Detailed Lesson Plan In Mathematics 10

DETAILED LESSON PLAN
MATHEMATICS 10

I. Learning Objectives
At the end of the lesson, the students are expected to:
a. Solve problems involving polynomial functions.
b. Realize the importance of polynomial functions in solving real-life problems.
c. Apply understanding on polynomial functions in solving real-life problems.


II. Subject Matter
Topic: Patterns and Algebra
Code: M10AL-IIb-2
References: 1. Mathematics Learner’s Material 10 p. 106-107
2. https://youtu.be/fSLTx-LcxVo
3. https://youtu.be/zaoZs8U-4Fc
Materials: Cartolina, marker, laptop, projector, paper and pen
Values Integration: collaboration, activeness, cooperation

III. Procedure


Teacher’s Activity Student’s Activity

A. Preliminary Activities
 Prayer “Dear Lord, thank you for blessing us always. Guide
us and give us wisdom as we tackle our lesson today.
Live Jesus in our hearts, Amen”

 Greetings
 Classroom Management
 Checking of Attendance
 Review

Activity 1: “Which One” Activity 1: “Which One”
Instruction: Answer each question by
selecting which one is the correct answer.  Which one is the formula in finding the volume
 Which one is the formula in finding the of a cube? V cube =s3
volume of a cube?  Which one is the formula in finding the area of
 Which one is the formula in finding the a rectangle? Arectangle =lw
area of a rectangle?  Evaluate P ( x )=2 x 3 + x 2+ 3 at x=2?
 Evaluate P ( x )=2 x 3 + x 2+ 3 at x=2? P ( x )=23
 Which one is the formula in finding the  Which one is the formula in finding the volume
volume of a rectangular prism? of a rectangular prism? V r . prism=lwh
B. Motivation
Activity 2: “Press the Button”
.
Group Activity:
The group will be divided into 2 groups. The
group will select their leader. Each group will
press the button alternately for them to find the
missing words. Some buttons don’t have a
word but an information. After the students find
the missing word, they will arrange those words
to create a sentence. The winning group will be
the one who will first write correct sentence.

, Am I clear?
Let’s start!


“Press the Button” 1 – SOLVING

2 – A polynomial function is a function of the form
n n−1 n−2
P ( x )=an x + an−1 x +a n−2 x + . ..+ a1 x +a 0 ,
an ≠ 0
where n is a nonnegative integer,
a 0,a 1, … a n are real numbers called coefficients
n
a n x is the leading term
a n is the leading coefficient
a 0,is the constant term

Example:
P ( x )=4 x 4 + x3 +3 x 2+ 2 x +12

3 – PROBLEMS

4 – Polynomial in Standard Form - any polynomial
whose terms are arranged in decreasing powers of x

Example:
4 3 2
P ( x )=4 x + x +3 x + 2 x +12

5 – INVOLVING

6 – FORMULAS
Volume of Rectangular Prism V r . prism=lwh
Volume of a cube- V cube =s3

Take note of the information that you get for 7 – POLYNOMIAL
later on it will be useful as we go on our topic.
8 – Polynomials may also be written in factored form
What are the missing words? and as a product of irreducible factors.

For your final task, arrange the jumbled words a.) y=x 4 + 2 x 3−x 2 +14 x−56 in factored form is
y=( x +7 ) (x−2)(x+ 4)
2
and create a sentence.
What did you create?
Very well! You just got our objective for today’s b.) y=x 3−x 2−9 x +9 in factored form is
lesson. y=(x−3)(x +3)(x−1)

9 – FUNCTIONS



C. Presentation/Discussion The missing words are SOLVING, FUNCTIONS,
Today we are going to learn more on how to POLYNOMIAL, INVOLVING, PROBLEMS
solve problems involving polynomial function.

Let’s go back to the information we’ve got a Solving problems involving polynomial functions.
while ago.

 A polynomial function is a function of the

form