Detailed Lesson Plan on Laws of Exponent I. LEARNING OBJECTIVES At the end of the learning period, learner expected to: • Define the term exponent. • List the rules and properties of exponents. • Demonstrate the ability to use the properties of exponents. II. LEARNING PROCEDURE Teacher’s Activity Learner’s Activity Preliminary Activity a. Prayer Before we start, let us bow our head and feel the presence of God. In the name of the Father, of the Son and the Holy Spirit… b. Greetings Good morning, class! Good morning, Ma’am. Before you sit, please pick up the pieces of paper and arrange your chair properly. You may now take your sit. c. Checking Attendance Class secretary, please check the attendance. d. Review Before we start with our discussion, who can give me a short recap about the lesson last meeting? Yes, Xean? Yes, that’s correct. Thank you. e. Ma’am. Last meeting, we discussed about the… Motivation Today, we will have an activity. It is a question-and-answer drill. We will call this activity " Game ka na ba?" For the mechanics of the game, it would be girls vs. boys. Listen. So as was I'm saying I have here questions that I prepare. You will need to answer the questions correctly. The first who raise their hand will have a chance to answer. And if it is correct your group will have 1 point and if you answer it wrong the other group will have a chance to answer. I will also give you 3 powers which every power can help you to have score. The first is power to call a friend. If you don't know the answer you can ask your group mates for the answer. 2nd is power to substitution. You have a chance to change the player. 3rd power would be power to block. You have a chance to block the other group so that they cannot answer the question. You can use all the powers once. Do you understand? Yes Ma’am! Game ka na ba? Game na. Okay! Let’s start the game. Term to answer: 1) 29 × 2 × 3 ÷ 2 = 2) 100 ÷ 2 × 3 = 3) 128 + 28 − 2 = 4) 588 ÷ 4 × 0 = Congratulations girls. You did it well. Great use of your powers. And also, good job to the boys. Maybe in the next activity you win. Developmental Activity A. Activity Complete Me! Direction: Complete the missing letters to identify the laws of exponents. Refer your answer in the given laws inside the box. 1) 2) 3) 4) 87 150 154 0 1. 2. 3. 4. 5. 6. _EG_ _IVE EXP_ _ _NT R_ _E Z_R_ P_ _E_ R_L_ P_ _ _R OF P_ _D_CT R_LE P_W_R OF Q_ _TI_NT _UL_ P_WE_ OF PO_ _R R_ _E PR_ _ _CT OF P_ _ _R R_ _ _S Power of Product Rule Negative Exponent Rule Zero Power Rule 1. 2. 3. 4. 5. 6. Negative Exponent Rule Zero Power Rule Power of Product Rule Power of Quotient Rule Power of Power Rule Product of Power Rules Power of Power Rule Power of Quotient Rule Product of Power Rules I need seven (7) students, who will answer the activity. So, who can answer? Ma’am. Thank you for your active participation, I hope you've learned from the activity because it has something to do with our discussion later. B. Analysis So, how did you find the activity? Ma’am. Yes, Jack. I find the activity easy since we just complete the missing letter to identify the words. What do you think is the relation of our activity to our discussion, Gab? Ma’am based on the activity, I think our lesson for today is all about exponent? Very good, Gab. So today, as a continuation with our discussion, we will discuss the Laws of Exponent. At this juncture, let us know our objectives. Margie, kindly read the objectives? At the end of the learning period, learner expected to: • Define the term exponent; • List the rules and properties of exponents; • Demonstrate the ability to use the properties of exponents. Thank you, Margie. C. Abstraction For today's lesson, I am going to discuss to you the Laws of Exponents. So, first let me introduce to you what is Exponent? Exponent is a symbol above and to the right of mathematical expression to indicate the operation of raising to a power. 25 Exponent Base 2×2×2×2×2 4×2×2×2 8×2×2 16 × 2 = ππ And now, let us proceed to Laws of Exponents. βͺ Product rule: ππ β ππ = ππ+π Copy the Base and Add the Exponent. 1. 32 × 32 = 32+2 = 34 = ππ 2. π₯ 4 β π₯ 5 = π₯ 4+5 = ππ What we are going to do in the product rule? Yes, Maricris? Copy the Base and Add the Exponent. ππ βͺ Quotient Rule: π = ππ−π π Copy the Base and Subtract the Exponent. 1. π₯5 = π₯ 5−3 = π₯ 2 π₯3 8π10 π6 2. = 4π10−5 π 6−5 = 4π5 π 2π5 π5 What we are going to do in the quotient rule? Yes, Edward? βͺ Power rule: (ππ ) π = πππ Copy the Base and multiply the Exponent. Copy the Base and Subtract the Exponent. 1. 2. (π₯ 5 )2 = π₯ 5β2 = πππ (23 )2 = 23β2 = 26 = ππ What we are going to do in the power rule? Yes, Rica? βͺ Power of a product: (ππ)π = ππ ππ Distribute the exponent. 1. (π₯ 5 π¦)3 = π₯ 5β3 π¦1β3 = πππ ππ 2. (4π 2 π 4 )2 = 41β2 π 2β2 π 4β2 = 42 π 4 π 8 = 16π 4 π 8 What we are going to do in the power of a product rule? Yes, Jane? Copy the Base and Multiply the Exponent. Distribute the exponent βͺ Zero Exponent Rule: ππ = π Any number that is raised to zero is 1 1. 50 = π 2. 12π₯ 0 = 12 β 1 = ππ βͺ Negative Exponent Rule: π−π = 1. 7−1 = 2. π₯ −5 = π π ππ π π ππ Did you understand class? Yes, Ma’am. Very good everyone. D. Generalization To sum up the overall discussion for today, when we say exponent, it is also known as? Exponent is also known as the power. It is located at the upper right of the mathematical expression. What would be the function of exponent? What will happen to the based? What are the laws of exponent? Exponent are the values that indicates the number of times we multiply the based by itself. Negative Exponent Rule Zero Power Rule Power of Product Rule Power of Quotient Rule Power of Power Rule Product of Power Rules Very good, class! E. Application Simplify each expression. 1. π4 β π3 2. π₯ 3 β π₯ 4 β π₯ 3. 2−4 4. 5. Expected answers: 1. π4+3 = π7 2. π₯ 3+4+1 = π₯ 8 1 1 3. = 24 16 4. 2π₯ 2−1 π¦ 3−1 = 2π₯π¦ 2 5. 1 6π₯ 2 π¦ 3 3π₯π¦ (124π₯ 4 )0 III. Evaluation Find me! Directions: Evaluate the expressions below. Match the expressions in Column A to the answer in Column B. Write only the letter on your answer sheet. 1. 2. 3. 4. 5. A π₯5 β π₯6 π₯π¦ 2 π§ 3 β π₯π¦π§ β π₯ 2 π¦ 3 π§ 4 12π5 π8 3π3 π5 (121π5 ππ)0 (π₯ 5 )5 a. b. c. d. e. B π₯ 25 4π2 π 3 π₯ 4π¦6 π§8 π₯11 1 IV. Assignment Make at least 5 expressions that shows the different laws of exponent and simplify each. So that’s all for today. Any clarification? Question? Thank you, class. You are dismissed. Answers: 1. D 2. C 3. B 4. E 5. A
