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Lesson six
Terminal Objective
Use dimensional analysis to convert money
from US dollars to foreign currency or
foreign currency to US dollars.
Money Conversion
content standard reference: grade 7 Measurement and geometry 7.1.3 – Use measures expressed as rates and measures expressed as person-days to solve problems; check the units of the solutions; and use dimensional analysis to check the reasonableness of the answer. Materials
- Money Conversion PowerPoint
- Money Conversion Worksheet
- White board time required 1 class Money conversIon | 61
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Introduction of Lesson
Anticipatory Set:
Ask students: How many dimes are in a ten dollar bill? They are converting dollars to dimes.
Student Objective:
Students will be able to use dimensional analysis to convert money from US dollars to a foreign currency and foreign currency to US dollars.
Purpose:
When students travel to other countries, they must use the currency of that country. The Port of Long Beach is a major international seaport. It is important for Port employees to understand how to convert foreign currencies.
Lesson
Input
Dimensional analysis is using unit analysis to help make conversions from one unit to another. Review the five steps for dimensional analysis.
Modeling
- Read the situation. Identify the original units.
- Write the original units as a fraction.
- Decide what is the conversion factor for the new unit.
- Be sure to set up the problem so the original units will divide out.
- Simplify the expression and divide out the common units.
Check for Understanding
Have students work with a partner to make sure they have the five steps written correctly in their notes. Keyword
- dimensional analysis - using unit analysis to help make conversions from one unit to another. 62 | Money conversIon
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Lesson cont’d
Answer : 10 pounds. 2.04 dollars = 20.4 dollars 1 1 pound
Input
A ship from China is coming to the Port of Long Beach. The captain of the ship has 2,500 yuan. How many US dollars does he have?
Modeling
The conversion rate is 1 yuan = 0.1321 dollars Set up the expression using the five steps.
Check for Understanding
Have students put their expressions on white boards. On the count of three, check the expressions. 2,500 yuan. 1321 dollars = 300.25 dollars 1 1 yuan Have students work with a partner or in their group. Explain how to change foreign currency to U.S. dollars. Call on one group to explain the process. Answer : Write an expression using dimensional analysis to eliminate the original units.
Input
Now let’s change U.S. dollars to foreign currency. Ten dollars is how many euros? Look at the conversion chart on the Money Conversion Worksheet. A Country B Money C One dollar in Foreign currency D Foreign Currency in one dollar Britain Pound $1 = 0.49 pound 1 pound = $2. France Euro $1 = 0.73 euro 1 euro = $1. Mexico Peso $1 = 10.78 pesos 1 peso = $0. 64 | Money conversIon
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Lesson cont’d
Modeling
See Money Conversion Worksheet for the chart. Students should decide which column they will use to find the conversion factor. The original unit is dollars so they will be using column C.
Check for Understanding
Have students use
- one finger for A
- two fingers for B
- three fingers for C
- four fingers for D A Country B Money C One dollar in Foreign currency D Foreign Currency in one dollar Britain Pound $1 = 0.49 pound 1 pound = $2. France Euro $1 = 0.73 euro 1 euro = $1. Mexico Peso $1 = 10.78 pesos 1 peso = $0. Question: Convert ten dollars to euros. One dollar = 0.73 Euros Write the expression: 10 dollars. .73 euros 1 1 dollars Answer:
7. 30 euros
1 dollar
0. 73 euros
10 dollars
Input
Students work alone for five minutes doing the problems independently. Then students will work in small groups to compare their answers. Select two groups to share out how they set up the problems. Money conversIon | 65
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1. 5 dollars = _______ pounds
2. 10 dollars = ______ euros
3. 50 dollars = ______ pesos
4. 150 dollars = _______ Yuan
5. 1000 dollars = _______ yens
6. 5000 yen = ______ dollars
7. 650 Yuan = ______ dollars
8. 850 euros = ______ dollars
9. 700 pounds = ______ dollars
10. 500 pesos = ______ dollars
Lesson six
Directions
Use the conversion chart to complete the problems. Be careful to use
the correct column.
Country Money One US Dollar in Foreign Currency Foreign Currency in One US Dollar Britain Pound 0.49 2. France Euro 0.73 1. Mexico Pesos 10.78 0. China Yuan 7.57 0. Japan Yen 121.82 0. The Port of Long Beach charges ships for the time they are at the berth being loaded and unloaded. The length of the vessel determines the daily charge. A ship that is 200 meters long must pay $2882 per day.
- If the ship is from China, how many Yuan would the company pay for each day?
- If the ship is from France, how many euros would the company pay for each day?
Money Conversion
Worksheet
Money conversIon | 67
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