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Organizing Problem-Solving Data with Charts

In this discussion, we explore effective methods to stay organized while tackling problem-solving tasks involving data analysis. The objective is to learn how to use charts to organize facts about various mathematical problems. With examples such as determining the dimensions of rolls of carpet and calories in fruits, we provide clarity on translating verbal information into structured charts. Students will practice organizing key information and formulating equations to solve problems, reinforcing their understanding of relationships between different quantities.

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Organizing Problem-Solving Data with Charts

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Presentation Transcript

  1. Organization… • Discussion: how do you stay organized??

  2. 3.6 Problem Solving Charts • Objective: To organize the facts of a problem in a chart. Basically, charts help to organize facts!

  3. Example 1 • Organize the following information using a chart: a roll of carpet 9 ft wide is 20 ft longer than a roll of carpet 12 ft wide.

  4. Example 1 • Organize the following information using a chart: a roll of carpet 9 ft wide is 20 ft longer than a roll of carpet 12 ft wide.

  5. Example 1 • Organize the following information using a chart: a roll of carpet 9 ft wide is 20 ft longer than a roll of carpet 12 ft wide.

  6. Alternate Representation for Ex 1  Direct Translation

  7. Alternate Representation for Ex 1  Direct Translation Alternate Translation 

  8. Example 2 • Find the number of calories in an apple and in a pear. A pear contains 30 cal. more than an apple. Ten apples have as many calories as 7 pears. • Organize the following information using a chart and answer the question: Equation: Cal ∙ # = Total

  9. Example 2 • Find the number of calories in an apple and in a pear. A pear contains 30 cal. more than an apple. Ten apples have as many calories as 7 pears. • Organize the following information using a chart and answer the question: Equation: Cal ∙ # = Total

  10. Example 2 • Find the number of calories in an apple and in a pear. A pear contains 30 cal. more than an apple. Ten apples have as many calories as 7 pears. • Organize the following information using a chart and answer the question: Equation: Cal ∙ # = Total

  11. Example 2 • Find the number of calories in an apple and in a pear. A pear contains 30 cal. more than an apple. Ten apples have as many calories as 7 pears. • Organize the following information using a chart and answer the question: Equation: Cal ∙ # = Total

  12. Example 2 Represent Data with Chart Answer Question: How many calories in apple? How many in a pear? 10A = 7(30 + A) 10A = 210 + 7A 3A = 210  Apples = 70  Pears = 70 + 30 = 100

  13. Section 3.6 Homework • Page 122. Problems: 1 – 4 & 6 – 14 even • Be sure to state your conclusion and show a check!

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