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Detailed Lesson Plan in Mathematics IV Integrated with Values Education I. Learning Objectives After a 60-minute lesson, pupils are expected to: 1. find the perimeter of rectangle, 2. derive a formula for the perimeter of rectangle, 3. measure the perimeter of rectangle, 4. appreciate the importance of preserving endangered species. Preservation of Endangered Species II. Subject Matter Topic: Perimeter of Rectangle. Important Concepts To find the perimeter of rectangle, add the length of its sides or P = S1 + S2 + S3 + S4. To simplify the formula, just add the length and the width then multiply by 2 or simply P = 2(L + W). References Grade School Mathematics IV T.X., p. 206 Interactive Mathematics IV, pp. 284-286 Lesson Guide in Mathematics IV, pp. 305-309 http://www.mathgoodies.com/lessons/vol1/perimeter.html Materials: real objects, flash cards, charts, illustrations, improvise whiteboard, marker, tape measure, ruler, name box, television, DVD player and video clip. III. Teaching Strategy Teacher’s Activity Pupils’ Activity A. Preparation 1. Performing Routinary Activities 1.1 Greeting 1.2 Singing 1.3 Checking of Attendance 2. Drill Before we discuss our lesson for today, I prepared an activity. I have 10 + 9 = here cake on the board having 7X8= equations written on each layer. Beside the cake are balloons and 7+9= inside the balloons are the answers to these equations. Using toothpick, you are going to pop the balloons then match the answers to these equations. Is the directions clear? Yes, it is. To make it more exciting, we will do the activity in the form of a game. I will divide the class into two groups (the teacher will divide the class into two groups).Now, I need 5 representatives for each group. (The pupils will choose their representatives ) (The teacher will ask the representatives of each group to form a straight line on the center aisle of the classroom) (The pupils will form a line). The group that will get most number of points will be the winner but if both groups get the same points, the group that will finish first will be the winner. Is it clear? Let’s start with the game. Yes, it is. (The pupils will do the activity). 3. Review What was our lesson yesterday? Yes, Rammil. Our lesson yesterday was about finding the perimeter of square and rhombus. Right! For me to be able to know if you really understood our lesson about finding the perimeter of square and rhombus, I prepared here another game. This game is called Bring Me. Having the same group, I will pick a name on the name box to know who will be the player for each group. I need one representative for each group every round. The player who can bring me the thing that I’m looking for first gets the chance to pick a card at the back of the jeep and solve for the perimeter of the figure shown on it in five seconds. I have here puzzles for each group. Each group need to answer three items correctly to solve the puzzle. The group that will finish first the puzzle will be the winner. Is that clear? Yes, that is. If that so, let’s start with the game. (The pupils will start the game). 6 cm 8cm 9 cm 10 cm It seems that you really understood our last topic but since group I finished first the activity, they are the winner so let’s give them a congratulation clap. (The pupils will do the congratulations clap). Good job group I. 4. Motivation Do you want to watch a video clip? I have here a video clip but before watching it, let us be reminded about the things we need to consider in watching. Will you give the standards for watching a video clip? Jasmin. The standards for watching a video are: 1. Sit properly. 2. Keep quiet. 3. Don’t chat with your seatmates. 4. Focus your eyes and ears in the video. Thank you, Jasmin. (The teacher will play the video clip on how to make a rectangular box). (The pupils will watch the video clip) Did you enjoy watching the video? Yes, we did. What does the boy did on the video clip? Yes, John Mark. The boy on the video clip did a box. Nice watching! What is the shape of the box on the video clip? Yes, john Derrick. The box is rectangular in shape. Very good. B. B. Developmental Activities 1. Introduction I have here a rectangular box bigger than what is in the video clip. Who wants to come here in front and open the box to know what is inside? Yes, Mark Reynan. (Mark Reynan will open the box finding out that nothing is written on the strip of cartolina inside the box). Thank you! Nothing is written on it! Do you want to see magic? Yes, we want. (The teacher will wipe a piece of Perimeter of Rectangle cloth on the strip of cartolina). Our topic for today is about Perimeter of Rectangle. Again, what is our topic for today? Margielyn. Our topic for today is about Perimeter of Rectangle. Have you seen a forest? Yes, we have. What are the things do we usually see in a forest? Yes, Margielyn. We usually see a lot of trees in a forest. I have here Mr. Tree from the famous national park. Mr. Tree has a problem and he doesn’t know how to solve his problem. Do you want to help him? Will you read the problem on the Yes, we want. board, Jelyn? The forest of a famous National Park which is a rectangular in shape has one side measuring 9 km and the other side measuring 5 km. How many km of fencing are needed to preserve the hundreds of endangered species of wild flower and animals? Thank you. Ok, let’s analyze the problem of Mr. Tree. What is the shape of the famous National Park? Yes, John Derick. The shape of the National Park is rectangle. Correct. Will you draw the shape of the famous National Park on the board, Ronny? Nice drawing Ronny! Based on our previous topic, how many sides does a rectangle have? Yes, cherry Mae. Right! How many pairs of parallel sides Rectangle has four sides. . are there in a rectangle? Mary Rose. There are two pairs of parallel sides in a rectangle. Correct! Who wants to come here in front and put marks on the longer pair of parallel sides? Yes, Camille. Nice! What do we call the longer sides of the rectangle? Yes, Laura. The longer side of the rectangle is called length. Good. How many lengths does a rectangle have? Yes Marvic. Rectangle has 2 lengths. Correct! (The teacher will label the lengths as L1 and L2). Who wants to come here in front to put marks on the shorter sides of this rectangle? Ok, Mary Rose. Nice! What do we call the shorter side of the rectangle? Will you try, Princess? The shorter side of the rectangle is called width. Right! How many widths does a rectangle have? Yes, Kenneth. Rectangle has two widths. Right! (The teacher will label the widths as W1 and W2). Going back with the problem, what is asked in the problem? Yes, Nicole. How many km of fencing are needed to preserve the hundreds of species of wild flowers? Very well said. I have here the illustration of the national park. (The teacher will post the illustration on the board). What are we going to do to solve the problem? What’s your idea, Jasmin? We need to get the total distance around the national park. Precisely! Will you repeat Jasmin’s answer, john Kina? We need to get the total distance around the national park. Thank you. What do we call the distance around a polygon? Perimeter is the distance around a polygon. Right! How do we find the perimeter of a polygon? Yes, Gina. To find the perimeter of a polygon, just add the measures of its sides. Very good! Is rectangle a polygon? Yes, it is. If rectangle is a polygon, how do get the perimeter of the rectangle? To find the perimeter of a polygon, just add the measures of its sides. Exactly! Using the symbol L1, L2, W1 and W2, will you write the mathematical or the number sentence on how to find the perimeter of this rectangle? Angela. Very good! (The teacher will post a chart and ask P = L1 + L2 + W1 + W2 the pupils to read it). To find the perimeter of rectangle, add the measures of its sides or P = S1 + S2 + S3 + S4. What are the given facts in the problem? Yes, Vic Denver. The given facts in the problem are the length of the national park which is 9 km and its width which is 5 km. Very well said! Where do we put nine km? Yes, Angela. We put nine km on the lengths. Good. Why do we put 9 km on the length not on the width? Yes, Rubylyn. We put 9 km on the length because it is longer than 6 and length is longer than the width. Excellent! Now, Using the formula, who wants to solve for the perimeter of the rectangular park on the board? Will you try, Claudine? (Ask the pupils to solve on their seats). P = L1+L2+W1+W2 = 9+9+5+5 = 18 + 10 = 28 km. Who among you have the same answer with Claudine? (The pupils having the same answer with Claudine will raise their hands). Those who have the same answer with Claudine are also correct because the perimeter of the park is 28 km. Good job Claudine and for those who got correct answer. Give yourself an “Ang galing- galing ko” clap. Ang galing- galing ko clap begin. (The pupils will do the “Ang galling-galing ko” clap). But during my elementary days, I’m having a hard time to memorize the formula P =L1+L1+W1+W2 because it’s quite long. Do you want us to simplify this formula? Yes, we want. Let’s divide our first formula into three. Who wants to come here in front and box the lengths on the formula? Yes, Mary Rose. P= L1 + L2 + W1 + W2 Thank you! How many lengths does a rectangle have? Yes, Joemari. Rectangle has 2 lengths. Alright! Are (L1 + L2) and (2 x L) the same? Yes, they are. Who wants to come here in front and box the widths? P= L1 + L2 + W1 + W2 Thank you! How many widths does a rectangle have? Yes, Jelyn. Rectangle has 2 widths. That’s right! Are (W1 + W2) and (2 X W) the same? Yes, they are. What operation is in the middle of the first formula? John Mark. The operation use is addition. Correct! What do we have now? Kenneth. Thank you. Using factorization, let’s move the common factors outside the parenthesis. What do these factors have in We have P = (2xL + 2xW). common? Mark Jayson Both factors have 2. Good! So let’s write 2 outside the parenthesis. P = 2(xL + xW) Aside from 2, what else do these factors have in common? Yes, Marvic. Both factors have multiplication sign. Nice observation! Let’s write also the multiplication sign outside the parenthesis. P = 2x(L + W) This is now the simplified formula on how to find the perimeter of rectangle. Based on the derived formula, how do we get the perimeter of rectangle? Yes, Angelica. To find the perimeter of rectangle, add the length and the width then multiply by 2. Excellent! (The teacher will post a chart and ask the pupils to read it). To simplify the formula, just add the length and the width then multiply by 2 or simply P = 2(L + W). To what we are referring this 2. Yes, Danica. That 2 is referring to the number of lengths and widths. Very good. Is the number of length and width of rectangle changes? No, it’s not. So, this 2 is constant. Now, Using the formula P = 2x (L+W), Who wants to solve for the perimeter of the national park on the board? Will you try, Angelica? P= 2x(L+W) = 2x(9+5) = 2x14 = 28 km. Excellent! Do we have the same answer with our answer awhile ago using the first formula? Yes, we do. If the perimeter of the rectangular park is 28 km, how long of fencing do we need to cover the national park? Yes, Marlon. We need 28 km of fencing to cover the national park. Correct! Why do we need to cover the national park? Yes, Margielyn. To preserve the endangered species of wild flowers and animals. Exactly! Do we need to preserve those kinds of species? Why? Yes, we do. (The pupils will give their ideas why we need to preserve those endangered species of wild flowers and animals). I have here a puzzle pieces and I need a volunteer to connect each pieces to form a plane figure. Who wants to solve the puzzle? Will you try, Joemari? 15 cm 25 cm What plane figure was formed? Yes Ronny. That plane figure is a rectangle. Correct! Now, I need 2 pupils to solve for the perimeter of this rectangle using the first and the second formula. (The teacher will pick names on the name box and ask the pupils to solve on their seats). Using the formula P= S1+S2+S3+S4 =25+25+15+15 =50+30 =80cm. Using the formula P= 2(L + W) = 2(25+15) = 2 x 40 = 80cm. Very Good! 2. Fixing Skill I have here some cutouts of rectangle. As I show you a cutout, you are going to solve for its perimeter on your show me board. I will give you 30 seconds to solve for each item. After 30 seconds, you are going to show me your answer to check if it is correct. Is that clear? Yes it is. 6 cm 4cm. 9m 3cm 3.Generalization Let me see if you really understood our lesson for today. Again, what was the topic that we have discussed today? Yes, Angelica. The topic that we have discussed today was about perimeter of rectangle. That’s right! How do we find get the perimeter of a rectangle? Ok, Jelyn. To find the perimeter of a rectangle, just add the length of its sides or P= S1+S2+S3+S4. Very well said! What is the simplified formula in finding the perimeter of a rectangle? Jasmin. The simplified formula in finding the perimeter of rectangle is P = 2(L + W). Very good! C. Appilcation Directions: Solve for the perimeter of the following real objects in centimeter. Report the result in the class after 5 minutes. Group I- Book Group- Top of the table Group-III- Hand Towel Group-IV- box IV. Evaluation Directions: Find the perimeter of the following rectangles. 1. 4 cm 2. 6cm 2cm 4cm 4 3. 11cm 4. 5cm. 9cm 5. 12 cm 7cm 4cm V. Assignment Directions: Solve the following word problems. 1. Thelma’s backyard is rectangular in shape. It has 9m long and 7m wide. What is the perimeter of her backyard? 2. The community park of Villa Cuizon is rectangular in shape. It has a length of 3,200 m and a width of 487m, find its perimeter. Semi-detailed Lesson Plan in Mathematics IV Integrated with Values Education I. Objectives: Identify the parts of a quadrilateral. Construct quadrilaterals. Realize the importance of following directions correctly. Following Directions II. Subject Matter Topic: Identifying the parts of a Quadrilaterals References: Grade School Mathematics IV, T.X., p. 190 Interactive Mathematics IV, pp. 255-256 Lesson Guide in Mathematics IV, pp. 276-280 Materials: charts, illustration, crayons, bond paper, puzzle pieces, cut outs, video clip, television and player. III. Teaching Strategy A. Preparatory Activities 1. Drill Directions: Pick a quadrilateral on the tree and match it to its proper name. 1. Rhombus- 2. Rectangle- 3. Square- 4. Trapezoid- Parallelogram - 2. Review Directions: Connect the puzzle pieces to form a triangle and identify it if it is an equilateral, scalene or isosceles triangle. Equilateral Scalene Isosceles 3. Motivation Play a video clip about quadrilaterals. B. Developmental Activities 1. Presentation Introduce the topic and present an illustration of a robot. A. Call a pupil to get the body of the robot. What kind of quadrilateral is this? (Square) What are the parts of polygon? (sides, angle & vertices) Where are the sides, angles & vertices? Ask the pupils about the numbers of sides, angles and vertices of the figure. (Square has 4 equal sides, 4 angles & 4 vertices) B. Call a pupil to get the head of the robot. What kind of quadrilateral is this? (rhombus) Ask them about the numbers of sides, angles & vertices of the figure. (rhombus has 4 equal sides, 4 angles & 4 vertices) C. Ask for volunteer to get the arms of the robot. Are these two shapes the same? (yes) What kind of quadrilateral are these? (parallelogram) How many sides does a parallelogram have? Angles? Vertices? (parallelogram has 4 sides, 4 angles & 4 vertices) D. Ask the shape of the legs of the robot. (rectangle) How many sides does a rectangle have? (4) How many angles does a rectangle have? (4) How many vertices does a rectangle have? (4) E. What is the shape of the feet of the robot? (trapezoid) Ask a pupil to count the sides of the trapezoid in front. Ask a pupil to put a mark on its angle. (4 angles) Ask a pupil to identify the vertices of the trapezoid. 2. Analysis/Abstraction Introduce the term quadrilateral. How many sides does this quadrilateral have? How about their angles? Vertices? 3. Fixing Skills Following Directions Draw a quadrilateral using red color. Get the blue crayon and color its vertices. Get green crayon color and color its angles. Valuing: Why is it important to follow the directions given? What do you think will happen if you follow the direction given? What if you don’t? 4. Generalization What are the parts of quadrilaterals? Quadrilaterals are plane figure having 4 sides, 4 angles & 4 vertices. C. Application Directions: Construct the following: (by group) GROUP I- Draw a square using the letters R-E-Y-N as its vertices. GROUP II- Draw a rectangle having vertices of R-E-Y-N and identify its angles. GROUP III- Draw a rhombus using vertices of R-E-Y-N and identify its sides. IV. Evaluation Directions: Write S if the part of the quadrilateral having red mark is a side, write A if it is an angle and write V if it is a vertex. 1. 6. 2. 7. IV. 3. 8. 4. 9. 5. 10. Assignment A. Directions: Identify the 4 sides of the quadrilateral below. A B C D B. Directions: Identify the 4 angles of the quadrilateral below. R O Y Z C. Directions: Identify the 4 vertices of the quadrilateral below. P A U L