A Detailed Lesson Plan in Mathematics (First Year) I. Objectives Content : To know the condition(s) for lines to be perpendicular : To determine whether two given lines are perpendicular Process : To find the equation of the line that passes through a point (x,y) and is perpendicular to the given line whose equation is y=mx+b II.
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Subject Matter Topic: Linear Function Sub-Topic: Perpendicular Lines Reference: Merrill Algebra Two with Trigonometry page: 80-83 by: Foster Materials: Power point presentation, Strategies: Exposition and Discussion Values: Courage and Determination III. Procedure A. Lesson Proper | | |Teacher’s Activity |Student’s Activity | | | | |“Good Morning Class” | | | |“Good Morning Ma’am” | |“Let us pray first” | | | |(The class will sing the prayer) | |(Checking of Attendance) |Student raise their hand and say present as the teacher calls in their | |…say present… |name) | B. Motivation | | |(Show a graph below to the students and ask them to observe it carefully)| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |What can you say about the two lines in the plane? The green line and the| | |red line | | | |The two lines are perpendicular | |Very Good! | | |How can you say that the two lines are perpendicular? | | | | |Very Good observation! |Because it show in the plane that the two lines has a 90 degree angle | C. Presentation | | | |In a plane, two non-vertical lines are perpendicular if and only if the | | |product of their slope is -1.
Any vertical lines is perpendicular to any | | |horizontal line | | | | | |Example1: Find an equation of the line that passes through (4,6) and is | | |perpendicular to the line whose | | [pic] | | | | | |The slope of the line is [pic] | | | | | |[pic] · m = -1 | | | | | |m = [pic] | | | | | | | | |Use (4,6) and the slope [pic] to find the y-intercept | | | | | |y=mx+b | | | | | |6 = [pic] (4) + b | | | | | |6 = -6 + b | | |b = 12 | | | | |The equation of the line perpendicular to [pic]and passing through (4,6) | | |is | | | | | |[pic] | | | | | | | | |Example 2: | |
