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exponents by Rona Moselina
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exponents by Rona Moselina
1.
AStrategicInterventionMaterial MathematicsGrade7 RONAJ.MOSELINA GuisguisNationalHighSchool Least Mastered Learning
Competency Interprets the meaning of an where n is a positive integer. Subtasks: 1. Identify the base and exponent of a given expression. 2. Evaluate the expression.
2.
TOPIC: WHYEXPONENT/ POWERSARE IMPORTANT? IDON’TGETIT…..I’LL LOOKFORAPATTERN TOFIGUREITOUT. BECAUSE EXPONENTS AREUSED INA VARIETYOF WAYS. HEY! WHERE THE POWERS? WHERE
SUPPOSED TO GET SPECIAL TREATMENT! THERE, AT THE BASEMENT. HURRY UP, GUYS! LET US DISCOVER!
3.
ACTIVITYCARD D.5x5x5x5x5C.10x10x10x10 E.2x2x2x2 B.3x3x3 A.2x2 4 27 3125 16 10,000 Turnto nextpage. You want more? Begin
at the box under the large “start here” arrow. Solve the exponent problem shown & fol- low choices to the next box, continue through the maze until the “End” box. If you get… Perfect Score(15) 12-14 9-11 8 and below
4.
Expand-simplifythegivenexpression. 4.43 5.2x2x2 1.105 2.24 3.3x3x3 Answers: 1._______________2._______________3._______________4._______________5._______________ Question: Didyounoticesomething? Whatcanyouconcludeaboutan? Checkyour answer. Congratulations! To
get your reward, proceed to the next activity. Fight your way to victory!
5.
FILLMEIN! Completethetablewiththecorrectanswer. GivenBaseExponent Expanded Form SimplifiedValue 1) 2) 3)7x7x7x7 4)5x5x5x5x5x5 5)8x8x8 = a x
a x a x a …... (n times) In an, a is called the base and n is the exponent. FOR YOUR INFORMATION………
6.
Medicine Doctorsmayuseexpo- nentstofigureouthow quicklyadiseaseis goingtospread,asan- tigensmultiplythem- selvestoattackthe body. EXPONENTIN THEREAL WORLD CountingLarge Numbers Exponentsareusedwhen countingthingsvery quickly.Forexample,the numberofbacteriaina singlesneezeisbetween 1x104and1x105 Computers Exponentsareoften usedtodescribeacom- puter’smemory.For example,1gigabyteof RAMmeansthatyou have1x109bytes. ScientificNotation Scientistuseexponentstomeasure sizeofanearthquake.25is 2x2x2x2x2.Anotherwaytheyare usedtomeasurelargedistances.For example,thedistancefromtheearth tothemoonis1x105km. ENRICHMENT ACTIVITY Evaluate the following. 1.
(32)4 = ___________________________ 2. (an)m = ___________________________ 3. (23)2 = ___________________________ 4. (x4)3 = ___________________________ 5. (22)2 = ___________________________
7.
References Dilao,SoledadJ.,OrinesFernandoB.,&Bernabe,JulietaG.(2009).Ad- vancedAlgebra,TrigonometryandStatistics.DepartmentofEducation, RepublicofthePhilippines WWW.GOOGLE.COM&WWW.ImagesSearchEngines EFERZAAcademicPublications,2010SecondaryEducation.TeachingGuide inElementaryAlgebra. ANSWER KEY D.5x5x5x5x5 C.10x10x10x10 E. 2x2x2x2 B.3x3x3X3A.2
x 2 4 27 3 125 16 10,000
8.
Beginattheboxunderthelarge“starthere”arrow.Solvetheexponentproblemshown&fol- lowchoicestothenextbox,continuethroughthemazeuntilthe“End”box. Expand-simplify the given
expression. 4. 435. 2x2x2 1. 105 2. 243. 3x3x3 Answers: 1._10x10x10x10x10 2. _2x2x2x2x 3. _3 3 4. 4x4x4 5. _2 2 Question: Did you notice something? Yes What can you conclude about an ? In an, a is called the base and n is the exponent.
9.
FILLMEIN! Completethetablewiththecorrectanswer. GivenBaseExponent Expanded Form SimplifiedValue 1)828x88264 2)10510x10x10x10x10105100,000 3)7x7x7x7747x7x7x7742,401 4)5x5x5x5x5x5565x5x5x5x5x55615,625 5)8x8x8838x8x883512 ENRICHMENT ACTIVITY Evaluate the following. 1.(32)4
= 38 = 6,561 2. (an)m = anm 3. (23)2 = 26 =64 4. (x4)3 = x12 5. (22)2 = 24 =16
10.
Preparedby: RONAJ.MOSELINA Teacher-II Approved: JULITAM.VALDEZ Principal-II
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