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Arithmetic lp

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Stephanie Joy Lungub

The document provides a detailed lesson plan for teaching arithmetic sequences to a 10th grade mathematics class. The objectives are for students to illustrate, determine the nth term of, and appreciate arithmetic sequences. The lesson proper involves motivating students with a treasure box activity, defining and formulating the formula for an arithmetic sequence, working examples, and evaluating student understanding with an "Answer Me" game. Key points are the definition of an arithmetic sequence as having terms obtained by adding a constant difference, and the formula An=a1+(n-1)d to find the nth term.

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A Detailed Lesson Plan In Mathematics 10 (Grade 10) Date of Submission: Date of Execution: Submittedby: Stephanie JoyE.Lungub Teacher Applicant
A Detailed Lesson Plan In Mathematics 10 (Grade 10) I. Objectives At the endof a 60-minute discussion,the studentsare expectedto; a. Illustrate an arithmeticsequence; b. Determine the nthtermof a givenarithmeticsequence; c. Show appreciationin arithmeticsequence. II. SubjectMatter A. Topic:ArithmeticSequence B. References:LearnersMaterial inMathematicsforGrade 10 by DepEdand Google C. Materials:PrintedMaterials,PowerPointPresentation,Treasure box,chalkandboard D. Strategies:InductiveMethod E. Skillstobe Developed: defining,identifying,finding,determining III. LessonProper Teachers Activity Learners Activity A. DailyRoutine Good morning,class! Let usstart ourclass withthe guidance of our Lord.Who wantsto leadus a prayer?Yes? Before takingyourseats,see toit that yourchair is properlyaligned and pickup those piecesof paper underthem. You may nowtake your seats. ClassSecretary, mayyoucheck the attendance.Isthere anyone absent for today? Verygood.Keepupthe goodwork. B. Motivation Let me share you something,I learnedall aboutalchemy.Yes,you heardit right,I am an alchemist.I have travelledall alongthe Sahara : Good morning,maam! : (Prayer) : (The studentswill doastold.) :None,maam.
Desertto findformy treasure and finally,here itis.Iwantto share you my treasure butwithone condition. Helpme finishatask so that we can able to openthe treasure box.Do youwant to helpme,class? Alright.We have here a table, help me answerwhat isflash onthe screento complete ourtable sothat we can openour treasure box. Is that alrightto you,class? Now,letsbegin. C. Presentationof the Lesson Since we alreadycomplete the table, we can open nowour treasure box. Anyrepresentative of the classmay come at frontand openit. Nowclass,what phrase hasrevealed inour treasure box? Thats right!Andthat will be our focusfor today. D. Developmentof the lesson We have here the definitionof ArithmeticSequence,whowantsto readit? Yes? Is the meaningof arithmetic sequence cleartoyou,class? For furtherunderstanding, letstake a lookto the resultof our activitya while ago. What doyou observe on the numberof matchsticks? : Yes, maam! : Yes,maam : (The class will dothe task.) : (Representativeof the class will openthe treasure.) : ArithmeticSequence : An ArithmeticSequenceisasequence where everytermafterthe firstisobtained by addinga constantcalledthe common difference. : Yes,maam! : The numberof matchsticksincreasesby3 as we add anothersquare.
Great Observation! Suppose we wantto findthe numberof matchsticksof 20 squares.Doyou thinka formula wouldhelpusfindit,class? Great! Now we needtoformulate a formulasothat we can easilyfind the numberof matchsticksof 20 squares.First, letsrewriteeach termon howwe obtainthe second, third,fourth, andfifthterms.What isour firstterm,class? Thats right! Now,whatwe will addto the secondterm? Brilliant! Whichis our secondtermwill be 4+3. How aboutour thirdterm, how many3s will we add? Astonishing! Whichis our thirdtermwill be 4+3+3, right? Verygood!Now whowantsto complete uptofifth term?Yes? Excellent! Now,we will studyeachtermsand rewrite itinanotherform.Our 1st termis 4+0(3), we multipliedinto zerosince we donthave 3 to add in our firstterm,then,forour 2nd term is4+1(3) since we added3 once on the firstterm.Am I right, class? Nowwhowants to write for the 3rd term? Amazing! How aboutthe 4th term?5th term? Excellent! Now,we can alreadydeterminethe numberof matchsticksneededto : Yes,maam. : 4, maam : 3, maam. : We will addtwo3s, maam. : Yes,maam. : a4= 4+3+3+3 a5= 4+3+3+3+3 : Yes,maam. : 4+2(3) : 4+3(3), 4+4(3)
formn square.Will youreadthe formula,class? Thank you! Now,letscheck fromour table.We let4 as a1 whichisthe firstterm, n whichisthe numberof termsand subtractedby1 to get the 1 and we let3 as d as the commondifference. Didyou getit class? Now,we can findalreadyof how manynumbersof matchsticksin20 squares.We will now use the formulaAn=a1+ (n-1) d to findit. Who wantsto substitute ourgiven inthe formula?Yes? Commendable! Who wantsto solve it?Yes? Verygood! We can nowconclude thatwe need 61 matchsticksto form20 squares. Didyou getit, class? For furtherunderstanding,lets have anotherexample. Will youreadit? Yes? Thank you! Now,whatis the firsttermof our sequence? Yes? Verygood! Who wantsto give me the common difference?Yes? Exactly! Now,whowantsto substitute this giveninthe formula?Yes? Spectacular! : An= a1+ (n-1) d a1 isthe firstterm d is the commondifference n is the numberof terms An is the nth term : Yes,maam. : A20= 4 + (20-1)3 : A20 =4+(19)3 =4+ 57 =61 : Yes,maam. : What is the 10th term of the arithmetic sequence 5,12, 19, 26, ? : 5, maam. : 7 maam. : An= a1+ (n-1) d A10=5 + (10-1) 7
Now,whowantsto solve onthe board?Yes? Precisely! Andthe value of 10th terminour sequence is59. Didyoufollow, class? Seemslike youalreadyunderstand on howto solve arithmeticsequence E. Application To testif youunderstandourtopic, letshave a game entitledAnswer Me. Who wantsto readthe mechanics?Yes? Is the instructioncleartoyou,class? Ok,we may nowstart. In the arithmeticsequence 3,7,11,15,19, . . . What isthe firstterm? What isthe commondifference? What isthe 25th termof the sequence? Is the sequence 15,17, 19, 21, . . . consideranarithmeticsequence? : A10= 5 +(9)7 = 5 + 54 = 59 :Yes,maam. : Mechanics: 1. The classwill be dividedinto4 groups. 2. Representative of eachgroupwill come at frontand gettheirmaterials for the game. 3. The teacherwill give anarithmetic sequence onscreenandanswer whatis askedonit. 4. The firstgroup whoraise theirboard firstand got the correct answerwill geta point. 5. The group whowill getthe highest pointswill be the winner. (Note:The teacherwill deductpointson a group whois noisywhile doingthe activity.) : Yes,maam. : 3 : 4 : 99
Yes or No? If a1=1 and d=5, whatisA4? Is the sequence 1/2,1, 3/2, 2, 5/2, considerarithmeticsequence?Yes or no? What isthe commondifference? Basedon the outcomesof your work,it seemsyoulearnedaloton our topic. F. Valuing We have here a figure,whatisyour insightaboutit?Yes? Sequence of Relationship God You Family Love Love Thats true! We have here the sequence of relationshipwhichisGod,Youand Familyandtheircommondifference isLove.Why Love?Love is the strongestforce,Godcreatedus because he lovesusand we have a familywhocaresus because they love usso we needtolove them back as theylove youwithall their heart. G. Generalization To sum upwhat we have tackledfor today,whowantsto give me the definitionof ArithmeticSequence? Yes? Splendid! Andwhowants to give me the formulaof arithmeticsequence in findingthe nthterm? : Yes : 16 : Yes : 遜 : Love is the one to complete inevery relationship,withoutlove,there isnoany kindof relationship. : An ArithmeticSequenceisasequence where everytermafterthe firstisobtained by addinga constantcalledthe common difference. : An= a1+ (n-1) d
Excellent! You didmasterour lessonfortoday. IV. Evaluation To testyour understandingonourtopicfortoday, bring out1 whole sheetof paperand answerthe following. 1. Findthe 6th termof the arithmeticsequence 1,0,-1,-2,-3, 2. Usingthe formula,whichtermof the arithmeticsequence is -18,giventhata1=7 and a2=2? 3. Findthe 9th termof the arithmeticsequence witha1=10and d=-1/2 4. What isthe 15th termof the arithmeticsequence2,4,6,8,? 5. The third termof a sequence is16 and the fourthtermis 20, what isthe firstterm? V. Assignment For yourhome delight,bringoutyournotesandcopy whatis on the screentobe check tomorrow. 1. Give the definitionof anarithmeticmean. 2. Findthe arithmeticmeansbetween5and25. Thats fortoday.Goodbye,class! :Goodbye,maam.

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Arithmetic lp

  • 1. A Detailed Lesson Plan In Mathematics 10 (Grade 10) Date of Submission: Date of Execution: Submittedby: Stephanie JoyE.Lungub Teacher Applicant
  • 2. A Detailed Lesson Plan In Mathematics 10 (Grade 10) I. Objectives At the endof a 60-minute discussion,the studentsare expectedto; a. Illustrate an arithmeticsequence; b. Determine the nthtermof a givenarithmeticsequence; c. Show appreciationin arithmeticsequence. II. SubjectMatter A. Topic:ArithmeticSequence B. References:LearnersMaterial inMathematicsforGrade 10 by DepEdand Google C. Materials:PrintedMaterials,PowerPointPresentation,Treasure box,chalkandboard D. Strategies:InductiveMethod E. Skillstobe Developed: defining,identifying,finding,determining III. LessonProper Teachers Activity Learners Activity A. DailyRoutine Good morning,class! Let usstart ourclass withthe guidance of our Lord.Who wantsto leadus a prayer?Yes? Before takingyourseats,see toit that yourchair is properlyaligned and pickup those piecesof paper underthem. You may nowtake your seats. ClassSecretary, mayyoucheck the attendance.Isthere anyone absent for today? Verygood.Keepupthe goodwork. B. Motivation Let me share you something,I learnedall aboutalchemy.Yes,you heardit right,I am an alchemist.I have travelledall alongthe Sahara : Good morning,maam! : (Prayer) : (The studentswill doastold.) :None,maam.
  • 3. Desertto findformy treasure and finally,here itis.Iwantto share you my treasure butwithone condition. Helpme finishatask so that we can able to openthe treasure box.Do youwant to helpme,class? Alright.We have here a table, help me answerwhat isflash onthe screento complete ourtable sothat we can openour treasure box. Is that alrightto you,class? Now,letsbegin. C. Presentationof the Lesson Since we alreadycomplete the table, we can open nowour treasure box. Anyrepresentative of the classmay come at frontand openit. Nowclass,what phrase hasrevealed inour treasure box? Thats right!Andthat will be our focusfor today. D. Developmentof the lesson We have here the definitionof ArithmeticSequence,whowantsto readit? Yes? Is the meaningof arithmetic sequence cleartoyou,class? For furtherunderstanding, letstake a lookto the resultof our activitya while ago. What doyou observe on the numberof matchsticks? : Yes, maam! : Yes,maam : (The class will dothe task.) : (Representativeof the class will openthe treasure.) : ArithmeticSequence : An ArithmeticSequenceisasequence where everytermafterthe firstisobtained by addinga constantcalledthe common difference. : Yes,maam! : The numberof matchsticksincreasesby3 as we add anothersquare.
  • 4. Great Observation! Suppose we wantto findthe numberof matchsticksof 20 squares.Doyou thinka formula wouldhelpusfindit,class? Great! Now we needtoformulate a formulasothat we can easilyfind the numberof matchsticksof 20 squares.First, letsrewriteeach termon howwe obtainthe second, third,fourth, andfifthterms.What isour firstterm,class? Thats right! Now,whatwe will addto the secondterm? Brilliant! Whichis our secondtermwill be 4+3. How aboutour thirdterm, how many3s will we add? Astonishing! Whichis our thirdtermwill be 4+3+3, right? Verygood!Now whowantsto complete uptofifth term?Yes? Excellent! Now,we will studyeachtermsand rewrite itinanotherform.Our 1st termis 4+0(3), we multipliedinto zerosince we donthave 3 to add in our firstterm,then,forour 2nd term is4+1(3) since we added3 once on the firstterm.Am I right, class? Nowwhowants to write for the 3rd term? Amazing! How aboutthe 4th term?5th term? Excellent! Now,we can alreadydeterminethe numberof matchsticksneededto : Yes,maam. : 4, maam : 3, maam. : We will addtwo3s, maam. : Yes,maam. : a4= 4+3+3+3 a5= 4+3+3+3+3 : Yes,maam. : 4+2(3) : 4+3(3), 4+4(3)
  • 5. formn square.Will youreadthe formula,class? Thank you! Now,letscheck fromour table.We let4 as a1 whichisthe firstterm, n whichisthe numberof termsand subtractedby1 to get the 1 and we let3 as d as the commondifference. Didyou getit class? Now,we can findalreadyof how manynumbersof matchsticksin20 squares.We will now use the formulaAn=a1+ (n-1) d to findit. Who wantsto substitute ourgiven inthe formula?Yes? Commendable! Who wantsto solve it?Yes? Verygood! We can nowconclude thatwe need 61 matchsticksto form20 squares. Didyou getit, class? For furtherunderstanding,lets have anotherexample. Will youreadit? Yes? Thank you! Now,whatis the firsttermof our sequence? Yes? Verygood! Who wantsto give me the common difference?Yes? Exactly! Now,whowantsto substitute this giveninthe formula?Yes? Spectacular! : An= a1+ (n-1) d a1 isthe firstterm d is the commondifference n is the numberof terms An is the nth term : Yes,maam. : A20= 4 + (20-1)3 : A20 =4+(19)3 =4+ 57 =61 : Yes,maam. : What is the 10th term of the arithmetic sequence 5,12, 19, 26, ? : 5, maam. : 7 maam. : An= a1+ (n-1) d A10=5 + (10-1) 7
  • 6. Now,whowantsto solve onthe board?Yes? Precisely! Andthe value of 10th terminour sequence is59. Didyoufollow, class? Seemslike youalreadyunderstand on howto solve arithmeticsequence E. Application To testif youunderstandourtopic, letshave a game entitledAnswer Me. Who wantsto readthe mechanics?Yes? Is the instructioncleartoyou,class? Ok,we may nowstart. In the arithmeticsequence 3,7,11,15,19, . . . What isthe firstterm? What isthe commondifference? What isthe 25th termof the sequence? Is the sequence 15,17, 19, 21, . . . consideranarithmeticsequence? : A10= 5 +(9)7 = 5 + 54 = 59 :Yes,maam. : Mechanics: 1. The classwill be dividedinto4 groups. 2. Representative of eachgroupwill come at frontand gettheirmaterials for the game. 3. The teacherwill give anarithmetic sequence onscreenandanswer whatis askedonit. 4. The firstgroup whoraise theirboard firstand got the correct answerwill geta point. 5. The group whowill getthe highest pointswill be the winner. (Note:The teacherwill deductpointson a group whois noisywhile doingthe activity.) : Yes,maam. : 3 : 4 : 99
  • 7. Yes or No? If a1=1 and d=5, whatisA4? Is the sequence 1/2,1, 3/2, 2, 5/2, considerarithmeticsequence?Yes or no? What isthe commondifference? Basedon the outcomesof your work,it seemsyoulearnedaloton our topic. F. Valuing We have here a figure,whatisyour insightaboutit?Yes? Sequence of Relationship God You Family Love Love Thats true! We have here the sequence of relationshipwhichisGod,Youand Familyandtheircommondifference isLove.Why Love?Love is the strongestforce,Godcreatedus because he lovesusand we have a familywhocaresus because they love usso we needtolove them back as theylove youwithall their heart. G. Generalization To sum upwhat we have tackledfor today,whowantsto give me the definitionof ArithmeticSequence? Yes? Splendid! Andwhowants to give me the formulaof arithmeticsequence in findingthe nthterm? : Yes : 16 : Yes : 遜 : Love is the one to complete inevery relationship,withoutlove,there isnoany kindof relationship. : An ArithmeticSequenceisasequence where everytermafterthe firstisobtained by addinga constantcalledthe common difference. : An= a1+ (n-1) d
  • 8. Excellent! You didmasterour lessonfortoday. IV. Evaluation To testyour understandingonourtopicfortoday, bring out1 whole sheetof paperand answerthe following. 1. Findthe 6th termof the arithmeticsequence 1,0,-1,-2,-3, 2. Usingthe formula,whichtermof the arithmeticsequence is -18,giventhata1=7 and a2=2? 3. Findthe 9th termof the arithmeticsequence witha1=10and d=-1/2 4. What isthe 15th termof the arithmeticsequence2,4,6,8,? 5. The third termof a sequence is16 and the fourthtermis 20, what isthe firstterm? V. Assignment For yourhome delight,bringoutyournotesandcopy whatis on the screentobe check tomorrow. 1. Give the definitionof anarithmeticmean. 2. Findthe arithmeticmeansbetween5and25. Thats fortoday.Goodbye,class! :Goodbye,maam.