POPCORN ANYONE I

SECTION A-warming up activity

For this activity you will be comparing the volume of 2 cylinders created using the same sheet ofpaper. You will be determining which dimension can hold more popcorn. To do this, you will'have to find a pattern for the dimensions for oontainers.

Materials:

S.5xilin.whitepaper,8.5xllin.coloredpaper,Tape,Popcorn,Plate,Cup,Ruler

1. Take the white paper and roll it up along the longest side to form a baseless cylinder that istall and narrow. Do not overlap the sides. Tape along the edges. Measure the dimensionswith a ruler and record your data below and on the cylinder. Label it Cylinder A.

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Take the colored paper and roll it up along the shorter side to form a baseless cylinder thatis short and stout. Do not overlap the sides. Tape along the edge. Measure the height anddiameter with a ruler and record your data below and on the cylinder. Label it Cylinder B.

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TASK 2

DIMENSION CYLINDER A CYLINDERB

HEIGHTDIAMETER

RADIUS

2. Do you think the two cylinders will hold the same amount?

Do you think one will hold more than the other? which one? why?

3l place Cylinder B on the paper plate with Cylinder A inside it. Use your cup to pour popcorn

into Cylinder A until it is ful1. Carefully, lift Cylindel + to that the popcorn falls into

cylinder B. Describe whathappened. Is cylinder B full, not full, or overflowing?

As you share your popcorn snack, answer the questions below.

4, a) Was your predict'ion correct? How do you know?

b) If your prediction was incorrect, describe what actually happened.

5. a) State the formula for finding the volume of a cylinder'

b) Calculate the volume of Cylinder A?

c) Calculate the voiume of Cylinder B?

ffisame amount Use the formula for the

d) Explain why the cylinders do or do not hold the

uoi r*" of a cylinder to guide your explanation'

o. whlch measurement impacts the volume more: the radius or the height? Work through theexample below to help you answer the question.

Assume that you have a cylinder with a radius of 3 inches and a height of 10 inches.Increase the radius by I inch and determine the new volume. Then using the originalradius, increase the height by I inch and determine the new volume

CYLINDER RADIUS HEIGHT VOLUMEORIGINAL a

J 10INCREASED RADIUSTNCREASED HEIGHT

Which increased dimension had a larger impact on the volume of the cylinder? Why do youthink this is true?

SECTION B

If vol were buying popcorn at the movie theater and wanted the most popcorn, what type ofcontainer would you look for?

Clue: You need more than one type of containers.

You are given 300 cm2 of thin sheet material. Explain the details.

Have a thought about :

- i' You are the popcorns seller, what type of container would you look for?ii' You are the producer of the containers, what type of container would you choose tohave the most profit?

Name :

Rubric for Additional Mathematics Proiect Work 20I"2Task 2

X'orm : 5 ..............

A. Report PresentationMarks

4 3 2 1

*General Aspect/ Introduction

Appropriate title.Contents page.

Background information / history

Moral / aesthetical values.

B. Task Snecification / Proposal

f(

Specify the Task /De{ine Problem

Presentation about the taskIdeas _Flow ChartData Collection / Findine lnformation

C. Problem-Solving Process

Procedure

*Apply as many methods as Possible

*Concise and efficient communication usingGraphical Illustration / Graphs / Drawings /Tables / Symbols*The Use of Technology - calculator,softwares" internet, apparatus,etc

o

Conelusion /Generalization

tr

Discussion - Pro / Con I Consequence

./ SussestionsTotal score

Marks Grade2t -24t7 -2013-167 -12

ABcD

Notes for * :Any 4Any 3Any 2I only

- l matks

- 3 marks

- 2 marks

- I marks