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This lesson will be most appealing to students who are learning to drive a car. In this lesson, students consider the costs of owning a car and ways to lessen those costs.
This lesson will be most appealing to students who are learning to drive a car. In this lesson, students consider the costs of owning a car and ways to lessen those costs. In particular, highway and city mileage are considered, and optimal mileage is calculated using fuel consumption versus speed data. An overhead, links to outside resources, questions for students, suggestions for assessment, extensions of the lesson, and prompts for teacher reflection are included. (author/sw)
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| Mathematics Academic Content Standards |
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| Number, Number Sense and Operations Standard |  |
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| Benchmarks (11 - 12) |
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| D. | Demonstrate fluency in operations with real numbers, vectors and matrices, using mental computation or paper and pencil calculations for simple cases and technology for more complicated cases. |
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| Patterns, Functions and Algebra Standard | |
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| Benchmarks (8 - 10) |
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| D. | Use algebraic representations, such as tables, graphs, expressions, functions and inequalities, to model and solve problem situations. |
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| Grade Level Indicators (Grade 9) |
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| 3. | Describe problem situations (linear, quadratic and exponential) by using tabular, graphical and symbolic representations. |
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| Grade Level Indicators (Grade 10) |
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| 10. | Solve real-world problems that can be modeled using linear, quadratic, exponential or square root functions. |
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| Data Analysis and Probability Standard | |
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| Grade Level Indicators (Grade 11) |
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| 4. | Create a scatterplot of bivariate data, identify trends, and find a function to model the data. |
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| Principles and Standards for School Mathematics |
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| Number and Operations Standard | |
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| Compute fluently and make reasonable estimates |
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| Expectations (9 - 12) |
| develop fluency in operations with real numbers, vectors, and matrices, using mental computation or paper-and-pencil calculations for simple cases and technology for more-complicated cases. |
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| Algebra Standard | |
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| Use mathematical models to represent and understand quantitative relationships |
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| Expectations (9 - 12) |
| identify essential quantitative relationships in a situation and determine the class or classes of functions that might model the relationships; |
| draw reasonable conclusions about a situation being modeled. |
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| Data Analysis and Probability Standard | |
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| Select and use appropriate statistical methods to analyze data |
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| Expectations (9 - 12) |
| for bivariate measurement data, be able to display a scatterplot, describe its shape, and determine regression coefficients, regression equations, and correlation coefficients using technological tools; |
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| RESOURCE TYPE |
| Instructional Resource |
| PRACTICE LEVEL |
| Promising Practice |
| STANDARDS ALIGNMENT |
| Grades 9 - 12 |
| TOPICS |
Mathematics --
Algebra;
Nonlinear functions;
Connections, applications;
Numbers and Operations;
Technology |
| KEYWORDS |
Internet;
gas mileage;
Web resources |
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Author: Elizabeth Marquez
Publisher: National Council of Teachers of Mathematics
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