Cot 4
Cot 4
Cot 4
I. OBJECTIVES
A. Learning Competency Solve a System of Linear Equations in two variables by substitution .
B. Learning Outcome Solve a System of Linear Equation in two variables.
C. Learning Objectives 1. familiarize the procedures in finding the solution of the system by substitution.
(KSA) 2. Find the solution of a system of Linear Equations using substitution.
3. Cite real-life situations that relate to system of Linear Equations.
II. CONTENT Linear Equation
III. LEARNING RESOURCES
A. References Grade 8 Mathematics Learner’s Material
pp. 172 - 174
B. Other Resources Intermediate Algebra by Julieta G. Bernabe
IV. PROCEDURE
A. Reviewing previous Questions to be asked.
lesson or presenting the - How will you evaluate polynomials?
new lesson - How will you find the solution of Linear Equation?
- Find the solution of the ff. equations below.
a) 2x + 4 = 12
b) -3x + 12 = x + 4
c) - 3 + 3x = 2x – 5
- Who can give me an example of Linear Equation in two variables?
- How will you graph that equation?
B. Establishing a purpose “Tasks to be done individually”
for the lesson - Draw a Cartesian plane.
- Plot the ordered pairs / points A(0,4) , B(-1,2) and C(2,0).
-Draw a straight line through points A and B then find its equation in slope-intercept form.
- Draw a straight line through points B and C then find its equation in slope-intercept form.
- What happened to the lines graphed in a Cartesian Plane?
- At what point did they intersect?
- Substitute -2x + 4 for y in the 1st equation and then solve for x.
- Substitute the value of x for x in the 2nd equation.
- Is the ordered pair formed by values of x and y the ordered pair where two lines intersect?
C. Presenting The teacher will present the algebraic method in finding a solution of the system of Linear
examples/instances of the Equation.
new lesson - Solution by Substitution
Questions to be asked:
- How do we apply the Solution by Substitution to obtain the accurate solution/s of the
System of linear equation?
F. Developing mastery The teacher divides the class in 4 groups. Each group is assigned with task to be presented
(Leads to Formative before the class and is rated accordingly based on the rubrics established by the teacher.
Assessment)
The task for each group is found below.
Group 1
Find the solution of the systems of equations by substitution.
1. y = 4x + 21
y = -3x – 7
Group 2
Find the solution of the systems of equations by substitution.
1. x+ y=1
2x - y = -13
Group 3
Find the solution of the systems of equations by substitution.
1. y = -4x - 11
3x + 2y = -2
Group 4
Find the solution of the systems of equations by substitution.
1. y = 3x/4 + 8
y = x/8 + 11/2
G. Finding practical Values: Self-confidence is the most attractive quality a person can have. How can anyone
applications of concepts see how awesome you are if you can’t see it yourself.
Prepared by:
Dindo D. Retiza
Teacher I
3. Did the remedial lessons work? No. of learners who have caught up
0 out of _ students have caught up with the lesson
with the lesson
4. No. of learners who continue to require remediation 0 students need a follow up remediation