lesson plan for mathematics, Summaries of Mathematics

Covers the first lesson in statistics

Typology: Summaries

2019/2020

Uploaded on 09/17/2023

vicente-calolo
vicente-calolo 🇵🇭

2 documents

1 / 6

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
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
1. Routine Activity
Prayer
Greetings
Classroom Management
Checking Attendance
Reminders
Review
pf3
pf4
pf5

Partial preview of the text

Download lesson plan for mathematics and more Summaries Mathematics in PDF only on Docsity!

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

  1. Routine Activity  Prayer  Greetings  Classroom Management  Checking Attendance  Reminders  Review
  1. Motivation  The teacher will show a graph of linear equation and the students will identify the slope of the given graph and what kind of slope it is.  The teacher will relate it to real life situations. B. Presentation  The teacher will introduce the topic to the students which is about sketching the graph of linear equations and finding the slope of a line. The teacher will present an example.  Consider the equation xy − 2 = 0 In the table below, arbitrary values for x were assigned and the corresponding values for y were obtained. x -2 -1 0 1 2 y -4 -3 -2 -1 0  Referring to the same graph, An equation of the form Ax + By + C = 0 where A , B , C are constants and A and B are nonzero called the general equation of a straight line. This equation is called a Linear Equation in Two Variables. A straight line is the locus of point that moves in a plane with a constant slope. A slope or gradient is a measure of the steepness of a line. It is the ratio of its rise to the run. Let m be the slope, then m =^ rise run

changey changex

∆ 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.

  1. x −^ y^ +^4 =^0
  2. 3 x + 2 y = 6 Analysis a. Process the Activity b. Ask further questions:  What can you say about the activity?  What did you observe while answering the activity?  Do you find it difficult to sketch the graph using the x- and y- intercepts and finding their slopes?  What helped you understand easily the process of solving and sketching the graph using the x- and y-intercepts?