Measurement and Conversion
MGF2106 (Survey of Mathematics) Project 2: Measurement and Conversion
Purpose: Work individually or as a group to solve problems and answer questions related to measurement and unit conversion. In this project you will be asked to work on measurement and unit conversion within the context of baking and the medical field.
Instructions: Complete the project, compiling the various parts into a single document which is submitted to the Assignments link in Falcon Online. The Discussion Board in Falcon Online may be used to find classmates for working as a group. Even if you work as a group, each student must submit an individual project to the Assignments link in Falcon Online by the posted due date.
Format for Project Document Submitted to the Assignments Link:
1. The submission must be a single document formatted as .docx, .doc, .rtf, or .pdf. 2. The submission must be typed. Please check with your instructor if you have
questions about the format of the document.
3. Put your name on the document. If you worked in a group, also list the names of
the other students in the group.
4. Do not type the questions into your project. Just give the answers. Answers
obtained with calculations should include the basic process (work) used to obtain the
answer.
5. Follow the numbering system used in the project when typing your answers.
Part 1: Baking
Use the recipe below to answer the questions. fractions, whole numbers, or mixed numbers.
Two-Layer Old Fashioned Pound Cake
2 cups of cake flour
1 1⁄2 cups of granulated sugar 3 teaspoons of baking soda
1 teaspoon of salt
3⁄4 cup of butter, cut into bits
1 Tablespoon of vegetable oil 1 cup of all-purpose flour
6 eggs
1 cup of whole milk
2 teaspoons of vanilla flavoring
Write the answers as properly reduced
Directions
Preheat oven to 350F
Mix all ingredients together, mixing on medium speed for at least 10 minutes until smooth. Pour into lightly greased cake pans (2 layer pans)
Bake for 1 hour
Cool on wire rack for 1 hour.
MGF2106 Project 2B 1
1. a. List the ingredients that are measured with a teaspoon and the amount of each.
b. Add these amounts to obtain the total number of teaspoons of ingredients needed.
2. List the ingredients that are measured with tablespoons and the amount of each.
3. a. If 1 tablespoon equals 3 teaspoons, convert your answer from #1.b. to tablespoons. b. Use the answers from #2 and #3.a. to find the total number of tablespoons of ingredients needed for the pound cake.
4. If 16 tablespoons equals 1 cup, convert the total tablespoons of ingredients from #3.b. to cups.
5. List the remaining ingredients (those not already accounted for) and their quantities measured in cups. Note that 1 egg equals 1/4 cup.
6. How many total cups of ingredients are needed for this recipe? (Hint: use #4 and #5)
7. The above recipe will make a two-layer cake. List each ingredient and the amount needed to make a one-layer cake.
8. If there are approximately 18 1/3 cups of flour in a 5-pound bag of cake flour, how many Two-Layer Old Fashioned Pound Cakes could you make from a 5-pound bag of cake flour? The answer should be a whole number.
9. If each item can be purchased in the following amounts, how many of each ingredient would you have to purchase to make six Two-Layer Old Fashioned Pound Cakes? (Note you cannot purchase partial packages; you do not need to find the cost of the ingredients.) List each ingredient and the quantity needed.
MGF2106 Project 2B
2
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Cake Flour: 5-pound bag (18 1/3 cups in 5-pound bag), $4.28
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Sugar: 1-pound bag, $1.26 (Note that 1 pound equals 2 1/4 cups)
-
Baking Soda: 16-ounce box, $0.67 (Note that 7-ounces equals 1 1/4 cups
which equals 60 teaspoons)
-
Salt: 16-ounce container, $1.09 (Note that 1 ounce is approximately 5
teaspoons)
-
Butter: 1-pound, $2.99 (Note that 1 pound equals 2 cups of butter)
-
Vegetable Oil: 8-ounces, $2.98 (Note that 1 ounce equals 2 tablespoons)
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All-purpose flour: 5-pound bag (18 1/3 cups in 5-pound bag), $1.29
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Eggs: 12 eggs, $1.99 or 18 eggs, $2.59
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Milk: 1-pint, $1.09 or 1-quart, $1.55 (Note that 1 pint equals 2 cups and
2 pints equals 1 quart)
-
Vanilla: 4 ounces, $4.37 (Note that 1 ounce equals 6 teaspoons)
Part 2: Converting within the Metric System
You have been hired as the new Lab Manager for your local hospital. As manager you must ensure that the doctors have all the medications they require and in the correct dosages. You are in charge of the following drugs/medications: Losartan, Atenolol, Metformin, Hydrochlorothiazide, Protocol A, and Protocol B.
On the first day at your new job you are given the supply list for the medications that you will work with. On this list is the quantity of the supplies on hand. Your new supervisor wants you to convert the amounts of each drug into different units, as listed in the table below. Use unit conversion to find the quantity of each drug in the new units. Include the steps used to obtain the new units in the project document. Express the amounts in standard form (not scientific notation) and use commas for large numbers, as shown in the table below.
|
Drug |
Original Quantity and Units |
New Quantity and Units (Find the Quantity for the new units.) |
|
Losartan |
6000 dekagrams |
10. centigrams |
|
Atenolol |
25,000 milligrams |
11. decigrams |
|
Metformin |
4500 kilograms |
12. dekagrams |
|
Hydrochlorothiazide |
38,000 decigrams |
13. kilograms |
|
Protocol A |
9500 deciliters |
14. milliliters |
|
Protocol B |
850 kiloliters |
15. centiliters |
Follow up questions:
16. The range of doses for Losartan per day is 75 – 125 milligrams. What would be the corresponding range for doses using micrograms?
17. The hospital wants to prepare for an emergency by keeping track of how many 100 milligram doses of Losartan are available. Find the number of doses on hand.
Part 3: Impact Question
18. Provide an example, or examples, of how measurement and unit conversion could be applied in life or future career choices other than in cooking or medicine. Use at least 3-4 sentences to completely explain the example. Feel free to use the internet to find an example.
