A DETAILED LESSON PLAN IN MATHEMATICS
A DETAILED LESSON PLAN IN MATHEMATICSOperations on IntegersI.OBJECTIVESAt the end of the lesson, the students will be able to:a. Distinguish the rules on different operation of integers.b. Construct a mathematical equation using the four (4) operations of integers.c. Recognize the importance of using integers in real life.II.SUBJECT MATTERTopic: Operation on IntegersReferences: Villano M., Mupas L., Degolacion R., Chua S. (2012), 21st CenturyMathematics: A Vision for a Better Future 7, page 88-100, PhoenixPublishing House Pascasio, Ponsones, Ocampo, Tresva (2013), Math Ideasand Life Applications 7, page 46-59, Quezon City, Metro ManilaMaterials: Manila paper, cartolina, colored paper, marker, bond paper, ICT tools.Values Integration: To develop the critical thinking, collaboration, determination andpatience of the students.III.PROCEDURETeacher’s ActivityStudents’ ActivityA. Initiatory Phase1. Opening PrayerClass, kindly stand for the openingprayer.(The students will all stand)May I call on Mr. to lead theprayer?Oh, God our father we praise and adoreyou for everything in this world.Forgive us for the sins that we havedone. We give you thanks Oh Godalmighty for all the blessings you havegiven us most especially for theblessing of life. Thank you for guidingus all through out our life. Oh god, weask for your guidance in everything weare going to do. Give us hope andstrength to overcome every struggle wewill face. Give us the knowledge weneed for our discussion today. We praythis in Jesus name, Amen.2. GreetingsGood Morning Class and Peace be withyouGood Afternoon Ma’am and Peace bewith you.Before you take your sit kindly pick upthe pieces of paper or candy wrapperunder your chair and if none you may
take your sit.3. Checking of AttendanceMonitor, is there any absent for today?None ma’am.Very good, maintain that perfectAttendance.4. Drills/EnergizerBefore we start our day, let us have first amath trick. Do you want a math trick?Yes ma’am.Are you ready?Yes ma’am.So get any piece of paper and ball pen.Write your month number from youbirthday. For example, if your birthday isJune then your month number is 6.Then, multiply by 5.Next, add 6.Multiply the total by 4.Add 9.Multiply by 5 once again.Then, add your birth date. If you wereborn on the 14th, then add 14.And last, subtract 165. You will surprisecause you will have the month and dayyou were born.Are you done on computing?Yes ma’am.What have you notice in the trick?I have notice that in mathematics youjust have to follow the instruction foryou to get the correct answer.Exactly.I hope it energized you all.5. ReviewIt seems that you are all alive now. So,before we proceed to our next topic, letus have a short review of what we havediscussed last meeting.So, who among you still remember ourlast topic?
Yes, Ms.Our last topic is about introduction ofintegers.Exactly.What do you mean by integer?Yes Ms.Integers are a set of positiveand negative number.Very good.How will you define the absolute valueof a number?Yes Mr.The absolute value of a number is itsdistance from zero to the number line.Okay Thank you.It feels great that you still remember ourlast topic.6. MotivationIt seems that you have fully understoodour last topic, now we will proceed to thenext. But before we formally start ourlesson I will show you a video clipentitled Application of Integers in RealLife. While watching the video, you’regoing to take note of what you havenoticed in the video. Is that clear?Yes ma’am.If that so, here is the video.(The teacher will play the video)(after the video presentation)What can you say about the video thevideo?Yes Ms.The video shows us how integers arebeing used in this world.Thank you.Another?Yes Ms.The video tells us that we don’t have tohate mathematics because it is alreadypart of us, whether we like it or not,math is around us.Exactly!We can’t deny the fact that almost all ofthe students nowadays hate mathematicsa lot. But why? Though mathematics isreally part of our life. Everything we dois part of math. When we are eating,taking a bath or even when we travel.There is always an integration ofmathematics. Did I make myself clear?Yes ma’am.
B. Developmental Phase1. ACTIVITYSince you have a good observation in thevideo that you have been watched, let ushave an activity that is related to ourtopic. Are you excited?Yes ma’am.I will group you into 4. Please count 1 tofour.(The students will count 1 to 4)Go to your respective group.What you’re going to do is to create agraphic organizer. I have here a boxwhere you will pick your topic. Then youwill choose one representative to presentyour output.Is that clear?Yes ma’am.Representative of each group kindlycome here in front and pick your topicfrom the box.(The representatives will pick theirtopic from the box.)Each group will be given pointsaccording to the following LPoints5 points3 points2 points10 pointsThe points you will get will serve as yourpoints in recitation. Is that clear?Yes ma’am.I have here an example of graphicorganizer for you to have an idea of whatyou are going to do.(the teacher will show a Geometry
So it is one example of graphic organizerClass one thing you only have 3 minutesto do that activity and 2 minutes for theexplanation of your output.Is that clear?Yes ma’am.Is there any question about the mechanicsof our activity?None so far(the teacher will distribute the materials)Are you ready?Yes ma’am.Class when I say time’s up you need topaste your output on board.You may start now.(the students will start to do theactivity)(After 3 minutes)Time’s UpEverybody go back to your proper sit.Okay, now Group 1 kindly present youroutput.(The student will discuss the work ofher group)The topic that assigned to us is allabout addition. We write sum, total andaverage as the words that are related toaddition.Thank you!Now, may I call on Mr. todiscuss the work of group 2?(The student will discuss the work ofher group)MinusDifferenceSubtractionNegativeDecrease
The topic that assigned to us is allabout subtraction. The words that wewrite are minus, difference, negativeand decrease.Thank you!To discuss the work of group 3, may Icall on Ms. ?(The student will discuss the work ofher tiveThe topic that assigned to us is aboutmultiplication, and we come up withthe words product, times, multiply andmultiplicative.Thank you!And the last but definitely the least, mayI call on Mr. to the work ofgroup 4?(The student will discuss the work ofher group.)quotientdividendDivisionremainderdivisorThe topic that assigned to us is aboutdivision. We write the words quotient,remainder, divisor and dividend in thegraphic organizer.Thank you.Class give yourselves a Good Job clapfor a job well done.Here is your grades:Group 1 got PointsGroup 2 got PointsGroup 3 got PointsGroup 4 got Points(The students will do the Good Jobclap)
2. ANALYSISNow, what have you notice on ouractivity?Yes, Ms. ?I have notice that the words we got arethe four operations.Very good.Now, let us start our discussion.Today we are going to discuss the fouroperations on Integers. What are the fouroperations on integers?Yes, Mr. ?The four operations on integers areaddition, subtraction, multiplicationand division.Very good!In this lesson you will learn how toperform addition, subtraction,multiplication and division of integers.Now, let us first discuss the addition ofintegers. There are rules in addingintegers.(The teacher will post the rules)Ms. kindly read the firstrule.To add integers having the like signs:
a. Find their absolute value;b. Add the numbers obtained in step a;andc. Attach the common sign of theintegers to the answer in step b.Thank you!Here is the first example,I-6 (-3) ?Who wants to solve this equation?Yes Ms. ?How did you get your answer?Precisely!Here is another example,N-6 (-3) -6 -3 6 39 -9As stated in the rule no.1, first we findthe absolute value of both numberwhich is 3 and 6 respectively. Next weadd their absolute value and the sum is9. Then we attach the negative sign atthe sum since it is the common sign.
-7 (-4) ?-7 (-4) -7 -4 7 411 -11To add -7 and -4, we apply the ruleno.1 step a up to step c because we areadding two integers with like signs(both negative). Find their absolutevalue and add the result. We get 7 4 11. Then we attach the negative sign to11. Therefore, -7 (-4) -10Who wants to solve this?Yes Ms. ?How did you come up with that answer?2. To add integers having unlike signs:a. Find their absolute values;b. From the obtained number in step a,subtract the smaller number from thebigger number; andc. Attach the sign of the integer withthe bigger absolute value to the answerin step b.Exactly!Now, let us proceed to the rule no.2.Ms. kindly read.Thank you!Here is an example,-125 117 -125 - 117 125 – 1178 -8As stated in the rule, we find theirabsolute values and subtract the smallernumber from the bigger number. Weget 125 – 117 8, then we attached the
negative sign since it is the sign of thebigger number.T-125 117 ?Whowants to solve this example?Yes Ms. ?Explain your work please.Very good!Here is another example,4 (-10) 4 - -10 4 – 10 -6To add 4 and -10, since they have anunlike sign, first, get their absolutevalue which is 4 and 10, then subtractthe smaller number to the biggernumber in which we get 6 and weattach the negative sign that is the signof the bigger number.E4 (-10) ?Mr. kindly solve thisequation.How did you get your answer?Subtracting a number from anothernumber is the same as adding theopposite of n to the other number.
Precisely!Now, it seems that you alreadyunderstand the addition, let us proceed tothe next operation which is Subtraction.-15 – 19 -15 - 19 Mr. kindly read the rule 15 – 19in subtraction. 4Thank you!Here is an example,As said in the rule, subtracting numberfrom another is the same as adding theopposite number of it to the other, wejust find the opposite number of thesubtrahend and we get -19 and we addit to -15, the answer is -34 since theyare both negative.G-15 – 19 ?Who to wants to solve this problem?Prove your answer.-21 – (-14) 21 - 14 21 – 14
7 -7Very good!Here is another example,Subtracting -14 from -21 is the same asadding 14 to -21. Hence, we changesubtraction to addition then we change-14 to 14. So, -21 – 14 is -7.Because, as we can see in the giventheir sign is negative so we just copy it.E-21 – (-14) ?Ms. please solve thisequation.How did you come up with that answer?Why it is become negative?Precisely!Since you understand well the subtractionof integers, let us now proceed to thethird operation which is themultiplication. You may have noticedthat using repeated addition to find theproduct of two integers is quite tedious.Fortunately the process of multiplyingintegers can be simplified using thefollowing steps;1. To multiply integers with unlikesigns, multiply their absolute values.Attach the negative sign to the result.
-5 x 3 5 x 3 15 -15-5 multiply by 3, first find theirabsolute values and we get 5 and 3respectively. Find their product, 15 andattach a negative sign since the haveunlike signs.Ms. please read the first rule.Thank you!Let us have an example,R4 x (-3) 4 x -3 4x312Ms. can you please solve -12the example?-5 x 3 ?Explain your answer.Exactly!Here is another example,To solve 4 x (-3), notice that theintegers have unlike signs. The productis obtained by multiplying the absolutevalue of 4 ( 4 4) by that of -3 ( -3 3).This gives you 4 x 3 12 Attachnegative sign to 12; you will get -12.Thus, 4 x (-3) -122. To multiply two integers with likesigns, find the product of their absolutevalues. The result is always positive.
S4 x (-3) ?Solve the equation.How did you get your answer?Precisely!Now, let us proceed to the next rule,kindly read .-23 x (-4) -23 x -4 23 x 4 92To solve -23 x (-4), notice that theintegers have like signs. The product isobtained by multiplying the absolutevalue of -23 ( -23 23) by that of -4 ( 4 4). The product is 92. Since theyhave the same sign, then the product ispositive.Thank you!Here is an example,P-23 x (-4) ?4x7 28To solve for the product of 4 and 7, wemultiply the absolute value of 4 ( 4 4)
Ms. please solve thisproblem.by that of 7 ( 7 7). The answer is 28.Since the given is both positive theanswer is also positive.How did you come up with your answer?Very good!Here is another example,N1. To divide two integers with likesigns, find the quotient of their absolutevalues. The result is always positive.4 x 7 ?Please solve this Ms. .Explain your answer.Precisely!Now for the last operation, let us proceed 45 to division.5 9To solve 45 5, observe that thedivisor and the dividend have likesigns. Dividing the absolute value of 45( 45 45) by that of 5 ( 5 5) gives you9. Thus, 45 5 9.
Ms. please read the firstrule.Thank you!Here is an example,A45 5 ?Ms. please solves the equation.How did you get your answer?Precisely!Another example,-28 (-7) -28 -7 28 7 4To solve -28 (-7), as we can see theyhave the same signs. Get the absolutevalue of -28 ( -28 28) divided by thatof -7 ( -7 7) will give you 4. Thus, -28 (-7) 42. To divide two integers with unlikesigns, find the quotient of their absolutevalues. Attach the negative sign to theresult.
18 (-3) 18 -3 18 36 -6OTo solve 18 (-3), observe that thedivisor and the dividend have unlikesigns. Dividing the absolute value of 18( 18 18) by that of -3 ( -3 3) givesyou 6. Attach a negative sign to 6.Thus, 18 (-3) -6-28 (-7) ?Ms.please solves this one.Kindly explain to us how this happen.Very good! Now let us proceed to thesecond rule in dividing integers. Can youplease read Ms. ?Thank you!Here is an example,T18 (-3) ?Mr. please solve the problem30 (-6) 30 -6 30 65 -5To find the quotient of 30 (-6), wedivide the absolute value of 30( 30 30) by that of -6 ( -6 6) and weget 5. We just attach the negative signsince they have unlike signsNone ma’am.
(The student will stand)How do you come up with that answer?What are the four operations onintegers?The four operations on integers areaddition, subtraction, multiplicationand division.Precisely!Here is another example,E30 (-6) ?In adding integers, what will be thesign of the sum if you add -14 and -8?Why?If we add -14 and -8, the sign of thesum will be negative because as statedin the rule, when adding integers withlike signs just copy the sign.When you are multiplying two negativeintegers what will be the sign of theproduct?The sign of the product of two negativeintegers will be positive, because theyhave the like signs and in multiplyingintegers with like signs, the product isalways positive.Ms. please solves theequation.In dividing integers, when is thequotient become negative?How does it happen?In dividing integers, the quotientbecome negative when we are dividingtwo integers with unlike signs.What do you think is the mostimportant operations of integers?Very good!For me the most important operation ofNow, do you have any question regarding integers is the addition of integersthe four operations of integer?because it is the commonly use in ourdaily life.3. ABSTRACTIONSince, you don’t have any questionregarding to our topic, I will ask somequestions. I put a sticker under yourchair. Look under your chair and get thesticker. Those who got the sticker withstar can now sit back and relax whilethose who got the sticker with the heart,Why is an integer important to our life?For me, integers are important in ourdaily life because it was being used bymany people everywhere and everytime.
you are so lucky today because you gotthe question. Who got the question?Kindly read your question.Give a specific scenario in whichintegers are being used. Expand youranswer.For example, when you are shoppingyour clothes, the price of the clothes isan integer; the quantity of the clothesyou had bought is also an integer.Very good!Next question.Precisely!How about the next question?Exactly!Next question.Yes ma’amNone so farVery good!Next question.Ma’am we get Addition.Ma’am we get the Subtraction.Ma’am we get multiplication.Precisely.How about the last question?Ma’am division.
Precisely!How about the last question?Yes ma’amYes ma’amVery good.4. APPLICATIONSince you already understand our lesson,Let us have our final activity. In thisactivity, we will measure your creativity.Since you already have your respectivegroup I will no longer grouped you. Thisis you’re activity. You will construct a 3example of integer with solution. So Ihave here a brief case, inside the briefcase is the operation in integer, you willpick a brief case and you will open it toknow the operation that you will used inyour example. And another thing is youwill going to prepare a yell. Before youpresent your output you re going to havea yell first.Class I will only give you 3 minutes to dothe task and 2 minutes to each to presentyour output and yellIs that clear?Is there any question about theinstruction?(The group 1 will start to present theiryell)Ma’am here is our outputGroup 11. -2 (-6) -82. 15 (-4) 113. -25 20 -5(The group 2 will start to present theiryell)Ma’am here is our outputGroup 21. 18 – 19 -12. -6 – 4 -103. -40 – (-35) -5If that so, Representative of each groupcome here in front and pick your briefcase.(The group 2 will start to present theirGroup 1, what did you get? Open your yell)brief case.Ma’am here is our outputGroup 3What about group 2? open your brief case1. -6 x (-7) 422. 8 x (-8) -64Group 3 what did you get?3. 6 x 4 24And the last group?Ok class, I will grade you by group andmake sure you will have a participation.(The group 3 will start to present theirHere are the criteria on grading.yell)Ma’am here is our outputCriteriaPercentageGroup 4CONTENT50%1. -64 16 -4PARTICIPATION30%2. 18 3 6CREATIVTY10%3. -72 (-8) 9
YELLTOTAL10%100%Is that clear?You may now proceed to your group.I will set a timer, and when you here the G-double O-D J-O-B, Good Job, Goodword times up, finished or not you need Job.to go back to your proper sit.Class, are you ready?Ok timer starts now.(after 3 minutes)Times up!Now let’s have group number one.Thank you group 1.Now, group 2 presents your work.Thank you group 2.Now, Group 3 presents your work.Thank you Group 3.And the last but definitely not the least,group 4 presents your work.
Thank you group 4.Okay class, since you enjoy our activity,give yourselves a good Job clap.Here is your grades:Group 1 got %Group 2 got %Group 3 got %Group 4 got %Again give your self around of applausefor a job well done.IV.EVALUATIONSince you now have full of knowledge, get your ball pen and 1whole sheet of pad paperand answer the problem below.DIRECTION: Read each question carefully. Choose the letter of the correct answer andwrite it on the space provided before each number.1. If we are going to add -67 to 69, what will be the answer?a. 138b. -2c. 2d. -1382. Which of the following equation is true?a. -12 – 7 -5b. 12 x 3 39c. -13 x 5 65d. none of this3. Which of the following equation is not true?a. -24(3) -72b. -12 (-5) -17c. -17 – (6) -23d. none of this4. Which do not belong to the group?a. Divition of Integersb. Subtraction of Integersc. Multiplication of Integersd. Addition of Integers5. Which of the following statement is true?a. In Addition of Integers if the equation has unlike sign we subtract the larger numberfrom the smaller number.b. In Multiplication of Integers if the equation has unlike sign. The sign of the answer arealways positive.
c. Th
math trick. Do you want a math trick? Are you ready? So get any piece of paper and ball pen. Write your month number from you birthday. For example, if your birthday is June then your month number is 6. Then, multiply by 5. Next, add 6. Multiply the total by 4. Add 9. Multiply by 5 once again. Then, add your birth date. If you were
4 Step Phonics Quiz Scores Step 1 Step 2 Step 3 Step 4 Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 . Zoo zoo Zoo zoo Yoyo yoyo Yoyo yoyo You you You you
The Intermediate Value Theorem Lesson Plan Functions and Number Sense Lesson Plan Limit Definition of the Definite Integral Lesson Plan The Derivative at a Point The Derivative Function Lesson Plan Local Linearity Lesson Plan The Quotient Rule Lesson Plan Implicit Differentiation Lesson Plan Related Rates .
Lesson Plan). The lesson plan (sometimes also called lesson note) is included both Type A and Type B. The format of the lesson plan is the same as the standard lesson plan that Ghana Education Service (GES) provides. The sample lesson plans of Type A also contain “lesson plan with teaching hints” on the next page of the standard lesson plan.
Participant's Workbook Financial Management for Managers Institute of Child Nutrition iii Table of Contents Introduction Intro—1 Lesson 1: Financial Management Lesson 1—1 Lesson 2: Production Records Lesson 2—1 Lesson 3: Forecasting Lesson 3—1 Lesson 4: Menu Item Costs Lesson 4—1 Lesson 5: Product Screening Lesson 5—1 Lesson 6: Inventory Control Lesson 6—1
Lesson 41 Day 1 - Draft LESSON 42 - DESCRIPTIVE PARAGRAPH Lesson 42 Day 1 - Revise Lesson 42 Day 1 - Final Draft Lesson 42 - Extra Practice LESSON 43 - EXPOSITORY PARAGRAPH Lesson 43 Day 1 - Brainstorm Lesson 43 Day 1 - Organize Lesson 43 Day 1 - Draft LESSON 44 - EXPOSITORY PARAGRAPH Lesson 44 Day 1 - Revise
iii UNIT 1 Lesson 1 I’m studying in California. 1 Lesson 2 Do you have anything to declare? 5 Lesson 3 From One Culture to Another 8 UNIT 2 Lesson 1 You changed, didn’t you? 13 Lesson 2 Do you remember . . . ? 17 Lesson 3 Women’s Work 20 UNIT 3 Lesson 1 We could have an international fall festival! 25 Lesson 2 You are cordially invited. 29 Lesson 3 Fall Foods 32 UNIT 4 Lesson 1 Excuses .
For Children 4-7 Years Old Series 6 Old Testament: Genesis From Creation to the Patriarchs Lesson 1 Creation Lesson 2 Adam and Eve Lesson 3 Cain and Abel Lesson 4 Noah and the Ark Lesson 5 Abraham’s Call Lesson 6 Isaac – The Son of Promise Lesson 7 Isaac and Rebekah Lesson 8 Jacob and Esau Lesson 9 Jacob Marries Rachel Lesson 10 Jacob is .
Contents Preface 4 Lesson 1 What Is Wisdom? 14 Lesson 2 Wisdom and Foolishness 27 Lesson 3 The Example of Wise Men 40 Lesson 4 Our Home Life 55 Lesson 5 Honoring Our Parents 71 Lesson 6 Freedom and Responsibility 85 Lesson 7 How Attitudes Affect Actions 102 Lesson 8 Right Attitudes About Myself 117 Lesson 9 Good Friends and Bad Friends 130 Lesson 10 Choosing the Right Friends 140
