## Process:

1. You will need to record your answers to the following questions in your math

journal: (Printable Worksheet)

1) What does volume mean?

2) What is a hemisphere?

3) Define radius and diameter and how they are related.

4) What is the formula for finding the volume of a cone?

5) What is the formula for finding the volume of a cylinder?

6) What is the formula for finding the volume of a sphere?

7) Show or explain how you would find the volume of a cylinder with a radius

of 4 feet and a height of 10 feet.

8) Give a scenario in real life where you would need to find the volume of

either a cone, sphere, or cylinder or a combination of these shapes.

Note: A "Student Check Off List" for this project is available for students to keep

track of what they have finished and not finished during this lesson.

2. Everyone will be involved in a jigsaw cooperative learning group. First you'll be

assigned to a team of 3 students, this will be your "home" group, and each

person will be given a cone, cylinder or a sphere to research. All the students

with the same shape will meet and use the following resources to become an

expert on their shape. Students need the following on their "Info Sheet":

**Sketch of the shape

**Volume formula of Shape

**Worked out example of solving the formula for the shape

Note:

The teacher will collect and grade your "Info Sheet" (the information you

researched and bring back to share with your home group)--so take good

notes. A printable outline for Student's Drawing & Calculation Worksheet.

** Find Volume of Cone

** Volume of Cone

** Google Images of a Cone

** Student's Math Textbook: McDougal Littell Math Course 3 (2007 Edition)

** Find Volume of a Sphere

** Volume of a Sphere

** Google Images of a Sphere

** Student's Math Textbook: McDougal Littell Math Course 3 (2007 Edition)

** Find Volume of a Cylinder

** Google Images of a Cylinder

** Student's Math Textbook: McDougal Littell Math Course 3 (2007 Edition)

3. After you return to your home group, share your findings with everyone in your

group. Remember, you are the expert on this shape, don't let your team down.

4. Each person in your group will need to fill out a

You should check over each others work to check for labels, explanations, and

accuracy before turning them in to your teacher. Notice: The volume of a

hemisphere is added to your list. In your home group, discuss how you can get

the formula for the volume of a hemispere and simplify it as much as possible,

then fill out the rest of the worksheet.

**Definition of a hemisphere can be found in dictionary, your textbook or

following website:

5. Your group will need to collaborate and come up with as many sketches of

different shaped pills your company can create using your researched shapes

(cone, cylinder, sphere and hemisphere) or any combinations of these shapes

to create an individual pill/capsule. Under each pill/capsule, list which

shapes(s) were used to create it. These sketches will be collected by your

teacher--everyone in the group should draw at least one of the sketches. Your

group will turn in one complete set of sketches--make sure everyone in your

group has their name on the set before handing them to the teacher.

Remember the researchers will need a variety of shapes and sizes of a capsule

to hold the correct dosage for their medicine in each pill--the dosage will vary

by the age and weight of the patient. The following is a picture to help your

team come up with a few ideas to start your capsule/pill sketches.

journal: (Printable Worksheet)

1) What does volume mean?

2) What is a hemisphere?

3) Define radius and diameter and how they are related.

4) What is the formula for finding the volume of a cone?

5) What is the formula for finding the volume of a cylinder?

6) What is the formula for finding the volume of a sphere?

7) Show or explain how you would find the volume of a cylinder with a radius

of 4 feet and a height of 10 feet.

8) Give a scenario in real life where you would need to find the volume of

either a cone, sphere, or cylinder or a combination of these shapes.

Note: A "Student Check Off List" for this project is available for students to keep

track of what they have finished and not finished during this lesson.

__(Printable Copy of "Student Check Off List")__

2. Everyone will be involved in a jigsaw cooperative learning group. First you'll be

assigned to a team of 3 students, this will be your "home" group, and each

person will be given a cone, cylinder or a sphere to research. All the students

with the same shape will meet and use the following resources to become an

expert on their shape. Students need the following on their "Info Sheet":

**Sketch of the shape

**Volume formula of Shape

**Worked out example of solving the formula for the shape

Note:

The teacher will collect and grade your "Info Sheet" (the information you

researched and bring back to share with your home group)--so take good

notes. A printable outline for Student's Drawing & Calculation Worksheet.

__Cone Resources:__** Find Volume of Cone

** Volume of Cone

** Google Images of a Cone

** Student's Math Textbook: McDougal Littell Math Course 3 (2007 Edition)

__Sphere Resources:__** Find Volume of a Sphere

** Volume of a Sphere

** Google Images of a Sphere

** Student's Math Textbook: McDougal Littell Math Course 3 (2007 Edition)

__Cylinder Resources:__

** Volume of a Cylinder** Find Volume of a Cylinder

** Google Images of a Cylinder

** Student's Math Textbook: McDougal Littell Math Course 3 (2007 Edition)

3. After you return to your home group, share your findings with everyone in your

group. Remember, you are the expert on this shape, don't let your team down.

4. Each person in your group will need to fill out a

__"Basic Shape and Volume Worksheet"__that will be collected by your teacher.You should check over each others work to check for labels, explanations, and

accuracy before turning them in to your teacher. Notice: The volume of a

hemisphere is added to your list. In your home group, discuss how you can get

the formula for the volume of a hemispere and simplify it as much as possible,

then fill out the rest of the worksheet.

**Definition of a hemisphere can be found in dictionary, your textbook or

following website:

__http://www.mathsisfun.com/definitions/hemisphere.html__5. Your group will need to collaborate and come up with as many sketches of

different shaped pills your company can create using your researched shapes

(cone, cylinder, sphere and hemisphere) or any combinations of these shapes

to create an individual pill/capsule. Under each pill/capsule, list which

shapes(s) were used to create it. These sketches will be collected by your

teacher--everyone in the group should draw at least one of the sketches. Your

group will turn in one complete set of sketches--make sure everyone in your

group has their name on the set before handing them to the teacher.

Remember the researchers will need a variety of shapes and sizes of a capsule

to hold the correct dosage for their medicine in each pill--the dosage will vary

by the age and weight of the patient. The following is a picture to help your

team come up with a few ideas to start your capsule/pill sketches.

6. Using the sketches you have created, your group needs to select the

best two capsule shapes your company could create by using a combination of

at least two different basic shapes (cone, cylinder, sphere, and hemisphere)--

refer to your original sketches.

7. In your home group, assign the following student rolls:

*Artist: drawing and labeling sketches of shapes

*Recorder: writing and explaining how to find the volume of shapes

*Checker: check for labels and accuracy of the work of the artist &

recorder

8. Your company (home group) needs to sketch the shape of each available size

of the two pills your group selected and find the various dosages each size will

hold using the available mold sizes your company already has on hand. The

dosage must be measured in cubic millimeters of medicine (rounded to the

nearest hundredth).

Note: The company's molds can only make capsules in these shapes with the

following measurements:

**Diameters of 6 and 9 millimeters.

**Cone Height: 1 and 2 millimeters

**Cylinder Height: 3 and 4 millimeters

patient’s esophagus researched by your company.

9. Your company team (group) will need to create one document for your

company to present to the Cancer Research Center for these two

capsule shapes including the various dosages each will hold by varying the

diameter and height of the molds your company has to offer. You need to

show your sketches with labels and how you arrived at the amount of dosage

each pill will hold. Beware--the wrong calculations could be a deadly mistake

for its patients—their lives are in your hands! Include a paragraph explaining

why the Research Center should use at least one of your pill/capsule

designs. This information needs to be submitted to the Research Cure Center

within two days. Can you be part of a cure for cancer?

10. Your boss just called, he had an emergency meeting out of town and will not

be back before the deadline to look over your team's proposal. He has left it

up to you and your team to finalize your finding and fax your proposal to the

Cancer Research Center. The proposal must be in the Research Center's

hands by morning, so make sure your team organizes the results and gets it

faxed ASAP! The boss is counting on your team. Keep in mind, this could

mean a “Promotion” for your team-- so pull out all the stops! The

following items should be on your proposal to be faxed to the Cancer

Research Center:

**Sketches of the various sizes of the two pills/capsules you recommend

with labels

**Dosage each pill/capsule will hold--showing work/calculations

Note: Keep within limitations of your company molds sizes!

**A paragraph stating why the company should use at least one of your

pill/capsules to administer to their patients.

11.

calculations compare to the computers calculations:

Website where computer calculates volume of a cylinder

Website where computer calculates volume of a cone

Website where computer calculates volume of a sphere

12. After your team has solved the above task, each of you will go to your math

journal and start a new entry. Individually, each of you will revisit the

questions you answered at the beginning of this task. Answer the questions

again by applying the information you gained from solving the above task and

give to your teacher.

best two capsule shapes your company could create by using a combination of

at least two different basic shapes (cone, cylinder, sphere, and hemisphere)--

refer to your original sketches.

7. In your home group, assign the following student rolls:

*Artist: drawing and labeling sketches of shapes

*Recorder: writing and explaining how to find the volume of shapes

*Checker: check for labels and accuracy of the work of the artist &

recorder

8. Your company (home group) needs to sketch the shape of each available size

of the two pills your group selected and find the various dosages each size will

hold using the available mold sizes your company already has on hand. The

dosage must be measured in cubic millimeters of medicine (rounded to the

nearest hundredth).

Note: The company's molds can only make capsules in these shapes with the

following measurements:

**Diameters of 6 and 9 millimeters.

**Cone Height: 1 and 2 millimeters

**Cylinder Height: 3 and 4 millimeters

__Note__: These sizes are also due to limitations of the various sizes of apatient’s esophagus researched by your company.

9. Your company team (group) will need to create one document for your

company to present to the Cancer Research Center for these two

capsule shapes including the various dosages each will hold by varying the

diameter and height of the molds your company has to offer. You need to

show your sketches with labels and how you arrived at the amount of dosage

each pill will hold. Beware--the wrong calculations could be a deadly mistake

for its patients—their lives are in your hands! Include a paragraph explaining

why the Research Center should use at least one of your pill/capsule

designs. This information needs to be submitted to the Research Cure Center

within two days. Can you be part of a cure for cancer?

10. Your boss just called, he had an emergency meeting out of town and will not

be back before the deadline to look over your team's proposal. He has left it

up to you and your team to finalize your finding and fax your proposal to the

Cancer Research Center. The proposal must be in the Research Center's

hands by morning, so make sure your team organizes the results and gets it

faxed ASAP! The boss is counting on your team. Keep in mind, this could

mean a “Promotion” for your team-- so pull out all the stops! The

following items should be on your proposal to be faxed to the Cancer

Research Center:

**Sketches of the various sizes of the two pills/capsules you recommend

with labels

**Dosage each pill/capsule will hold--showing work/calculations

Note: Keep within limitations of your company molds sizes!

**A paragraph stating why the company should use at least one of your

pill/capsules to administer to their patients.

11.

__Note__: Your team could go to the following websites to see how yourcalculations compare to the computers calculations:

Website where computer calculates volume of a cylinder

Website where computer calculates volume of a cone

Website where computer calculates volume of a sphere

12. After your team has solved the above task, each of you will go to your math

journal and start a new entry. Individually, each of you will revisit the

questions you answered at the beginning of this task. Answer the questions

again by applying the information you gained from solving the above task and

give to your teacher.