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In the Propulsion Department students learn about different types of airplane engines, which provide the thrust necessary for flight. Piston engiens driving propellers and turbine engines (jets, turbofans and turboprops) are covered, with simple animations showing the inside of these engines. Students practice using various formulas to calculate fuel consumption, speed, time and distance and fuel costs of a flight.
This purpose of this outline is to help you navigate to specific parts of the lesson without having to go through every page. The section titles link to the first pages of that section, and the numbers in parentheses refer to the page number where that section starts.
At the end of this lesson, students will:
30-40 minutes depending on student's reading ability.
Standard 1: Mathematics as Problem Solving
- Use problem solving approaches to investigate and understand mathematical content.
- Verify and interpret given results and generalize solutions and strategies to a new problem.
- Students gain confidence using math meaningfully.
Standard 2: Mathematics as Communication
- Interpret and evaluate mathematical ideas presented in written and visual forms.
- Discuss mathematical ideas and make convincing arguments.
Standard 3: Mathematics as Reasoning
- Understand and apply reasoning with graphs.
- Make and evaluate mathematical arguments.
- Apply deductive and inductive reasoning.
Standard 4: Mathematical Connections
- Explore problems and describe results using graphical, physical and verbal math models.
- Apply mathematics to solve problems in science.
- Recognize the value of math in an applied technical situation
Standard 5: Number and Number Relationships
- Represent numerical relationships in 2-dimensional graphs.
- Develop number sense for decimals, fractions, and integers.
- Understand, represnt, and use numbers in decimal, fraction, and integer form in real-world problem situations.
Standard 6: Number Systems and Number Theory
- Understand and appreciate the need for numbers beyond the whole numbers.
- Understand how the basic arithmetic operations are related to one another.
Standard 7: Computation and Estimation
- Compute with whole numbers and decimals.
- Select and use an appropriate method for computing.
- Use computation to solve problems.
Standard 8: Patterns and Functions
- Describe and analyze a variety of patterns.
- Describe and represent relationships with graphs and rules.
- Analyze functional relations ihips to explain how a change in one quantity results in a change in another.
- Use patterns and functions to represent and solve patterns.
Standard 9: Algebra
- Understand the concept of equation and formula.
- Represent situations and number patterns with tables, graphs, verbal rules and explore the interrelationships of these representations.
- Analyze tables and graphs to identify relationships.
- Investigate nonlinear equations informally.
- Apply algebraic methods tools to solve real world and mathematical problems.
Standard 10: Statistics
- Describe data.
- Read and interpret tables and graphs.
Standard 13: Measurement
- Understanding the selection of particular units for different values.
Vocabulary words are linked to the activity pages on which they're defined.
For helping with calculations:
For the hands-on activity for propellers:
For the hands-on activity for the turbine engine:
This lesson can be completed individually but will move faster and be more fun if two or more people work together. The lesson can be done in under an hour if the students are good readers. Pair up students if someone is unable to hold or manipulate objects. Students who are unable to write can provide verbal input on project or make choices during activity. Math software such as MathPad can be used by students who are unable to write and need to do math calculations.
1. Investigate other applications of the speed, distance and time formula. Have students create their own problems based on this formula, using examples from flying, driving, and walking.
2. Look at fuel economy and consumption information for different types of vehicles, and have students calculate the operating costs of these vehicles. Are less expensive cars always cheaper over the long run than more expensive cars? What's the difference in fuel consumption between cars, motorcycles, boats, and airplanes?
Do you have ideas for other activities to use with this activity? Send your suggestions to us at firstname.lastname@example.org.
The interactive Shockwave portions of this activity, such as the wind tunnel, are accessible through both the keyboard and the mouse. Students can use the spacebar to cycle through all the entry options on the screen, which will be highlighted by a small yellow bar next to the option. Students then use the up or down arrows to change an option, or press Return or Enter to select a button.
All the pages maintain a consistent grid of 6 buttons along the bottom of the page, which should be accessible through a ClickIt! overlay for IntelliKeys. For more information on using assistive technology, please refer to the document "Making PlaneMath Accessible" on the main PlaneMath parent/teacher page.
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