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Hit the Slopes

This educational module, led by Brett Solberg and Sarah Schneider, guides students through the process of deriving a formula to accurately determine the slope of a line. Students will categorize various hills based on a rating system, exploring how steepness is assessed and compared. Key activities include identifying the steepest lines, measuring steepness, and applying the derived formula to real-life examples. By the end of this lesson, learners will understand the fundamental concepts of slope, rise, and run, enhancing their analytical skills in geometry.

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Hit the Slopes

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Presentation Transcript

  1. Hit the Slopes Brett Solberg Sarah Schneider Ralph Davis

  2. Objective Students will be able to derive an accurate formula for finding the slope of a line.

  3. Rating Easy Moderate Steep Vertical

  4. Sort and Categorize • Categorize the 6 hills according to our rating system. • How do you determine which hill goes in which category? • How do you determine steepness?

  5. Steepness • Which of these lines is steepest? • What do they have in common? • What are their differences? • Can you measure the steepness of each line?

  6. Steepness • Which of these lines is steepest? • What do they have in common? • What are their differences? • Can you measure the steepness of each line?

  7. Formula • How did you determine steepness? • What problems did you find?

  8. Test • Test out your formula on these lines.

  9. Formula • Did your formula hold? • What problems did you find?

  10. Slope • The slope is defined as the ratio of the "rise" divided by the "run" between two points on a line, or in other words, the ratio of the altitude change to the horizontal distance between any two points on the line.

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