Grade 8 - Ang Katamaran ngm ga Pilipino ni Dr. JoseRizal
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Technological University of the Philippine Ayala Boulevard, Ermita Manila Technology and Livelihood Education
A Semi – Detailed Lesson Plan in Mathematics
Date: November 28,2017 Time: 7:10 – 8:00 Grade and Section: 10
I.
OBJECTIVES
At the end of the lesson, 100% of the students with 85% proficiency proficiency wili be able to: 1. Distinguish that polynomials polynomial s form a system system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials . 2. Perform the tasks needed in order to use the steps in synthetic division as well as execute the skill by independent of help. 3. Apply a shortcut method for dividing a polynomial by a simple divisor of the form rather than long division process II.
SUBJECT MATTER
Topic: Synthetic Division Sub Topic: Synthetic Division of Polynomials Reference: Application and Analysis in Lesson Design by Katie Malevich/ EdSe 4501 pages 234-235 in the textbook
III.
PROCEDURE A. Daily Routine i. Prayer ii. Greetings iii. Checking of Attendance iv. Review of the past lesson
B. Lesson Proper i. Motivation
Before we start our lesson, I prepared here to reveal what is our topic. The game is called “Jumble Word “. You will assemble the words to guess, what is our topic all about? Answer: Synthetic Division
ii.
RAISE – UP QUESTION
1. What is Synthetic Division? 2. What are the Steps in Synthetic Division? 3. How does using synthetic division save time and effort?? iii.
LESSON PROPER
Synthetic division is an alternative to long division. It can also be used to divide a polynomial by a possible factor, x −k. However, synthetic division cannot be used to divide larger polynomials, like quadratics, into another polynomial. The Synthetic division is another way to divide a polynomial by the binomial and give the Following Steps. Step 1: Set up the synthetic division. Step 2: Bring down the leading coefficient to the bottom row. Step 3: Multiply c by the value just written on the bottom row. Step 4: Add the column created in step 3 Step 5: Repeat until done. iv.
APPLICATION
Give the students the second example (on the board or overhead) and have them try and solve it with their partners. v.
GENERALIZATION Students Learned Calculate without writing variables, it uses few calculations, and it takes significantly less space on paper than long division. Also, the subtractions in long division are converted to additions by switching the signs at the very beginning, preventing sign errors.
VI. EVALUATION
DIRECTION: DIRECT ION: Arrange the steps of hand and arm massage (A-E) 1. _____ Repeat until done. 2______ Bring down the leading coefficient to the bottom row. 3.______ Add the column created in step 3 4.______ Multiply c by the value just written on the bottom row 5______ Set up the synthetic division
Key to correction: 1. E 2. B
IV.
3. D 4. C 5. A
ASSIGNMENT
I. 1.
Follow-up Assignment What can you say about the Synthethic Method?
2.
Utilize either long division or synthetic division to solve the following problems problems What is quotient of 3x³ – 2x² + 3x – 4 and x – 3? Solve it and present the right solution.
II.
Advance Assignment 1. What is Ratio? 2. when uses the ratio?