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ICLE Standards:
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Mathematics as Problem Solving: Acquire
confidence in using mathematics meaningfully.
Mathematical Reasoning: Make and evaluate
mathematical conjectures and arguments.
Computation: Compute with whole numbers and
decimals
Geometry: Represent and solve problems using
geometric models.
Measurement: Extend understanding of the concept of surface area.
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Performance Task:
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You are to work with one other student on this
task. Pretend that you are manufacturers of Blueberry Muffin Mix. As a manufacturer and citizen, you are interested in both
profit and protection of the environment. You are considering marketing your muffin mix in small and
large packages. The dimensions of the boxes and number of muffins per box are given below.
How much more or less material does it take to make three small boxes of
Blueberry Muffin Mix to equal one large box? Show how you arrived at your answer. What impact, if any, do
you think the sale of different sized boxes would have on the amount of solid waste produced? Explain your
thinking.
You and your partner have done a survey to determine potential sales. You
have arrived at the following conclusions:
- If only the large box is available, you will sell 250,000 boxes per
month.
- If only the small box is available, you will sell 550,000 boxes per
month.
- If both sized boxes are available, you will sell 150,000 large boxes and
250,000 small boxes each month.
If you want to produce the least amount of solid waste material, which of
the three options above would you choose?
You anticipate that the large boxes will make you a net profit of $ 0.38
per box, and the small boxes will make you a net profit of $ 0.15 per box. If you wish to maximize your
profit, which option would you choose.
As a manufacturer, you are, of course, interested in maximizing your
profit. As a citizen, you are, however, also interested in minimizing the solid waste material that your company is
producing. Considering both of these factors, which option would you choose to manufacturer? Explain
your choice.
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Knowledge / Skills:
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Perform operations with signed (positive and
negative) numbers, including decimals, ratios, percents, and
fractions. (m1)
Understand the use of variables in expressions such as 4x, x+2, and 2x-1, solve for the variable, and know how to represent expressions such as "twice the number" or "four more than the number" using variables. (m7)
Compute the perimeter and area of two-dimensional figures. (m13)
Know the classification and properties of solid figures such as prisms, rectangular solids, pyramids, right circular cylinders, cones, and spheres. (m29)
Use the technique of dimensional analysis to convert units of measure (e.g., convert km/hr to m/min). (m33)
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