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Numbers from 100 001 through Millions/Billions I. Learning Objectives Cognitive: Identify numbers from 100 001 through millions/billions Psychomotor: Write numbers from 100 001 through millions/billions Affective: Practice carefulness in writing numbers through millions/billions II. Learning Content Skills: 1. Identifying numbers from 100 001 through millions/billions 2. Writing numbers from 100 011 through millions/billions References: BEC – PELC I.A. 1.2 Textbooks in Math 4 Materials: flash cards, chart, place value chart, set of numbers written on cards with cord Value: Carefulness III. Learning Experiences A. Preparatory Activities 1. Drill Ask for 10 volunteers. Give each a number tag. Have them wear the cord with numbers from 0 to 9. Guide the pupils to form 3 – 6 – digit numbers. Ask the pupils who are sitting to read the numbers orally. Example: a) b) c) d) e) 7 3 2 1 4 2 4 7 5 8 6 0 9 8 2 7 9 5 5 4 6 3 2 1

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Numbers from 100 001 through Millions/BillionsI. Learning Objectives

Cognitive:Identify numbers from 100 001 through millions/billionsPsychomotor:Write numbers from 100 001 through millions/billionsAffective:Practice carefulness in writing numbers through millions/billions

II. Learning Content

Skills:1. Identifying numbers from 100 001 through millions/billions2. Writing numbers from 100 011 through millions/billionsReferences: BEC PELC I.A. 1.2Textbooks in Math 4Materials:flash cards, chart, place value chart, set of numbers written on cards with cordValue:Carefulness

III. Learning Experiences

A. Preparatory Activities

1. DrillAsk for 10 volunteers. Give each a number tag. Have them wear the cord with numbers from 0 to 9. Guide the pupils to form 3 6 digit numbers. Ask the pupils who are sitting to read the numbers orally.

41237Example: a)

742b)

90685c)

59728d)

123645e)

2. Review

Pick out the numbers less than 100 001 from the sets of numbers posted on the houses.

123 421

634 31245 489

7 364 99 999 100 000 436 849 8 432 10 100 6 789 436 132 7 364 99 999 100 000 436 849

3. MotivationStart by playing Guess What Number. The teacher places the following statements on the board.

a. My telephone number is III II II II III IIII.b. The space capsule is circling the earth every > > > IIIIIIc. I traveled CDLXXIV kilometers by motorcycle.

Do you think the sentences are easy to read and understand? Why?What numbers do you think these numerals represent?

B. Developmental Activities

1. Presentation

a. Read the data.

Traffic in Metro Manila is heavy because nearly one-half of the 2 904 487 vehicles in the country are registered here.

1) What is the given number? (2 904 487)2) How do we read it? (2 million, 904 thousand, 487)3) How do we write it in words? (Two million, nine hundred four thousand, four hundred eighty-seven)4) Is the number easy to read and understand? Why? (Yes, because it is written in standard form.)b. Presenting the place value chart.

MILLIONSTHOUSANDSUNITS

hundredstensoneshundredstensoneshundredstensones

2904487

2 millions9 hundred thousands0 ten thousands4 thousands4 hundreds8 tens7 ones

1) Give the digit in the one millions place, in hundred thousands place, ten thousands lace and so on.2) Give the expanded form then give the value of each digit.

2. Guided Practice

Activity 1

Put a check () if the number is in millions and a cross (x) if it is in billions.

___ a) 6 386 798___ b) 76 998 289 584___ c) 17 633 549

Activity 2

Write M if the number is in millions and B if it is in billions.___a) 89 679 289 548___b) 3 386 798___c) 456 126 834

Activity 3

Write a number on your paper that has 11 digits.1) 7 in the ten billions place.2) A digit that is 5 less than 8 in the one thousands place.3) 4 in the hundred millions place.

3. GeneralizationHow do you identify a number in million or in billion?

Million has three periods. It contains 7, 8 or 9 digits.Billion has four periods. It contains 10, 11, or 12 digits.C

C. Application

Read the data. Write the number words in figures.1. One drop of blood contains about five million red blood cells.2. The human eye can see more than seven million, five hundred thousand color differences.3. During an average lifetime, human heart beats about two billion, five hundred million times.IV. EvaluationA. Write T if the number is in thousands, M if it is in millions and B if it is in billions.

___ 1) 6 034 597___ 4) 52 758 137___ 2) 145 793 000___ 5) 425 010___ 3) 206 000 371 148

B. Examine the given numbers below. Write them in the proper place where they should belong. Be sure that the numbers in each column are written from the smallest to the greatest.

981 643 212 002305 67415 086 912

899 120357 296 32417 196 741 014

741 019

8 095 403 002357 296 2349 273 050185 451

BILLIONSMILLIONSTHOUSANDS

V. Assignment

A. Study the given numbers. Copy the number which does not belong to the group.

1) 718 345 210 340; 151 968 254; 219 742 0362) 50 307 501; 500 897 621 543; 15 718 260 3453) 258 154; 508 476; 8 696 425 4) 3 274 503; 310 608; 2 830 4585) 450 187 402; 897 500 126; 2 247 364 869

B. Arrange each of the following sets of numbers starting from thousands, millions and billions place. Rewrite them on your paper.1) 4 759 248 804; 541 298; 532 689 0124) 29 673 000; 127 683; 1 542 678 7252) 205 946 101; 423 543 103 811; 988 4155) 75 942 376 055; 24 673 503; 898 1453) 726 054; 7 685 004 208; 8 684 452Place ValueI. Learning Objectives

Cognitive:Give the place value/value of each digit in a 6- or more digit numberPsychomotor:Read and write numerals up to the hundred billions placeAffective:Participate actively

II. Learning Content

Skills:1. Identifying the place value and value of each digit in a 6- or more digit number2. Reading and writing numerals up to the hundred billionsReferences:BEC PELC I.A. 1.1Textbooks in Math 4Materials:place value chart, number cards, number words, flash cardsValues: Active participation and being considerate

III. Learning Experiences

A. Preparatory Activities1. Drill

Have a drill in the form of a game

Number Tag Gamea. Each group will have a set of numbers from 0 to 9.b. Pupils will form the number given by the teacher.The number must be less than 6 digits.Example: 79 384

c. First group to form the digit will be the winner.

2. Review

Reading and writing numerals in the standard form using different ways.

Matching Game

Mechanics:Divide the class into 2 groups. A representative from each group takes turn in answering or matching the numeral with its number name or word name.

AB

371 thousand 3 hundreds 5 tens6 ones

145Thirty-seven

1356Eight hundred twenty-six thousand, one hundred forty-one

24 2951 hundred 4 tens 5 0nes

826 14120 000 + 4 000 + 200 + 90 + 5

3. MotivationAsk the pupils why smaller pupils are seated in front while the bigger pupils are seated at the back. Help the pupils realize that people must be considerate to get along well with others.

B. Developmental Activities

1. Presentation

a. Tell the pupils that numbers are like people. They can be grouped in many ways.b. Discuss the three ways in representing the numbers in standard form.3 765

1) Word form: three thousand, seven hundred sixty-five2) Number and abbreviation form: 3th 7h 6t 5 ones3) Number and word: 3 thousands 7 hundreds 6 tens 5 ones

c. Show a place value chart which is up to the hundred billions place. Tell the pupils that our system of numeration has digits grouped in threes, we call them PERIODS.BillionsMillionsThousandsUnits

HundredsTensOnesHundredsTensOnesHundredsTensOnesHundredsTensOnes

206437612975

2. Group Activity

a. Groups will be given activity sheets with the data below written on them.b. Tell them to follow the directions in writing the data.Directions: give the place value and the value of the underlined digits

2 3 79 8 74 3 21 4 2

DigitPlace Value Value

c. Showing more exercises in identifying the place value and value of each digit in a 6- or more digit numeral using number cards. (This will be done orally.)

Give the place value and the value of the digit 6 in each numeral:a) b) 864 439 c) 826 453d) 682 975e) 86 451 197f) 126 458 360g) 26 974 431 100

d. Have a game on the different skills learned for the day.Do blackboard relay.Divide the class in columns. Each pupil takes turn in writing the correct answer on the board. The column with the most number of correct points wins.Questions:1) What is the value of 6 in 64 395?2) What is the value of 4 in 1 462 587?3) In the numeral 45 376 192, what digit is in the one millions place?4) What is the standard form of sixty-five billion, one hundred four million, two hundred thirty-seven thousand, eighty six?

5) What is the standard form for 9m 6hth 3tth 8h 7ones?

3. GeneralizationHow do you tell the place value and the value of each digit in a given number?

Valuing: Did you participate in the activities today?Rate yourself: 5-highest and 1-lowest

C. Application

Write each digit of the given number in the place value chart.1) 144 7852) 27 436 1923) 3 007 518 692BillionsMillionsThousandsUnits

HTOHTOHTOHTO

1)

2)

3)

IV. Evaluation

A. Give the value of each digit in the number 27 436 198.1) 2 ____5) 6 ____2) 7 ____6) 1 ____3) 4 ____7) 9 ____4) 3 ____ 8) 8 ____

B. Answer the following questions.

1. What is the place value of 6 in 642 321 104?a. Millionsb. Billionsc. Ten millionsd. Hundred billions2. Give the place value of 3 in 77 585 230.a. Tensb. Thousandsc. Millionsd. Hundreds3. What is the place value of the underlined digit in 72 490 321?a. Hundredsb. Ten thousandsc. Hundred thousandsd. Tens4. Give the place value of 0 in 70 243 265.a. Billionsb. Thousandsc. Millionsd. Hundreds5. In 762 241 513 214, what digit has the place value of ten billions?a. 2b. 4c. 7d. 6

V. Assignment

Write the numbers up to millions/billions in the standard form.

Reading and Writing Numbers through Millions/Billions in Symbols and in Words

I. Learning Objectives

Cognitive:Read and write numbers through millions/billions in symbols and in wordsPsychomotor:Write numbers in words correctlyAffective: Participate actively in different activities

II. Learning Content

Skill:Reading and writing numbers through millions/billions in symbols and in wordsReferences:BEC PELC I.A. 1.2Materials:flash cards, chartsValue:Cooperation

III. Learning ExperiencesA. Preparatory Activities

1. DrillReading of numbers.242 186246 386187 623305 16065 1872. ReviewTeacher will dictate these numbers and pupils will write them in their show-me-cards.682 46823 6943 7437 218946 5693. MotivationHow many digits has 723 964 157 368?Can you write the number in words?

B. Developmental Activities

1. Presentation

The land surface of the earth is 148 892 864 square kilometers and the water surface is 362 011 332 square kilometers.

a. Discuss1) How many square kilometers is the lad surface? Write it on the board.2) How many square kilometers have the water surface? Write it on the board.3) How many digits have the land surface area? How about the water surface area?4) Read the numbers.5) Write the numbers in words.b. Read and write the word name for each numeral.1) 389 152 2472) 2 714 683 3893) 1 186 792 0534) 9 544 416 9365) 7 110 313 425

2. Group ActivitiesLets have a contest. Groups 1 and 2 form your line. 5 members each group. (Infuse the value of the active participation.) Get a number card in the box and match it with the word names in the pocket chart. Those who finish first should be commended.a) 85 312 914 677b) 18 000 777 283c) 109 067 214 511d) 87 782 570 308e) 5 112 914 000

3. Fixing Skills/PracticeRead and answer the following:a. The Bureau of Forest Development donated three seedlings each for school children all over the country. The total number of seedlings was 15 223 564 821. Write this figure in words.b. Mrs. Lunas shell craft factory used five hundred eighty-six million, three hundred twenty-four thousand, three hundred eighty-two shells in one year, write the number of shells in symbols.c. Zero has no value. Can we just leave the space for zero vacant? Why?d. Is zero important in writing numbers?e. How would you write 204 000 785 083 in words?

Valuing: Did you participate in the activity? How? What did you share with your group? Do you also practice this at home? How?

4. GeneralizationHow are numbers written in words?

The numbers are written in words in the same way that they are read.

IV. EvaluationRead this numbers in words then write in symbols.1. Four hundred thirty million, two hundred thousand, two hundred seventy___________2. Fifty three billion, nine hundred twelve million, forty-five thousand, eight hundred seventeen___________3. Write nine hundred fourteen thousand two hundred sixteen in figure.___________4. How will you write twenty-nine million, eight hundred forty thousand, thirty-six in symbol?___________5. Write six million, two hundred eighty thousand, two hundred sixty in symbol___________Answer the following:1. Write 8 352 641 in words.2. Which is the correct number words for 8 631 262?a. Eight million six hundred thirty-one thousand two hundred sixty-oneb. Eight million sixty-one thousand two hundred sixty twoc. Eight million two hundred sixty twod. Eight million two hundred thousand3. Write 265 386 426 in words.4. What is the number word for 721 326 117 214?5. Write 120 416 317 in words.

V. Assignment

A. Write the number in words.a. 6 463 342 264b. 520 175 786c. 23 596 384 103

B. Write the number words in symbols.a. Two billion, three million, five hundred thirty thousand, thirty-eightb. Five hundred one billion, one hundred seventy-six thousand

Rounding Numbers to the Nearest TensI. Learning Objectives

Cognitive:Round numbers to the nearest tensPsychomotor:Use a number line to show rounded off numbersAffective:Cooperate during group activities

II. Learning Content

Skills:Rounding numbers to the nearest tensReferences:BEC PELC I.A. 2.1Textbooks in Math 4Materials: charts, activity cards, number linesValue:Cooperation

III. Learning Experiences

A. Preparatory Activities

2. DrillGuessing GameDivide the class into 2 groups. All pupils will solve the given problem as fast as they can.The first pupil who gives the correct answer wins.a. My ones digit is 2. My tens digit is thrice the ones digit. My hundreds digit is four times the ones digit and my thousand digit is the sum of the ones and the tens digit. What number am I?b. I am an 8 digit number. My thousands digit is 9. My ten millions digit is 3. My hundreds digit is 6. The other digits are 0. What number am I?

3. Review

Write the place value and the value of the underlined digit in each of the following numbers.35 49273 985789 143 78519 432 156 0004. Motivation

Read a news item that shows estimation.Examples: Last week, a company manager called for a meeting. Almost 50 employees came. Did the actual number of employees attend the meeting? What word was used which expressed an estimate? (almost)The population in our school is about 2000 pupils. What word in the sentence expresses an estimate? (about)B. Developmental Activities

1. Presentation

a. Read the problem carefully and then answer the question briefly.

Rica, a Grade 4 pupil needs 27php for her school project. She did not ask money from her parents because she has saved 30php from her daily allowance. What kind of a girl is Rica?

1) Who is Rica? What does Rica need?2) How much money does she need for the school project?3) Where did she get the money?4) How much is her savings?5) What kind of a girl is Rica?

b. Present a number line showing numbers from 20 to 30.Draw a ring around 27. Ask: Is 27 closer to 20 or 30?

20212223242526272829302. Analysis/AbstractionLooking back at the number line, is 27 nearer to 20 or to 30? Number 27 is nearer to 30 than 20. So, if we round 27 to the nearest tens, it will become 30.Valuing: How did you find the activity? What kind of a girl is Rica? Are you like Rica? Do you also save a certain amount from your daily allowance?3. Fixing SkillsLet the pupils group themselves into 4 and perform the activities in the activity sheet. Emphasize the value of cooperation. Let them relate how they cooperate with other members of their group.Group 1Original NumberRounded to the nearest tens

15

43

79

32

64

87

Group 2Original NumberRounded to the nearest tens

126

342

568

269

644

853

Group 3Original NumberRounded to the nearest tens

1 349

4 784

8 632

3 786

7 755

Group 4Original NumberRounded to the nearest tens

16 277

28 163

56 788

33 154

17 416

1. 12

4. GeneralizationHow do we round off numbers to the nearest tens?

In rounding numbers to the nearest tens, look at the digit at the right of the tens digit. If the number is 5 or more, add 1 to the tens place, if the digit is less than 5, retain the tens digit. Change the ones digit to zero.

C. ApplicationRound the following to the tens place.a. 342b. 4 638c. 5 419d. 28 326e. 49 749

IV. Evaluation

A. Answer the following questions.

1. Lyla has 38 rubber bands. Around how many rubber bands did Lyla have?a. 40b. 38c. 30d. 452. Mother bought 44 apples. Around how many apples did mother have?a. 44b. 50c. 40d. 553. When 83 is rounded off to the nearest tens, 83 will become ____________.a. 80b. 85c. 83d. 904. Round off 264 to the nearest tens.5. Round off 76 to the nearest tens.6. B. Answer each question by rounding the given number to the nearest tens.

a. Lydia has 37 rubber bands. Around how many rubber bands does Lydia have?b. Mother bought 43 bananas. Around how many bananas did mother buy?c. Mang Tony gathered 94 eggs in the poultry farm. About how many eggs did Mang Tony gather?d. If rounded to the nearest tens, 769 become ___.

V. AssignmentRound the following numbers to the nearest tens.a. 362f. 11 211b. 837g. 18 788c. 5 742h. 4 985d. 6 424i. 343e. 9 654j. 96Rounding Numbers through Hundred ThousandsI. Learning Objectives

Cognitive: Round numbers to the nearest hundreds, thousands, ten thousands and hundred thousandsPsychomotor:State the rules in rounding numbers correctlyAffective:Find joy in working with others and doing something for others

II. Learning Content

Skill:Rounding numbers to the nearest hundreds, thousands, ten thousands and hundred thousandsReferences: BEC PELC I.A. 2.2.2Textbooks in Math 4Materials:chart, number cardsValues:Cooperation and friendliness

III. Learning Experiences

A. Preparatory Activities1. DrillTeacher picks out numbers one at a time from a box. The task of each pupil is to round these numbers to the nearest tens.

37Example: 37 rounds to 40

3721 rounds to 20

2. ReviewHow do we round numbers to the nearest tens? Show examples on the board. What are the rules in rounding numbers to the nearest tens?

3. Motivation

Which of the following numbers can be rounded to 400? 600?385349562515571

B. Developmental Activities

1. Presentation

There are 371 582 residents in the city of Makati and 256 454 residents in Pasay City who are benefiting from the Clean and Green Program of the government.

Look at the table below and examine how the numbers 371 582 and 256 454 have been rounded.

NumberNearest HundredsNearest ThousandsNearest Ten ThousandsNearest Hundred Thousands

371 582371 600372 000370 000400 000

256 454256 500256 000260 000300 000

2. Analysis/Abstraction

Discuss the given problem.a. What cities benefited from the Clean and Green Program of the government?b. How many residents benefited in the city of Makati? Pasay City?c. Round 371 582 to the nearest hundreds, thousands, hundred thousands.d. Round 256 454 to the nearest thousands, ten thousands, hundred thousands.Let us try rounding numbers to the nearest: hundreds, thousands, ten thousands, hundred thousands.3. Group Activities1. Round the numbers to the nearest hundreds and to the nearest thousands.2. Round the numbers to the nearest ten thousands and to the nearest hundred thousands.c. 831 732d. 925 501e. 655 321 100f. 531 841 215g. 736 386 133

4. GeneralizationHow do we round numbers to the nearest hundreds, thousands, ten thousands and hundred thousands.

Round up if the digit to the right of the digit to be rounded is 5, 6, 7, 8, and 9.Round down if the digit to the right of the digit to be rounded is 0, 1, 2, 3, and 4

C. Application

1. Round the following numbers to the nearest ten thousands then answer the questions that follow.a. 25 743 = _____ Did you round up or down?b. 15 652 = _____ Is your answer 20 000? How did you get the answer?c. 34 730 = _____ How will you round to the nearest thousands?d. 76 348 = _____ Did you roundup? Why?e. 89 192 = _____ Is the answer 80 000? Why? State the rule.2. Read the following situations below. Tell whether the number has an exact value or an estimated value.a. Mrs. Reyes lives at 10 Monte de Piedad Street.b. There were 1 275 people at the auditorium.c. Karens student number is 15 031.d. In school, there were about 150 seats at the cafeteria.

IV. EvaluationA. Encircle the letter of the correct answer.1. If you round 9 477 to the nearest hundred, what is the answer?a. 4 000b. 9 000c. 9 400d. 9 5002. Round off 394 634 to the nearest thousands.a. 395 000b. 394 000c. 390 000d. 396 0003. 1 745 384 rounded to the nearest ten thousand is ______.a. 174 540b. 1 745 000c. 1 700 000d. 1 750 0004. When you round off 137 573 to the nearest ten thousands, it will be _______.5. The population of Brgy. Masikap is 637 268.Round off the figure to the nearest hundred thousands. _________

B. Round each of the following to its nearest specific place value.NumbersTen ThousandsHundred Thousands

1) 127 563

2) 486 170

3) 816 342

4)374 139

5)732 256

V. Assignment

Round the number to the place value of the underlined digit.a. 238 789d. 793 948b. 394 634e. 943 431c. 545 381

Rounding Numbers to the Nearest Millions and BillionsI. Learning Objectives

Cognitive:Round numbers to the nearest millions and billionsPsychomotor:Tell numbers rounded off to the nearest millions and billionsAffective:Appreciate the importance of being thrifty

II. Learning ContentSkills:1. Rounding numbers to the nearest millions and billions2. Identifying numbers rounded off to the nearest millions and billionsReferences:BEC PELC I.A. 2.2.3Textbooks in Math 4Materials:flash cards, activity cardsValue:Thriftiness

III. Learning Experiences

A. Preparatory Activities

1. DrillReading numbers through millions/billions

2. ReviewHow do we round numbers to the nearest hundred thousands?Recall the steps in rounding numbers to its nearest specific place value.

3. MotivationHave you been to a cement factory? What did you see there? Do you have an idea about the number of bags of cement that can be manufactured in a month?

B. Developmental Activities1. Presentation

Read and understand the story on the activity card carefully.Marys Cement is a big factory. It supplies cements to the whole country. Last year, Marys Cement delivered a total of 64 768 117 bags to Visayas and Mindanao. About how many bags of cement were delivered in all?

a. What products does Marys Cement Factory have?b. Is cement manufacturing a good business? Why?c. Why do most people buy cement?d. What was the actual number of cement delivered to Visayas and Mindanao?e. What will the number be if rounded off to the nearest ten millions?f. How did you get 60 000 000?g. Which of these rules do you use?Round up if the digit to the right of the digit in the millions place is 5, 6, 7, 8, or 9.Round down if the digit to the right of the millions place is 0, 1, 2, 3, or 4.Show and discuss another problem in the class.One of the wealthiest men in Asia opened a savings account in the Philippine bank with an initial deposit of 25, 643, 914, 377php. About how much is his deposit in the bank?a. Who opened a savings account in a bank?b. Why do you think he keeps his money in the bank?c. About how many billions was his initial deposit?Valuing: If you have a plenty of money, what will you do? Will you save some of it? If you have a little money, will you still save? Why? How would your savings affect your life in the future?Let the pupils show their work on activities 1 & 2 on the board.Activity 1Number64 768 117Nearest Millions65 000 000

Activity 2Number25, 643, 914, 377phpNearest Billions26 000 000 000php

2. Guided PracticeLet us play a game. For 2 groups of pupils, the yellow group and the red group. The group who can round the numbers first to the nearest millions wins. Are you ready now? The numbers are inside the boxes in front of your group.a. 8 856 000f. 23 431 785b. 4 180 374g. 42 683 360 c. 9 793 205h. 75 413 000d. 6 316 348i. 17 938 172e. 2 630 539j. 136 715 340

Do the same in billions. Call on the pupils who did not participate in the first game then give them the same directions stated in the first activity. The numbers are inside the box. Play blackboard relay.a. 2 942 628f. 23 592 176 302b. 5 341 707 333g. 47 234 346 532c. 14 603 100 784h. 92 739 316 035d. 6 421 125 000i. 16 484 148 703e. 17 725 823 421j. 345 800 000 145

Winners should be commended.

3. GeneralizationHow do we round numbers to the nearest millions/billions?

Round up if the digit to the right of the millions/billions place is 5, 6, 7, 8 and 9.Round down if the digit to the right of the place to be rounded is 0, 1, 2, 3 and 4.

C. Application

Round off to the nearest millions/billions.

NumberNearest MillionsNearest Billions

6 831 462 126a.f.

2 124 549 314 b.g.

8 314 183 512c.h.

27 573 976 249d.i.

15 439 873 831e.j.

IV. EvaluationA. Choose the letter of the correct answer.1. During the Christmas season, a hotdog company delivered 3 745 000 bags of hotdogs to 3 986 rolling stores all over the Metro Manila. Round 3 745 000 to the nearest millions.a. 4000b. 3 000 000c. 4 000 250d. 4 000 0002. A certain tire supplier distributes different sizes of tires all over the country. The number of tires is supplied 236 435 677. How will you round this number to the nearest hundred millions?a. 236 000 000b. 200 000 000c. 240 000 000d. 300 000 000B. Name the place value in which the following numbers are rounded. 1. 287 455 rounded to 290 000 _________2. 27 643 189 rounded to 28 000 000 _________3. 458 096 245 rounded to 500 000 000 _________4. 35 613 827 549 rounded to 35 610 000 000 _________5. 57 924 603 285 rounded to 58 000 000 000 _________

V. AssignmentThe table gives the distance of the five planets from the sun. Round the figures to the nearest hundred millions and nearest billions.PlanetDistance from the sun in kilometersNearest Hundred MillionsNearest Billions

1. Jupiter778 300 000

2. Saturn1 427 000 000

3. Uranus2 869 600 000

4. Neptune4 496 700 000

5. Earth150 000 000

Adding Numbers through Billions without RegroupingI. Learning Objectives

Cognitive:Add 6- or more digit numbers with 4- or more addends with sums through billions without regrouping.Psychomotor:Write large numbers in column and add them correctlyAffective:Show accuracy with numbers

II. Learning ContentSkills:1. Adding 6- or more digit numbers with 4- or more addends without regrouping2. Writing large numbers in column.References: BEC PELC I.B. 1.1Textbooks in Math 4Materials:chart with exercises, drill cards, picture of vegetable gardenValues:Accuracy and diligence

III. Learning Experiences

A. Preparatory Activities

1. DrillBasic addition factsAdminister A 1 card. Record pupils errors.2. Review a. Review or have a game on identifying the terms used in addition. (sum, addends, plus, put together, more, more than, combine, total, add, added to)b. Solve this math problem.What is the sum of 450 712 and 113 210? Discuss the steps in adding large numbers.3. MotivationShow a picture of vegetable garden. What vegetables are planted in the garden? Do you want to read a short story about this?

B. Developmental Activities1. PresentationProblem Opener

Mt. Province is home for what we call Baguio Vegetables. Everyday, it produces 230 212 kilograms of potatoes, 120 413 kilograms of beans, 111 201 kilograms of cabbage and 110 142 kilograms of carrots. How many kilograms of vegetables does the province produce daily?

How will you find the answer? Guide the pupils in stating the mathematical sentence 230 212 + 120 413 + 111 201 + 111 142 = n, where n is the total number of kilograms of vegetables.Ask the pupils to write the numbers in column.Add the onesAdd the tensAdd the hundredsAdd the thousandsAdd the ten thousandsAdd the hundred thousands

230 212230 212230 212230 212230 212230 212

120 413120 413120 413120 413120 413120 413

111 201111 201111 201111 201111 201111 201

110 142110 142110 142110 142110 142110 142

8689681 96871 968571 968

Check by adding upward.230 212120 413111 201111 142571 968Valuing: Stress the value of accuracy and diligence when writing each digit in its proper column.

2. Guided PracticeGroup yourselves into 4 groups. Add the addends to get the sum. Do it as fast as you can with accuracy. The first group to finish the exercise will do the bomb clap.

a. 1 041 002b. 2 152 1012 301 025 1 304 0243 113 210 34 101 641 + 2 120 241 + 51 012 033

c. 23 612 111d. 3 016 215 21051 024 125 1 151 030 02412 152 021 2 530 410 153 + 501 201 532 + 1 202 234 502 Give more exercises. Write in column then add.a. 410 + 102 123 + 201 021 + 104 213b. 3 240 120 + 1 211 103 + 50 213 132 + 424 104 213c. 102 022 011 + 301 531 120 + 3 421 013 104 + 2 103 213 453

3. Generalization

How do we add large numbers?

In adding large numbers, write the addends in column, add the digits in the ones first, then the tens, the hundreds and so on. Continue up to the last digit. Write the sum under each column.

C. ApplicationSolve this problem.A progressive farmer kept an accurate record of his sales in his vegetable garden for five years. His yearly sales amounted to 156 572php, 400 203php, 10 102php, 211 001php and 121 121php. What was the total amount of his sales for the last five years?

IV. EvaluationRead the following then choose the letter of the correct answer.

1. When you add 12 301; 23 135; 13 352 and 215 053. What is the sum?a. 236 741b. 263 741c. 263 147d. 237 6412. What is the total number of 202 268; 102 963 and 400 738?a. 705 989b. 405 989c. 705 998d. 750 9893. If you put together 194 870 cans of milk and 102 201 cans of sausages, what is the result?a. 707 291b. 972 071c. 792 107d. 297 0714. Add 87 593 to the sum of 903 846 and 815 489.5. What is 2 243 more than the sum of 13 458 and 21 387?

V. Assignment

Write in column then add.a. 313 112 + 201 003 + 8 241 301 + 71 203 021b. 24 321 213 + 721 034 120 + 102 512 504 + 7 112 021 012c. 27 123 614 + 111 222 331 + 110 141 303 + 6 221 232 241d. What is the result when 8 256 115, 987 140 and 12 721 234 are put together?e. A number added to 87 463 gives a result of 298 685. What is the number?

Adding Numbers through Billions with RegroupingI. Learning ObjectivesCognitive:Add 6- or more digit numbers with 4- or more addends with sums through billions with regroupingPsychomotor:Give the sum of 6- or more digit numbers with 4 addends with sums through billions with regroupingAffective:Help the community in the clean and green project

II. Learning ContentSkills:1. Adding 6- or more digit numbers with 4- or more addends with sum through billions with regrouping2. Giving the sum of 6- or more digit numbers with 4 addends with sums through billions with regroupingReferences: BEC PELC I.B. 1.2Textbooks in Math 4Materials:flash cards, chart with problemsValue: Helpfulness

III. Learning ExperiencesA. Preparatory Activities1. DrillBasic Addition Factsa. Do the relay game.b. Divide the class in groups of 10. Each pupil in the group will take turn in answering the flash cards with addition facts on the board. The group who finishes first with the most number of correct points wins.2. ReviewAdd the following:

1 203 121 0232 102 312 1122 351 213 312 +3 121 000 121

3. MotivationHave you experienced staying in the field harvesting fruits? What things did you see around? What did you feel when staying in the place with fresh air and plenty of fruits?

Valuing: What should you do to keep your community clean and green?

B. Developmental Activities1. PresentationRead the problem silently. Answer the questions that follow.

Farmers in the 4 towns of Quezon harvested a big number of coconuts. Farmers in the first town harvested 434 136 724 coconuts, the second 158 122 386, the third 3 150 924 and the fourth 1 425 260. Find the total number of coconuts harvested by the farmers in the 4 towns.

Questions: a. How many towns harvested a big number of coconuts?b. How many coconuts were harvested by the farmers in the first town, second, third and fourth?c. What is asked in the problem?d. What are we going to do to solve the problem?e. What will you add?f. What is the answer to the problem?g. What is the label for the final answer?

Discussion:Present the table to the pupils. Ask them to follow the steps by column to illustrate the process in adding the numbers.Add the onesAdd the tensAdd the hundredsAdd the thousandsAdd the hundred thousandsAdd the one millionsAdd the ten millionsAdd the hundred millions

1434 136 724158 122 3863 150 924+ 1 425 26041434 136 724158 122 3863 150 924+ 1 425 260 9411434 136 724158 122 3863 150 924+ 1 425 260294211434 136 724158 122 3863 150 924+ 1 425 2605 2941211434 136 724158 122 3863 150 924+ 1 425 26035 29411211434 136 724158 122 3863 150 924+ 1 425 260835 294112 11434 136 724158 122 3863 150 924+ 1 425 2606 835 2941 112 11434 136 724158 122 3863 150 924+ 1 425 260596 835 294

a. What are the given facts?b. What operation did you use to find the answer?c. What did you do when the sum in each place value is 10 or more?d. What is the final answer?

What can you say about the farmers of the 4 towns? (industrious, hardworking)

2. Guided Practice (Group Activities)

Find the sum.You and your partners will add in two ways. One going down and the other are going up. As soon as you have finished, say the word yes!

a. 132 416 430b. 186 433 840329 854 932 249 678 432461 503 006 123 456 789 +892 756 834 + 148 385 108

c. 400 600 500d. 302 120 612 700 300 899 674 531 421456 832 627 61 478 523+ 863 442 816 + 527 347 618

e. If the addends are 87 463 129, 458 645 and 35 185 687, what is the sum?f. What is the sum of 275 146 and 3 798 347?

3. Generalization

In adding large numbers with regrouping, add the ones first, the tens, the hundreds, and continue up to the millions and billions. Regroup in all places if necessary.How do we add large numbers with regrouping?

C. Application

Find the answer.

As a Christmas project for the needy, the government spent 223 300php for rice, 121 000php for sugar, 524 050 for sardines and 405 270 for milk. What was the total expense of the government for its Christmas project?

IV. EvaluationRead then find the sum.

1. The sum of 1 245 368; 997 465 and 943 524 is ______________.a. 2 557 889b. 2 000 557 889c. 755 988d. 5 257 8892. Put together 746 257 835; 844 758 560; 348 369 102 and 561 567 134. ________________.a. 2 005 952 361b. 5 205 925 361c. 2 500 952 631d. 5 200 259 1363. Find the total number of 136 031 647; 330 141 445; and 341 319 303. ______________a. 749 802 599b. 807 294 395c. 708 294 593d. 807 492 3954. If you will add 312 964 758; 574 532 643; 628 345 124 and 843 237 412. What is the answer?5. 583 236 205 more than the sum of 123 841 523; 481 325 108 and 248 248 316. ___________

V. Assignment

Solve this problem.

A big warehouse has stocks of canned goods. There are 623 405 234 cans of sardines, 731 065 823 cans of milk, 136 291 629 cans of corned beef, 786 341 098 cans of green peas, and 600 493 587 cans of meatloaf. If you were the stockman, how would you know the total number of canned goods?

1. What are the canned goods stated in the problem?2. What canned good has the biggest number?3. Write the number sentence.4. Solve for the sum.

Commutative Property of AdditionI. Learning ObjectivesCognitive:Identify the commutative property of addition used in an equationPsychomotor:1. Write commutative property in two ways2. Supply the missing number in a given equationAffective:Manifest thoughtfulness during special occasions

II. Learning ContentSkill:Comprehension of the commutative/order property of additionReferences:BEC PELC I.B.2.1Textbooks in Math 4Materials: bean seeds, corn seeds, stones, marbles, bottle caps, straw, popsicle sticksValue:Thoughtfulness

III. Learning Experiences

A. Preparatory Activities

1. DrillWarm up Exercises (Number game involving addition)I am thinking of a numberExample:I am thinking of a number, my first digit is 5 and the second is 6, what number am I?

2. ReviewAddition facts using flash cards.

29 +62 62 +29 44 +36 36 +44

3. Motivation

Ana gave her teacher 9 white roses and 8 red roses because its her birthday. How many roses did she give her?

What did Ana give?If somebody asks you about the total number of roses, what should you do?B. Developmental Activities1. Presentationa. How many red roses were given? How about the white roses? What is the total number of roses?b. Write the number sentence.1. (red + white)2. (white + red)c. Does the sum change? Why?Lets find out.

2. Group Activity

Divide the pupils into 3 groups.

Group 1Illustrate the given facts in the problem by following these directions.a. Draw the given data.Write the number sentence for the given data.b. Change the positions of the given data, does the sum change? Why?Group2a. Express the mathematical sentence using the mathematical sticks.b. Change the order of the data, tell if the sum changes also.c. Explain why the sum did not change.

Group 3a. Use the bean seeds to express the mathematical phrase for the problem.b. Change the order of the given data.c. Tell if the sum changes.

3. Analysis/AbstractionHow did you write the given data?How did you draw it?Can you change the position of the data or the given facts?What happens to the sum if you change the order of the numbers?

98+8 + 917 179 + 8 = 178 + 9 = 17 +

4. Practice ExercisesWrite each of the following in its opposite order.

IIIIIIIIa. + = _____ + _____

0000000000000b. + = _____ + _____

c. _____ + _____ = 10 + 12

d. 15 + 10 = _____ + _____

e. Mario gathered 25 blue marbles and 18 yellow marbles. How many marbles were gathered? Express/give the mathematical sentence in two ways.

5. GeneralizationWhat is commutative property of addition?

Commutative property of addition Changing the order of the addends does not change the sum.

C. Application

Give the missing numbers.

1. 17 + ____ = 9 + 172. 20 + 45 = ____ + 203. ____ + 19 = 19 + 184. 23 + ____ = 17 + 235. 68 + 49 = 49 + ____6. Jose gathered 48 big bamboos and 28 small bamboos for his poultry house. How many bamboos did he gather? Show the addition sentence in two ways.

IV. Evaluation

Give the missing numbers.1. 46 + ____ = 93 + 462. 60 + 80 = 80 + ____3. 23 + ____ = 17 +234. 60 + 94 = 94 + ____5. Fred mixed 28 kilograms of corn grits and 25 kilograms of soya beans. How many kilograms of feeds did he mix? Show the addition sentence in two ways.6. 73 + 20 = ____ + 737. 24 + ____ = 12 + ____8. ____ + 18 = ____ + 139. 124 + 27 = 27 + ____10. 79 + ____ = 25 + ____

V. AssignmentA. Write the addition sentence in 2 ways.

1. +

2. +

B. Give the missing numbers.

1. 7 + 10 = ____ + 72. 17 + ____ = 10 + 17

C. Ben harvested 73 eggplants and 94 pieces of okra. How many pieces of vegetables were harvested? (Show your solutions in two ways.)

Associative Property of AdditionI. Learning Objectives

Cognitive:Show the associative property of additionPsychomotor:Supply for the missing numberAffective:Participate actively in any group activity

II. Learning Content:

Skills:1. Showing the associative property of addition2. Supplying the missing numberReferences:BEC PELC I.B.2.2Materials:chart, activity sheet, drill cards, cutout of shapesValues: Cooperation and active participation

III. Learning Experiences

A. Preparatory Activities

1. Drill/Review

Mental Activity

Supply the missing number (asking one another).

a. 9 + ____ = 16d. 24 + ____ = 30____ + 9 = 16 ____ + 24 = 30

b. ____ + 6 = 15e. ____ + 23 = 486 + ____ = 15 23 + ____ = 48

c. 18 + ____ = 35f. 32 + 40 = ________ + 18 = 35 40 + 32 = ____

What property of addition did you apply? State the rule.

2. Motivationa. How will you learn better? b. How can your group perform well?

B. Developmental Activities1. PresentationActivity SheetRead carefully and do as instructed.a. Inside the envelope are cutout materials which you are going to use in the activity.b. Make a group of three green shapes, 4 red shapes and 7 yellow shapes. What is the sum? Write the addition sentence for this.c. Show 2 ways in finding the sum without changing the order of the numbers. Explain how you grouped the numbers.d. What can you say about the sum of the numbers after grouping them in two different ways?e. Write the two ways of grouping the numbers.

2. Discussion/Abstraction

(Each group presents and explains their work.)(3 + 4) + 7 = 3 + (4 + 7)15 + (10 + 3) = (15 + 10) + 3 7 + 7 = 3 + 11 15 + 13 = 25 + 3 14 = 14 28 = 28

In the given addition sentences, which are the same? What are different? When you change the way in which the addends are grouped, does the sum change? Why?

3. Guided Practice1) Give the missing number.Example:

(3 + 4) + 6 = 3 + (4 + 6) = 13 7 + 6 = 3 + 10 = 13 a. (8 + 3) + 5 = 8 + (___+ 5) = ______ + 5 = 8 + ___ = 16

b. 4 + (9 + 7) = (4 + 9) + ___ = ___4 + ___ = ___ + 7 = ___

c. (12 + 3) + ___ = 12 + (3 + 8) = ___15 + ___ = ___ + 11 = ___

2) Use the associative property for the following:a. Use the addends 9, 8, and 5. Write two different addition sentences then solve each.b. Use 35 as your sum. The first addend is 17. What are the two addends, if the second is 2 more than the first addend? Solve it in two ways.

4. Generalization

What is the associative property of addition?

Changing the grouping of addends does not affect the sum.

C. Application

Write the missing number.a. ___ + (3 + 4) = 12b. 6 + (___ + 4) = 20e. 7 + (9 + ___) = 21(___ + 3) + 4 = 12 (6 + ___) + 4 = 20 (7 + 9) + ___ = 21

c. 7 + (9 + ___) = 21d. (___ + 6) + 2 = 15(7 + 9) + ___ = 21 ___ + (6 + 2) = 15

IV. Evaluation

Write the missing number.a. 7 + (5 + 6) = (7 + 5) + 6b. (7 + 3) + 12 = 7 + (3 + 12) 7 + ___ = ___ + 6 ___ + 12 = 7 + ___ ___ = ___ ___ = ___

c. (9 + 7) + 20 = 9 + (7 + 20)d. What is the other addend if one group is 9 + 8 ___ + 9 = 9 + ___ and the sum is 45? Write the number ___ = ___ sentence and solve it.

e. (13 + 6) + 9 = 13 + (6 + 9)f. (10 + 7) + 3 = 10 + (7 + 3)___ + 9 = 13 + ______ + 3 = 10 + ___ ___ = ___ ___ = ___

V. AssignmentIdentify the property of addition used in each equation. Write your answer on the blank provided for.

a. 3 + 4 = 4 + 3 _________b. 9 + (8 + 7) = (9 + 8) + 7 _________c. 20 + 47 = 47 + 20 __________d. 35 + 18 = 18 + 35 __________e. 76 + (30 + 70) = (76 + 30) + 70 _________

Identity Property of AdditionI. Learning ObjectivesCognitive:Identify the identity property of addition used in an equationPsychomotor:1. Write the addition sentences showing the identity property of addition2. Supplying the missing number in a given equationAffective:Show sportsmanship during games/activities

II. Learning ContentSkills:1. Identifying the identity property of addition2. Supplying the missing numberReference:BEC PELC I.B.2.3Materials:flash cards, written exercises on a cartolinaValue:Sportsmanship

III. Learning ExperiencesA. Preparatory Activities1. Drill (Emphasize sportsmanship during the game)Do the following exercises in the form of a race. Form two lines. Teacher shows the flash cards. Pupils give the answers orally. Pupils make one step forward for every correct answer.a. 26544335465124 +53 +33 +24 +44 +42 +28 +63

b. 55283731623563 +33 +41 +30 +57 +27 +57 +34

2. Review

Give the property of addition shown in each equation below. Write your answer on the blank provided for.a. 23 + 68 = 68 + 23 ________b. 13 + (10 + 30) = (13 + 10) + 30 ________c. 96 + 22 = 22 + 96 _________d. 38 + 19 = 19 + 38 _________e. (50 + 12) + 6 = 50 + (12 + 6) ________

3. Motivation Ask what happens if a number is added to zero. Show the equations on the board.

III10 + 0 = ______0 + 70 = ______192 + 0 = ______0 + 66 = ______35 + 0 = ______0 + 37 = ______62 + 0 = ______0 + 88 = ______

B. Developmental Activities1. Presentationa. Read the exercises written on a cartolina or in the blackboard.b. Answer the exercises as fast as you can.c. Ask: What do you observe about the equations under column I? What can you say about the equations in column II?d. Focus the childrens attention on the numeral 0. Ask: What is the sum when zero (0) is added to a number? What about when a number is added to zero? e. Introduce the term identity property of addition.

2. Group Activities

a. Fill the correct 1) 6 + 0 = ___2) 3 + ___ = 33) 12 + ___ = 124) ___ + 69 = 695) 80 + ___ = 80

b. Put a check () on the blank provided for if the equation shows the identity property of addition and a cross (x) if it does not.______1. (36 + 21) + 5 = 36 + (21 + 5)______2. (13 + 19) + (65 + 25) = (65 + 25) + (13 + 19)______3. 1888 + 0 = 1888______4. (67 + 93) + 16 = 16 + (67 + 93)______5. 0 + 820 = 820

c. Supply the missing number then write the property of addition shown on the blank before each number.______1. 88 + 0______2. (86 + 39) + 7 = ___+ (39 + 7)______3. ___ + 270 = 270______4. 78 + ___ = 78______5. 3000 + 0 = ___

3. Generalization

What is identity property of addition?

Zero is the identity element for addition. When zero is added to any number, the sum is the number.

C. Application

Fill in the correct answer.1. 8 + ___ = 82. 45 + 0 = ___3. ___ + 21 = 214. 5 + 0 = ___5. 36 + 0 = ___

IV. EvaluationA. Supply the missing number that will make each equation correct.1. 628 + 0 = ___2. ___ + 711 = 7113. 564 + ___ = 5644. ___ + 128 = 1285. 323 + 0 = ___

B. Encircle the number of the equation showing the identity property of addition1. 420 + 0 = 4202. 926 + 24 = 24 + 9263. 372 + (35 + 63) = (372 + 35) + 634. 0 + 306 = 3065. 821 + 0 = 821

C. Complete each equation. Write IPA on the blank if the equation shows the identity property of addition.______1. 150 + 0 = _________2. 370 + ___ = 370______3. 26 + 800 = 800 + 26______4. (85 + ___) + 90 = 85 + (20 + 90)______5. ___ + 922 = 922

V. AssignmentA. Write the number that will make each equation correct.

1. 62 + 0 = ___6. ___ + 1250 = 12502. 121 + ___ = 1217. 728 + ___ = 7283. 550 + 0 = ___8. 230 + ___ = 2304. 236 + ___ = 2369. ___ + 552 = 5525. ___ + 801 = 80110. 525 + ___ = 525

B. Write 10 equations showing the identity property of addition.

Estimating the SumI. Learning ObjectivesCognitive:Estimate the sum of 6- or more digit addendsPsychomotor:Illustrate how to find the estimated sum of 6- digit addendsAffective:Appreciate the importance of working hard

II. Learning ContentSkill:Estimating the sum of 6- or more digit numbersReferences:BEC PELC I.B.2Textbooks in Math 4Materials:pictures, pocket chart, colored chalk, show-me-card or drill boardValues:Hard work, perseverance

III. Learning Experiences

A. Preparatory Activities

1. DrillBasic addition facts using flash cards.9 +79 + 44 + 79 + 68 + 38 +66 + 58 + 87 + 57 + 98 + 57 + 9

2. ReviewRounding off numbers to the nearest 10 000 to 100 000Play Pass the paper game. Each pupil in the column takes turns in rounding numbers as fast as correctly as they can. Check answers in class.

3. Motivation

Show picture of farmers working in a farm or coconut plantation. What do you see in the picture? What does the farmer do to have a good quality harvest? Can you tell the number of coconuts seen in the drawing?

B. Developmental Activities1. PresentationMang Mario has a coconut plantation. He usually works in his farm the whole day. He harvested 11 389 coconuts in the first month and 15 481 coconuts on the second month. About how many coconuts did he harvest in 2 months?

Analyze and solve the given problem.a. What is asked in the problem?b. What are the given facts?c. What is the operation needed?d. What is the number sentence?e. What kind of a farmer is Mang Mario? What benefits could we get if we work hard? If youre given a task, do you work on it? 11 389 10 000First round the addends to the nearest+ 15 481 20 000ten thousand then add the rounded 30 000numbers to get the estimated sum

2. Group Activitiesa. Work with a partner. One will get the exact sum and the other will estimate the sum to the highest place value. (Use your drill board.)1) 5942) 3 9783) 5 9284) 7835) 1 397+ 678 +5 697 +1 436 +492 + 1 280

b. Estimate the sum of each to the highest place value.1) 25 6352) 36 4033) 43 3214) 18 4765) 611 175+46 780 + 53 296 +52 085 + 20 581 + 258 806

c. Below are the prices of some school supplies. Use your estimation skills to answer each of the questions without using paper and pencil.Ballpen4.50Glue18.50Pad paper19.00Pencil case21.25Ruler10.50Math notebook21.25Pentel pen35.25Pencil5.25Crayons28.25

1. About how much will a box of crayons and a pencil case cost?2. Randy has 50.00php. Has he enough money to buy one pad paper, crayons and a math notebook?3. You have 50.00php. What three things can you buy?4. What can you buy if you have 20.00 bill?5. You have 100.oophp. How many math notebooks and pad paper can you buy?

3. GeneralizationWhat are the steps involved in estimating sums of 6 or more digit addends? How do you estimate? How would you come up with a good estimate?

Round addends to the nearest highest place value then add. A good estimate is a little less or more than the exact answer.

C. Application

Solve the problem.

Mrs. Dayos poultry farm produced 236 378 eggs in 1997 and 147 932 eggs in 1998. About how many hundred thousands of eggs were produced in two years?

IV. EvaluationA. Round each addend to the highest place value. Then add.a. 713 156b. 138 819c. 514 912d. 614 346e. 192 143+291 724 +861 412 +813 125 + 201 223 + 361 414

B. Estimate the sum of the following numbers:1. Estimate the sum of 56 435 and 90 845.a. 150 000b. 350 000c. 500 000d. 100 0002. If you will use your estimation skills in addition, what is the answer for 287 254 and 245 812?a. 250 000b. 300 000c. 500 000d. 600 000

3. When you add 54 231; 30 685 and 33 751. What is the estimated sum?a. 100 000b. 200 000c. 110 000d. 210 000

4. What is the approximate total of 1 010 000, 298 000 and 165 380? ________5. Find the estimated sum of 61 241, 21 836 and 45 091. _______

V. Assignment

A. Estimate then find the exact sum.1) 56 4352) 456 4123) 74 8254) 21 1655) 63 729 + 90 845 +141 708 + 9 567 + 3 270 + 23 878

B. Write the addends in column then estimate the sum.1. 156 + 290 8452. 829 + 246 7233. 871 702 + 249 5814. 379 405 + 845 563

Adding Mentally 2- to 3-Digit Numbers with Sums Up to 300I. Learning ObjectivesCognitive:Add 2- to 3-digit numbers mentally with sums up to 300 without regroupingPsychomotor:solve for the sum of 2- to 3-digit numbers mentallyAffective:Appreciate the value of trees and other plants around us

II. Learning ContentSkill:Adding mentally 3- digit numbers with sums up to 300References:BEC PELC I.B.3Textbooks in Math 4Materials:flash cards, number cards, window cardsValue:Appreciation of nature

III. Learning Experiences

A. Preparatory Activities1. Drill

Game in Basic Addition Facts Using Flashcards

Relay game by pairs.

2. ReviewEstimate the sum of each item orally.

312 143 163 192 676 780 816 136 376 762+ 291 + 414+ 681+ 271+ 215+ 342 +415+ 861+ 213+ 134

3. MotivationAre trees and other plants important to us? Why? What do trees and other plants give us? Do you take care of our trees and plants? In what way?

B. Developmental Activities

1. PresentationProblem Opener

In an orchard, there are 125 avocadoes and 173 mango and santol trees. How many trees are there in all?

2. Group Activitiesa. Activity 11. What kind of trees is found in the orchard?2. Can you name them?3. How would you get the total number of trees in the orchard?4. Do you need to use paper and pencil?5. Can you solve for the final answers mentally? How?

b. Activity 2

Let us help the baby go up and down the stairs by adding the equations mentally as fast as you can.

113 + 174 =111 + 178 =186 + 113 =124 + 165 =100 + 200 =165 + 123 =140 + 140 =152 + 36 =116 + 170 =256 + 41 =117 + 132 =156 + 130 =137 + 152 =127 + 171 =125 + 34 =129 + 170 =137 + 60 =190 + 110 =153 + 36 =134 + 64 =141 + 26 =

3. Generalization

What is the fastest way in solving for the sum mentally? Recall once again the steps.

C. Application

Add the following numbers mentally.1) 2462) 2703) 1534) 1465) 134 +52 + 25 + 136 +150 + 45

6) 2787) 1898) 1649) 12310) 265 + 10 + 100 + 133 + 76 + 34

Use window cards with 2- to 3-digit numbers with sum up to 300.

IV. EvaluationA. Teacher will flash a card one at a time in class. The task of each pupil is to write the sum on their paper.a. 115b. 213c. 241d. 186e. 153 + 174 + 182 + 50 + 111 + 146

B. Add mentally using flash cards or dictation.1. What is the total of 50 and 42?2. Combine 143 and 123, the result is _______.3. Put together 131 and 12, you get _______.4. Father gathered 250 guavas in the morning and 132 guavas in the afternoon. How many guavas did father gather in all?5. Jose sold 120 sampaguita garlands. Rosa sold 135 sampaguita garlands, how many did they sell in all?

Solving Word Problems Involving Addition I. Learning ObjectivesCognitive:Solve word problems involving addition of whole numbers including money with sums through millions and billions without and with regrouping following the steps in problem solvingPsychomotor:Analyze and solve word problems accuratelyAffective:Share ones ideas and materials with others

II. Learning ContentSkill:Analyzing and solving word problems involving addition of whole numbersReferences:BEC PELC I.B.4.1Textbooks in Math 4Materials:story problems, charts, pictures, strips of cartolinaValue:Sharing

III. Learning Experiences

A. Preparatory Activities

1. DrillPost addition equations on the board. Solve the sum mentally as fast and as correct as they can.324516446435422566 + 2 + 11 + 43 + 23 + 33 + 12 + 26 + 32 + 11

2. ReviewMatch the appropriate phrase suited to the given facts and statement below. Write the letter of the correct answer on the blank provided for.

Operation neededGiven factsNumber sentenceSolution and answerAsked in the problem

_____1. The total population for both schools._____2. 13 486 + 23 465 = n_____3. Addition_____4. 13 486 + 23 465 = 36 951

3. MotivationSong (Sing to the tune of Planting Rice.)

Learning math is really funI am glad, you are gladNew ideas every timeFor your answer are all rightThere is joy for everyoneWe all feel that we are brightProblem solving satisfiesSolving problems makes us wise

B. Developmental Activities1. PresentationMaterials:Drawing of trees with figures shown on the trunk of each tree as mentioned in the problem.

The Estradas and Cruzados are 2 generous families. They donated tree seedlings to the different barangays of the country. The Estrada family donated 126 896 acacia and ipil-ipil tree seedlings. The Cruzado family donated 315 724 molave and narra tree seedlings. How many seedlings were donated by the 2 families?

2. Group WorkActivity 1A representative will act as facilitator to discuss the questions presented by the teacher.a. Who are the families mentioned in the problem?b. What kind of families are they?c. What did they donate?d. How many trees were donated by the Estrada family?e. What kinds of trees were donated by Cruzado family? Estrada family?

Valuing: At your age, do you share things with others? What things do you share with others? What do you feel?Activity 2Call another representative in class to ask and discuss the following questionsa. What is being asked in the problem?b. What are the given facts?c. What operation will you use to solve the problem? Why? Explain your answer.d. Give the number sentence that will help you solve the problem.e. Show the solution to the problem on the board.Example: 126 896 acacia and ipilipil trees + 351 724 molave and narra trees442 620 total trees donated by the 2 familiesActivity 3Materials: chalk, mini-boardsThe group will give the answer to the problem by supplying the information below.a. The given facts are ______b. The process to be used is _______c. The answer is _______

3. Fixing Skills/Practice

Read the problem carefully then answer the following questions.a. There was a benefit show for the orphans. 512 761.00php was earned. On the second day, 726 895.00php was the proceed. How much was generated by the show in 2 days?b. The Math club of Barrio Obrero Elementary School started a news paper drive to raise funds for the poor children of Sapang Palay. If one group brought 434 253 old news papers and the other group brought625 250 old news papers, how many old news papers would there be in all?c. Last year, Manny deposited 1 276 718.00php in the bank. This year, he deposited 991 221.00php. How much did he deposit in 2 years?

4. GeneralizationHow do you solve problems? What are the steps involved in solving story problems? Elicit the steps.

In solving word problems involving addition of numbers with sums up to millions and billions, the following steps are to be followed:Read and understand the problem.Plan on what to do.Solve the problem.Look back to check if the answer to the problem is correct.

IV. EvaluationRead and solve the problems carefully.

1. It was reported that the total population in Benguet is 541 817 and in Kalinga is 154 145. What was the total population of Benguet and Kalinga?2. Quezon City has a population of 8 424 262 while Manila has 11 189 people. What is the combined population of the two cities?3. The Marcela Cooperative Farms earned 17 342 262.00php while Barangay Bayambang Cooperative earned 48 159 926.00php. Altogether, how much money did the two cooperatives earn?

4. During the best of seven series in the basketball game, there were 1 211 125 tickets sold in the fifth game while 2 179 600 in the sixth game. How many tickets were sold in the two games?

5. Mr. Domingo Sy earned 1 224 663.00php in the year 2001 while Mrs. Ellen Sy earned 926 175.00php for the same year. How much did they earn altogether? Look at the earnings of a certain food company. Then answer the questions that follow:Milk products378 584.00Fruit juices198 475.00Meat products326 421.00Other products178 623.00

a. What are the total earnings for meat products and fruit juices?b. What are the total earnings for meat and milk products?

V. Assignment

Solve the following problems carefully.1. Mr. Reyes purchased a pair of shoes worth 4 179.00php and a jacket which costs 725.00php at SM Megamall. How much did he pay the cashier?2. There are 2 big central schools in Mindanao. In the first school, population was 4 486 while 3 654 in the second school. What is the total population of the 2 schools?3. A car dealer had this sales summary for the last quarter of 2000.October 653 410.00phpNovember 585 688.00phpDecember 890 462.00php

What was his total sale in 3 months?

Solving Mentally 1-Step Word Problems

I. Learning ObjectivesCognitive:Solve mentally 1-step word problems involving addition with sums up to 300 without regroupingPsychomotor:Tell the answer to the problems accuratelyAffective:Appreciate the beauty of nature

II. Learning ContentSkill:Solving 1-step word problems mentallyReferences:BEC PELC I.B.4.2Textbooks in Math 4Value:Love for nature

III. Learning Experiences

A. Preparatory Activities

1. Drill

Complete the addition wheel

9 21 53 7 6+11 6 38 59 2 7 1+12 3 56 49 7 8 1+11

2. Review

Solve the following math sentences.

a. What is the sum of 78 and 71?b. What is 74 more than 24?c. What is the result when 87 is added to 23?d. What is 18 more than the sum of 35 and 47?e. Add 35 to the sum of 43 and 69.3. MotivationWho is your favorite newscaster? Why did you choose him/her? If given a chance, would you like to be like him/her? Why?

B. Developmental Activities

1. Presentation

a. Call a pupil to report the problem in class.

One sunny day, Mrs. Almonte and her pupils went to the park. They enjoyed looking at the different flowers. On their way home, the decided to count all the flowers they saw. A group of boys reported that there were 71 roses and daisies while the girls reported 128 gumamela, camia and yellow bells. How many flowers were there in all? This is (name of student) reporting.

Discussion:1) Who went to the park?2) What did they do there?3) If you were to visit a park, will you do what they did? Explain.4) What are the flowers mentioned in the problem?5) How many flowers were counted by the boys?6) How many flowers were counted by the girls?7) How many flowers are there in all?8) How did you get the answer?9) What is the fastest way of solving the given problem?10) How will you solve the problem mentally? Draw out the steps.

b. Solve mentally

1) A crowd of 162 people watched the first day of the football game. The next day, 138 attended the game. How many people watched the games?2) Ramon had 175.00php. His father gave him 123.00php. how much does he have now?

2. Fixing Skills/Practice

Divide the class into groups. Assign a leader to act as the facilitator in the discussion of the problem.

Group 1Jeff collected 145 stamps while Alvin collected 153 stamps. How many stamps did they collect altogether?

Group 2Sheila used 147 bond paper. Irene used 132 bond paper. How many sheets of bond paper did Sheila and Irene used altogether?

Group 3At Basilan Elementary School, there are 110 members of Science Club and 181 members of Math Club. How many members are there altogether?

3. Generalization

How do you solve story problems mentally?

In solving word problems mentally, give the answers to the problems accurately without using paper and pencil.

C. Application

You can do these orally. Try them.1. Kevin picked 135 santols. Marie picked 161 santols. How many santols were picked in all?2. Lyn has 137 stamps in her album. Alma has 151. How many stamps do they have in all?3. Marlin walked 138 metres north and 160 metres south. How many metres did she walk in all?4. Father drove 162 km from their home. After an hour, he drove 35 kilometres more in the same direction. How far is he from his starting point?5. Mang Igme received an order of 175 baskets. After 5 days, there was an order of 124 baskets more. How many order for baskets did he received in all?

IV. Evaluation

A. Study the table then answer the following questions below.

Dr. Sixto Elementary School Grade 1 140 Grade 4 - 120 Grade 2 115 Grade 5 - 144 Grade 3 - 152

1. How many pupils are enrolled in Grades 1 and 2 altogether?2. The total number of pupils enrolled in Grades 4 and 5 is ______3. What is the sum of the enrollment of grades 5 and 1?4. The combined enrollment of Grades 3 and 4 is ______

B. Think and solve mentally.

1. Kalawaan Elementary School has 35 classes. Pasig Elementary School has 24 more classes than Kalawaan Elementary School. How many classes does Pasig Elementary School have in all?2. Jenny is 35 years old now. Her mother is 41 years older. How old is her mother now?3. The weight of Benjie is 74 pounds. His friend is 22 pounds heavier than him. What is the total weight of Benjies friend?

V. Assignment

1. Read and answer.a. Rosa sells fruits in the market. She earned 275.00php for her mangoes and 126.00php for the papayas. How much did she earn from the fruits she sold?b. My aunt went shopping last Saturday. She bought a blouse for 280.00 and an umbrella for 125.00php. How much did my aunt spend in shopping?

Subtracting without RegroupingI. Learning ObjectivesCognitive:Subtract 5- or more digit numbers from 6- or more digit numbers without regroupingPsychomotor:Find the difference of 5- or more digit numbers from 6- or more digit numbers without regroupingAffective:Show concern in cleaning and greening of the community

II. Learning ContentSkill:Subtracting 5- or more digit numbers from 6- or more digit numbers without regroupingReferences:BEC PELC I.C.1.1Textbooks in Math 4Materials:flash cards, pocket cardsValue:Environmental concern

III. Learning Experiences

A. Preparatory Activities1. Drill

Basic addition facts using flash cards

2. Review/Mental Computationa. What is 45 more than the sum of 12 and 13?b. Tony picked 35 apples. His friend gave him 11 more. How many apples were there in all?

3. MotivationWhat do children of your age do to help the barangay officials in their campaign for the clean and green program? What activities would you suggest to promote the clean and green program of your barangay?

B. Developmental Activities

1. Presentation

a. Activity 1

In support of the clean and green campaign of our government, the officials and constituents of Barangay Kalawaan decided to raise a total amount of 685 976.00php to buy ornamental plants, flowering plants, grass and some garden materials. During the recent fund drive they conducted, they were able to raise a net amount of 234 802.00php. How much more should they raise in order to meet the target amount for their beautification project?

1. What is asked in the problem?2. What are the given facts?3. What operation is to be used?4. What is the number sentence?5. Solution (help the pupils solve the problem)Strategy 1Subtract the onesSubtract the tensSubtract the hundreds 685 976 685 976685 976 243 802- 234 802 - 234 802 4 74 174

Subtract theSubtract theSubtract the Thousands ten thousands hundred thousands

685 976 685 976685 976 243 802- 234 802 - 234 802 1 174 51 174451 174

Let us familiarize ourselves with the terms we used in subtraction.

685 976 (minuend)- 234 802 (subtrahend)451 174 (difference)

How do we check if our answer is correct? Do this by adding the difference and the subtrahend. If the minuend and the sum are the same, then our difference is correct.

451 174 (difference)+ 234 802 (subtrahend) 685 976Strategy 2

Use of expanded notation.

685 976 = 600 000 + 80 000 + 5 000 + 900 + 70 + 6- 234 802 = 200 000 + 30 000 + 4 000 + 800 + 0 + 2 400 000 + 50 000 + 1 000 + 100 + 70 + 4 = 451 174

b. Activity 2

1. Use your drill board to find the difference of each

a. 62 716b. 78 914c. 386 112d. 297 564e. 687 312 - 41 302 - 12 513 - 125 011 - 126 231 - 574 211

2. Answer and check with the class.

a. Subtract 633 420 from 955 420.b. Take away 59 104 from 89 108.c. What is 475 634 minus 243 522?d. What is the difference between 878 945 and 25 714?e. 961 837-351 425

f. 457 791-231 661

2. Generalization

How would you find the difference of 5- or more digit numbers from 6- or more digit numbers without regrouping?

In subtracting 5- or more digits from 6- or more digits without regrouping, subtract from the ones until the last given digit.

C. Application

Subtract.

a. 27 892b. 287 196c. 279 124d. 78 465e. 754 683 - 16 574 - 163 164 - 59 113 -52 431 -310 521

Find the missing numbers.

a. 85 421b. 75 436c. 495 837d. 787 251e. 893 526- 1 - 12 - 7 2 - 1 3 - 7 1

IV. Evaluation

A. Find the difference. Choose the letter of the correct answer.

1. Find the difference between 936 635 and 473 215.a. 363 420b. 436 420c. 463 420d. 453 240

2. What is 18 467 less 14 235?a. 4 132b. 4 232c. 5 132d. 5 232

3. Subtract 234 802 from 685 976.a. 451 174b. 514 471c. 415 174d. 154 417

4. Take away 15 061 from 27 892. ___________5. Find the missing numbers in85 421- 1

B. Find the difference.

1. 67 0712. 70 1843. 871 9764. 987 726 5. 876 752-15 061 -30 174 -341 275 -765 115 -561 331

V. Assignment

Find the difference. Check your answer.

8 18421 74895 61472 11465 718 -6 153 - 11 136 - 34 512 - 31 002 - 23 416

Solve for n.

a. 38 415 27 304 = nb. N 24 923 = 53 024c. 17 556 (2 475 + 625) = nd. 875 122 764 111 = ne. 693 952 512 841 = n

Subtracting Large Numbers with Zero Difficulty

I. Learning Objectives

Cognitive:Subtract 5- or more digit numbers from 6- or more digit numbers with 3 continuous or non-continuous zeros in both the minuend and the subtrahend with regroupingPsychomotor:Solve for the difference of 6- or more digit numbers with zero difficultyAffective:Support organizations that help poor people

II. Learning Content

Skill:Subtracting large numbers with zero difficultyReferences:BEC PELC I.C.1.2Textbooks in Math 4Materials:flash cards, charts, pocket chartsValue:Helpfulness

III. Learning ExperiencesA. Preparatory Activities

1. Drill

Subtract.1718211723354119 - 10 - 11 - 16 - 12 - 19 - 11 - 21 - 19

2. ReviewFind the difference.

74 814

47 7653 876 = =

1 96859 732=3. Motivation

What government organizations help poor people? Have you experienced asking help from some organizations?

B. Developmental Activities

1. Presentation

Red Cross is an organization which helps the poor people. During the Red Cross Week, Garita Elementary School was given 12 000 tickets to sell for a benefit show. The school was able to sell 9 032 tickets. How many tickets were not sold?

a. Who sells tickets?b. Why do they sell tickets?Valuing: As a student, how will you help this organization? Is it right to help them? Why?

Discuss the solution to the problem.

9 9 1 10 10 10 1 10 10 1012 0001 2 0 0 01 2 0 0 0 - 9 032- 9 0 3 2 - 9 0 3 2 2 9 6 8

2. Group Activity

a. Find the difference by subtracting the indicated numbers from 800 120.

800 120400 05070 625500 200621 000711 000

b. Follow the arrows to fill up the boxes by subtracting the numbers until you reach 93 100.

93 150 00013 281 600

176 105- =

93 10079 092 200 - =

-=

3. GeneralizationHow can you subtract numbers with 3 continuous or non-continuous zeros in both minuends and subtrahends and with regrouping in any places?

When there are continuous zeros or non-continuous zeros, we regroup first in places that need regrouping, starting at the leftmost digit, then proceed to subtraction

C. Application

Find the difference.a. 780 004b. 2 357 000c. 9 856 000d. 900 603 -36 842 - 26 453 - 500 032 - 590 407

e. 700 080f. 7 800 000g. 97 000 136h. 160 080 000 - 345 000 - 1 156 000 - 6 002 179 - 42 165 000

IV. Evaluation

A. Find the differencea. 900 034b. 867 000c. 320 400 -720 004 - 123 000 - 10 009

d. 98 000 000e. 65 000 000 - 15 900 050 - 9 261 000

B. Subtract 5 digit numbers from 6 or more digit numbers with continuous zeros.

1. Take away 3 006 from 206 000.a. 302 994b. 203 494c. 202 994d. 202 4992. Decrease 1 600 from 700 067.a. 696 467b. 896 467c. 986 476d. 689 4763. Subtract 36 842 from 780 004.a. 734 162b. 743 162c. 734 261d. 437 2614. Find the difference between 700 080 and 345 000. ________5. What is the difference between 800 000 and 156 000? _________

V. Assignment

Write in column and subtract.1) 901 060 006 9 300 518 = n2) 100 000 000 85 643 214 = n3) 80 000 000 1 234 567 = n4) 421 300 048 216 321 832 = n5) 726 140 009 402 124 000 = n

Estimating the Difference of Two Numbers I. Learning Objectives

Cognitive:Estimate the difference of two numbers with four to six digitsPsychomotor:Solve for the difference mentallyAffective:Show love and concern for parents

II. Learning ContentSkill:Estimating the difference of two numbers with four to six digitsReferences:BEC PELC I.C.1.3Textbooks in Math 4Materials:flash cards, chartValue:ThoughtfulnessIII. Learning Experiences

A. Preparatory Activities

1. Drill Find the difference

65 22 =10 6 =9 5 =17 10 =127 105 =7 3 =12 6 =18 11 =396 254 =17 9 =11 8 =12 7 =

2. ReviewRound the following numbers to the nearest tens and thousands.Nearest TensNearest Thousandsa. 74 325_________________________b. 25 936_________________________c. 127 547_________________________d. 31 247_________________________e. 743 426_________________________

3. MotivationWhat would you do if you cannot afford to buy a greeting card or gifts for your loved ones? What do you feel?

B. Developmental Activities

1. Presentation

The grade 4 pupils of Maybunga Elementary School made 2 568 greeting cards for their parents while the grade 3 pupils made 1 756 cards. About how many more greeting cards did the grade 4 pupils make than grade 3?

a. Who made greeting cards?b. Why did they make the cards?c. Who among them made more cards?Valuing: To whom will they give the cards? Do you also give cards to your parents? When? Why?

2. Group Activity

Activity 1a. What is asked in the problem?b. What are the given facts?c. What operation is to be used?d. What is the number sentence?To estimate the difference, round off the minuend and subtrahend to the highest place value then subtract.2 5683 0002 568 - 1 756 - 2 000 - 1 7561 000 - estimated difference 812 -actual difference

Activity 2Estimate to the highest place value then find the difference.

a. 54 798b. 95 895c. 349 258d. 4 912 - 42 991 - 72 521 - 121 123 - 3 165

e. 6 861f. 5 762g. 25 376h. 265 - 4 136 - 3 223 - 14 213 - 142

i. 4 632j. 5 134k. 72 571 - 1 482 - 1 675 - 61 933

3. Generalization

How do you estimate the difference of two numbers with four to six digits?

To estimate the difference of two numbers with four to six digits, round each of the numbers to highest place value then subtract.

C. Application

1. Round each minuend and subtrahend to the nearest a) tens b) hundreds c) thousands and d) ten thousands, then find its estimated difference

78 52878 530 - 43 187 - 43 190

2. Estimate the difference to its highest possible place value.a. 6 348b. 8 888c. 13 429d. 52 634e. 73 287 - 3 344 - 2 929 - 12 363 - 19 584 -48 896

IV. Evaluation

A. Estimate the difference by rounding to the nearest ten thousands.

1. 85 9462. 34 8793. 59 679 - 52 346 - 16 843 - 37 051

B. Estimate then find the difference.

1. Estimate the difference between 6 213 and 4 362.a. 2 000b. 3 000c. 4 000d. 6 0002. What is the estimated answer if 1 236 is subtracted from 2 705?a. 1 000b. 3 000c. 2 000d. 4 0003. The sponsor of the play prepared 4 230 tickets; 2970 were sold. About how many were not sold?a. 3 000b. 4 000c. 2 000d. 1 0004. Estimate the difference between 7 452 and 5 602. ___________5. Get the estimated difference between 87 625 and 5 362. __________

V. Assignment

1. Ask the actual income of the family. Estimate the difference of the familys monthly expenses from their actual income.2. Estimate the difference by rounding to the nearest a) tens b) hundreds c) thousands d) ten thousands.194 385 - 168 651

3. Estimate the difference by rounding to the highest possible place value.5 67267 93584 764 - 5 219 - 61 398 - 84 159

Subtracting Numbers Mentally without RegroupingI. Learning Objectives

Cognitive:Subtract mentally numbers with minuends up to 300 without regroupingPsychomotor:Give the correct answer mentally and orallyAffective:Show the value of helpfulness when given a task

II. Learning Content

Skill:Subtracting mentally with minuends up to 300 without regroupingReferences:BEC PELC I.C.2Textbooks in Math 4Materials:flash cards, chart window card, pocket chartValue:Helpfulness

III. Learning Experiences

A. Preparatory Activities

1. DrillBasic subtraction facts.Each pupil take turns in answering the basic subtraction facts written on each strip of manila paper. Check the answers in the class.

10 - 210 - 910- 715- 616- 712- 810- 9

2. ReviewThis may be done in form of a game. Let a pupil pick one petal of the flowers (one at a time) and have him/her answer the equation.

45- 2047- 1687- 6453- 3237- 2678- 2483- 2375- 2166- 1267- 3399- 1199- 83

3. Motivation

During weekends, what do you do to help your parents earn extra income? Guide the pupils to see the value of helpfulness.

B. Developmental Activities

1. Presentation of lesson

During weekends, Leah helps her mother sell mangoes in the market. One morning, she had 275 mangoes. At the end of the day, she had 55 mangoes left. How many mangoes were sold?

2. Discussion

a. How many mangoes did Leah have in the morning?b. How many mangoes did she have at the end of the day?c. What will you do to get the answer?d. What is the fastest way of solving for the final answer?e. How many mangoes were sold?

3. Fixing Skills/Practice

a. Relay Game

Mechanics:Group the pupils into 5. Let them form a line outside or inside the room. Teacher writes all the exercises in a rolled paper and pastes it on the board. When the teacher says go, pupils takes turns in going to the board. The first group who correctly answers the questions wins.Group 1Group 2Group 3Group 4Group 5

1. 2762. 239 3. 1794. 2645. 148 - 132 - 135 - 146 - 153 - 46

b. Supply the missing numbers orally.

1) 2) 3) 4) 171 5) 247 - 102 - 132 - 275-- 104141 33 210 102

c. Find the missing numbers to complete the puzzle. Subtract horizontally and vertically.1) 2) 274____142

____21____

131____20

____24844

143112____

149____13

4. Generalization

How can you subtract mentally? Give the steps.

C. Application

1. Subtract mentally.a. 284 174 = nb. 340 130 = nc. 182 130 = nd. 488 242 = ne. 575 273 = n

2. Subtract mentally the following numbers.a. 299b. 299c. 266d. 278e. 265 - 183 - 153 - 155 -178 - 152

IV. EvaluationA. Give the difference orally.

1. 3002. 2393. 2704. 2905. 239 - 200 - 105 - 120 - 190 - 133

B. Subtract mentally.

1. The difference between 298 and 56?2. What remains between 876 and 543?3. Less 13 from 126.4. What is left between 178 and 152?5. What is 715 minus 236?V. Assignment.

Subtract mentally.

1. 7622. 8383. 1744. 1745. 294 - 241 - 712 - 100 - 74 - 253

6. 1207. 1508. 1599. 24910. 678 - 110 - 140 - 147 - 123 - 423

Solving Mentally 1 Step Word Problems Involving Subtraction without Regrouping

I. Learning Objectives

Cognitive:Solve mentally 1-step word problems involving subtraction without regroupingPsychomotor:Solve problems mentallyAffective:Show appreciation for Gods creation

II. Learning Content

Skill:Solving mentally 1-step word problems involving subtraction without regroupingReferences:BEC PELC I.C.3.2Textbooks in Math 4Materials:flash cards, picture, chart, activity sheets, paper, crayonsValue:Appreciation of Gods creation

III. Learning Experiences

A. Preparatory Activities

1. Drill

Mental ComputationSolve for the difference mentally as fast and as correct as you can.96858743054 248 - 54 - 61 - 523 - 202 - 2 125

2. Review

Answer orally.Jose sold 120 sampaguita garlands. Rosa sold 135 sampaguita garlands. How many more sampaguita garlands did Rosa sell than Jose?

3. Motivation

Show pictures of trees, skies, land, fish, people, etc.

Valuing: Who created these things? Can we be like God? Why or why not?

B. Developmental Activities

1. Presentation

Marc has 78 fishes in his aquarium. His mother transferred 25 fishes into another aquarium. How many fishes were left?

2. Discussion

Guide the pupils in the discussion of the problem by answering the following questions.a. What is asked in the problem?b. What are given?c. What operation is needed to solve the problem?d. What is the fastest way of solving for the final answer?e. What is the final answer?

Group the pupils by pairs. Distribute activity sheets to each pair. Their task is to help each other solve the problems carefully.

a. Edgar helps his father in the farm. There were 150 coffee seedlings. If 90 seedlings have been planted, how many more does he need to plant?b. Aling Norma has 12 children. Ten of her children went to America. How many children still lives with Aling Norma?c. If Carlo accidentally broke 12 of his 24 crayons, how many crayons were not broken?d. Loren has 15 guavas. She gave 12 guavas to her sister. How many has she left?e. Mother baked 28 cookies. Lita ate 12 of the cookies. How many cookies were left?

3. GeneralizationHow do we solve problems involving subtraction mentally? What are the rules to remember in solving problems mentally?

In solving word problems involving mental subtraction, follow the following steps:Understand, think and give your answer without using pencil and paper, then look back to check your answer.

C. Application

Solve mentally. Write the answers on your paper.1. Danny planted 54 upo seedlings. Ernie planted 65 ampalaya seedlings. Who planted more?2. Nancy planted 39 patani seedlings. If 13 of them did not grow, how many seeds grew?

IV. EvaluationSolve the problem mentally.

1. There are 20 buses in the bus terminal. Only 15 are checked to be in good condition. How many are left for repair?2. Mia bought 15 candies. On her way home, she ate 5 of the candies. How many candies did she bring home?3. Jerry weighs 182 lbs. randy weighs 120 lbs. how much more is Jerrys weight than Randy?4. Mang Isko baked 30 cookies. Ronald ate 20 of the cookies. How many cookies were left?5. Carlo broke 10 of his 24 crayons, how many crayons were not broken?

V. Assignment

Create your own story problem involving subtraction. You may exchange problems with your partners then try to solve it accurately. Discuss solutions in class.

Word Problems Involving Subtraction

I. Learning Objectives

Cognitive:Solve one step word problems involving subtraction of numbers including money, with and without regroupingPsychomotor:Write the number sentence for a given story problemAffective:Practice wise decision-making

II. Learning Content

Skills:1. Writing number sentences for story problems2. Solving word problems involving subtraction of whole numbers including money with and without regroupingReferences:BEC PELC I.C.3.1Textbooks in Math 4Materials:flash cards, chart on problem solvingValue:Intelligent decision in voting

III. Learning Experiences

A. Preparatory Activities

1. Drill

Have a short drill on selected subtraction facts.3518163134 - 5 - 7 - 8 - 9 - 6

2. Review

Find the difference.7 3676 3807 1252 3759 245 - 2 314 - 2 629 - 5 443 - 1 142 - 6 730

3. Motivation

Purok Masagana has 7 206 registered voters. If 3 271 are male voters, how many are female voters?

How many registered voters are there?How many male voters are there?How many are female?

Valuing: If you are to vote for your student government, how are you going to select a good leader? Why?

B. Developmental Activities

1. Presentation

a. What is asked in the problem?b. What is/are given in the problem?c. What operation will you use? Is there a clue word?d. What is the number sentence for the problem?e. How is the solution done?2. Group Activity

Group the pupils into 4 groups. Have each group solve the problems then present their work to the class.

Group 11. The pineapple planters of Laguna gathered 4 276 pineapples last month. This month, they harvested 6 278 pineapples. How many more pineapples did they harvest this month than last month?2. Mrs. Posadas wants to buy a washing machine worth 5 785.00php. She has 2 356.00php cash on hand. How much more money does she need in order to buy the washing machine?Group 21. A fish dealer sold 232 152 kg of assorted fish in one week. If 156 218 kg were sold in 4 days, how many kg of fish were sold in 3 days?2. Mr. Perez bought a car that costs 356 826.00php. After five years, she decided to sell the old car for 186 738.00php. How much is the cost difference? Group 31. A farmer harvested a total of 10 404 watermelons last year. This year, he was able to harvest 22 098 watermelons. What is the difference between the watermelons harvested this year and last year?2. A big library has 38 459 books in the shelves. There are 7 079 Science books. How many books are not Science books?Group 41. There were 450 computers in St. Marys school. After the school year, it was discovered that 86 were not functioning. How many computers were in good condition?2. Aling Precy sold fruit at a public market. She had 2 056 mangoes. At the end of the day, she had only 94 left. How many mangoes were sold on that day?Provide provisions foe word clues leading to the solutions of the word problems, specifically for the slow groups.

3. Generalization

What are the steps to follow in problem solving?What clues are needed to solve word problems involving subtraction?

C. Application

Solve the following word problems.

1. In a week, Mang Carlos earned 4 265.00php for catching fish. He gave 1 500.00php to his wife and deposited the rest in the bank. How much did he deposit in the bank?2. Mrs. Malvar and her eldest daughter watched a songfest. There were 10 206 who watched the said competition if 6 259 were females, how many were males?3. Marianos cottage industry exported a total of 250 756 native slippers and bags. Of these products, 75 903 were native bags, how many native slippers were exported?4. Mr. Cortez has 527 968.00php in a savings bank. He withdrew 35 500.00 for his childrens school expenses. How much money is left in the bank?

IV. Evaluation

Read and solve the following problems.

A.1. Virgie collected 1 280 local and international stamps. If 452 were local stamps, how many were international stamps?2. The school property custodian distributed 4 758 English and Math books for grade IV pupils. If 2 307