Mission: Possible

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Mission Possible

• The Golden Ratio of a Lemonade Stand
• A Lesson in Proportions
• By Gary W. Slocum

Click Student Entry Below
Teacher Entry Only!
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Educational Objective andTN Standards

• Educational Objective To help children to use
  the idea of mathematical proportion in real-world
  situations.
• TN Standards
• Solve problems involving scale factors using
  ratios and proportions.
• Select and apply techniques and tools to
  accurately measure length, perimeter, area,
  volume, and angles to appropriate levels of
  precision.
• Understand both metric and customary systems of
  measurement.
• Estimate the results of rational number
  computations in real-world situations.

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NCTM Standard

• NCTMProportionAttention to developing
  flexibility in working with rational numbers
  contributes to students understanding of, and
  facility with, proportionality. Facility with
  proportionality involves much more than setting
  two ratios equal and solving for a missing term.
  It involves recognizing quantities that are
  related proportionally and using numbers, tables,
  graphs, and equations to think about the
  quantities and their relationship.

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Technology Standards

• Differentiate between appropriate and
  inappropriate uses of technology for teaching and
  learning while using electronic resources to
  design and implement learning activities. (II,
  III, V, VI)
• Identify, select, and use hardware and software
  technology resources specially designed for use
  by PK-12 students to meet specific teaching and
  learning objectives. (I, II)
• Design and teach technology-enriched learning
  activities that connect content standards with
  student technology standards and meet the diverse
  needs of students. (II, III, IV, VI)
• Plan and teach student-centered learning
  activities and lessons in which students apply
  technology tools and resources. (II, III)

CLICK FOR CREDITS
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How to Do a Lemonade Stand

• Watch the short video clips below (Click Titles)
• The Lemonade Stand -- This is a video of some
  children who made a lemonade stand.
• Ben and Jerrys Ice Cream -- This shows you a
  business that found a recipe that worked.
• These videos will self-destruct in one minute
  after you are done! ?

Proceed After Watching
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Launch the Mission
Proceed With Mission!
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Your Assignment Since You Choose to Accept It

• OVERVIEW
• Your assignment is to find your golden ratio of
  the amount of water to lemon juice to sweetener
  (Splenda). You will put your personal results at
  the top of the last slide. ALL measurements are
  to be put in teaspoons even if you use cups, etc.
  I have provided a copy of a measure conversion
  table for you here. (Click the word here for a
  copy for your reference.) Later you will convert
  to metric.
• You will use teaspoons to make your measurements
  and taste each time until you find the right
  sourness. Then begin adding sweetener until it
  tastes just right to you.
• You will then be comparing your golden ratio to
  your classmates in a table format.

Proceed With Mission!
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You Will Need

• Sufficient water for the activity
• Lemon and Lime Juice (or concentrate)
• Sugar and Splenda
• ¼ teaspoon, teaspoon, tablespoon, cup measure
• Pencil, graph paper, provided chart, or computer
  access
• Internet access

Copy Here
Proceed With Mission!
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Detailed Procedures

• By taste, add concentrate or lemon juice to ¼ cup
  of water by teaspoon or tablespoon to achieve
  your desired sourness. Be sure to write the
  conversion for the water to teaspoons since you
  started with a ¼ cup! You will be making a table
  in Word or Excel to do this which is provided for
  you at the end of this presentation. Be sure to
  set it up to show the proportion of ingredients
  you are doing.

Proceed With Mission!
View Document
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Detailed Procedures (Continued)

• Now add Splenda or sugar (a teaspoon at a time).
  Do this to suit your taste. Now add a dash of
  lime juice (a ¼ teaspoon at a time). Be sure to
  go by teaspoons in your table.
• Now show how much of each ingredient you would
  use for a full cup of lemonade that you will
  serve to the class based on the ¼ cup with which
  you started. (Careful!)
• Now show how much your group (all) and class will
  be drinking if you assume that ¾ of them (round
  off) will want a cup at break time.

Proceed With Mission!
View Document
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Detailed Procedures (Continued)

• Now assume that your club president
  (cheerleading, chess, computer, etc.) has decided
  that the club will serve lemonade to the student
  body to help raise funds for your field trip to
  Dollywood.
• Make an assumption of how many students are in
  the eighth-grade class that might buy a glass.
  Set a realistic price and amount per glass and
  decide how much lemon juice, lime juice,
  sweetener, and water you will need for the event
  and what the total gallons or cups will be, of
  all dry and liquid measures. Reasonably assume
  the number of the students who will want Splenda
  as they are dieting based on our class
  percentage. If none, make an assumption.

Proceed With Mission!
View Document
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Extensions

• Taste each others lemonade and as a class decide
  whose is the best recipe.
• Your sister school in Japan wants the recipe
  you are using. Since they dont have cups, what
  will you need to do so that they understand how
  to make it? (They use the Metric system.)
• Compare your recipe with the other members of the
  class or other groups if you are working in
  groups and build a proportional table comparing
  the tastes of the class as a whole. (Hint
  this may help you decide how much the student
  body may buy if they like it.) Finish the chart.

Proceed With Mission!
View Document
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Things To Remember

• Use the handout for the price of sugar, Splenda,
  lemons, limes, concentrate.
• Assume that water is basically free.
• Dont forget that you cannot simply multiply, you
  have to maintain proportions. ()

Proceed With Mission!
View Document
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Your Golden Ratio Click the above to
print/enter.You will see a table like the one
below and a section for yourself.
Use Button to Return
End Show
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Internet References

• http//www.lemonflower.com/lemonade_stand/UploadKi
  tsm.gif
• http//www.mandolincafe.net/iB_html/uploads/post-1
  5-41178-lemons.jpg
• http//standards.nctm.org/document/chapter6/index.
  htm
• http//www.tennessee.gov/education/ci/standards/bl
  ueprint/cimablue7.doc
• http//www.unitedstreaming.com/