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In this lesson, students use a 10 x 10 grid to solve various types of percent problems. The grid model offers a means of visualizing the given information as well as suggesting different approaches to solving problems.
In this lesson, students use a 10 x 10 grid to solve various types of percent problems. The grid model offers a means of visualizing the given information as well as suggesting different approaches to solving problems. Students begin with representing simple percents on the grid and then move to percents less than 1 and greater than 100. Solutions to the three standard kinds of percent problems are illustrated, as well as problems involving percent increase and percent decrease. A reproducible grid sheet is provided and several Internet extensions are included. This lesson plan was adapted from an article that appeared in the April 1994 issue of Mathematics Teaching in the Middle School. (author/sw)
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This site can be used teachers in a variety of career fields. The 10 x 10 grid allows students to visualize, comprehend, and solve percent problems.
This site can be used teachers in a variety of career fields. The 10 x 10 grid allows students to visualize, comprehend, and solve percent problems. Of particular interest are the problems that illustrate a decimal part of a percent or percents greater than 100%. This site is especially useful when teaching career-technical students because percentages are applied in many career fields. Teachers can use this lesson to illustrate percentages of products produced, sold, or returned. Percentage of sales, taxes, or cost can also be shown to students. The lesson is best presented as an introduction to percent, but can also be used as a review. (author/dm)
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| Mathematics Academic Content Standards |
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| Number, Number Sense and Operations Standard |  |
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| Benchmarks (5 - 7) |
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| C. | Develop meaning for percents, including percents greater than 100 and less than 1. |
| D. | Use models and pictures to relate concepts of ratio, proportion and percent. |
| I. | Use a variety of strategies, including proportional reasoning, to estimate, compute, solve and explain solutions to problems involving integers, fractions, decimals and percents. |
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| Benchmarks (8 - 10) |
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| G. | Estimate, compute and solve problems involving real numbers, including ratio, proportion and percent, and explain solutions. |
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| Grade Level Indicators (Grade 5) |
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| 1. | Use models and visual representation to develop the concept of ratio as part-to-part and part-to-whole, and the concept of percent as part-to-whole. |
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| Grade Level Indicators (Grade 6) |
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| 4. | Describe what it means to find a specific percent of a number, using real-life examples. |
| 5. | Use models and pictures to relate concepts of ratio, proportion and percent, including percents less than 1 and greater than 100. |
| 14. | Use proportional reasoning, ratios and percents to represent problem situations and determine the reasonableness of solutions. |
| 15. | Determine the percent of a number and solve related problems; e.g., find the percent markdown if the original price was $140, and the sale price is $100. |
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| Grade Level Indicators (Grade 7) |
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| 7. | Solve problems using the appropriate form of a rational number (fraction, decimal or percent). |
| 8. | Develop and analyze algorithms for computing with percents and integers, and demonstrate fluency in their use. |
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| Grade Level Indicators (Grade 8) |
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| 6. | Estimate, compute and solve problems involving rational numbers, including ratio, proportion and percent, and judge the reasonableness of solutions. |
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| Mathematical Processes Standard |  |
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| Benchmarks (5 - 7) |
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| H. | Use representations to organize and communicate mathematical thinking and problem solutions. |
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| Principles and Standards for School Mathematics |
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| Number and Operations Standard |  |
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| Understand numbers, ways of representing numbers, relationships among numbers, and number systems |
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| Expectations (6 - 8) |
| work flexibly with fractions, decimals, and percents to solve problems; |
| develop meaning for percents greater than 100 and less than 1; |
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| Representation Standard |  |
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| Use representations to model and interpret physical, social, and mathematical phenomena |
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| RESOURCE TYPE |
| Instructional Resource |
| PRACTICE LEVEL |
| Best Practice |
| STANDARDS ALIGNMENT |
| Grades 5 - 8 |
| CAREER FIELDS |
Education & Training; Finance; Marketing; General Career Skills |
| TOPICS |
Mathematics -- Numbers and Operations; Percents; Representation |
| FOUND IN |
| Standards First |
| KEYWORDS |
percent increase; percent decrease |
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Author: Albert Bennett & Ted Nelson Publisher: National Council of Teachers of Mathematics
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