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Explore Slope and Rate of Change Practice

Enhance your understanding of slope and rate of change through practical exercises. Learn how to find slope from tables and graphs using point coordinates. Practice independently to strengthen your skills.

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Explore Slope and Rate of Change Practice

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  1. Extra practice with SLOPE and RATE OF CHANGE!

  2. RATE OF CHANGE How is this related to Slope? Things to Remember: Rate of change = Change in Dependent Variable Change in Independent Variable SLOPE = Change in Y values Change in X values

  3. This is the same table without the real-world data. How is it similar to our tables used to calculate SLOPE? Let’s find Rate of Change or Slope from a TABLE!

  4. Choose two points, any two points. Write the chosen points as coordinate pairs. Identify the x1, x2, y1, y2. Substitute the values into the slope formula. Perform the subtractions. Reduce if necessary. Let’s find Rate of Change (Slope) from a TABLE!

  5. Choose two points, any two points. Write the chosen points as coordinate pairs. Let’s find Rate of Change (Slope) from a TABLE! (2, 75) (4, 105)

  6. Identify the x1, x2, y1, y2. X1 Y1 X2 Y2 (2, 75) (4, 105) Let’s find Rate of Change (Slope) from a TABLE! y2 – y1 x2 – x1 105 – 75 4 - 2 m = = Substitute the values into the slope formula. Perform the subtractions. Reduce if necessary. 30 2 = = 15

  7. That wasn’t too bad!Now Your Turn!!

  8. Choose two points, any two points. Write the chosen points as coordinate pairs. Identify the x1, x2, y1, y2. Substitute the values into the slope formula. Perform the subtractions. Reduce if necessary.

  9. (4, 7) (7, 16) ( x1, y1) ( x2, y2) m = 16 – 7 = 9 = 3 7 - 4 3

  10. Brain Break!!

  11. Let’s find Rate of Change or Slope from a GRAPH! Choose two points, two points that lay on a grid line. Write the chosen points as coordinate pairs. Identify the x1, x2, y1, y2. Substitute the values into the slope formula. Perform the subtractions. Reduce if necessary. NOTICE: The steps are the SAME!

  12. Let’s find Rate of Change or Slope from a GRAPH! (-3, -1) (2, 3) ( x1, y1) ( x2, y2) m = 3 – -1 = 4 2 – -3 5

  13. Now Your Turn!!

  14. You have lots of choices!! Only choose two. (-2, 0) (0, -2) ( x1, y1) ( x2, y2) Do you remember the name of these points? m = -2 – 0 = -2 = 0 – -2 2 -1

  15. Independent Practice!! • Complete exercises on workbook. • Show ALL work! • Remember it is independent – don’t look at your neighbor’s work!

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