LESSON PLAN IN MATHEMATICS Properties of number I. Objectives At the end of the lesson, the student will be able to: a. Differentiate the terms of polynomials. b. Solve the sum and difference of the polynomials. c. Appreciate the use of addition and subtraction of polynomials in real life situation. II. a. b. c. Subject Matters Topic: Add and Subtract polynomial References: Mathisfun.com Materials: Laptop, Power point presentation , Study Smarter III. Procedure Teacher’s Activity A. Daily Routine 1. Prayer “Before we start, please all stand and let us have a short prayer” Learner’s Activity (The student will all stand) “____ , please lead the prayer” “Yes Sir, are you ready to pray classmate?” “Yes we are” (Classmate) 2. Greetings “Good morning, Grade 7- Love” “Good morning Sir Jom” 3. Checking of Cleanliness and Orderliness “Before you sit, please pick up the pieces of paper under you chair and table. Also arrange your chair properly” (The student will pick up the pieces of paper under their chair and table. They also arrange their chair properly) “You may sit now” “Thank you Sir” 4. Checking of Attendance “Do we have absentees for today? Can i have the list of those absent” “Thank you” “Yes Sir” 5. Review “Okay, before we proceed to the next topic, let us recall first what we have discussed yesterday. Anyone?” (Raising their hands) “Arranging real numbers in increasing or decreasing order” “Yes, ____?” “Very good, ___” “Example 81, 97, 123, 137 and 201 are arranged in ascending or increasing order” “Can you give an example?” “Correct, Another example” B. Motivation In our motivation will be using a Study Smarter for an Instructional Material. This IMS will show some flashcards that’s have an equation about polynomials and each of you will answer it. “Example 187, 121, 117, 103 and 99 are arranged in descending or decreasing order” “Yes Sir” “Are you ready class?” “15cats and 6 dogs” (flashing the cards) “Jack has 8 cats and 2 dogs. Jill has 7 cats and 4 dogs. How many dogs and cats are there in all?” “That’s correct, next question” (flashing the cards) “Rhonda has 12 apples, Douglas has 6 apple but Rhonda has a twice of number of orange as Berta. Bertha has 3 orange. How many apple and orange that they have?” “Excellent, last question before we proceed to our lesson“ (flashing the cards) “18 apples and 9 orange” “Jack has 7 cupcake and he give the 3 to his friend while Fred has a 5 ice cream and Linda give her another 2 ice cream. How many cupcake and ice cream left? “4 cupcake and 7 ice cream” “Good job!” C. Discussion “Let’s proceed now to our topic which is adding and subtracting polynomial” “A polynomial looks like this” “To add polynomials we simply add any like terms together” “Like terms are terms that have the same variable and power. In order words, terms that are like each other.” “We have two steps to add polynomials, first is to place the like terms together and second is add the like terms” For example add the polynomials 2x + 6x + 5 and 3x – 2x – 1 Start with: 2x + 6x + 5 and 3x – 2x – 1 Place like terms: 2x + 6x + 3x – 2x + 5 –1 Which is: (2+6+3-2)x + (5-1) Add the like terms: 9x + 4 “Did you get it class?” “I will give an example of polynomial and try to add it. Example 4x + 5x + 1 and 3x – 2x +2 is equal to?” “Yes Sir” “(4x + 5x + 3x – 2x) + (1 + 2) = 10x + 3” “Very good” “Next is subtracting polynomials, To subtract polynomials first reverse the sign of each term we are subtracting (in other words turns + into – and – into + ) then add as usual” For example: (5𝑦 2 + 2xy – 9 ) – (2𝑦 2 + 2𝑥𝑦 − 3 ) 5𝑦 2 + 2xy – 9 – 2𝑦 2 + 2𝑥𝑦 − 3 Turns the + to – 5𝑦 2 + 2xy – 9 – 2𝑦 2 − 2𝑥𝑦 + 3 Then add : 3𝑦 2 + 0 − 6 Final answer : 3𝑦 2 − 6 “Did you get it class?” “I will give another example and one of you will answer the problem” “ (5𝑥𝑦 2 + 7𝑦 − 3) − (2𝑥𝑦 2 + 4𝑦 − 5) answer this question “ “Good job, _____” “Do you have question or clarification about our topic for today? I think it’s none. Thank you class see you next meeting. Goodbye class” D. Past Lesson Paper 1. Generalization “Again, What is our topic?” “Yes, _____?) “That’s correct, how do we add polynomials class?” “Yes Sir” - 5𝑥𝑦 2 + 7𝑦 − 3 2𝑥𝑦 2 + 4𝑦 − 5 Turns the + into – 5𝑥𝑦 2 + 7𝑦 − 3 - 2𝑥𝑦 2 − 4𝑦 + 5 3𝑥𝑦 2 + 3𝑦 + 2 “Thank you Sir and Goodbye” (Raising their hands) “Sir, our topic for today is all about Add and Subtract polynomials” “first is to place the like terms together and second is add the like terms” “first reverse the sign of each term we are subtracting (in other words turns + into – and – into + ) then add as usual” “How about in subtracting polynomials?” “Very good class, I hope you already understood our lesson for today” 2. Application In one whole sheet of paper Add or Subtract the given polynomials. Show your solution. (5𝑥 2 − 3) + (2𝑥 2 − 5) I. II. (4 + 2𝑥 2 ) + (5𝑥 2 − 2) III. (2𝑥 4 − 3𝑥) − (𝑥 4 − 6𝑥) IV. (12𝑥𝑦 2 + 7𝑥 − 2) + (2𝑥𝑦 2 + 2𝑥 + 4) V. (7yz 5 − 𝑥) − (3𝑦𝑧 5 − 4) 3. Evaluation Simplify the expression by combining like terms and solve the polynomials. 7𝑥 5 + 2𝑥 2 − 3𝑥 2 + 3 − 𝑥 5 4. Assignment For your assignment, try to answer this following polynomial in a one whole sheet of paper. 1. (𝑥 2 + 7𝑥 + 9) + (4𝑥 7 + 5𝑥 2 + 8) 2. (𝑥 5 + 4) + (−𝑥 7 + 7𝑥 + 1) 3. (4𝑥 4 − 7𝑥 2 + 7) − (2𝑥 2 + 5𝑥 + 8)