Lesson 1 Speed, Distance and Time in 21st Century MATHletes 6 November 23, 2018 7:30-8:30 a.m l. Objectives: At the end of 45 minutes period, 85% of BEED 4B students are expected to: a. Define the speed, distance and time b. Appreciate the importance of the speed, distance and time through giving example of experience c. Compute the speed, distance and time of the problem. ll. Subject Matter: a. Topic: Speed, Distance and Time b. Reference: 21st Century MATHletes by perez, et al. p. 253-259 c. Materials: Visual aids, board d. Strategy: 4A’s e. Approach: learner centered approach f. Skills Integration: reasoning skills g. Values Integration: cooperation and respect h. Subject Integration: Values Education lll. Procedure: Teacher’s Activity A. Preliminary Activities: 1. Prayer 2. Checking of attendance 3. Checking of classroom setting 4. Recapitulation - What is the topic we discussed last meeting? Students’ Activity (the answer will be the last topic discussed) 5. Motivation: The teacher will say “run” to act like running and “walk” to act like walking and students will follow the instruction of what the teachers doing. B. Developmental Activities A. Activity: - - Please count 1-2-3 to form a three group for we will be having an activity, please start. Kindly choose your group leader likewise your secretary. 1-2-3-1-2-3-1-2-3…… - For this group activity, you will write S if it is for speed, D if it is for distance and T if it is for time. - I will only give you 2 minutes to talk among yourselves then the presentation will immediately follow. - Group 1,2 and 3 form a line. - The leader will be the first to answer followed by the secretary and the member. - Is the instruction clear? Are you now ready? Yes, Sir You may now start (The students will be performing the activity) - (After two minutes...) Answer: - - Please start answering the question in the board. Very good presentation group 1, 2 and 3. Let us, give one another a “very good clap”. B. Analysis: - (The teacher will facilitate the discussion through asking questions by posting the visual aids and will be letting them express their thoughts about speed, distance and time) GROUP 1 GROUP 2 GROUP 3 1. D 2. S 3. T 4. S 5. D 6. S 7. T 8. S 9. T 10. D 11. T 12. D 13. S 14. T 15. D 1. T 2. D 3. S 4. D 5. T 6. D 7. S 8. D 9. S 10. T 11. S 12. T 13. D 14. S 15. T 1. S 2. T 3. D 4. T 5. S 6. T 7. D 8. T 9. D 10. S 11. D 12. S 13. T 14. D 15. S - What did you observe in our activity? Sample answer: It’s all about speed, distance and time. - What is speed, distance and time? Sample answer: Speed is fast or slow moving, distance is the far or near of the place and time is the happening hour, minute or second. - Is it important? why? Sample answer: Yes because it is made by God and we need to study this because it is in everywhere so we need to be aware. C. Abstraction: - Let us find out what is speed, distance and time really mean, are you now ready? - Will you please read the definition of speed? - Very good. - Will you please read the definition of average speed? - Very good - What is the difference between speed and average speed? - Very good - (The teacher will give an example about average speed) - Example 1: If a car travels 100 kilometers in 2 hours, find the average speed. Solution: using the average speed formula. distance Average speed= time =100 2 =50 kph - Answer: The average speed of the car is 50 kph - Will you please read and answer the example 2? Yes, sir Speed is a scalar quantity that refers to “how fast an object is moving.” Speed can be thought of as the rate by which an object covers distance. (the explanation may vary) Average speed is a measure of the distance traveled in a given period of time; it is sometimes referred to as the ratio of distance and time. (the explanation may vary) Sample answer: Speed is focus on how fast the object is moving while the average speed is getting the distance and time equally. Example 2: Roy drives at an average of 45 mph on a journey of 135miles. How long does the journey take? Solution: using the average speed formula. distance time =135miles 45 mph = 3 hours Average speed= - Very good. Answer: The journey takes 3 hours. - What is the importance of speed? Sample answer: The importance of speed is to make our work faster and we can go to the place in a short of time like going to the school, I walk fast to arrive on time. - Very good. - Will you please read the definition of distance? - Very good. - (The teacher will give an example about distance) - Example 3: Lemuel’s motorcycle’s average speed on a motorcycle is 50 km/h. If he drives it for 4 ½ hours, how far does he travel? Distance is the total length between two positions. Distance is the amount of space between two objects or the state of being far apart. (the explanation may vary) Solution: using the formula to find the distance. Distance= speed x time = 50 x 4 ½ = 225 kilometers Answer: he can travel a distance of 225 kilometers - Will you please read and answer the Example 4: Sean drove 20 km/h for 2 ½ hours, example 4? what was the distance Sean traveled? Solution: using the formula to find the distance. Distance= speed x time = 20 x 2 ½ = 50 kilometers Answer: Sean traveled was 50 kilometers. - Very good. - What is the importance of distance? - Will you please read the definition of time? - Very good - The formula to find the time is Sample answer: The distance is important to know if the place we wanted to go is far or near. Example going to school if you are near you just need to walk to save a money. Time is the quantity measured or measurable period during which an action, process, or condition exists or continues. distance Time= speed - (The teacher will give an example about time) - Example 5: Wilson can type 840 words in 20 minutes. Calculate his typing speed in; a. words per minute b. words per hour Solution: his typing speed can be calculated as: 840 a. typing speed= 20 = 42 words per minute. In 1 hour, we have 60 minutes, so: b. typing speed= 42 x 60 = 2520 words per hour - Will you please read and answer the example 6? Example 6: Anthony can speak 700 words in 5 minutes. Calculate his speaking speed in: a. words per minute b. words per hour Solution: his typing speed can be calculated as: 700 a. typing speed= 5 = 140 words per minute. In 1 hour, we have 60 minutes, so: b. typing speed= 140 x 60 = 8,400 words per hour - Very good. - What is the importance of time? - Very good. - The teacher will show a diagram: Sample answer: The time is very important to guide us on what we are doing and we need to use it properly because time is gold and it is the most precious gift from God that we received because our life depends in our time. Example if you have an assignment or project do it immediately to use your time wisely. D S T - What is the diagram show? - Excellent. - Do you have a question? - Let us now proceed to our next activity. D. Application: - The teacher will divide the class into three groups. - Kindly choose your group leader likewise your secretary. - For this group activity, you will answer the speed, distance, and time of the problem by using the formula. Sample answer: The diagram show that to easily remember the formula in getting speed, distance and time. Distance= speed x time Speed= distance / time Time= distance / speed Sample answer: None sir - I will only give you 3 minutes to talk among yourselves then the presentation will immediately follow. - Is the instruction clear? Are you now ready? Yes sir - You may now start (The students will be performing the activity) - For numbers 1-5, calculate the distance that you would travel if you drove for: 1. 2 hours at 30 km/h 2. 7 hours at 65 km/h 3. ½ hours at 46 km/h 4. 5 hours at 80 km/h 5. 1 ½ hours at 55 km/h Answer: 1. 60 kilometers 2. 455 kilometers 3. 23 kilometers 4. 400 kilometers 5. 82 ½ kilometers For numbers 6 -10 time, how long does it take to travel? 6. 100 kilometers at 20 km/h? 7. 180 kilometers at 45 km/h? 8. 250 kilometers at 25 km/h? 9. 280 kilometers at 40 km/h? 10. 320 kilometers at 80 km/h? For number 11and 12, speed. 11. and 12. A car travels 200 kilometers in 8 hours. Calculate the average speed of the car in: a. kilometers per hour b. kilometers per minute - 6. 5 hours 7. 4 hours 8. 10 hours 9. 7 hours 10. 4 hours 11. – 12. a. 25 kilometers per hour b. 1500 kilometers per minute Presentation…. IV. Evaluation: Solve each problem. 1. Mhar took a 5-hour bicycle trip. In all, he traveled 120 kilometers. What was his average rate of speed? 24 km/h 2. Rolly travels from Lucena City to Manila every Saturday to visit his mother. The trip takes 3.5 hours and he usually travel at an average rate of 64 km/h. how many kilometers does Rolly travel from Lucena City to Manila? 224 kilometers 3. Wilfredo can write 200 words in 5 minutes. Calculate his writing speed in: a. words per minute = 40 b. words per hour = 2,400 V. Assignment: Solve the problem. 1. Alfred drives for 1 ½ hours at 75 km/h, then drives 120 kilometers at 60 km/h, and finally drives for 30 minutes at 65 km/h. Calculate his average speed for the whole journey? Prepared by: Mhar Anthony P. Duroy Student teacher