DETAILED LESSON PLAN School Maligaya Elementary School Teacher Naga, Jennelyn DLF. Tangi, Kemberly Q. Dates Time Grade Level 6 Learning Area Mathematics Quarter Third Checked by Mr. John Luis Bantolino, LPT I. OBJECTIVES A. Content Standards B. Performance Standards C. Learning Competencies II. CONTENT III. LEARNING RESOURCES A. References A. Teacher’s Guide pages B. Learner’s Materials pages C. Textbook pages D. Additional Materials from Learning Resources (LR) portal B. Other Learning Resources IV.PROCEDURES A. Reviewing previous lesson or presenting the new lesson The learners should be able to demonstrate understanding of sequence in forming rules, expressions and equations. The learners should be able to apply knowledge of sequence, expressions and equations in mathematical problems and real-life situations. The learners should be able to differentiate expressions and equations. (M6AL-IIId-15) Differentiating Expression from Equation Mathematics 6, pp.12-17 Manila paper/Cartolina, marker, tapes and visual aids TEACHER’S ACTIVITY STUDENTS’ RESPONSE Everybody please stand up and let us pray. Jolena, kindly lead the prayer. (Students will stand up and pray.) Good morning class! Good morning Ms. Naga/Ms. Before you sit down, kindly arrange Tangi. your chairs and look at your surrounding. Check if there's a trash around you and put in the trashcan. Is it now clean class? (Students will arrange their chairs and pick up the pieces of papers) Yes ma’am. Very good. You may now sit down. Who is absent today? Kindly check your seatmate class. None ma'am Wow! Very good. There is no absent for today! Because of that, give yourself 5 claps. (1, 2, 3, 4, 5 claps) And now, who among you still remember our previous lesson? Yes, Our previous lesson Abeguil? "Formulating Rules Sequence". is for Good job, Abeguil. Our previous lesson is "Formulating Rules for Sequence". Andrea, can you give me the A sequence is a set of numbers definition of sequence? written in order by the application of a definite rule. Very good Andrea.Let's give 3 claps (Students will clap) for Andrea. Now, Geryldee, what do we call the The number in a sequence is number in sequence? called a term. Nice, Geryldee. It seems like you really remember our previous lesson, Yes ma'am. am I right? If that's the case then can you answer this sequence we have on the board. Find the nth term of the sequence below: 3,6,9..... Yes ma'am. I will give you 3 minutes to answer then I'll call someone who will answer on the board, is that clear? Yes ma'am. (After 3 minutes) Is everyone done? (The student will answer on the board and will explain the result Now, let's have Shaina to answer on after) the board on what is the nth term and we will have her explanation. 3,6,9,12 Yes ma'am. Shainna's answer for the nth term is 12. Is she right? Yes ma'am. Is everyone got correct? Very good everyone especially Shainna. Lets give good job clap for all of us. (Students will do Good Job Clap) That's a great, class. Now that I Yes ma'am. already knew that you understand our previous lesson, I have a question for everyone. Are you ready for our next topic? B. Establishing a purpose of the lesson Since everyone is ready for our new lesson, first I would like to ask Jolena and Abeguil to please stand up. (Jolena and Abeguil will stand up) Now, each one of you starting from the right side, tell me what's the difference between Jolena and Abeguil's appearance. (Students will say the difference between Jolena and Abeguil's appearance.) Good job everyone. Everything you have said are right. Jolena and Abeguil have their own characteristics that made them unique. That is also their identity. Actually, everyone of us have our own uniqueness, am I right? Yes ma'am. That's great. It is the same in some aspect in our subject, Mathematics. How?I have prepared here a data. Now, observe the given data or images on the board: Examples 1: + A. B. + = Examples 2: A. 2n - 6 B. 2n - 7 = 5 I have noticed that in the first given images and data on What have you noticed? May I know, examples 1 and 2, there's no Anna? equal sign while in the second group of image and data has an equal sign. Very good, Anna. We will notice that on the second group of image has an equal sign while there's no equal sign on the first group of image. Can we (The class will do 3 claps) give 3 claps for Anna. None ma'am. Is there any other observations? Okay, I will form you into 2 groups and you will be assigned to fix the jumbled letters I will give you. This side will be the group 1 and the left side will be the group 2. Group 1, this is your task and groups this is yours. You may now arrange the jumbled letters for 3 minutes. If you're done then just clap your hands and be quiet while waiting for other Yes ma'am. group to be finished on their task. Is that clear? (Students will start in their work) (After 3 minutes) Yes ma'am. Is every group done? EXPRESSION ma'am. Then can we ask group 1 on what they have got? EQUATION ma'am. Nice, group 1. How about group 2? Very good, group 2. Now you are going to paste those word you got below the data or image we have on the board which is for you depicts those words. Okay, lets check your answer. Group 1 placed the word "EXPRESSION" below the images on letter A under examples 1 and 2. Meanwhile the word "EQUATION" was placed by group 2 under letter B in examples 1 and 2. Do you think, both are placed accordingly? Okay ma'am. (Students will go to board and paste the words they got below the images or data.) Yes ma'am. Our topic for today is "Differentiating Expression from Equation". Because of that what do you think is our topic for today? Yes, Jerrel. Very good, Jerrel. Our topic for this Yes ma'am. day is about "Differentiating Expression from Equation." Are you ready for our new topic? That's nice, everyone. C. Presenting Examples / instances of the new lesson Now, let's us know first the definition of expression. Kindly read, Maelord. An expression is a combination of numbers and variables combined by mathematical operations or Thank you, Maelord. Again, symbols. expression is a combination of numbers and variables combined by mathematical operations or symbols. Therefore it is a mathematical phrase. We all know that a phrase is not complete in ideas and only a combination of words or in here, numbers and variables. The next one. Kindly read Rica Mae? An expression has no equal sign. There is no definite answer and cannot end up displaying the value of variables involved. Nice, Rica Mae. Let us repeat, an expression has no equal sign. There is no definite answer and cannot end up displaying the value of variables involved. Simply , in expression we will not see an equal sign. Remember that, okay? Yes, ma'am. Very good. Now let us have the examples of expression. Everyone please read aloud. Examples of Expression: 1. 2. 3. 4. 5. 6. 2n – 6 8y - 5 8+7 20 ÷ 5 x 12 10 + 3 x 4 2b x 9 Thank you everyone. What have you noticed to the examples, Abeguil. There's no equal sign ma'am. Nice observation Abeguil. If there's no equal sign then that is an expression. Remember that class. Yes ma'am. One by one from the left side, can you give me an example of expression. Yes ma'am. (Students will provide an example of expressions.) Very good. Give yourself 3 claps. (Students will do 3 claps.) D. Discussing new concepts and practicing new skills #1 An expression is consists of letters and numbers. Did you notice that? Yes ma'am. Great. Because now we are going to tackle the parts of expression. PARTS OF EXPRESSION Variable – is any letter or symbol that represents the letter. Coefficient- is a constant value used with a variable. Constant- is a fixed value that does not change. Term- is a number or variable. A product or quotient of a number and variables separated by plus (+) or minus (-) sign. Kindly read the first one, Maelord. Variable is any letter or symbol that represents the value of a letter. Thank you Maelord. How about the next one, Jerrel. Coefficient is a constant value used with a variable. Nice, Jerrel. The other one, Rica Mae. Constant is a fixed value that does not change. Great, Rica Mae. The next one, kindly read Mary Lord. Term is a number or variable. A product or quotient of a number and variables separated by plus (+) or minus (-) sign. Very good, Mary Lord. Again, we have parts of expressions which are the variables, coefficient, constant and term. In addition we also have an operation used in expression such as addition, subtraction, multiplication and division which separate the terms. Let's have this one. Who can tell me what part of expression is 3 and 5. Yes, Jolena can you explain too please. 3 and 5 are coefficients ma'am because they are constant values used with a variable. Very good, Jolena. 3 and 5 are coefficients. Just remember that the coefficients are simply those numbers which are with letters. Yes ma'am. Okay? Shainna, what part of expression are X and y are variables ma'am x and y on the given? because they are letters that represent a value. Great, Shainna. The letters in expression are what we called variables that's why x and y from the given on the board are both variables. The 9 from the given is the Next, what is 9 from the given, constant. It is because it's a fixed Andrea. value that does not change. Good, Andrea. The 9 from the given is the constant because it is fixed, does not change and simply for everyone not be confused with the coefficients and constant, the coefficients are the numbers with letters or variables meanwhile the constant is just a number. For example, 9x + 8 9 is the coefficient because it is Yes, ma'am. together with the variable which is x. Then 8 is the constant because it is a fixed value and is not with any variables. Am I clear? The terms from the expression are 3x, 5y and 9 because the term Very good, class. Maelord, can you is any numbers or letters which tell me which is/are the term/s from are separated by an operation. the given expression? Very well said, Maelord. It seems like Yes ma'am. you are not confused with the terminologies and parts of expressions as you can clearly identify (Students will do 5 claps) in which part is the letter or number in an expression, right? Because of that, give yourself 5 claps. E. Discussing new concepts and practicing new skills #2 Now let's have the definition of Equation. Kindly read, Mary Lord. An equation is a mathematical sentence formed by placing an equal sign (=) between two Thank you Mary Lord. I'll repeat, an expressions. equation is a mathematical sentence formed by placing an equal sign (=) between two expressions. Therefore, when we noticed an equal sign then that is an equation. And as we say, it is a mathematical sentence because a sentence in english has complete ideas or thoughts. Then equation has complete ideas. How? It is because of the equal sign that portrays the result or answer. Is that clear? Yes ma'am. Okay now, everyone can you please read aloud the examples of equations. EXAMPLES OF EQUATION: 1. 2. 3. 4. 5. 6. 2n – 6 = 4 3y = 15 45 + 5 = 50 52 = 25 2 + (2x5) = 12 10 + 7 – 2(3) = 11 Thank you, class. Now, just like on the expression, can you give me an example of equation? One by one from the right side. (Students will give an example of equation one by one.) F. Developing mastery (Leads to Formative Assessment) Good job, everyone. You definitely know the difference between expression and equation. Because of that you will not be confused with the two once you encountered them Yes ma'am. again, am I right? (Students will do Good Job clap) Very good! Give yourself Good Job clap. To know if you will not be confused with equations and expressions, get your notebook and let's have an activity for 5 minutes. ACTIVITY 1: DIRECTION: In your notebook, determine which of the following are expressions and which are equations by writing it in the proper column. EXPRESSION GIVEN: (15-10) + 13 4 x 10 = 40 EQUATION 3x – 2x 12y = 108 15 x 6 = n 5n + 8 = 43 120 ÷ 10 x 5 = n 10 – a 75 + (100 – 23) 53 - 23 In your notebook, determine Jerrel, can you please read the which of the following are direction first. expressions and which are equations by writing it in the proper column. Okay, thank you Jerrel. I will repeat. In your notebook, determine which of the following are expressions and which are equations by writing it in the proper column.Is that clear, class? Do you have any question? Yes ma'am. None ma'am. Okay if none. You can now work quietly on your activity for 5 minutes only.If there's any question, you can raise your hand and I will answer it, am Yes ma'am. I clear? Okay. Start answering. (After 5 minutes) Is everyone done? Yes ma'am. Okay, exchange your notebook. I will call on names who will answer on the board. So just raise your hand silently (Students will raise their hand and the teacher will call names of for me to call you. students who will answer on the board.) ANSWER: EXPRESSION EQUATION (15-10) + 13 4 x 10 = 40 3x – 2x 12y = 108 10 – a 15 x 6 = n 75 + (100 – 23) 5n + 8 = 43 53 - 23 120 ÷ 10 x 5 = n Now, give back the notebook to the owner. Who got 10? 9? 8? 7? 6? 5? 4? 3? 2? 1? 0? (Students will raise their hand according to their scores.) Good job everyone. Let us give Good Job clap to each one of us. (Students will do Good Job clap) G. Finding practical applications of concepts and skills in daily living I know that all of you really understand our topic for today, that's why I will group you into two (2).Now, count 1 to 2 from the right side. (Students will count) Go to your groupmates and I will tell your tasks. (Students will got groupmates) Are you in your group now? Nice. So this is the group task. o their Yes ma'am. ACTIVITY 2: DIRECTION: For 10 minutes, answer the following: I. Give 5 examples of expressions and identify the parts of expressions. II. Give 5 examples of equations and identify the parts of expressions. For group 1, you are going to list down 5 examples of expressions while the group 2 is assigned to provide 5 examples of equations. Is that clear? Again, if you have any questions regarding the activity, just raise your hand and I will be the one to answer it. Okay? Yes ma'am. Yes ma'am. Good. If there's no questions then you may start doing the activity. You only have 10 minutes to do it and once you are finish just clap your hands and keep quiet. (Students will answer with their group) (After 10 minutes) (Students will clap their hands.) Is everyone finished? Yes ma'am. Okay, paste your work on the board. Leaders kindly list down the name of the members and choose a reporter for your group. Let's start with group 1 and will be followed by group 2. (Each groups will present their work and will be given Good Job claps) Is it now clear class? Yes ma'am. H. Making generalizations and abstractions about the lesson If it is really clear. What do you have learned, Shainna. I have learned the differences between expression and Okay, Shainna said that there's a equations. difference between expression and equation. How do they differ, Jolena? Very good, Geryldee. Jolena. What Expression is a combination of numbers and variables combined by mathematical operations or symbols while equation is a mathematical sentence formed else, by placing an equal sign (=) between two expressions. Expression has no equal sign Good job, Geryldee. An expression has while equation has. no equal sign while in equation we can see it. Now can you give me an example of expression? Yes, Abeguil. (Abeguil will give an example of expression.) Very good, Abeguil. How about an example of equation, Anna. (Anna will give an example of equation.) Nice job, Anna. It seems like you are not confused between equations and expressions, am I right? Yes ma'am. Because of that. Give yourself 5 claps. (Students will do 5 claps) I. Evaluating learning To truly assure that you are bot confused with expression and equation,let us have a game. Are you ready? Yes ma'am. Okay, if that so. Listen to the instruction. What do you see on the two sides of On the left there's a word the board? equation and expression on the right side of the board ma'am. Very good. We have words expression and equation. Now you are going to go in either side whether the thing I will paste on the board is an equation or expression. For example, I showed or pasted 2x + 3. In which side will you go, Expression's side ma'am. expression or equation's side? Yes, that's right. You will go to expression's side as 2x + 3 is an None ma'am. expression. Is there any questions? If none. Let's start the game. GIVEN: 30 – 4 + 6 25 x 5 = n N = 4 (35 x 5) (12)2 = 144 3n + (5n x 2) 11 x 19 5 (9 + n) = 50 14 + 23 36 ÷ 4 = 9 N+7=8+6 ANSWERS: Expression Equation Equation Equation Expression Expression Equation Expression Equation Equation (Student/s who will get the answers or will be left after 10 examples provided will be rewarded.) J. Additional activities for application or remediation For your homework write this in your notebook. ASSIGNMENT: Answer the following notebook. on your I. Complete the table below: Word Problem Numerica l Expressi on/Equati on Write Expressio n or Equation 1. Krystel is 15 years old. Her father is 10 years more than twice her age. 2. Jose weighs 25 kilograms. His uncle weighs thrice as Jose’s weight. II. Complete the equation by supplying the missing number in each item. 3. 25 = 14 + 1 4. 4 • = 8 5. 2 + 2 + 2 = 3 x Are you done assignment, class.? Yes ma'am. copying your Kindly read our homework, Jolena. Okay thank you Jolena. I will repeat, your homework is answer the following on your notebook. On the first part,you are going to complete the table given.We have the word problem in which you are going to Answer the following on your notebook. First part,complete the table below.For the second part, complete the equation by supplying the missing number in each item. convery it into an expression or equation then on the last column you will identify whether it is an equator expression. For the second part,you Yes ma’am. will complete the equation by supplying the missing number in each item. Do you understand? Yes ma'am. Do not forget your assignment class, None ma’am. okay? And be ready for tomorrow’s recitation. Do you have questions? Clarifications ? Thank you and goodbye Ms. If you’re done and you do not have any Naga/Ms. Tangi, see you concerns, you may now stand up. tomorrow. Goodbye class. I will tomorrow. Go home safe. see you