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# Mathematics v lp 1 st to 4th grading......

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### Mathematics v lp 1 st to 4th grading......

1. 1. MATHEMATICS V FIRST GRADING PERIOD Date: ___________ I. Objectives:  Give the place value of each digit in a 6 or more digit number II. Learning Content Reading and writing numbers through billions in figures and in words References: BEC PELC 1 A 1 Enfolding Mathematics V Materials: Place value chart, number cards III. Learning Experiences: A. Preparatory Activities: 1. Drill: Writing numbers in expanded form to standard form Strategy: Think and Share (Working back) Mechanics: a. Distribute 2 copies of a number in expanded form to a boy and a girl. b. Let the two write the standard form of the number one on top of the other on the board. c. The purpose of the game is to easily compare the places and digits of the standard form of the number. d. Have volunteers read the first number, give the place value of each digit and the value of each digit. e. Then have them give the place and the value of each digit in the second 'number. f. The game continues until all the five pairs' of numbers are written on the board. 2. Review: Reading smaller group of numbers written on recycled materials. B. Developmental Activities: 1. Motivation: Start playing “Guess what number”. The teacher places the following statements on the board. a. My telephone number is “III II IIII – II II IIII III” b. I traveled “CDLXXIV” kilometer by motorcycle. Do you think the sentences are easy to read and understand? Why?
2. 2. 2. Presentation: Strategy : The total student population in the Philippines according to the Philippine Yearbook 1999 is sixteen million, three hundred nine thousand, five hundred fifty-six. Ask the following questions: 1. How is this number written in numerals? 2. In writing a numeral consisting of many digits, how are the digits divided? 3. Where do we start grouping the number by 3? 4. How are the three-digit number group separated from the other number groups? 5. Where do the value of each period as well as each digit in the periods depend? 3. Practice Exercises Write the following numbers in words. 1. 2 750 000 2. 3 716 513 3. 43 000 210 4. Generalization: How many periods are there in billion? What are the periods in billion? Where do you start reading numbers? 5. Application: Write the value of the underlined digits. 1. 3 100 423 000 2. 9 2 7 657 3. 412 876 010 051 4. 234 145 687 921 IV. Evaluation: Write each number in standard form. 1. 75 billion, 84 million, 26 thousand75 billion, 84 million, 26 thousand 2. 149 million, 400 thousand, twelve 3. 4 billion, 180 thousand 4. Thirty-five million, ten thousand 5. Sixty billion V. Assignment: Write the number words in numerals 1. 436 510 210 2. 2 004 716 3. 14 287 000 4. 8 286 000 450 5. 3 012 428 000
3. 3. MATHEMATICS V Date: ___________ I. Objectives:  Read and write numbers through billions in figures and in words correctly II. Learning Content: Reading and writing numbers through billions in figures and in words References: BEC PELC 1 A 1 Enfolding Mathematics V Materials: Number cards with number 0-9 written on recycled materials like boxes of milk. III. Learning Experiences: A. Preparatory Activities: 1. Drill: Writing numbers in expanded form to standard form Strategy: Formatting Numbers (Game) Mechanics: a. One group of 10 boys and 1 group of 10 girls will be given number cards 0-9. b. As the teacher says a number the boys' and the girls' groups will form the said number as fast as they could by standing in front of the class. c. The group that is able to form the correct number first gets the point. d. The game will go on until all the nurr0ers prepared by the teacher have been all dictated. e. The group with the highest points wins. 2. Review: Reading smaller group of numbers written on recycled materials. B. Developmental Activities: 1. Motivation Show and discuss the place value chart. Chalk and board. 2. Presentation: Strategy : Picking Flowers Relay (Game) Materials: Paper flowers clipped on a cartolina tree Mechanics: 1. Divide the class into 2 groups 10 boys and 10 girls. 2. Teacher post a tree on the board with flowers having numbers on them. 3. As the teacher says a number, the first set of participants rush to the board to pick the flowers corresponding to the dictated number. 4. The participant who gets the right flower keep the flower and gets the point for his/her group. 5. The game goes on until all the flowers are picked. The group that has the most flowers wins. 3. Practice Exercises Write the numerals of the following. 1. Three million seven hundred twenty three thousand, one hundred twenty 2. Five hundred thirty five million two hundred forty four
4. 4. 3. Six hundred eighty thousand eight hundred two 4. Eight hundred forty seven million three hundred fifty six thousand four hundred fifteen 4. Generalization: How is each period separated from each other? When writing numbers in words, what is placed after each period? 5. Application: Write the following numbers in words. a. 123 456 b. 200 321 345 c. 245 062 556 IV. Evaluation: Write the value of the underline digit in each number 1. 3 10 423 000 __________________ 2. 9 287 600 __________________ 3. 412 875 010 051 __________________ 4. 17 386 001 000 __________________ 5. 234 126 143 __________________ V. Assignment: In the numeral 927 814 760 537, write each digit in the proper place according to value. ________ a. thousands ________ b. ten millions ________ c. billions ________ d. hundreds ________ e. ones ________ f. ten thousands ________ g. hundred millions ________ i. hundred thousands ________ j. ten billions ________ k. millions ________ l. tens
6. 6. 5. Application: Name the properties used. a. (7+8)+2=7+(8+2) b. 3 + 9 = 9 + 3 c. 14 + 0 = 0 d. 5 x ( 6 + 7 ) = (5 x 7)+(5 x 6) e. 5 x 1 = 5 IV. Evaluation: Find each missing addend. Name the properties you used. 1. (12 + 3 ) + 5 =  + ( 3 + 5 ) 4. 35 + 0 +  = 35 + 9 + 0 2. 27 +  = 27 5. ( 4 +  ) + 16 = 4 + ( 16 + 12 ) 3. (32 +  ) + 8 = 32 + ( 8 + 7 ) V. Assignment Use the properties to complete each sentence 1. 24 + 12 + 6 =  2. 65 + 20 + 115 =  3. 0 + 574 =  4. 0 + 45 + 7 =  5. 479 + 0 = 
8. 8. IV. Evaluation: Find each missing addend. Name the properties you used. 1. 35 + 0 +  = 35 + 9 + 0 2. (4 +  + 16) = 4 + (16 + 12 ) 3. ( 2 + 19 ) +  = ( 2 + 9 ) + 19 V. Assignment Use the properties to complete each sentence 3. 479 + 0 =  3. 30 + 20 + 15 =  5. 25 + 35 + 10 =  4. 15 + 12 + 9 =  4. 16 + 30 + 14 = 
9. 9. MATHEMATICS V Date: ___________ I. Objectives:  Identify the properties of multiplication II. Learning Content Identifying and showing the properties of multiplication References: BEC PELC I A 2.b Enfolding Mathematics V Materials: Objects or bottle caps III. Learning Experiences: A. Preparatory Activities: 1. Drill on Basic Facts of Multiplication 7 x 8 9 x 7 8 x 2 5 x 5 6 x 6 4 x 9 6 x 4 4 x 4 2. Review: Name the properties used: 1. (5 + 7 ) + 4 = 5 + ( 7 + 4 ) 4. 12 + 0 = 12 2. 6 + 3 = 3 + 6 5. (7 + 1) + 2 = 7 + (2 + 1) 3. 2 + (5 + 3) = 2 + (3 + 5) B. Developmental Activities: 1. Motivation: Who among you collect something for your past time like caps, stamps or coins? Why do you do that? Elaborate answers of the pupils. 2. Presentation Strategy : Using Concrete Object Mechanics: 1. Distribute 24 counters to each pair. 2. Partner 1 uses counters to show a 6 by 2 array. Partner 2 shows a 2 by 6 array. 3. Partners discus similarities and differences in arrays. 4. They write multiplication sentence for each array. 5. Pair repeat activity for these arrays: 6. Teacher asks what pupils say about the product. 7. This is the Commutative Property of Multiplication 3. Practice Exercises Write true or false. If true, identify the property of multiplication illustrated i. 8 x 4 = 4 x 8 ii. ( 3 x 4 ) + ( 4 x 5 ) = ( 3 x 4 ) x 5 iii. 7 x (4 + 2 ) = ( 7 x 4 ) + 2 4. Generalization: What are the properties of multiplication? 5. Application: Name the property of multiplication used. a. 9 x 14 = 14 x 9 b. 25 x 1 = 25 c. 6 x (7 + 3) = (6 x 7) + (6 x 3)
10. 10. d. 248 x 0 = 0 e. 6 x (8 x 10) = (6 x 8) x 10 IV. Evaluation: Identify the property of multiplication illustrated. - 1. 4761 x 0 = 0 2. 8 x 27 = 27 x 8 3. 956 x 1 = 956 4. 8 x (4 x 9) = 8 x (4 x 9) 5. 4 x (3 + 6) = (4 x 3) + (4 x 6) V. Assignment Name the property of multiplication illustrated. 1. 9x14=14x9 2. 25 x 1 = 25 3. 6 x (7 + 3) = (6 x 7) + (6 x 3) 4. 248 x 0 = 0 5. 6 x (8 x 10) = (6 x 8) x 10
12. 12. Write true or false. If true, identify the property of multiplication illustrated 1. ( 8 + 2 ) x 3 = ( 8 x 3 ) + ( 2 x 3 ) 2. 10 x 96 = 90 x 10 + 6 3. 5 x ( 5 x 2 ) x ( 6 x 5 ) 4. Generalization: What are the properties of multiplication? 5. Application: Identify the property of multiplication illustrated and try to find out the answer.. - 1. 4761 x 0 = 2. 8 x 27 = 27 x 8 3. 956 x 1 = 4. 8 x (4 x 9) = 8 x (4 x 9) 5. 4 x (3 + 6) = (4 x 3) + (4 x 6) IV. Evaluation: Write true or false. If true, identify the property of multiplication illustrated. 1. 8 x 4 = 4 x 8 2. (3 x 4) + (4 x 5) = (3 x 4) x 5 3. 7 x (4 + 2) =(7 x 4) + 2 4. 7 x 82 = ( 7 x 80 ) + ( 7 x 2 ) 5. 457 x 0 = 0 V. Assignment Write true or false. If true, identify the property of multiplication illustrated. 1. (8 + 2) x 3 = (8 x 3) + (2 x 3) 2. 10 x 96 = 90 x l0 + 6 3. 5 x (2 x 6) = (5 x 2) x (6 x 5) 4. 0 x 5 = 0
13. 13. MATHEMATICS V Date: ___________ I. Objectives:  Round off numbers to the nearest indicated place value II. Learning Content Rounding Numbers to the Nearest Tens, Hundreds, thousands, ten thousand, etc. References: BEC PELC I A 3 Enfolding Mathematics V Materials: flashcards, cut outs, number cards III. Learning Experiences: A. Preparatory Activities: 1. Drill: Drill on reading numbers through billions. Strategy : Game-Catching Fish Mechanics: a. Teacher divides class into two groups b. Draw lots to decide who will be the first- player. c. The first player catches fish by getting one cut out and reading the numeral correctly. Reading the numeral accurately means one point for the group. d. The second player comes from the other group. e. The game continues up to the 10 rounds. f. The group with the most number of points wins. 2. Review: What are the properties of multiplication? B. Developmental Activities: 1. Motivation: Read a news item that will show estimating large groups. NEWS:Last week,a company managers called for a meeting. Almost 50 employees came. - Does the actual number of employees attend the meeting? - What word in the news express an estimate? (almost) 2. Presentation Mechanics a. Draw a number line on the board. Elicit from student the whole number of points that are needed according to the problem, ("nearest hundreds'') namely 100 and 200. b. Have student plot 187. Lead student to answer the problem of asking which "hundred" is 187 closer to. c. Provide another number. What if we are expecting same process. d. Elicit from· students which number would round up to 200 (150-199). Mention that when we read the halfway mark, we round up. e. Generalize the rule for rounding off boxed on student's observations. f. Provide more examples and different place values. 3. Practice Exercises Name the place value where the numbers are rounded. 1. 890 2. 456 000
14. 14. 3. 580 000 000 4. 700 000 000 5. 980 000 000 4. Generalization: In rounding numbers to the nearest multiple of 10, look at the digit at the right of the number to be rounded. If it is 1, 2, 3, 4 retain the digit and replace other digits that follow with zeros. If it is 5, 6, 7, 8, or 9, add one to the digit to be rounded and with zeros after it. 5. Application: Round off the following numbers to the indicated place value. 1. 865 to the nearest hundred 2. 597 644 to the nearest ten thousand 3. 50 138 to the nearest thousand 4. 865 207 to the nearest hundred thousand 5. 71 575 to the nearest ten thousand IV. Evaluation: Round each number to the nearest Ten Hundred Thousand 1. 2 368 2. 5 059 3. 18 656 4. 6 542 5. 57 558 V. Assignment List 5 greatest numbers that can be rounded off to the nearest 1. Hundreds 2. Thousands 3. Ten thousands 4. Hundred thousands
15. 15. MATHEMATICS V Date: ___________ I. Objectives:  Review the process of adding and solving large numbers with and without regrouping II. Learning Content: Review the process of adding and solving large numbers with and without regrouping. References: BEC PELC I A 4.a Enfolding Mathematics V Materials: cards, chart, cartolina, strip of paper III. Learning Experiences: A. Preparatory Activities: 1. Drill: Ask the pupils to give the sum and difference of the numbers found on each slice of the pie 2. Review: Review on the properties of addition. Identify the property of addition and fill in each blank. 56 + 34 = ____ + 56 = ____ 569 + 0 = ____ (5 + 9) + 6 = 5 + (___ + 6 ) + ____ (___ + 2) + 16 = (8+2) + 16 = ____ (32 + 8) + ___ = 32 + ( 8 + 9 ) = ___ B. Developmental Activities: 1. Motivation: Have you been to a poultry farm? What did you see there? Do you have an idea about the number of eggs that can be gathered in a big poultry farm in a week? 2. Presentation: Strategy : Problem Opener Miss Nim's poultry farm produced 46 578 eggs in 200 and 51 254 eggs in 2001. How many thousand eggs were produces in two years? How many more eggs were produced in 2001 than in 2000? 1. What is asked? 2. What are the given facts? 3. What operation will be used to answer the first question? 4. Write the equation for the problem 46576 + 51 254 = __ 5. Let the pupils identify the parts of the equation. 3. Practice Exercises
16. 16. Do the indicated operation 1. 638 431 + 972 302 + 439 166 = 2. 451 384 + 618 175 + 806429 = 4. Generalization: How do we add large numbers with regrouping? Without regrouping? 5. Application: Do the indicated operation 1. 638 431 + 972 302 + 439 166 2. 451 384 + 618 175 + 806 429 IV. Evaluation: Solve the following correctly 1. From 189 860 add 56 780 2. Find the sum between 864 466 508 and 792 648 850 3. Find the sum between 162 488 462 and 87 498 624 4. Put together 874 321 987 from 922 498 674 5. Add 146 935 975 and 371 297 465 V. Assignment: Complete the chart. Write the sum and difference of the numbers indicated. Numbers Sum Difference 1. 984 207 542 263 481 563 2. 725 983 654 336 343 459 3. 5 963 425 321 2 876 976 781
17. 17. MATHEMATICS V Date: ___________ I. Objectives:  Review the process of subtracting and solving large numbers with and without regrouping II. Learning Content: Review the process of adding and solving large numbers with and without regrouping. References: BEC PELC I A 4.a Enfolding Mathematics V Materials: cards, chart, cartolina, strip of paper III. Learning Experiences: B. Preparatory Activities: 1. Drill: Ask the pupils to give the sum and difference of the numbers found on each slice of the pie 2. Review: Review on the properties of addition. Identify the property of addition and fill in each blank. 56 + 34 = ____ + 56 = ____ 569 + 0 = ____ (5 + 9) + 6 = 5 + (___ + 6 ) + ____ (___ + 2) + 16 = (8+2) + 16 = ____ (32 + 8) + ___ = 32 + ( 8 + 9 ) = ___ B. Developmental Activities: 1. Motivation: Have you been to a poultry farm? What did you see there? Do you have an idea about the number of eggs that can be gathered in a big poultry farm in a week? 2. Presentation: Strategy: Problem Opener Miss Nim's poultry farm produced 46 578 eggs in 200 and 51 254 eggs in 2001. How many more eggs were produced in 2001 than in 2000? 1. What is asked? 2. What are the given facts? 3. What operation will be used to answer the first question? 4. Write the equation for the problem 46576 - 51 254 = __ 5. Let the pupils identify the parts of the equation. 3. Practice Exercises
18. 18. Do the indicated operation 1. 638 431 + 972 302 + 439 166 = 2. 451 384 + 618 175 + 806429 4. Generalization: How do we subtract large numbers with regrouping? Without regrouping? 5. Application: Do the indicated operation 1. 906 382 – 529 495 2. 703 800 – 476 247 3. 870 006 – 618 718 IV. Evaluation: Solve the following correctly 1. From 189 860 take 56 780 2. Find the difference between 864 466 508 and 792 648 850 3. Find the difference between 162 488 462 and 87 498 624 4. Take 874 321 987 from 922 498 674 5. Subtract 146 935 975 from 371 297 465 V. Assignment: Complete the chart. Write the sum and difference of the numbers indicated. Numbers Sum Difference 4. 984 207 542 263 481 563 5. 725 983 654 336 343 459 6. 5 963 425 321 2 876 976 781
19. 19. MATHEMATICS V Date: ___________ I. Objectives:  Review the process of multiplying whole numbers II. Learning Content Reviewing the process of multiplying whole numbers References: BEC PELC I A 4.b Enfolding Mathematics V Materials: flashcards III. Learning Experiences: A. Preparatory Activities: 1. Drill: Basic facts in multiplication through flashcards a. 5 x 6 = ______ b. 10 x 6 = _____ c. 8 x 4 = _____ d. 9 x 3 = ____ 2. Mental Computation: Perform mentally the following: 12 14 12 10 x 12 x 10 x 11 x 13 B. Developmental Activities: 1. Motivation: Sing the song (tune: Are you sleeping) Mathematics! Mathematics! How it thrills, How it thrills Addition, Subtraction Multiplication, Division Mental ! Math! Mental ! Math! (Repeat) 2. Presentation Presentation of lesson through the use of word problem Each of the 45 Servers of Excellent Garments can make 1 325 pairs of socks in a week. How many pairs can they make? 1. What is ask in the problem 2. What are given? 3. What operation will be used 4. What is the mathematical sentence for the problem 3. Practice Exercises Solve and explain the solution 8 364 62 008 9 0009 x 53 x 13 x 23 4. Generalization To multiply whole numbers, multiply each digit of the multiplicand by each digit of the multiplier. Start with the ones digit of the multiplier. Add the partial products to get the final product.
20. 20. 5. Application: Multiply. 5 269 9 009 x 47 x 24 31 695 10 312 x 43 x 35 IV. Evaluation: Find the product of the following. Be sure to solve accurately 40 306 37 715 45 618 x 27 x 53 x 13 V. Assignment: Read each problem. Write the mathematical sentence then solve. Be sure to give the complete answer. 1. Mr. Rico sold 2 321 copies of Mathematics books. Mr. Paz sold 12 times as many. How many mathematical books did Mr. Paz sell? 2. How much will 2 575 chairs cost at P 98.00 each? 3. A taxi uses consumes up 1 200 liters of gasoline in a month. How many liters were consumed in 12 months.
21. 21. MATHEMATICS V Date: ___________ I. Objectives:  Review the Division of whole numbers II. Learning Content: Reviewing the division of whole numbers References: BEC PELC I A R4.4 Enfolding Mathematics V Materials: Spinner, blocks, stairs with numbers III. Learning Experiences: A. Preparatory Activities: 1. Drill: Division Facts a. Group the pupils b. Each pupil by group will answer one division equation. If the answer is correct, the next pupil in the group will answer the next step. If incorrect, the next pupil will answer the same equation until the equation is correct. c. The first group to finish get the star 2. Drill: Division facts Strategy: Reach the star 1 696 8 896 8 96 8 72 8 24 8 B. Developmental Activities: 1. Motivation: Sing the song (tune: Are you sleeping) Mathematics! Mathematics! How it thrills, How it thrills Addition, Subtraction Multiplication, Division Mental ! Math! Mental ! Math! (Repeat) 2. Presentation Three boys gathered chicos form an orchard. If there were 348 chicos in the basket, how many chicos should each boy get as his share? a. Ask the following: 1. What are given? 2. What are being ask? 3. How will you solve the problem? b. Show by illustration how to divide 348 by 3 c. Define and identify dividend, divisor to quotient.
22. 22. 3. Practice Exercises Read each problem and solve a. Mang Berto gathered 1 350 mangoes from his orchard. Before selling the mangoes, he placed them equally in 6 kaings. How many mangoes were placed in each kaing? b. A rice dealer brought 1 224 sacks of rice. He hired 8 trucks to carry the rice from the province to Manila. How many sacks of rice were in each truck? 4. Generalization How will you divide whole numbers? 5. Application: Divide then check. Do not forget to add the remainder if there is any. 1. 23√1 359 3. 64 √7 872 2. 52√7 332 4. 23 √25 576 5. 49√7 532 IV. Evaluation: Find the quotient: 1. 24√13 248 3. 48 √23 9708 2. 24√15 184 4. 23 √10 005 5. 31√44 448 V. Assignment: Read each problem and solve 1. The cost of 24 blouses is P 4 296. What is the cost of each blouse? 2. Last December,Lolo Carlos set aside P 1 015 which he distributed equally among his 7 grandchildren. How much did each child receive? a. Ask the following: 1. What are the given? 2. What are being asked? 3. How ill you solve the problem? b. Show the illustration how to solve the problem.
23. 23. MATHEMATICS V Date: ___________ I. Objectives:  Solve 1 step word problem using any of the four fundamental operations II. Learning Content: Solving 1-step word problem using any of the four fundamental operations. References: BEC PELC I A 5.a Enfolding Mathematics V Materials: charts, flashcards III. Learning Experiences: A. Preparatory Activities: 1. Mental Computation: Drill on the basic addition, subtraction, multiplication and division facts. Mechanics: 1. Divide the pupils into the boys and the girls group 2. One member from each group will stand at the back of the room. 3. As the teacher flashes a card, they answer and the one who gives the correct answers first advances forward. 4. The groups that gets the most points is the winner. 2. Review: Review steps in problem solving B. Developmental Activities: 1. Motivation When you visit a place for the first time, what do you do when you go back home? 2. Presentation Strategy: Making an organized list Problem Opener Nena was to buy 3 different souvenirs. She has P100 to spend. How many different combinations can she choose from? Boardwalk Souvenirs Mug P 15.00 Poster P 25.00 T-shirt P 50.00 Key chain P 25.00 Handkerchief P 20.00 Prices include tax a. What are the given data? b. What is asked in the problem? c. What operation are you going to use? d. What are all the possible mathematical sentences? e. Which 3 items cost exactly P 100.00?
24. 24. 3. Practice Exercises Solve the following exercises a. In 1997, Mr. Martinez sold 12 496 chicken during the first quarter, 10 724 during the second quarter, and 23 318 chickens during the third quarter. How many chickens were sold in 3 quarters? b. Mr. Sison sold 41 000 kilograms of copra in January and another 29 368 kilograms in June. How many more kilograms of copra did he sell January than in June? 4. Generalization What are the steps in solving word problems? 5. Application: Solve the following problem a. In 1997, Mr. Martinez sold 12 496 chicken during the first quarter, 10 724 during the second quarter, and 23 318 chickens during the third quarter. How many chickens were sold in 3 quarters? b. Mr. Sison sold 41 000 kilograms of copra in January and another 29 368 kilograms in June. How many more kilograms of copra did he sell in January that in June? IV. Evaluation: Solve the following problem 1. Omar collected 31 242 eggs. He sold 19 568 eggs to store owners. How many eggs were left unsold? 2. There were 4 grade levels which joined the parade in Luneta. Each grade level had 42 pupils. How many pupils in all joined the parade? V. Assignment Solve the following problem 1. During the Clean and Green Week celebration, 1 246 boy scouts and 1 038 girl scouts joined in planting tree seedlings in Antipolo Hills. How many scouters in all joined the tree planting? 2. The Boracay Beach in Aklan had 45 362 quest last year. If 31 625 were Filipinos and the rest were foreigners, how many foreigners went to Boracay last year? 3. Miss Lorenzo distributed 3 264 squares of cloth equally among 16 girls to make a table cover. How many squares of cloth did each girl receive?
26. 26. 5. Application: Read and Solve 1. An airplane covered the following distances in 3 trips: 1 200 miles, 1 072 mile and 1 580 miles. The average speed of the plane was 550 miles per hour. What was the average distance covered in 3 trips? 2. An egg vendor bought 600 eggs from the Soler Farm. She paid Php 28.00 per dozen. How much did she pay for all the eggs? IV. Evaluation: Read and Solve 1. An airplane covered the following distances in 3 trips: 1 300 miles, 972 miles and 1 580 miles. The average speed of the plane was 550 miles per hour. What was the average distance covered in the tree trips? 2. Mr. and Mrs. Lagman bought a house and lot of Villa Calamba worth P 300 000.00. They made an initial payment of P 60 000.00. How much was the yearly amortization if they agreed to pay for 15 years? V. Assignment Solve the following problem 1. The PTA donated P 39 510 to the school to buy 15 typewriters. If each typewriter cost P 3 000.00 how much was the school’s share? 2. In the children’s store, 285 thin notebooks and 325 thick notebooks were sold and the rest were arranged in 15 shelves. How many notebooks were in each shelf? 3. The Grade V pupils went on a field trip to Tagaytay. They hired as bus for P 2 445 and a minibus for P 1 235. The school gave P 1120 and the rest was shared equally by the 32 pupils. How much did each pupil pay?
27. 27. MATHEMATICS V Date: ___________ I. Objectives:  Differentiate odd from even numbers II. Learning Content Skills: Differentiate odd from even numbers References: BEC PELC I A 5.1.1 Enfolding Mathematics V Materials: concrete objects, number cards III. Learning Experiences: A. Preparatory Activities: 1. Drill : Drill on discussing patterns Write the missing numbers 1. 20, 22, 26, 32, ___, ___, ___, 76 2. 4321, 1432, 2143, ____ 3. 68, 67, 64, 59, ___32 2. Review: Read then do what is told. 1. Skip counting by 3 from 6 to 30 2. Skip counting by 5 between 10 to 40 3. Skip counting by 4 B. Developmental Activities: 1. Motivation: Do you play games? What is the importance of games? How would you show sportsmanship? 2. Presentation Strategy: Use a game “The boat is sinking” Mechanics a. The teacher asks the pupils to stand occupying the wide space of the room. (number of pupils 36) b. If the teacher gives the signal “Group yourselves into 2, the pupils will group themselves into 2. c. Teacher asks if everybody has a partner. The answer will recorded on the board. d. The teacher repeats the signal giving another number, example into 3 and so on. e. The results will be recorded on the board f. Analysis and discussion will be done based on the results written on the board. The teacher must see to it that it is clear to the pupils that even numbers are divisible by 2 while odd number is a number with remainder 1 when it is divided by 2. 3. Practice Exercises Write odd or even on the blank before each number. ______ 1. 3 104 ______3. 4 100 ______ 5. 5 778 ______ 2. 263 ______ 4. 377 4. Generalization How do you differentiate an odd number from an even number?  Numbers divisible by 2 are even numbers. Even numbers end in 0, 2, 4, 6 and 8
28. 28.  Numbers when divided by 2 and have a remainder of 1 are odd numbers. Odd numbers end in 1, 3, 5, 7, and 9 5. Application: Write odd or even on the blank before each number. 1. 3 104 2. 263 3. 5 778 4. 1 345 5. 377 IV. Evaluation: Encircle the correct answer. If y is an odd number and x is an even number then: 1. y + y = odd, even 2. x – x = odd, even 3. y + x = odd, even 4. y ÷ x = odd, even 5. x x y = odd, even V. Assignment Answer each Question: 1. If n is an odd number and p is an even number, then p + p + n = _______. 2. What will you get if you add three odd numbers and an even number? 3. Give the difference between the two odd numbers right after 20. 4. Add the consecutive even and odd numbers after 5.
30. 30. 3. Practice Exercises Find the GCF using continuous division 1. 9 2. 12 3. 14 4. 12 5. 18 12 16 21 18 27 4. Generalization  What are the methods of finding the GCF of numbers?  The methods for finding the GCF of numbers are list down method, prime factorization method and continuous division. 5. Application: Express each number as a product of its prime factors. Find the GCF. 1.18 = 2. 24 = 3. 12 = 27 = 30 = 24 = GCF = 36 = 18 = GCF = GCF = IV. Evaluation: Give all the factors of each number then box the GCF 1. 4 = ? 2. 12 = ? 3. 38 = ? 8 = ? 30 = ? 46 = ? 20 = ? V. Assignment Solve each problem: 1. If the GCF of two numbers is 36, what are some of the prime factors of each number? 2. The letter N represents a number between 50 and 60. The GCF of N and 16 is 8. Find N.
31. 31. MATHEMATICS V Date: ___________ I. Objectives:  Identify prime and composite numbers II. Learning Content Identifying Prime and Composite Numbers References: BEC PELC I A 5.1.2 Enfolding Mathematics V Materials: Coins III. Learning Experiences: A. Preparatory Activities: 1. Drill : Mental drill on identifying prime and composite Game: Coin Collection Mechanics: 1. Divide the class into 2 groups. Group of boys and group of girls. 2. Ask them to collect different denominations of Philippine coins from their packets. 3. Make a coin collection project after collecting the coins from the members of the group. 4. Ask the leader of the group to present their coin collection. 5. The group that has the greatest number of coins wins the contest. 2. Review: Give the factors of the following numbers. 36 72 64 18 24 12 B. Developmental Activities: 1. Motivation: Teacher shows pebble and leads the class to answer the following: What s this? Where do we usually find many of this? Does it have any use? Where do we use it? 2. Presentation Getting GCF through Factorization Method Using the given numbers 16 and 20 teacher guides the pupils to gets the GCF using the factorization method. Game: Puzzle Mechanics a. Get 12 pupils from the class b. Give each pupil a letter to form the word puzzle c. When the teacher says start,the 12 pupils start to work together to form the puzzle. d. What word is formed from the puzzle (prime factor) Question: What is the GCF of 20 and 16? How did you get the GCF of 20 and 16 through factorization? 3. Practice Exercises List the factors of each number. Then encircle the number if it is prime. 1. 36 2. 18 3. 20 4. 45 5. 12 6. 26
32. 32. 4. Generalization  What are prime numbers? Give examples.  What are composite numbers? Give examples. 5. Application: List the factors of each number. Then encircle the number if it is prime and box the composite. 1. 28 2. 13 3. 21 4. 16 5. 31 IV. Evaluation: Write P if the number is composite and C if it Is composite. 1. 18 = 2. 12 = 3. 24 = 4. 27 = 5. 24 = 6. 30 = V. Assignment: 1. Name the prime numbers between 1 – 100. 2. Name the composite numbers between 50-100.
33. 33. MATHEMATICS V Date: ___________ I. Objective:  Identify prime and composite numbers II. Learning Content: Identifying prime and composite numbers References: BEC-PELC I A 5.1.3 Enfolding Mathematics V Materials: flashcards, word problem written on manila paper III.Learning Activities: A. Preparatory Activities: 1. Drill: Drill on odd and even numbers a. 89 b. 24 c. 98 d. 11 2. Review:  What are the methods of finding the GCF of numbers? B. Developmental Activities: 1. Motivation: Teacher shows a pebble and leads the class to answer the following: What is this? Where do we usually find many of this? Does it have any use? 2. Presentation:  Strategy Using Objects 1. Pupils will be grouped. Each group will be given pebbles which they will arrange into different arrangements. 23 39 29 How many arrangements were made for each number? Number of Pebbles Possible arrangements No. of possible Arrangements 23 39 29 3. Practice Exercises List the factors of each number. Then encircle the number if it is prime. Example: 6 1, 2, 3, 6 3 1, 3 1. 48 _______ 3. 53 _______ 5. 79 _______ 2. 36 _______ 4. 64 _______ 4. Generalization What are the prime numbers? 5. Application: List the factors of each number. Then encircle the number if it is prime. Example: 6 1, 2, 3, 6 3 1, 3
34. 34. 1. 72 _______ 3. 71 _______ 5. 91 _______ 2. 48 _______ 4. 37 _______ IV. Evaluation: Write P if the number is prime and C if it is composite _____ 1. 28 _____ 3. 21 _____ 5. 31 _____ 2. 13 _____ 4. 16 V. Assignment: Answers the questions 1. Name the prime numbers between 1 and 50. 2. Name the prime numbers between 50 and 100 3. Name two composite numbers that are prime.
35. 35. MATHEMATICS V Date: ___________ I. Objective:  Find the prime factors of a number II. Learning Content: Finding the prime factors of a number References: BEC-PELC I A 1.4 Enfolding Mathematics V Materials: Chart, flashcards III.Learning Activities: A. Preparatory Activities: 1. Drill: Mental Computation Give the factors of the following numbers 1. 48 2. 24 3. 28 4. 32 5. 16 2. Review: “Relay” Tell whether the following numerals are prime or composite – use flashcards 1. 17 2. 3 3. 5 4. 21 5. 19 B. Developmental Activities: 1. Motivation: Give the number combinations when multiplied will give the product of 18. 2. Presentation Strategy 1: Making an organized list Group Activity: 1. Use the prime numbers listed on the board (2, 3, 5, 7) as factors 2. Name 2, 3 or 4 of the primes, multiply them and record the numbers sentence. 3. Try to find all possible products for the four numbers 4. Chart all findings in a table. These are some of the expected outputs: 2 x 3 = 6 2 x 3 x 5 = 30 3 x 5 = 15 2 x 7 = 14 3. Practice Exercises Find the prime factors of these numbers using any method. 1. 78 2. 80 3. 48 4. 28 5. 34 4. Generalization How do we find the prime factors of a number? 5. Application: Find the prime factors of these numbers using any method. 1. 30 2. 28 3. 24 4. 16 5. 42
36. 36. IV. Evaluation: Give the prime factors of the following numbers in exponential form. 1. 60 2. 48 3. 160 4. 95 5. 180 V. Assignment: Write the prime factors of the following. 1. 84 2. 60 3. 90 4. 70 5. 88
37. 37. MATHEMATICS V Date: ___________ I. Objective:  Show multiplies of a given number by 10, 100 II. Learning Content: Showing multiplies of a given number by 10, 100 References: BEC-PELC I A 5.1.5 Enfolding Mathematics V Materials: flashcards III.Learning Activities: A. Preparatory Activities: 1. Drill: Finding prime and composite numbers 1. 60 2. 48 3. 160 4. 95 5. 180 2. Review: Finding on the common factors and GCF of given numbers 1. 9 2. 12 3. 18 4. 14 5. 12 12 16 27 21 18 B. Developmental Activities: 1. Motivation Present a number tree. What is the use of this tree? Do you still remember this tree? 2. Presentation Strategy – Using Prime Factorization What is the least common multiple (LCM) of 6 and 8? Of 60 and 80? 60: 2 x 2 x 5 x 3 80: 2 x 2 x 5 x 2 x 2 LCM 240 - What kind of numbers are 6 and 8? - 60 and 80 are multiples of what number? - How do we get 24? - What is the LCM OF 60 and 80? 3. Practice Exercises Determine the LCM of these numbers. 1. 35, 63 2. 48, 72 3. 50, 60 4. 30, 40 5. 100, 200 4. Generalization What are the multiples? What is the least common multiple? 5. Application: Find the LCM of each pair of numbers. 1. 4: 2. 6: 3. 6: 9: 15: 12: LCM LCM LCM
38. 38. IV. Evaluation: The prime factorization of each number is given. Give the LCM of each pair of numbers. 1. 6: 2 x 3 2. 9: 3 x 3 3. 8: 2 x 2 x 2 9: 3 x 3 15: 3 x 5 12: 2 x 2 x 3 LCM LCM LCM V. Assignment: Express each number as a product of prime factors. Then find the LCM Example: 18: 2 x 3 x 3 27: 3 x 3 x 3 1. 18 = 2. 36 = 3. 54 = 4. 12 = 5. 30 =
39. 39. MATHEMATICS V Date: ___________ I. Objective:  Find the least common multiple of a set of numbers II. Learning Content: Finding the least common multiple of a set of numbers References: BEC-PELC I A 5.1.6 Enfolding Mathematics V Materials: flashcards, paper, ruler III.Learning Activities: A. Preparatory Activities: 1. Drill: Give the next 3 numbers in the sequence. 1. 0, 3, 6, 9 2. 0, 5, 10, 15 3. 0, 7, 14, 21 2. Review: Finding the GCF of given numbers using the prime factorization: a. 24 and 36 b. 15 and 40 c. 12 and 24 B. Developmental Activities: 1. Motivation: Recall the concept of multiples through skip counting. Do you know how to skip count by 6? 8? 7? 9? 2. Presentation Strategy 1: Drawing tables/Making an organized list. 1. Divide the class into groups. Each group will be given dot papers for the activity. 2. Activity cards will be distributed among the groups as shown below: Manipulative Activity 1. Choose a number from 3-7. 2. Show multiples of the number on dot paper by circling rows of dots. Example: if 3 is chosen, circle rows 3, 6, 9, 12 and 15 dots. 3. Repeat the activity using different numbers. 3. Practice Exercises Give the least common multiple (LCM) 1. 6 and 8 2. 3 and 6 3. 10 and 4 4. Generalization What is the least common multiple (LCM) of a set of numbers? 5. Application: Find the prime factors of these numbers using any method. 1 30 2. 28 3. 24 4. 16 5. 42 IV. Evaluation: Give the least common multiple for each pair of numbers: 1. 6 and 15 2. 12 and 24 3. 12 and 18 4. 15 and 6 5. 10 and 15
40. 40. V. Assignment: Find the LCM of these set of numbers. 1. 8, 12, 30 4. 4, 10, 8 2. 12, 20, 45 5. 9, 12, 18 3. 18, 27, 35
41. 41. MATHEMATICS V Date: ___________ I. Objective:  State divisibility rules for 2, 5 and 10 II. Learning Content: State divisibility rules for 2, 5 and 10 References: BEC-PELC I A 1.7 Enfolding Mathematics V Materials: set of cards with number 0 to 9, flashcards III.Learning Activities: A. Preparatory Activities: 1. Drill: Mental Math Drills on Easy Division using flashcards. Example: 126 ÷ 3 = n 522 ÷ 6 = n 255 ÷ 5 = n 2. Review: On multiples of a number. Give the 1st multiples of: 1. 4 2. 3 3. 5 4. 6 5. 8 B. Developmental Activities: 1. Motivation: Play “The boat is sinking” 2. Presentation Teacher classifies numbers of students according to which are divisible by 2, 5 or 10. teacher summarizes the numbers by writing these on a separate table. Ask students to observe carefully the numbers divisible by 2. Ask what they notice. Continue to elicit observations until the rule for divisibility by 2 is mentioned. Do the same divisibility by 5 and 10. Provide big numbers written on flashcards and have students categorize these as divisible by 2, 5 or 10. 3. Practice Exercises Write on the blank before each item whether the given number is divisible by 2, 5 or 10. ____ 1. 16 ____ 3. 30 ____ 5. 650 ____ 2. 125 ____ 4. 344 4. Generalization Recall all the divisibility rules. For 2: All numbers ending in 0, 2, 4, 6, 8 are divisible by 2. For 5: All numbers ending in 0 or 5 For 10: All numbers ending in 0 5. Application: Write on the blank before each item whether the given is divisible by 2, 5 or 10. _____1. 16 _____2. 125 _____3. 30 _____4. 444 _____5. 650
42. 42. IV. Evaluation: Encircle the numbers which are divisible by the given number before each item. _____ 1. 17, 16, 20, 15 _____ 3. 52, 15, 60, 156 _____ 5. 35, 54, 105, 153 _____ 2. 40, 14, 25, 300 _____ 4. 38, 45, 70, 85 V. Assignment: Put a check on the blank if the first number is divisible by the second. 864, 2 ____ 606, 10 ___ 108, 2 ____ 405, 5 ____ 700, 10 ____
43. 43. MATHEMATICS V Date: ___________ I. Objective:  State the divisibility rules for 3, 6 and 9 II. Learning Content: State divisibility rules for 3, 6 and 9. References: BEC-PELC I A 1.7 Enfolding Mathematics V Materials: flashcards, pocket chart III.Learning Activities: A. Preparatory Activities: 1. Drill: (Mental Computation) Easy Division: 1. 366 ÷ 6 = n 3. 387 ÷ 7 = n 2. 148 ÷ 2 = n 4. 488 ÷ 4 = n 2. Review: Review of previous lesson: Divisibility of 2, 5 and 10. Place the check cards under the correct column by which the numbers are divisible. 2 5 10 3000 4124 775 726 B. Developmental Activities: 1. Motivation: Who among you are members of the student council? As a member what do you usually do to help your co-students in school? 2. Presentation Strategy: Use a problem Opener. The school helpers are setting up the auditorium for the students’ council meeting. There are a total of 197 mono-block chairs which they have to set up in either rows of 3, 6 or 9 which are set ups. 1. Ask the student: What are given? What is being asked? How may we solve the problem? 2. Ask the student: If you were one of those who have to set up the auditorium, What would you do? 3. Have students solve the problem by actual division. 4. Tell the students that using the divisibility rules will help in identifying if a number is divisible by another number without actual division.
44. 44. 3. Practice Exercises Put a check under the correct column applying the rules for divisibility. 3 6 9 120 315 8640 4176 4. Generalization What are the rules of divisibility? 5. Application: Put a check on the blank if the first number is divisible by the second number. 261,6_____ 6453,9_____ 345,3_____ 459,3_____ 114,6_____ IV. Evaluation: Which of the following numbers are divisible by 3, 6 or 9. write 3, 6 or 9 or which ever of the three in the blank. ______ 1. 630 ______ 4. 4110 ______ 2. 363 ______ 5. 846 ______ 3. 423 V. Assignment: Encircle the numbers which are divisible by the given number before each item. ______ 1. 54, 261, 346, 84 ______ 2. 657, 299, 846, 627 ______ 3. 342, 296, 357, 477 ______ 4. 843, 799, 312, 579 ______ 5. 117, 378, 1953, 216
45. 45. MATHEMATICS V Date: ___________ I. Objective:  State divisibility rules for 2, 3, 4, 5, 6, 9 and 10 II. Learning Content: State divisibility rules for 2, 3, 4, 5, 6, 9 and 10 References: BEC-PELC I A 1.7 Enfolding Mathematics V Materials: kraft paper with chart of SW III.Learning Activities: A. Preparatory Activities: 1. Drill: On easy division (mental computation-mc) 1. 488 ÷ 8 = 2. 279 ÷ 3 = 3. 168 ÷ 4 = 2. Review: Divisibility Rules - Have students recall the rules taken so far. Teacher provides 1 to 2 examples to illustrate the rule. B. Developmental Activities: 1. Motivation: Play “Sa Pula, Sa Puti” Teacher will give statement regarding application of the divisibility rules. Students are given 10- 15 seconds to determine if the statement is true or false. They are to stand in line, either in the “Pula” or “Puti” half of the room. Example: 51 is divisible by 3. 2. Presentation a. Give examples of numbers divisible by 4. Use numbers that students can readily determine as divisible by 4 and some numbers that are bid and therefore would require the use of the divisibility rule rather than actual division. b. State the divisibility rule of 4. c. Give examples d. Have the students complete the chart. 2 3 4 5 6 7 8 9 10 150 4460 1816 9915105 3. Practice Exercises Put a check under each column to tell whether each given number is divisible by 2, 3, 4 or 5. 2 3 4 5 120 405 272 504
46. 46. 4. Generalization For 2: All numbers ending in 0, 2, 4, 6, or 8 are divisible by 2. these numbers are called even numbers. For 3: All numbers ending in the number is divisible by 3. For 4: Last two digits of the number form a number divisible by 4 or the last two digits are zeros. For 5: All numbers ending in 0 or 5. For 6: The number is divisible by both 2 and 3 For 9: Sum of digits of the number is divisible by 9. For 10: All numbers ending in 0. 5. Application: Put a check under each column to tell whether each given number is divisible by 6, 9 or 10 6 9 10 120 315 8316 8640 4176 IV. Evaluation: Write on the blank before each number whether it is divisible by 2, 3, 4, 5, 6, 9 and 10. _____ 1. 423 _____ 4. 2105 _____ 2. 5746 _____ 5. 354 _____ 3. 3000 V. Assignment: Put a check mark on the blank if the first number is divisible by the second number. 483, 6 ______ 624, 4 ______ 1368, 9 ______ 821, 2 ______ 252, 5 ______ 726, 4 ______
47. 47. MATHEMATICS V Date: ___________ I. Objective:  State divisibility rules for 2, 3, 4, 5, 6, 9 and 10 II. Learning Content: State divisibility rules for 2, 3, 4, 5, 6, 9 and 10 References: BEC-PELC I A 1.7 Enfolding Mathematics V Materials: kraft paper with chart of SW III.Learning Activities: A. Preparatory Activities: 1. Drill: On easy division (mental computation-mc) 1. 488 ÷ 8 = 2. 279 ÷ 3 = 3. 168 ÷ 4 = 2. Review:Divisibility Rules - Have students recall the rules taken so far. Teacher provides 1 to 2 examples to illustrate the rule. B. Developmental Activities: 1. Motivation: Play “Sa Pula, Sa Puti” Teacher will give statement regarding application of the divisibility rules. Students are given 10- 15 seconds to determine if the statement is true or false. They are to stand in line, either in the “Pula” or “Puti” half of the room. Example: 51 is divisible by 3 2. Presentation a. Give examples of numbers divisible by 4. Use numbers that students can readily determine as divisible by 4 and some numbers that are bid and therefore would require the use of the divisibility rule rather than actual division. b. State the divisibility rule of 4. c. Give examples d. Have the students complete the chart. 2 3 4 5 6 7 8 9 10 150 4460 1816 9915105 3. Practice Exercises Put a check under each column to tell whether each given number is divisible by 2, 3, 4 or 5. 2 3 4 5 120 405 272 504
48. 48. 4 Generalization For 2: All numbers ending in 0, 2, 4, 6, or 8 are divisible by 2. these numbers are called even numbers. For 3: All numbers ending in the number is divisible by 3. For 4: Last two digits of the number form a number divisible by 4 or the last two digits are zeros. For 5: All numbers ending in 0 or 5. For 6: The number is divisible by both 2 and 3 For 9: Sum of digits of the number is divisible by 9. For 10: All numbers ending in 0. 5. Application: Put a check under each column to tell whether each given number is divisible by 2, 3, 4 or 5. 6 9 10 320 315 8316 8640 4176 IV. Evaluation: Write on the blank before each number whether it is divisible by 2, 3, 4, 5, 6, 9 and 10. _____ 1. 423 _____ 4. 2105 _____ 2. 5746 _____ 5. 354 _____ 3. 3000 V. Assignment: Put a check mark on the blank if the first number is divisible by the second number. 483, 6 ______ 624, 4 ______ 1368, 9 ______ 821, 2 ______ 252, 5 ______ 726, 4 ______
49. 49. MATHEMATICS V Date: ___________ I. Objective:  State divisibility rules for 2, 3, 4, 5, 9 and 10 II. Learning Content: State divisibility rules for 2, 3, 4, 5, 9 and 10 References: BEC-PELC I A 1.7 Enfolding Mathematics V Materials: set of cards with numbers 0 to 9 III.Learning Activities: A. Preparatory Activities: 1. Drill: basic facts of multiplication 6 x 7 9x3 5x5 8x5 7x7 3x7 4x9 6x6 2. Review: Teacher may continue giving analysis questions like in the previous days. Teacher may also modify questions to those answered by ALWAYS, SOMETIMES, or NEVER. B. Developmental Activities: 1. Motivation: Play “The boat is sinking”. 2. Presentation Promote higher order thinking skills by playing “Number Scramble” Strategy 1: a. Teacher provides each team of 4 with cards bearing numbers 0 to 9. students are to use these cards to form the number being asked for given certain conditions. b. Give an example. Explain that the students may use the cards to identify the number asked for. Example: Without repeating any digit, from the least 3-digit number divisible by 2. 3 Practice Exercises Supply the missing number to make the number divisible by the number opposite. 1. 5__1 – 3 3. 273__ - 4 5. 423__ - 3 2. 139__ - 2 4. 823__ - 6 4. Generalization Recall the rules of divisibility by 2, 3, 4, 5, 6, 9 and 10. 5. Application: Put a check mark on the blank if the first number is divisible by the second number. 483, 6 ______ 624, 4 ______ 1368, 9 ______ 821, 2 ______ 252, 5 ______ 726, 4 ______
50. 50. IV. Evaluation: Supply the missing number to make the number divisible by the number opposite. 1. 712__ - 5 3. 262__ - 9 5. 216__ - 8 2. 463__- 10 4. 385__ - 6 V. Assignment: Put a check under each column where divisibility rules apply. 2 3 4 5 6 9 10 1. 532 2. 4554 3. 249 4. 6020 5. 828
51. 51. MATHEMATICS V Date: ___________ I. Objective:  Change dissimilar fractions to similar fractions II. Learning Content: Change dissimilar fractions to similar fractions References: BEC-PELC II A 1 Enfolding Mathematics V Materials: flashcards III.Learning Activities: A. Preparatory Activities: 1. Drill: Mental Computation Drill on finding the LCM of given numbers. Example: 5, 10 2, 3 4, 6 2. Review: Recall the rules for divisibility rules by 2, 5 and 10. 3. do? B. Developmental Activities: 1. Motivation: Who among you help their parents at home after school hours? What household chore do you usually 2. Presentation Strategy 1: Using a problem opener. On Saturdays, Paolo helps his mother at home. He spends 5/6 hour in washing the clothes and 2/3 hours in cleaning the house. 1. Help the pupils understand the problem by answering some comprehension questions. Then ask: What are given? What is asked? You may further ask: What kind of boy is Paolo? 2. Lead them in planning what to do by asking some guiding questions such as. How will you find out which is greater 5-6 hour and 2/3 hours? 3. Let the pupils state the steps in changing / renaming dissimilar fractions to similar fractions. 4. Provide more practice exercises in renaming dissimilar fractions to similar fractions. 3. Practice Exercises Rename these dissimilar fractions to similar fractions 1. 3/10, 4/6 3. 10/12, 3/6 5. 2/3, 4/5 2. 5/8, ¾ 4. 4/6, 1/8 4. Generalization How do we rename dissimilar fractions to similar fractions?
52. 52. 5. Application: Rename these dissimilar fractions as similar fractions. 1. 3/10, 4/6 3. 10/12, 3/6 5. 2/3, 4/52 2. 5/80, 3/4 4. 4/6, 1/8 IV. Evaluation: Write as similar fractions. 1. 6/6, 3/9 2. 2/8, 10/12 3. 6/8, 3/10 4. 4/10, 5/12 5. 2/9, 2/4 V. Assignment: Rename these dissimilar fractions as similar fractions. 1. 6/8, 2/12 3. 6/15, 4/5 5. 4/9, 3/12 2. 3/20, 4/10 4. 2/10, 1/6
53. 53. MATHEMATICS V Date: ___________ I. Objective:  Identify equal fractions II. Learning Content: Identifying equal fractions References: BEC-PELC II A 1.2 & 1.2.1 Enfolding Mathematics V Materials: flashcards, flower cut-outs III.Learning Activities: A. Preparatory Activities: 1. Drill: basic facts in Multiplication. a. 9 x 8 = b. 8 x 5 = c. 6 x 2 = d. 7 x 6 = 2. Review: changing dissimilar fractions to similar fractions. Example: a. ( ½, 1/3 ) b. ( 5/9, 7/8) c. ( 7/10, 5/9 ) B. Developmental Activities: 1. Motivation: Have you eaten pie? What does it look likes? How many slices can you eat? Teacher shows model of pie on the board. Elicit ½ and 2/4. 2. Presentation Strategy 1: Paper folding Materials: Sheets of paper Mechanics: 1. Divide class into 6 groups. 2. Each group is given 2 pieces of paper of the same size. 3. Request them to fold the first paper into thirds. Color 1/3. Fold the second paper into sixth. Color 1/6. Fit the second paper to the colored part of the first paper. 4. Ask: What part is the same as 1/3? What can you say about 1/3 and 2/6? What can you say that 1/3 equals to 2/6? 5. Direct pupils to cross multiply What can you say about the cross products? 3. Practice Exercises Choose the set of fraction that are equal. _____ 1. a. 5/9, 7/8 b. 4/5, 8/10 c. 2/9, 3/8 d. 4/5, 3/8
54. 54. _____ 2. a. 7/10, 5/9 b. 3/5, 5/7 c. 4/5, 3/7 d. 6/15, 2/5 4. Generalization Equal fractions are fractions that name the same part of the whole. 5. Application: Give the equivalent fraction of the following. 1. 2/3 2. 4/5 3. 3/5 IV. Evaluation: On the blank before each number, write YES if the pair of fractions are equal and NO if not. _____ 1. 1/2,3/6 _____ 4. 1/3,1/6 _____ 2. 2/5,3/10 _____ 5. 5/6,3/4 _____ 3. 1/4,3/12 V. Assignment: Copy then write the missing numerator and denominator to make the statement correct.
55. 55. MATHEMATICS V Date: ___________ I. Objective:  Use cross product to determine whether 2 fractions are equal II. Learning Content: Using cross product to determine whether 2 fractions are equal References: BEC-PELC II A 1.2 & 1.2.1 Enfolding Mathematics V Materials: flashcards, flower cut-outs III.Learning Activities: A. Preparatory Activities: 1. Drill on basic facts in Multiplication. a. 7 x 3 = b. 9 x 5 = c. 7 x 6 = d. 8 x 2 = 2. Review on changing dissimilar fractions to similar fractions. Example: a. ( 7/10, 5/9 ) b. ( 5/9, 7/8) c. ( ½, 1/3 ) B. Developmental Activities: 1. Motivation: Do you love to eat cake? What type of cake do you want? 2. Presentation Strategy 1: Paper folding Materials: Sheets of paper Mechanics: 1. Divide class into 6 groups. 2. Each group is given 2 pieces of paper of the same size. 3. Request them to fold the first paper into thirds. Color 1/3. fold the second paper into sixth. Color 1/6. Fit the second paper to the colored part of the first paper. 4. Ask: What part is the same as 1/3? What can you say about 1/3 and 2/6? What can you say that 1/3 equals to 2/6? 5. Direct pupils to cross multiply What can you say about the cross products? 3. Practice Exercises Choose the set of fraction that are equal. _____ 1. a. 7/9, 4/5 b. 2/5, 8/20 c. 5/8, 3/9 d. 4/5, 3/8 _____ 2. a. 7/10, 5/9 b. 3/5, 5/7 c. 4/5, 3/7 d. 6/15, 2/5
56. 56. 4. Generalization The cross product method can be used to test if fractions are equal. If the cross products are equal then the two fractions are equal. 5. Application: Check if the fractions are equal, use the cross product method. Then write the correct symbol in the blanks. 5/9 , 7/8 4/5,8/10 2/9,4/18 IV. Evaluation: Check if the fractions are equal, use the cross product method. Then write the correct symbol in the blanks. V. Assignment: Write the next 3 consecutive fractions that are equal to the given example.
57. 57. MATHEMATICS V Date: ___________ I. Objective:  Change dissimilar fractions to lower or higher term. II. Learning Content: Changing dissimilar fractions to lower or higher term. References: BEC-PELC II A 1.2 & 1.2.1 Enfolding Mathematics V Materials: cartolina strips, activity sheets,chart III.Learning Activities: A. Preparatory Activities: 1. Mental Computation Drill on basic division facts a. 9 ÷ 3 = b. 8 ÷ 4 = c. 15 ÷ 5 = d. 8 ÷ 2 = 2. Review on finding the GCF Find the GCF a. 9 = ? b. 12 = ? c. 14 = ? d. 18 = ? 12 = ? 16 = ? 21 = ? 27 = ? B. Developmental Activities: 1. Motivation: Do you love to eat cake? What type of cake do you want? 2. Presentation Strategy 1: diagram 1. Show models of the same size of cake. Shade 4/8 of the cake. Shade 2/4 of the cake. Shade ½ of the cake. 2. Compare the parts you shaded. 3. What fraction in the simplest form will name a part equivalent to 6/9? 4. Other fractions will be provided for the pupils to work on. 3. Practice Exercises Reduce the following fractions to simplest form. 1. 16/20 = 3. 8/24 = 5. 6/27 = 2. 14/28 = 4. 21/24 = 4. Generalization How did we change a fraction to lowest term? How can we identify fraction in the lowest term?
58. 58. 5. Application Reduce the following fractions to lowest form. 1. 16/20 2. 14/28 3. 8/24 IV. Evaluation: Box the fraction in the higher term. Transform fractions in the lowest terms. 1. 3/7 2. 3/9 3. 9/10 4. 1/5 5. 6/8 V. Assignment: Encircle the fraction which does not belong to the group. Give your reason.
59. 59. MATHEMATICS V Date: ___________ I. Objective:  Estimate fractions close to 0, ½ or 1 II. Learning Content: Estimating fractions close to 0, ½ or 1 References: BEC-PELC II A 2 Enfolding Mathematics V Materials: Bingo cards,flashcards, number line, illustration boards. III.Learning Activities: A. Preparatory Activities: 1. Drill on rounding off whole numbers Strategy 1: BINGO card Materials: BINGO cards and flashcards Mechanics: a. Divide the class into 5 groups. b. Distribute BINGO cards, one to each group. Rounded numbers are written on BINGO cards. c. Teacher posts the diagram of the winning BINGO. d. Teacher starts showing a flashcard, example, 834 (nearest tens) 9426 (nearest hundreds) 2. Review on comparing fractions. How did we change a fraction to lowest term? How can we identify fraction in the lowest term? B. Developmental Activities: 1. Motivation List fractions that are less than ½. Factions that is greater than ½. 2. Presentation Strategy 1: use of the number line Mechanics: 1. Divide the class into 6 groups. 2. Distribute illustrations boards, one to each group. 3. Teacher request each group to show the following fractional parts in the number line. Group 1: ½ to 12/12 Group 2: 1/10 to 10/10 Group 3: 1/9 to 9/9 Group 4: 1/8 to 8/8 4. Tell each group to show ½, ¼, ¾ and 1 in the number line. 5. Answer the following questions. Which fractions are close to 0? Which fractions are close to ½?
60. 60. 3. Practice Exercises Estimate the following fractions if they are close to 0, ½, or 1. Write the correct estimate at the blank before the number. _____ 1. ¾ _____ 4. 11/13 _____ 2. 5/12 _____ 5. 3/17 _____ 3. ¾ 4. Generalization In estimating fractions, we have to consider both numerators and denominators. 5. Application Answer the following questions. Choose the letter only. 1. Which fraction is close to 0. a. 7/8 b. 2/10 c. 6/10 d. 11/12 2. Which fraction is close to 1. a. 2/9 b. 4/8 c. 14/15 d. 1/6 3. Which fraction is close to 1/2. a. 8/14 b. 4/8 c. 13/14 d. 1/7 IV. Evaluation: Put a check mark on the appropriate column that best describes the fractions. Fraction Close to 0 Close to ½ Close to 1 1. 9/10 2. 2/12 3. 1/7 4. 9/12 5. 3/10 V. Assignment: 1. Draw a number line showing 1/12 to 12/12 on an illustration board. 2. List the fractions that are close to 0, 1/2, or 1
62. 62. 5. Application Find the sm. Reduce answers to lowest form. 1. 13/20 + 5/20 = 2. 6/14 + 2/14= 3. 2/9 + 1/9 + 4/9 = IV. Evaluation: Find the sum. Reduce answers to simplest form. 1. 4/8 + 1/8 = 3. 3/8 + 3/8 = 5. 3/10 + 2/10 = 2. ¾ + ¾ = 4. 4/9 + 1/9 + 6/9 = V. Assignment: Find the sum and give the answer in simplest form. 1. 2/5 + 8/5 + 3/5 = 3. 5/12 + 2/12 + 4/12 5. 4/15 + 1/15 + 5/15 2. 11/12 + 1/12 = 4. 2/7 + 3/7 =
63. 63. MATHEMATICS V 2ND GRADING PERIOD Date: ___________ I. Objectives: Cognitive: Visualized addition of dissimilar fractions without and with regrouping Values: Peace and harmony II. Learning Content Skills: Visualized addition of dissimilar fractions without and with regrouping References: BEC PELC II B 1.2 Enfolding Mathematics V Materials: flashcards, game boards for square deal, fraction chart, strips III.Learning Experiences: C. Preparatory Activities: 1. Drill on adding similar fractions will be flashed to the class. The pupils give the correct answer. 2. Motivation: Can we mix oil with water? Why? Similarly, we cannot just put together dissimilar fractions, can we? D. Developmental Activities: 6. Presentation: Strategy: Modeling Using a problem opener Mother has one whole cake. First she sliced 1/3 and then 1/6 if the cake. What part of the cake did she slice? 1. 1 3 6 Ask: What parts of the cake had been sliced off? What was the total part of the cake that was sliced off? 1 1 3 6 1
64. 64. 2 7. Practice Exercises Use diagrams or fractions regions to add the following. 1. 2 + 1 = 3. 2 + 5 = 5. 5 + 1 = 3 4 3 9 8 2 2. 2 + 1 = 4. 3 + 1 = 6 3 8 4 8. Generalization: How can we add fractions if they are dissimilar? (We make them similar) IV. Evaluation: Complete the diagrams by shading them correctly showing the given addition statements. Rename the answers if needed. V. Assignment Find the sum 1. 11 + 5 = 3. 2 + 7 = 5. 5 + 1 = 12 6 3 8 6 5 2. 1 + 3 = 4. 7 + 3 = 4 5 10 4
66. 66. IV. Evaluation: Rename these fractions as similar fractions. Add then express the sum in lowest term if possible 1. 2 + 3 = 3. 1 + 3 = 5. 5 + 1 = 8 4 4 6 8 4 2. 2 + 1 = 4. 6 + 1 = 8 2 10 2 V. Assignment Findthe sum andif necessaryreduce the answerinitssimplestform. 1. 3 + 4 = 3. 6 + 7 = 5. 5 + 10 = 6 10 15 10 9 15 2. 8 + 5 = 4. 2 + 3 = 12 9 10 4
67. 67. MATHEMATICS V Date: ___________ I. Objectives: Cognitive: Add dissimilar fraction and whole number Values: Industry II. Learning Content Skills: Adding the dissimilar fractions and whole numbers References: BEC PELC II B 1.4 Enfolding Mathematics V Materials: fraction cards, fraction strips, cut-outs II. Learning Experiences: A. Preparatory Activities: 1. Mental Computation Drill on giving the LCD of given fractions Example: 4 , 2 4 , 2 4 , 2 5 3 5 3 5 3 2. Motivation: Who among you have tasted sweet tamarind candies? Do you have an idea what ingredients they have? B. Developmental Activities: 1. Presentation: Strategy: Modeling Paper Folding Use a problem Opener Last week, Mr. Sanchez worked three days in his vegetable garden. He worked 1/3 hour en the first day, 3/6 hour on the second day and 2 hours on the third day. How long did he work in all? 1. Do as in strategy l-numbers 1 and 2 you may further as: What good trait do you think has Mr. Sanchez for having a vegetable garden at home? How can such garden help in sustaining a family's day to day expenses? What other benefits can you get for maintaining such garden at home? 2. Divide the class in-groups. Give each group circular cutouts of uniform sizes. 3. Focus their attention on the number sentence they have written on the board. 4. Let your represent each addend using the circular cut-outs 5. Lead the pupils to notice that the fractions have ' different denominators and are therefore unlike fractions. 2. Practice Exercises Find the sum. Express answer in simplest form if possible 1) 4 + 6 + 2 + 3 3) 2 + 1 + 2 + 9 5) 8 + 6 + 3 + 4 3 4 8 2 8 6 2) 5 + 3 + 15 4) 10 + 6 + 1 10 6 12 3
68. 68. 3. Generalization: How do we add dissimilar fractions and whole numbers? - Change the dissimilar fractions to similar fractions then add following the rules in adding similar fractions Add the whole numbers - Express the answer in lowest tem of possible IV. Evaluation: Find the sum. Express the answer in lowest term of possible 1) 7 + 12 + 3 + 2 = 3) 9 + 3 + 7 + 11 = 5) 15 + 9 + 3 = 10 6 15 6 14 8 2) 9 + 5 + 4 = 4) 6 + 7 + 4 + 3 = 12 8 20 8 V. Assignment Findthe sum: Write the answerinthe lowesttermif possible 1) 8 + 10 + 2 + 4 = 3) 8 + 3 + 6 + 4 = 5) 18 + 6 + 4 = 12 9 10 8 15 10 2) 6 + 2 + 7 + 2 + 3 = 4) 12 + 2 + 7 + 3 = 4 9 10 6
69. 69. MATHEMATICS V Date: ___________ I. Objectives: Cognitive: Add whole numbers and mixed forms Values: Spending Time Wisely II. Learning Content Skills: Adding whole numbers and mixed forms References: BEC PELC II B 1.5 Enfolding Mathematics V Materials: cut-outs, cardboard/cartolina, pair of scissors II. Learning Experiences: A. Preparatory Activities: 1. Mental Computation Drill on changing fractions to simplest form 2. Review on adding mixed forms and similar fractions. B. Developmental Activities: 1. Presentation: Strategy: Cut-it-Out (Modeling) Mechanics: 1. The class will be divided into groups of five members. 2. Pupils will cut figures (whole and fractions) from the cartolina. 3. After cutting figures, pupils will construct problem exercise using the cutouts 4. The groups will exchange each others work and do the excises. 2. Practice Exercises Add the following 1) 4 + 2 7 = 3) 5 + 5 3 = 5) 9 + 3 4 = 8 4 5 2) 5 + 10 1 = 4) 7 5 + 3 = 2 6 3. Generalization: What kind of numbers did we add today? How do we add mixed forms and whole numbers? IV. Evaluation: Add the following. 1) 6 + 3 1 = 3) 9 + 1 2 = 5) 6 + 4 = 10 3 7 2) 4 + 5 = 4) 18 + 5 3 = 5 8
70. 70. V. Assignment Thinkof an additionstatementthatwouldgive the followingasthe answer. (Guessandcheck) 1. ______ + ______ = 11 3 4 2. ______ + ______ = 16 5 8 3. ______ + ______ = 9 4 9 4. ______ + ______ = 16 7 10 5. ______ + ______ = 13 5 11
72. 72. IV. Evaluation: Add. Reduce answer to simplest form. 1) 6 2 + 1 = 2) 8 5 + 1 = 3) 2 1 + 2 = 3 6 10 4 4 6 4) 10 5 + 3 = 5) 7 7 + 2 = 8 6 10 5 V. Assignment Find the sum. 1) 3 2 + 1 = 2) 9 4 + 3 = 3) 17 3 + 3 = 7 3 16 4 6 8 4) 4 8 + 3 = 5) 7 + 1 + 3 = 10 4 12 8
73. 73. MATHEMATICS V Date: ___________ I. Objectives: Cognitive: Add a mixed form Values: Cooperation II. Learning Content Skills: Adding of Mixed Form References: BEC PELC II B 1.7 Enfolding Mathematics V Materials: flashcards, show me cards, pieces of art paper, fraction chart II. Learning Experiences: A. Preparatory Activities: 1. Mental Computation. Drill on covering fractions to lowest terms. Strategy: Oral Contest Mechanics: a. Divide the class into 6 groups (columns) b. The first pupil in each group gives the simplest form of the given fraction. c. The pupil who gives the correct answer earns the point for his group. d. Teacher continues flashing fractions to be answered by the next pupil from each group. e. Continue the game until all the pupils have participated. f. The team with the most number of points wins. B. Developmental Activities: 1. Presentation: Strategy:Use a problem opener with concrete objects. Problem: Evelyn used 2 ½ pieces of red art paper and 1 1/3 pieces of yellow art paper to decorate her guidance notebook. How many pieces of red and yellow art papers did she use? Mechanics: 1. Divide the class into 5 groups. 2. Distribute strips of art papers,fraction chart to each group. 3. Ask each group to illustrate addition of dissimilar fractions using the strips of art paper and the fraction chart. 4. Request each group to report and explain work to the class. 5. How did you cut the pieces of art paper? What should you do with the remaining strips of paper? (Recycle) 6. What will you do with the fractions 112 and 1/3 before you can add them? How about the whole numbers? 7. Elicit from the pupils that he LCD of both fractions must first be determine to be able to rename them into equivalent fractions, and finally add them. Then add the whole numbers 8. Provide more practice items.
74. 74. 2. Practice Exercises Find the sum and if necessary reduce to lowest terms. 1) 5 ¼ + 3 2/6 2) 3 4/10 + 2 4/8 3) 1 3/9 + 5 6/12 4) 7 5/6 + 3 4/10 5) 8 5/20 + 2 1/8 3. Generalization: To add mixed numbers with dissimilar fractions, first find the LCD. Transform all fractions into similar fractions then add as in adding similar fractions. Add all the whole numbers. IV. Evaluation: Add the following and reduce the lowest terms if necessary. 1) 6 3 + 8 3 1 5 2) 2 1 + 7 8 3 4 3) 2 2 + 5 1 1 4 4) 8 1 + 4 10 2 4 5) 5 2 + 5 1 1 4 V. Assignment 1) 16 5 + 9 27 2 3 2) 18 4 + 5 25 5 6 3) 18 5 + 7 7 2 3 4) 12 3 + 8 16 5 9 5) 25 3 + 4 10 5 6
75. 75. MATHEMATICS V Date: ___________ I. Objectives: Cognitive: Estimate sums of fractions Values: Cooperation, health - wise II. Learning Content Skills: Estimating the sum of fractions References: BEC PELC II B 1.8 Enfolding Mathematics V Materials: fractions strips, fraction model and card II. Learning Experiences: A. Preparatory Activities: 1. Drill Tell whether each fractions is closer to 0, to ½ or to 1. Strategy: Contest a. Divide the class into 4 groups. b. Distribute piles of assorted fraction strips to each group. c. Pupils make a recording sheet consisting of three columns labeled 0, 1/2, 1. d. Pupils take turns recording the fractions on the strips into the columns, choosing the column closest to the fraction. e. The group which first completes the table correctly wins. 2. Motivation a. Are you fond of eating fruits? Do you frequently buy fruits from the market? What do you observe the way the vendors weigh fruits? Are they always exact or not? Why? b. If you are asked to weigh something and there is no available weighing scale, what could you do? How do you estimate certain measurements? B. Developmental Activities: 1. Presentation: Teaching Modality Mechanics: 1) Divide the class into teams of two pupils. 2) Writ e six addition problems on the chalkboard. 3) The first member on each team estimates the answer to the first problem. The second member illustrates the answer to the problem using the fraction pieces. Partners take turns in solving the six problems. 2. Practice Exercises Read and solve Bart bought 2 3f4 pounds of ham, 3 112 pounds of lamb, and 5 3/16 pounds of veal. About how much meat did they buy? 3. Generalization: How do you estimate the sum of two fractions? To estimate the sum of two fractions, round the fractions to aor 1. If the fraction is 112 or greater, round up to 1. Add 1 to the whole number. Otherwise, round down to zero
76. 76. IV. Evaluation: Estimate the sum and explain your answer. 1) 2 2 + 9 3 3 5 2) 13 5 + 8 14 1 8 3) 22 9 + 16 14 1 8 4) 7 1 2 + 8 1 10 3 8 9 5) 3 1 + 6 4 5 6 1 1 2 V. Assignment 1. Last week, Abigail spent 11 213 hours cleaning some rooms in the house and 2 213 hours publishing the silverware. How many hours did she work last week? Give the best estimate. 2. Ruben worked at the auto plant for 7 3f4 hours yesterday and 8 1f4 hours today. How many hors did he work? Estimate the sum. 3. Which two numbers come closet to a sum of 1? 3 3 3 3 3 3 5 11 2 6 4 8