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Title of Lesson: Lines in the Plane

Title of Lesson: Lines in the Plane. Section: 1.1 Pages: 3-11. My Learning Goals. Find the slope and equations of linear graphs based on various information. 2. Use a graphing calculator to graph lines and determine their properties. 3. Apply these skills to application problems.

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Title of Lesson: Lines in the Plane

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  1. Title of Lesson: Lines in the Plane Section: 1.1 Pages: 3-11

  2. My Learning Goals • Find the slope and equations of linear graphs based on various information. 2. Use a graphing calculator to graph lines and determine their properties. 3. Apply these skills to application problems.

  3. Vocabulary/Formulas 1. Slope = 2. Slope Intercept Form of a Line: 3. General Form of a Line: 4. Point Slope Form of a Line:

  4. Prerequisite Skills with Practice 1. Fraction operations. 2. Solving for a variable.

  5. Notes Text: Finding the slope of a line given two points. Slopes are given the by the variable “m” and calculated by using Problem: Find the slope of the line that goes through the points (-2,0) and (3,1)

  6. Notes Text: Finding the slope of a line given two points. Problem: Find the slope of the line that goes through the points and (4,0) and

  7. Notes Text: Generalizations about lines: 1. Positive slopes 2. Negative slopes 3. Undefined slopes 4. Zero Slopes Problem:

  8. Notes Text: Using point-slope form of a of a line. Point slope form is given by : Problem: Find the equation of the line that passes through the point (1,-2) and has the slope of 3.

  9. Notes Text Using the slope-intercept form. Slope intercept form is given by: Problem Find the y-intercept and slope of the line given in general form.

  10. Notes Text: Finding equations of parallel lines Property of parallel lines: Lines are parallel if their slopes and equal. Problem: Find the slope-intercept form of the equation of the line that passes through the point (-2,1) and is parallel to the line

  11. Notes Text: Finding equations of perpendicular lines Property of perpendicular lines: Lines are perpendicular if their slopes and opposite reciprocals. Problem: Find the slope-intercept form of the equation of the line that passes through the point (-2,1) and is perpendicular to the line

  12. Notes Text: Application – using what we have learned to make predictions. Problem During 2009, a brand new Comic Con collectible sold for $25.50. In 2014 the same collectible was sold again for $47.25. Write a linear equation to model how much the collectible is worth with respect to years. Use that equation to make a prediction about how much the collectible will be worth in 2017.

  13. Homework Assignment:

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