 inches and a height of 8 inches.

R= D/2 =12/2= 6 inchesV= pi* r^2 * hV= (3.14) (6 inches^2) (8 inches)= 909.32 cubic inches or 909.32 inches^3

Volume of a cylinder =

Problem 2Students:• Work in groups of 3 to 4 students Materials:• two rulers and two candlesWork at your table:You have two cylindrical candles with different dimensions on your table. How can you determine which candle took more wax to make? Which one took more max to make? Use your mathematics reasoning to explain your reason. Think: • What is the question ask you to find?• In order to answer the question, what do we

need to find first? • Be ready to share with the class

Exit Slip

• On your note card write down:NAME TOPIC: Volume of a CylinderDATEPERIOD

You don’t have to write down the question

Draw out the picture and label everything correctly

SHOW YOUR WORK andBOX YOUR ANSWER

Question:Find the volume of a cylindrical fish tank with a diameter of 4 feet and a height of 3 feet.

Life Application

DAY 2

Warm-Up- Math Flip book!

TIME: 10 minutes

DIRECTIONS:• each student has 2 pieces of white

papers Volume

By: __________

Cylinder

Cone

SphereCylinder

• Draw a picture of a cylinder• Include the formula• Provide an example: COPY THIS

DOWN AND SOLVE IT• “Find the volume of a cylinder

with a diameter of 6 and a height of 2.”

Popcorn Cylinders Anyone?

Students:• Work with your assigned partnerMaterials:• Bag of popcorn, two papers, and

rulersWork at your table:With your assigned partner, work together on the Popcorn Cylinder Activity. Follow the instruction on the worksheet.

ConeDAY 3

Warm-Up

1) What are some of the characteristics of a cylinder?

2) Find the volume of a cylinder with the diameter of 20 centimeters and a height of 10 centimeters?

3) The tank contains a total of 100 cubic inches of water. The tank has a radius of 25 inches. What is the height of the tank?

Where do you see cylinder in your everyday life?

Cone: Formula

IN ORDER TO SHOW THAT THE FORMULA WORKS: The cone and the cylinder have same height and have the same Based area.

Cone: Formula

As a table, discuss how many how many cones do we need to fill up this tank?

Cone: Formula

If you need three cones to fill up a cylinder with the same length and Based area, then it is the same as saying you only need 1/3 of a cylinder to fill up one cone.

Problem 1

Find the volume of the conewith the radius of 2 inches anda height of 10 inches.

V= pi* r^2 * hV= (3.14) (2 inches^2) (10 inches)= 125.6 cubic inches or 125.6 inches^3

Volume of a cylinder =

Problem 2Work at your table:You want to make orange juice. Each orange contains 20 cubic millimeters. You want to put the juice in a cone that has a height of 100 millimeters and a radius of 30 millimeters. How many oranges do I need to fill up the cone completely?

Think: • What is the question ask you to find?• What formula do you need?• Be ready to share with the class

Exit Slip

• On your note card write down:NAME TOPIC: Volume of a CylinderDATEPERIOD

You don’t have to write down the question

Draw out the picture and label everything correctly

SHOW YOUR WORK andBOX YOUR ANSWER

Question:Find the volume of a funnel with a diameter of 4 feet and a height of 3 feet.