Factors completely different types of polynomials (polynomials with common monomial factor), M8AL-Ia-b-1
1. Department of Education
Schools Division of NEGROS ORIENTAL
MATHEMATICS
Department of Education
Schools Division of NEGROS ORIENTAL
MATHEMATICS
COMPETENCIES: (for the week)
Factors completely different types of
polynomials (polynomials with common
monomial factor), M8AL-Ia-b-1
2. Department of Education
Schools Division of NEGROS ORIENTAL
MATHEMATICS
Department of Education
Schools Division of NEGROS ORIENTAL
MATHEMATICS
Lesson Objectives: (for the day)
K: Identifies the common monomial factor of
the given polynomials
S: Factors polynomial with common
monomial factor.
A: Appreciates the importance of factoring in
real-life situation.
3. Department of Education
Schools Division of NEGROS ORIENTAL
MATHEMATICS
Department of Education
Schools Division of NEGROS ORIENTAL
MATHEMATICS
Introduction:
Divide the class into five groups (each group will use THINK,
PAIR and SHARE strategy).
Provide each group with pictures. Let the learners identify the
difference of the pictures. Guide the students to answer the
following:
• What is/are the picture?
• What have you observed on the picture?
• Did you find any common?
4. Department of Education
Schools Division of NEGROS ORIENTAL
MATHEMATICS
Department of Education
Schools Division of NEGROS ORIENTAL
MATHEMATICS
Presentation:
Motive Questions:
1. What are the things common to these
pictures?
2. Are there things that make them different?
3. What is/are the thing/s common to two
pictures but not found on the other?
5. Department of Education
Schools Division of NEGROS ORIENTAL
MATHEMATICS
Department of Education
Schools Division of NEGROS ORIENTAL
MATHEMATICS
Discussion:
• ACTIVITY: Do we have a common?
• Identify the common term of each polynomial through prime
factorization.
1. 2ab + 2ac – 2a
Ans. 2a
2. 20x2 – 12
Ans. 4
3. x(a-b) + y(a-b)
Ans. (a-b)
6. Department of Education
Schools Division of NEGROS ORIENTAL
MATHEMATICS
Department of Education
Schools Division of NEGROS ORIENTAL
MATHEMATICS
Ask the following:
•What are the prime factors of each term?
•What is the common factor?
•How did you identify the common
factor?
7. Department of Education
Schools Division of NEGROS ORIENTAL
MATHEMATICS
Department of Education
Schools Division of NEGROS ORIENTAL
MATHEMATICS
BIG IDEA!
• Common monomial factoring is the process of writing a
polynomial as a product of two polynomials, one of
which is a monomial that factors each term of the
polynomial.
• Every expression has itself and the number 1 as a factor.
These are called the trivial factors. If a monomial is the
product of two or more variables or numbers, then it will
have factors other than itself and 1.
8. Department of Education
Schools Division of NEGROS ORIENTAL
MATHEMATICS
Department of Education
Schools Division of NEGROS ORIENTAL
MATHEMATICS
Developing Mastery:
ACTIVITY: Group Activity
•Cite one real-life situation that demonstrates
polynomial with common monomial factor.
9. Department of Education
Schools Division of NEGROS ORIENTAL
MATHEMATICS
Department of Education
Schools Division of NEGROS ORIENTAL
MATHEMATICS
Application:
Solve the problem:
Find the area of a rectangle whose width is
2x – 3 and the length is 5 more than the
width.
Ans. 20x2 – 60x + 45
10. Department of Education
Schools Division of NEGROS ORIENTAL
MATHEMATICS
Department of Education
Schools Division of NEGROS ORIENTAL
MATHEMATICS
Generalization:
Answer the following questions:
•What is a polynomial?
•How can we obtain the factors of polynomials
using common monomial factor?
•What concepts have you learned from factoring
that can be applied in your daily living?
11. Department of Education
Schools Division of NEGROS ORIENTAL
MATHEMATICS
Department of Education
Schools Division of NEGROS ORIENTAL
MATHEMATICS
Evaluation:
Instructions: Find the GCF of the following
polynomials.
1.ax4, -a2x6, a3x2
2. 56x2, -4x, -12
3. abx2, -axz, bxy
4. 5y2 + 10
5. 14p2 + 21
12. Department of Education
Schools Division of NEGROS ORIENTAL
MATHEMATICS
Department of Education
Schools Division of NEGROS ORIENTAL
MATHEMATICS
Assignment:
In your notebook, answer the question
below.
What do you think is the amount of
courage needed to make up for a
shortcoming?
