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Fundamental theorem
BSEd Mathematics (HOM-1)
JH Cerilles State College
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Preview text
GRADE
10
DAILY
LESSON
PLAN
(DLP)
School DUMINGAG NATIONAL HIGH
SCHOOL
Grad
e
Level
10
Teacher Marvin S. Macan Learn
ing
Area
Math
Teaching
Dates
and Time
November 18, 2022
2:00 PM- 3:00 PM
Quart
er
1
I. OBJECTIVES Objectives must be met over the week and connected to the curriculum standards.
To meet the objectives necessary procedures must be followed and if needed, additional lessons, exercises, and remedial activities may be done for developing content knowledge and competencies. These are assessed using Formative Assessment strategies. Valuing objectives support the learning of content and competencies and enable children to find significance and joy in learning the lessons. Weekly objectives shall be derived from the curriculum guides. A Standards
The learners demonstrates understanding of key concepts of and polynomial equations. B Standards
The learner is able to formulate and solve problems involving polynomial equations in different disciplines through appropriate and accurate representations. C. Learning Competency/ Objectives Write the LC code for each.
Objectives: Given the materials and activities, the learners are expected to do the following with at least 75% level of accuracy; a.) Illustrates polynomial equations. b.) Solve polynomial equation using fundamental theorem and zero product property.
II. CONTENT Content is what the lesson is all about. It pertains to the subject matter that the
teacher aims to teach in the CG, the content can be tackled in a week or two. POLYNOMIAL EQUATIONS
III. LEARNING
RESOURCES
List the materials to be used in different days. Varied sources of materials sustain children’s interest in the lesson and in learning. Ensure that there is a mix of concrete and manipulative materials as well as paper-based materials. Hands on learning promotes concept development. A. References Mathematics Learner’s Material 10
- Teacher’s Guide pages
- Learner’s Materials pages
LM p-
- Textbook pages
- Additional Materials from Learning Resource (LR) portal
pencil, yellow paper, Ball pen, ruler, marker, manila paper, laptop, projector, TV
B. Other Learning Resource
Google/ Wikipedia/ Quadrilaterals
IV.
PROCEDURES
These steps should be done across the week. Spread out the activities appropriately so that students will learn well. Always be guided by demonstration of learning by the students which you can infer from formative assessment activities. Sustain learning
systematically by providing students with multiple ways to learn new things, practice their learning, question their learning processes, and draw conclusions about what they learned in relation to their life experiences and previous knowledge. Indicate the time allotment for each step. TEACHER’S ACTIVITY STUDENTS’ ACTIVITY PRELIMINARIE S Greetings:
Prayer:
Checking of Attendance:
Setting of Class Rules
Good morning, everyone! How are you today?
By the way, I am Mr. Marvin S. Macan and I will be your teacher in this session!
Before we formally start, let us have a prayer and to be led by_________. Please be seated.
Is everyone around today?
As we proceed to our discussion proper, please observe, silence, unless if your attention and participation is requested. Second, do not answer in chorus, instead just raise your hand if you want to answer to clarify something. Third, do not interrupt if someone is discussing. Lastly, put your cell phones in a silent mode or do not use it unless it was required. Thank you. Is that clear?
Good morning, sir! We are fine, thank you
Okay Sir!
Prayer leader: own prayer...... Amen.
Yes sir, we are all present.
Yes Sir!
A. Reviewing previous lesson or presenting the new lesson
Pass and Sing
Directions: Everybody stand and form a circle. I have here some crampled papers, inside of it are set/s of equation/s. then you are going to sing ‘’leron leron sinta’’ and pass the crampled papers to your right and if I say stop then you are going to stop then answer if how many roots and what is the roots of the given equation. Giveyour reasons
1.) x - 2 2.) x + 3 3.) x(x- 4) 4.) (x+1) (x-3) 5.) (X+8) (x-7) (x+2)
Guide Questions:
- What do you call the given equations?
- how did you solve or get the roots of an equation?
1.) +
2.) -
3.) 0 and + 4.) -1 and + 5.) -8, +7 and -
- Polynomial equation
- Using the zero product property.
B. Establishing a purpose for the lesson
teacher presents the objectives)
For todays lesson, we are going to discuss about polynomial equation and each of you
Direction: Some polynomial equations are given below. Complete the table and answer the questions that follow. (If a roots occurs twice, count it twice; if thrice, count it in three times, and so on. The first one is done for you.)
Is that clear? Any questions?
Polynomial equation
Degr ee
Real Roots of an Equation
Numb er of real roots (x+1) 2 (x- 5)=
3 -1(
times); 5
3
x-8= (x+2) (x-2) (x-3)(x+1)(x- 1)= X(x-4)(x+5) (x-1)=
None sir.
Polyno mial equatio n
Degr ee
Real Roots of an Equati on
Num ber of real roots (x+1) 2 (x-5)=
3 -1(
times) ; 5
3
x-8=0 1 8 1 (x+2) (x-2)
2 -2; 2 2
(x-3) (x+1) (x-1)=
3 3; -1;
1
3
X(x-4) (x+5) (x-1)=
4 0; 4;
-5; 1
4
E. Discussing new concepts and practicing new skills # 2
Activity 3: Finding the roots of Polynomial Equations by applying Zero Product Property
Directions: find the roots of the following Polynomial equations by applying the zero product property.
- (x+3) (x-2) (x+1) (x-1)=
- (x+5) (x-5) (x+5) (x-1)
- (x+4) 2 (x+6) 3
F. Developing mastery (leads to Formative Assessment )
Activity 4 Consider the following polynomial equations. At most how many real roots does each have?
a. x 20 -1= b. x 3 -2x 2 -4x+8= c. 18+9x 5 -11x 2 -x 23 +x 34
a. 20 b. 3 c. 34
G. Finding practical application of concepts and skills in daily living
If I am in market and I bought an apple with the degree of 4 and a watermelon with the degree of 8 and a cabbage with the degree of 2 and 11 oranges. How many real roots does it have?
Student 1: there are 8 real roots sir.
H. Making generalization s and abstractions about the lesson
Again, what is a polynomial equation? Anyone?
How can we find the real roots using the fundamental theorem of algebra and zero product property?
Thank you!
Answers may vary.
I. Evaluating learning Classmates Feud
Direction/s: I want you to have two groups and each group must have a representative of five person. I am going to flash some equations on the screen and just like the reality TV show Family Feud, each leader of the group must beat the buzzer first to answer if what is the roots of the equation. The winning group will receive a surprise reward. In the count of 5, go to your group
X 2 +2x-8=
(x+2) (x-8) (x+4)=
(x+4) (x-2)=
X 3 +4x-5=
2x(x 2 -36)=
2 roots
3 roots
2 roots
3 roots
3 roots
J. Additional activities for application or remediation
Assignments:
Study and answer activity 4 in page 85of your book (finding real roots of Polynomial Equations by Applying the Factor Theorem)
Any questions and Clarifications?
That would be all for today, thank you!
None sir.
Goodbye and thank you sir.
Fundamental theorem
Course: BSEd Mathematics (HOM-1)
University: JH Cerilles State College
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