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Lesson Plan in Mathematics 10, Summaries of Mathematics

Mathematics

4As Lesson Plan in Mathematics 10

Typology: Summaries

2018/2019

Available from 12/12/2022

nikka-abenion
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Vicenta C. Nograles National High School
Daily Lesson Plan
Mathematics Department
S.Y 2019 - 2020
July 25, 2019
(Thursday)
L.C: Proves the Remainder Theorem and the Factor Theorem.. M10AL-Ig-2
I. Objectives: At the end of the lesson the students will be able to:
A. identify the significance of Factor Theorem in the given polynomial expression;
B. use the Factor Theorem to determine whether the binomial (x-r) is a factor of the
given polynomials;
C. develop patience on how to solve exercises in factor theorem
II. Subject Matter
Topic: THE FACTOR THEOREM
Reference: Advanced Algebra, Trigonometry and Statistics IV. 2013. pp. 94-96, 98-99*
Grade 10 Learners module pages 74 - 77
Materials: cartolina, marker, manila paper
III. Procedure
A. Preparatory Activities
1. Review
The teacher will review the students about the Remainder Theorem:
Ex. 1. (x4 – x3 + 2) ÷ (x + 2)
2. Motivation
Activity: DECODE MY CODE
Evaluate the polynomial at the given values of x. Next, determine the letter that
matches your answer. When you are done, you will be able to decode the
message.
A. P(x) = x3 + x2 + x + 3 B. P(x)=x4 – 4x3 – 7x2 +22x + 18
A. 17 C. –3 E. 5 I. 18 M. 3 N. 78 O. 2 O. 30 P. 6 R. 0
S. –6 T. 23
Guide question:
1. How did you find the value of a polynomial expression P(x) at a given
value
of x?
2. What message did you obtain? COMPASSION
(Answered and verified)
B. Developmental Activities
1. Activity
a) Presentation
Complete the tree diagram.
Therefore,
A. (1) (24) = 24
B. (2) (12) = 24
C. (3) (8) = 24
D. (4) (6) = 24
Are all factors of 24
A. (1) (24)
x-2 -1 0 1 2
P(x) 217
message O A
x-2 -1 0 1 5
P(x) -6 18
message S I N
pf3

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Daily Lesson Plan

Mathematics Department

S.Y 2019 - 2020

July 25, 2019 (Thursday) L.C: P roves the Remainder Theorem and the Factor Theorem.. M10AL-Ig- I. Objectives : At the end of the lesson the students will be able to: A. identify the significance of Factor Theorem in the given polynomial expression; B. use the Factor Theorem to determine whether the binomial (x-r) is a factor of the given polynomials; C. develop patience on how to solve exercises in factor theorem II. Subject Matter Topic: THE FACTOR THEOREM Reference: Advanced Algebra, Trigonometry and Statistics IV. 2013. pp. 94-96, 98-99* Grade 10 Learners module pages 74 - 77 Materials: cartolina, marker, manila paper III. Procedure A. Preparatory Activities

1. Review  The teacher will review the students about the Remainder Theorem: Ex. 1. (x4 – x3 + 2) ÷ (x + 2) 2. MotivationActivity: DECODE MY CODE Evaluate the polynomial at the given values of x. Next, determine the letter that matches your answer. When you are done, you will be able to decode the message.

A. P(x) = x^3 + x^2 + x + 3 B. P(x)=x^4 – 4x^3 – 7x^2 +22x + 18

A. 17 C. –3 E. 5 I. 18 M. 3 N. 78 O. 2 O. 30 P. 6 R. 0

S. –6 T. 23

Guide question:

  1. How did you find the value of a polynomial expression P(x) at a given value of x?
  2. What message did you obtain? COMPASSION (Answered and verified) **B. Developmental Activities
  3. Activity** a) Presentation

 Complete the tree diagram. Therefore,

A. (1) (24) = 24

B. (2) (12) = 24

C. (3) (8) = 24

D. (4) (6) = 24

A. (1) (24)

x -2 -1 0 1 2

P(x) 2 17

message O A

x -2 -1 0 1 5

P(x) -6 18

message S I N

Daily Lesson Plan

Mathematics Department

S.Y 2019 - 2020

2. Analysis The teacher will show the division algorithm and let them identify the following:  Consider the division algorithm when the divisor is of the form x- r

P(x) = (x-r) Q(x) + R

Dividend Divisor Quotient Remainder Sometimes, the remainder when P(x) is divided by (x – r) is 0. This means that x – r is a factor of P(x). Equivalently, P(r) = 0. This idea is illustrated by the Factor Theorem.

3. Abstraction  The teacher will explain that: By the remainder Theorem, the remainder R is P(r), so we can substitute the P(r) for R. Thus P(x) = (x-r) Q(x) + P(r).  The teacher will explain that: The Factor Theorem - the polynomial P(x) has x-r as a factor if and only if P(r) = 0 Points to remember  if (x – r) is a factor of P(x), then P(r) = 0  if P(r) = 0, then (x – r) is a factor of P(x) 4. Application (Group Activity)

B. (2) (__)

C. (3) (__)

D. (4) (__)