Republic of the Philippines Department of Education Region VIII Detailed Lesson Plan in Math 5 I. Objective: Round Numbers to the Nearest Thousands and Ten Thousand. Value Focus: Cooperation II. Subject Matter: Prerequisite Concepts and Skills Identifying the place value of a number Rounding numbers to the nearest Tens and Hundreds Materials: show-me-boards, picture, number lines References: K-12 Grade 5 Curriculum M5NS-Ia-15.3, Grade 5 TG and LM III. Instructional Procedure Teacher’s Activity A. Preliminary Activities Please stand, let us pray. Pupils Activity Interfaith Prayer… Present. Please sit down, Say present, as I call your name. 1. Drill Let’s play “Guessing Game”. All of you will solve the Yes Ma’am. given problem as fast as you can. The first pupil who will raise hand and give the correct answer wins. Ready? a. My ones digit is 2. My tens digit is thrice the 10 882 ones digit. My hundreds digit is four times the ones digit and my thousands digit is the sum of the ones and the tens digit. What number am I? Great! Let’s give the winner “Aling Dionesia Clap”. 1, 2, 3, Magaling! Magaling! Magaling! b. I am a 5-digit number. My thousands digit is 9. 39 600 My ten thousands digit is 3. My hundreds digit is 6. The other digits are zero. Who am I? Very Good. Let’s give the winner “Digong Clap”. 1, 2, 3, Good Job! 2. Review This time, we will review on rounding whole numbers to the nearest tens and hundreds. Write your answer on your show-me-boards. a. If we skip counts by 10s 1. 128 is nearer to _______ than ________ 130 than 120 2. 299 is nearer to _______ than ________ 3. 278 is nearer to _______ than ________ 4. 368 is nearer to _______ than ________ 5. 674 is nearer to _______ than ________ 300 than 290 280 than 270 370 than 360 670 than 660 b. If we skip counts by 100s 1. 432 is nearer to _______ than ________ 2. 734 is nearer to _______ than ________ 3. 245 is nearer to _______ than ________ 4. 567 is nearer to _______ than ________ 5. 389 is nearer to _______ than ________ 400 than 300 700 than 600 200 than 300 600 than 500 400 than 300 3. Motivation What can you see in the picture? Can you tell the exact number of people in the rally? Why do you think it is important to estimate? Rally Many people No It is important to estimate because we cannot tell the exact number. Very good! We cannot tell the exact number of the people in the rally. Sometimes there is no need for us to give the exact number. Instead we just approximate/estimate how many people or things are there. B. Developmental Activities 1. Presentation Let’s read the problem. Students will read the problem. The election count in Calbayog City is almost over. Mr. Monmon Uy, one of the mayor candidates, is leading the election. He got a vote of 38 500 and Mayor Diego Rivera, the mayor of Calbyog City, his opponent, got 23, 210 votes. By about how many more vote did Mr. Uy have than Mr. Rivera? Ask: How will you solve the problem? I will solve the problem by rounding the numbers. 2. Performing the activities Let’s find the answer by estimation. Study the number line. Label from 2 000 to 3 000. Let us use the number line. Find 2210. To what number is it closer? 2000 or 3000? Since 2000 it is closer to 2000, round it down. Find 2500. Where is it located? Nice job. It is halfway between 2000 and 3000. Round up numbers that have 5 in the hundreds place. So, 2500 rounded to the nearest thousands is 3000. Find 2678. To what number is it closer? 2000 or 3000? Since it is closer to 3000, round it up.” If the digit before the number that needs to be round off is 1-4, we have to round it up or round it down? If the digit before the number that needs to be round off is 5-9, we have to round it up or round it down? Now, by how many votes did Mr. Uy win? How will you round off 15 250 to the nearest thousands? How about to the nearest ten thousands? Great job. Let’s have a group activity. I will group you into four (4). Each group will be given an activity sheet to answer. The first group to finish with its correct answer wins. Post you answers on the board then check your answers. But before we start with our group activity, what are the standard to follow in doing group activity? I will give you 3 minutes. You timer starts now. Activity: Round as indicated. Round to the Nearest MONEY Thousands In the middle of 2000 and 3000 3000 Round it down. Round it up. By 15 250 15 000 20 000 Cooperate with the group. Work silently Share your idea. The students will answer their group activities. Ten Thousands ₱ 24, 500 ₱ 38, 650 ₱ 42, 820 ₱ 63, 248 ₱ 59, 750 3. Processing the activities Let us look at your work. What is the rounding place if a number to be rounded to the nearest thousands? Ten thousands? Amazing! What digit should be at the right of the digit in the rounding place in order to round down? What digit should be at the right of the digit in the rounding place in order to round up? Thousands. Ten Thousands. Digits 1-4 Digits 5-9 4. Reinforcing the Concept and Skill Let’s answer this: The diameter of the Earth at the equator is about 12 756 kilometers. About how many thousand kilometers is the diameter of the Earth at the equator? How can we find the answer to the problem? Wow! That’s very cool. Let’s study the number line below. To which number is 12 765 closer, 12 000 or 13 000? Very Nice. Since 12 765 is closer to 13, 000, you can say that 12 756 becomes 13 000 when rounded to the nearest thousands. Hence, the diameter of the Earth is about 13 000 kilometers. Now, say “HEPHEP” if the number could be rounded to 13 000 and “HOORAY” if it couldn’t. 12 580 13 295 12 352 12 761 13 940 Perfect! 5. Abstraction Again, how do we round numbers? To round numbers: Look at the place at the left of the number to be rounded. Check the digit to its right. If it is less than 5, round it down. If it is 5 and above, round it up. Change all the digits to the right of the digit to be rounded to 0. 6. Applications Think, Pair, Share. You can have a partner then discuss it with him/her. After, write your answer in your show-me-board. We can find the answer to the problem by rounding 12 756 to the nearest thousands. 13 000 HEPHEP HEPHEP HOORAY HEPHEP HOORAY To round numbers: Look at the place at the left of the number to be rounded. Check the digit to its right. If it is less than 5, round it down. If it is 5 and above, round it up. Change all the digits to the right of the digit to be rounded to 0. Solve each problem. 1. In a poultry farm of Mang Joshua, there were 2 223 eggs gathered on Monday, 2 134 eggs on Tuesday, 2 671 on Wednesday, and 3 002 on Thursday. They were all delivered to different store in Calbayog City. About how many eggs were delivered in all? 10 000 eggs 2. Mang Tony harvested 39 689 kilograms of mangoes. About how many kilograms of mangoes were harvested? 40 000 mangoes C. Assessment Round the following to the nearest: a. Thousands 1. 98 354 __________________ 2. 67 452 __________________ 3. 8 712 __________________ 4. 78 324 __________________ 5. 64 657 __________________ b. Ten Thousands 6. 75 345 __________________ 7. 62 490 __________________ 8. 95 234 __________________ 9. 29 567 __________________ 10. 83 531 __________________ 98 000 67 000 9 000 78 000 65 000 80 000 60 000 100 000 30 000 80 000 D. Assignment Using the number line, find out where the number is nearer to. Underline your answer. 1. 2. 3. 4. 5. 81 234 85 123 83 245 87 345 89 234 80, 000 80, 000 80, 000 80, 000 80, 000 or or or or or 90 000 90 000 90 000 90 000 90 000 80 000 90 000 80 000 90 000 90 000 Enrichment Write the place value to which each number is rounded. 1. 2. 3. 4. 5. 120 000 ___________________ 30 000 ___________________ 55 000 ___________________ 7 000 ___________________ 198 000 ___________________ Ten Thousands Ten thousands Thousands Thousands Thousands