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3.4 finding and using slopes

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This document discusses slopes of lines. It defines slope as the ratio of rise over run between two points on a line. It provides examples of finding the slopes of lines given two points and discusses key properties such as parallel lines having equal slopes and perpendicular lines having negative reciprocal slopes. Guided examples, practice problems, and checkpoints are provided to help students learn to find and compare slopes of lines.

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3.4 FINDING AND USING SLOPES GEOMETRY Mr. Saucedo
OBJECTIVE:  We will find and compare slopes of lines.
QUESTION: Which of these two rides have a ste steeper slope? How do you know? Which of these has a Negative slope? Positive slope?
SLOPE  DEFINITION:  The ratio of a vertical change (rise) to horizontal change (run) between any two points on the line.  VISUAL  FORMULA
GUIDED EXAMPLE  FIND THE SLOPE OF THE LINE THAT PASSES THROUGH THE POINTS (-3, 0) AND (-2, 4).
CHECKPOINT  FIND THE SLOPE OF THE LINE THAT PASSES THROUGH THE POINTS (1, 2) AND (-1, -4) SMART Response Questio To set the properties right click and select SMART Response Question Object->Properties...
MORE ON SLOPES
GUIDED PRACTICE  Find the slope of the line. BIG QUESTION: If we choose different points on the line, will our answer change?
CHECKPOINT  Find the slope of the Line. SMART Response Question To set the properties right click and select SMART Response Question Object->Properties...
MORE ON SLOPES PARALLEL LINES HAVE EQUAL SLOPES!!!
CHECKPOINT  If the red and blue Lines are parallel, and The red line has a Slope of -4, then what’s The slope of the blue line? SMART Response Question To set the properties right click and select SMART Response Question Object->Properties...
MORE ON SLOPES  PERPENDICULAR LINES Have Negative Reciprocal Slopes
CHECKPOINT  Line R and Line S are perpendicular. The slope of line R is -3. What is the slope of line S. SMART Response Question To set the properties right click and select SMART Response Question Object->Properties...
GUIDED QUESTION  Find the slopes of Each line. Which are Parallel?
Guided Question  Draw the line that goes through the point (3,-2) with slope -1/6.
CHECKPOINT  Tell whether the lines through the given points are parallel, perpendicular or neither. Line 1: (-3,1), (-7,-2) Line 2: (2,-1), (8,4)
GUIDED QUESTION
CHECKPOINT  According to this graph, how much snow is lost per day? SMART Response Question To set the properties right click and select SMART Response Question Object->Properties...
CHECKPOINT  How much snow was there on the first day that the data started being recorded? SMART Response Question To set the properties right click and select SMART Response Question Object->Properties...
INDEPENDENT WORK Enter the answers to the following problems on the book. Page 175. 1. Problem 3 2. Problem 4 3. Problem 5 4. Problem 6 5. Problem 8 6. Problem 15 7. Problem 24 8. Problem 33 9. Problem 34
HOMEWORK  WORKBOOK PAGES 52 – 53. PROBLEMS 1 – 31 ODDS.

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3.4 finding and using slopes

  • 1. 3.4 FINDING AND USING SLOPES GEOMETRY Mr. Saucedo
  • 2. OBJECTIVE:  We will find and compare slopes of lines.
  • 3. QUESTION: Which of these two rides have a ste steeper slope? How do you know? Which of these has a Negative slope? Positive slope?
  • 4. SLOPE  DEFINITION:  The ratio of a vertical change (rise) to horizontal change (run) between any two points on the line.  VISUAL  FORMULA
  • 5. GUIDED EXAMPLE  FIND THE SLOPE OF THE LINE THAT PASSES THROUGH THE POINTS (-3, 0) AND (-2, 4).
  • 6. CHECKPOINT  FIND THE SLOPE OF THE LINE THAT PASSES THROUGH THE POINTS (1, 2) AND (-1, -4) SMART Response Questio To set the properties right click and select SMART Response Question Object->Properties...
  • 8. GUIDED PRACTICE  Find the slope of the line. BIG QUESTION: If we choose different points on the line, will our answer change?
  • 9. CHECKPOINT  Find the slope of the Line. SMART Response Question To set the properties right click and select SMART Response Question Object->Properties...
  • 10. MORE ON SLOPES PARALLEL LINES HAVE EQUAL SLOPES!!!
  • 11. CHECKPOINT  If the red and blue Lines are parallel, and The red line has a Slope of -4, then what’s The slope of the blue line? SMART Response Question To set the properties right click and select SMART Response Question Object->Properties...
  • 12. MORE ON SLOPES  PERPENDICULAR LINES Have Negative Reciprocal Slopes
  • 13. CHECKPOINT  Line R and Line S are perpendicular. The slope of line R is -3. What is the slope of line S. SMART Response Question To set the properties right click and select SMART Response Question Object->Properties...
  • 14. GUIDED QUESTION  Find the slopes of Each line. Which are Parallel?
  • 15. Guided Question  Draw the line that goes through the point (3,-2) with slope -1/6.
  • 16. CHECKPOINT  Tell whether the lines through the given points are parallel, perpendicular or neither. Line 1: (-3,1), (-7,-2) Line 2: (2,-1), (8,4)
  • 18. CHECKPOINT  According to this graph, how much snow is lost per day? SMART Response Question To set the properties right click and select SMART Response Question Object->Properties...
  • 19. CHECKPOINT  How much snow was there on the first day that the data started being recorded? SMART Response Question To set the properties right click and select SMART Response Question Object->Properties...
  • 20. INDEPENDENT WORK Enter the answers to the following problems on the book. Page 175. 1. Problem 3 2. Problem 4 3. Problem 5 4. Problem 6 5. Problem 8 6. Problem 15 7. Problem 24 8. Problem 33 9. Problem 34
  • 21. HOMEWORK  WORKBOOK PAGES 52 – 53. PROBLEMS 1 – 31 ODDS.