This document contains a semi-detailed lesson plan for a math class on linear inequalities in two variables. The lesson plan outlines intended learning outcomes, learning content including subject matter and reference materials, learning experiences including sample math word problems and explanations of key concepts, an evaluation through an online quiz, and an assignment for students to create a budget proposal applying their understanding of linear inequalities.

1. Republic of the Philippines
Department of Education
Region VII Central Visayas
Division of Cebu City
Quiot National High School
Bogo, Quiot , Cebu City
A Semi-Detailed Lesson Plan
In Math 8
April 15, 2021
Date of Teaching
9:00-10:00 AM
Time of Teaching
https://meet.google.com/pct-kxyd-yyd?authuser=1
Google Meet link
Prepared by:
LORIE JANE L. LETADA
Teacher 1
Observed by:
ELEANOR D. GALLARDO
ASSISTANT PRINCIPAL

2. I. Intended Learning Outcomes
Through varied learning activities, the grade 8 students with at least 80 %
accuracy will:
a. differentiatelinearinequalitiesintwovariablesfrom the linearequationin
twovariables;
b. illustrate andgraphlinearinequalitiesintwovariables;and
c. solve problems involvinglinearinequalitiesintwovariables.
II. Learning Content
A. Subject Matter
Linear Equations in Two Variables
B. Reference
Quizizz (2021). Linear Inequalities in Two Variables. Retrieved April 12, 2021,
from https://quizizz.com/admin/quiz/606fd28a030209001ce360fc/linear-
inequalities-in-two-variables.
DepEd (2021). Linear Inequalities in Two Variables. Retrieved April 12, 2021,
from file:///C:/Users/acer/Downloads/Math%208_Q2_Week%201_Module-
1_Linear_Inequalities_of_Two_Variables.pdf.
DepEd (2015). Linear Inequalities in Two Variables. Retrieved April 12, 2021,
from https://richardoco.weebly.com/uploads/1/9/7/2/19725327/module_4.pdf.
C. Materials
Modified Learning Curriculum Guide (MELCs), Self-Learning Modules, Laptop,
headsets, speaker and strips of paper (soft copy), learning software such as Quizizz and
Mentimeter.
III. Learning Experiences
A. Activity
Budget Matters
The student will use the situation below to answer the questions that follow.
Supposed you are Amelia. Complete the following table with the needed data.
Ingredients Quantity Cost per Unit or
piece
Estimated Cost
chicken
soy sauce
garlic
onion
black pepper
B. Analysis
Amelia was given by her mother Php 320 to buy some food ingredients
for “Chicken Adobo”. She made sure that it is good for 5 people.

3. Based on the situation above, answer the following questions.
1. How did you estimate the cost of each ingredient?
2. Was the money given to you enough to buy all the ingredients?
Justify your answer.
3. Suppose you do not know the cost per piece or Unit of each
ingredient yet. How will you represent this algebraically?
4. Suppose there are two items that you still need to buy. What
mathematical statement would represent the total cost of the two
items?
C. Abstraction
A linear equation in two variables can be written in the form 𝐴𝑥 + 𝐵𝑦 = 𝐶
where a, b, c are real numbers and has ONLY one solution and ordered pairs,
while, A linear inequality in two variables in an inequality that can be written in
one of the following forms.”
𝐴𝑥 + 𝐵𝑦 < 𝐶 𝐴𝑥 + 𝐵𝑦 > 𝐶
𝐴𝑥 + 𝐵𝑦 ≤ 𝐶 𝐴𝑥 + 𝐵𝑦 ≥ 𝐶
Where A, B and C are real numbers and A and B are not both equal to zero.
Examples:
1. 4𝑥 − 𝑦 > 1 2. 𝑥 + 5𝑦 ≤ 9 3. 3𝑥 + 7𝑦 < 2
4. 8𝑥 − 3𝑦 ≥ 14 5. 2𝑦 > 𝑥 − 5 6. 𝑦 ≤ 6𝑥 + 11
The graph of an inequality in two variables is the set of points that represents all
solutions to the inequality. A linear inequality divides the coordinate plane into
two halves by a boundary line where one half represents the inequality solutions.
The boundary line is dashed for > and < and solid for ≤ and ≥. The half-plane that
is a solution to the inequality is usually shaded.
D. Application
Students will do the following through mentimeter.com:
A. Tell which of the following is a linear inequality in two variables.
1. 3𝑥 − 12 > 12 4. 9(𝑥 − 2) < 15
2. 19 > 𝑦 5. 13𝑥 + 6 < 10 − 7

4. 3. 𝑥 + 3𝑦 < 7
B. Graph the linear inequality of two variables y ≥ -x + 3.
C. State whether (4, -1) is a solution of the inequality 𝑥 + 3𝑦 ≤ 8.
IV. Evaluation
Students will take the quiz using an online math game.
V. Assignment
Read the situation below, then come up with the appropriate budget proposal. The
budget proposal should be clear, realistic, and linear inequalities in two variables and
other mathematical statements.
Due to the rising prices of food commodities, you decided to raise broiler
chickens for your family’s consumption. You sought permission from your
parents and asked them to give you some amount to start with. Your parents
agreed to give you some money; however, they still need to see how you will use
it. They asked you to prepare a budget proposal for the chicken house that you
will be constructing, the number of chickens to be raised, the amount of chicken
feeds, and other expenses.
Guided Questions:
How did you find the different performance tasks? How did the tasks help you see
the real world use of linear inequalities in two variables?