2. Objectives
At the end of the lesson, 80% of the students are
expected to:
a. Define Quadratic Equation.
b. State the form of a quadratic equation.
c. Solve problems involving quadratic equations .
d. Identify the use of quadratic equations in everyday life.
e. Evaluate performance from the activity.
3. Introduction
Quadratic Equation in algebra, is any
equation having the form ax2+bx+c = 0 where x
represents an unknown and a , b , c represent
known numbers such that a is not equal to
zero. It can be solved using the square roots,
by factoring, completing the square and by
using the quadratic formula.
4. Warm-Up Activity
Group the class into two.
Tell if the equations are quadratic or not.
Groups will be given 5 minutes each to
answer the problems.
1. x – y = 0
2. X2 – 9x + 20 = 0
3. 2x2 – 16x + 26 = 0
4. 18x + 75 = 0
5. 25x + 11 = 0
5. Warm-Up Activity
Ask:
What is quadratic equation?
When do you use quadratic equation?
How do you differentiate quadratic equations
from other equations like linear?
6. Activity
Group the class into 4. Each group will be given an
activity card. Answer the problems legibly. (20
minutes)
Group 1
Solve using the square
root:
X2 = 1
Group 3
Solve by completing
the square:
Y2 – 8y= 7
Group 4
Solve using the
quadratic formula:
5y2 + 6y + 1 = 0
Group 2
Solve by factoring:
X2 + 23x= 0
7. Activity
Answer the questions (one for each reporter):
1. How do you solve the quadratic equations by
using the square roots?
2. By factoring?
3. By completing the square?
4. By using the quadratic formula?
8. Conclusion
Quadratic equation can be used in many different
ways. We can use it in calculating room areas, figuring a
profit, finding the speed or quadratics in analytics. It lend
Themselves to modeling situations that happen in real life.
You can easily solve the equation by setting it to zero and
predicting the patterns in the function values.
When extracting the square roots, one must bear in
mind that the first step is isolating the squared variable.
Then we take the square root of both sides of the equation.
Factoring means expressing the quadratic equation in
standard form, applying the zero product property and
setting each variable equal to zero.
9. Conclusion
Meanwhile, in completing the square, we divide all
terms by a coefficient of the squared variable, move the
number term to the right side of the equation and complete
the square on the left side of the equation and balance this
by adding the same value to the right side of the equation.
And the simplest way to solve the quadratic equation is to
use the quadratic formula, x = ± b 𝑏2 − 4𝑎𝑐 / 2a. The
equation should be equal to zero, we identify the values a, b
and c and we use the quadratic formula.
Solving equations using the quadratic equation
methods is not an easy task. But as long as we follow the
process, and find the correct answer then we are good to go.
10. Please circle 1 to 4 for each of the following questions.
1 = Strongly Disagree 2 = Disagree
3 = Agree 4 = Strongly Agree
1. I enjoy working in groups.
1 2 3 4
2. I feel comfortable working in groups
1 2 3 4
3. I feel comfortable asking my group members questions
1 2 3 4
4. I feel more inclined to ask my group members questions before asking the teacher
1 2 3 4
5. I find my group members to be helpful
1 2 3 4
6. I feel I have a better understanding of mathematics from working in a group
1 2 3 4
7. Being in a group has helped me become more successful in math
1 2 3 4
8. I have enjoyed the Simultaneous Round Table cooperative learning strategy
1 2 3 4
9. I have enjoyed the Find a Friend cooperative learning strategy
1 2 3 4
