Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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## Mathematical Problem-Solving Examples ### 6. Subtraction Strategy To solve 512 - 146, a student writes the following: ``` 512 400 - 146 - 30 - 4 370 512 - 146 = 366 - 30 - 4 400 366 ``` **Task:** Describe the student's solution strategy and discuss why the strategy makes sense. Expanded forms may be helpful to your discussion. ### 7. Height Comparison Problem **Problem:** Matteo is 4 feet 3 inches tall. Nico is 3 feet 11 inches tall. How much taller is Matteo than Nico? Sarah solved this problem as follows: ``` 3 13 4 ft 3 in - 3 ft 11 in ------------- 2 in ``` **Task:** Sarah gave 2 inches as the answer. Is Sarah correct? If not, explain what is wrong with her method, and show how to modify her method of regrouping to make it correct. (Do not start from scratch.) ### 8. Liquid Volume Problem **Problem:** A container holds 2 quarts and 4 fluid ounces. The container is now filled with 6 fluid ounces of liquid. How much liquid must be added to the container to make it full? John solved this problem as follows: ``` 1 14 2 q 4 fl oz - 6 fl oz -------------- 1 q 8 fl oz ``` **Solution:** John gave 1 quart and 8 fluid ounces as the answer.
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Transcribed Image Text:## Mathematical Problem-Solving Examples ### 6. Subtraction Strategy To solve 512 - 146, a student writes the following: ``` 512 400 - 146 - 30 - 4 370 512 - 146 = 366 - 30 - 4 400 366 ``` **Task:** Describe the student's solution strategy and discuss why the strategy makes sense. Expanded forms may be helpful to your discussion. ### 7. Height Comparison Problem **Problem:** Matteo is 4 feet 3 inches tall. Nico is 3 feet 11 inches tall. How much taller is Matteo than Nico? Sarah solved this problem as follows: ``` 3 13 4 ft 3 in - 3 ft 11 in ------------- 2 in ``` **Task:** Sarah gave 2 inches as the answer. Is Sarah correct? If not, explain what is wrong with her method, and show how to modify her method of regrouping to make it correct. (Do not start from scratch.) ### 8. Liquid Volume Problem **Problem:** A container holds 2 quarts and 4 fluid ounces. The container is now filled with 6 fluid ounces of liquid. How much liquid must be added to the container to make it full? John solved this problem as follows: ``` 1 14 2 q 4 fl oz - 6 fl oz -------------- 1 q 8 fl oz ``` **Solution:** John gave 1 quart and 8 fluid ounces as the answer.
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