HONEY, I BLEW UP/SHRUNK THE CANDY BAR!
February 2010 MLSN
Objective: Find the scale factor between a regular candy bar and an enlarged/shrunk candy bar.
Materials:
Regular size Hershey candy bar (measure the top of the bar with the wrapper pulled tight)
Additional size Hershey candy bars
Rulers
Calculators
Directions:
1. Find the dimensions of the “original” (we’ll call it the traditional size) size candy bar (length, width, and height). (Do not unwrap.)
2. Record your results in the table below.
3. Choose one of the other Hershey bars and find its measurements.
4. Record the new candy bar’s dimensions in the “Different Sized Bar” column.
5. Are the two candy bars proportional?
If so, calculate the scale factor between the two candy bars.
If not, create measurements for a candy bar that would be proportional, and find the scale factor.
Candy-Bar Dimensions
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Original Size Bar |
Different Sized Bar |
Created Candy Bar Sizes (if necessary) |
Scale Factor |
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Length |
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Width |
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Height |
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D irections:
1. Calculate the Volume of the “original” (we’ll call it the traditional size) size candy bar.
2. Choose one of the other Hershey bars and find its Volume.
3. Record the new candy bar’s Volume in the “Different Sized” column.
4. Are the two candy bars proportional based on Perimeter?
If so, calculate the scale factor between the two candy bars.
If not, create a Perimeter for a candy bar that would be proportional, and find the scale factor.
Determine the Area of the Candy bar.
Predict how the Area’s are related to the scale factor.
C andy-Bar Perimeter & Area
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Original Size |
Different Sized Bar |
Created Candy Bar (if necessary) |
Scale Factor |
Volume |
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Perimeter |
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Area |
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(Part 2)
Objective: Find the scale factor of the nutritional values between a regular candy bar and
a proportional candy bar you found or created.
Materials:
Regular size Hershey candy bar (measure the top of the bar with the wrapper pulled tight)
Graph paper or isometric dot paper
Calculators
Protractor
Rulers
Directions:
1. Copy the nutritional information from your original candy bar to the table below in the
“Original Size” column.
2. Calculate the nutritional values of your enlarged candy bar in direct proportion to the
original candy bar and record below.
3. Draw a three dimensional diagram of your candy bar on graph paper. Remember to
label the dimensions.
Candy Bar Information |
Original Size |
Scale Factor |
Enlarged Size
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Calories |
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Total Fat |
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Cholesterol |
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Sodium |
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Total Carbohydrates |
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Protein |
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Extension: Create a three dimensional model of the enlarged candy bar using only the
building materials given and write the proportional nutritional values on it. If you have to
convert the size to “fit” the building material, remember to keep it proportional to the original
candy bar.
Activity Scoring Guide
A 4-point response represents an effective solution that meets all relevant criteria: +shows complete understanding of scale factor +consistently and correctly uses measurement skills +shows logical reasoning and valid conversions +communicates effectively and clearly using words, numbers, and pictures +includes correct computations |
A 3-point response shows a mostly effective solution/approach and meets most relevant criteria. +shows general understanding of scale factor +correctly uses measurement skills, but not necessarily consistently +communicates adequately through writing and diagrams +reaches reasonable conclusions +may have missing, incorrect or incomplete computation +may neglect some aspect of the task |
A 2-point response meets some relevant criteria but shows gaps in understanding and execution: +shows partial understanding of the concept or task +shows partial understanding of relevant mathematical procedures +uses some applicable information and procedures +uses unclear communication in writing and diagrams |
A 1-point response meets few relevant criteria but shows some effort beyond restating the task or copying the given data: +shows little understanding of the concept or task +shows little understanding of relevant mathematical procedures +fails to use applicable information or most aspects of the task +lacks communication or is difficult to follow |
A 0-point response means no attempt beyond restating or copying given data. |
-from http://www.okea.org/otimms/lessonplans/weatherford/8gradeWeatherfordHONEYIblewupthecandybar.pdf
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Tags: candy bar!, original candy, honey, february, candy, upshrunk