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Republic of the Philippines Leyte Normal University COLLEGE OF EDUCATION Tacloban City, Leyte A Semi-Detailed Lesson Plan in Mathematics 8 I. Objective At the end of the lesson, students are expected to do the following with 75% level of proficiency: Graphs the equations of the lines. Identifies the equation of a line given its graph. Solves for the x- and y-intercepts of a line. Applies the concept of Slope to draw a line. II. Content and Materials A. Content Standards: The learner demonstrates key concepts of linear inequalities in two variables and linear function. B. Performance Standards: The learner is able to formulate and solve accurately real-life problems involving linear inequalities in two variables, systems of linear inequalities in two variables, and linear function. C. Topic: Sketching the graph of linear equations and finding the slope of a line. D. Reference: Mathematics 8 Learner’s Material E. Materials: PowerPoint Presentation, White Board III. Procedure A. Preliminary Activities
change ∈ y change ∈ x
∆ y ∆ x
y 8 6 4 2 0 Graph of x + y = 4 : Slope of the line x^ +^ y =^4 : Take points (0,4) and (2,2). m = y 2 − y 1 x 2 − x 1
m =− 1 A line is said to be rising line if the slope is positive while a line with a negative slope is called a falling line. A line can also be horizontal or vertical. The teacher will now give an example. Sketch the graph of the equation x −^2 y −^4 =^0 using the x- and y- intercepts and find their slopes. Answer: x-intercept: x − 2 y − 4 = 0 x − 2 ( 0 )− 4 = 0 x − 4 = 0 x = 4 y-intercept: x −^2 y −^4 =^0 0 − 2 y − 4 = 0 − 2 y = 4
y =− 2 Graph of x − 2 y − 4 = 0 : Slope of x − 2 y − 4 = 0 : Take the x- and y-intercepts, (4,0) and ( 0 , − 2 ). m = y 2 − y 1 x 2 − x 1
Activity The teacher will now give the activity to test if the students learned from the discussion. Present: Sketch the graph of the following equations using the x- and y- intercepts and find their slopes.