sponge activity #1 for mathematical properties for uil ... · pdf fileanswer key (attached)...
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SpongeActivity#1forMathematicalPropertiesforUILNumberSense
LessonGoal:Studentswilllearntousethecommutative,associative,anddistributivepropertiesinwaystosolvemathproblemsusingNumberSenseTests.Time:Nomorethan15minutes.Course:AlgebraI&AlgebraIITEKSAddressed:AlgebraI(3)(A)(B)Foundationsforfunctions.Thestudentunderstandshowalgebracanbeusedtoexpressgeneralizationsandrecognizesandusesthepowerofsymbolstorepresentsituations.Thestudentisexpectedto:usesymbolstorepresentunknownsandvariables;andlookforpatternsandrepresentgeneralizationsalgebraically.AlgebraII(2)(A)Foundationsforfunctions.Thestudentunderstandstheimportanceoftheskillsrequiredtomanipulatesymbolsinordertosolveproblemsandusesthenecessaryalgebraicskillsrequiredtosimplifyalgebraicexpressionsandsolveequationsandinequalitiesinproblemsituations.Thestudentisexpectedto:usetoolsincludingfactoringandpropertiesofexponentstosimplifyexpressionsandtotransformandsolveequations.MaterialsNeeded:
1. Pencil.2. Practiceproblems(attached)3. AnswerKey(attached)
Procedures:
ThisActivity(Includinggradingtime)shouldtakenolongerthan15minuteseitheratthebeginningorendoftheclassperiod.Ifthisworkistobegraded,giveextrapointsforspeed.
1. GivetheProblemWorksheettoeachStudent.2. TimetheStudentstakingtheWorksheet.(Nomorethan10min.)3. GradetheWorksheetpointingoutthehintsforeachproblem.
Lesson#1Workeachoftheseproblemsasquicklyaspossible.
Estimate#10toplusorminus10%.
AnswerstoLesson#1
1) Addbystartingontheleftandworkingtotheright.2) Multiplyingby11
a. Putazeroinfrontandinbackofthenumberb. (020090)c. Addpairsofdigitsstartingontheright.d. 0+9,9+0,0+0,0+2,2+0
3) Subtractwithborrowing.4) Dividingby25
a. 1/25=4/100b. Multiply2010by4c. MoveDecimalPlace2unitsleft.
5) Leave,Change,Flip
a.
€
35
x158
b. Cancelthe5’s
c.
€
31
x38
=98
6) MakeImproper
a.
€
4x2 23
= 4x83
=323
=10 23
7)
€
16% =16100
=425
8) OrderofOperationsa. 3+(4x5‐6)÷7b. 3+(20‐6)÷7c. 3+14÷7d. 3+2e. 5
9) Memorize1/8=.125;3(.125)=.37510) Estimation
a. Roundtothenearest100b. 2000+2000+2900=6900
SpongeActivity#2forMathematicalPropertiesforUILNumberSense
LessonGoal:Studentswilllearntousethecommutative,associative,anddistributivepropertiesindifferentwaystosolvemathproblemsusingNumberSenseTests.Time:NoMorethan15MinutesCourse:AlgebraI&AlgebraIITEKSAddressed:AlgebraI(3)(A)(B)Foundationsforfunctions.Thestudentunderstandshowalgebracanbeusedtoexpressgeneralizationsandrecognizesandusesthepowerofsymbolstorepresentsituations.Thestudentisexpectedto:usesymbolstorepresentunknownsandvariables;andlookforpatternsandrepresentgeneralizationsalgebraically.AlgebraII(2)(A)Foundationsforfunctions.Thestudentunderstandstheimportanceoftheskillsrequiredtomanipulatesymbolsinordertosolveproblemsandusesthenecessaryalgebraicskillsrequiredtosimplifyalgebraicexpressionsandsolveequationsandinequalitiesinproblemsituations.Thestudentisexpectedto:usetoolsincludingfactoringandpropertiesofexponentstosimplifyexpressionsandtotransformandsolveequations.MaterialsNeeded:
1. Pencil.2. Practiceproblems(attached)3. AnswerKey(attached)
Procedures:
ThisActivity(Includinggradingtime)shouldtakenolongerthan15minuteseitheratthebeginningorendoftheclassperiod.Ifthisworkistobegraded,giveextrapointsforspeed.
1. GivetheProblemWorksheettoeachStudent.2. TimetheStudentstakingtheWorksheet.(Nomorethan10min.)3. GradetheWorksheetpointingoutthehintsforeachproblem.
Lesson#2Workeachoftheseproblemsasquicklyaspossible.
Estimate#10toplusorminus10%.
AnswerstoLesson#2
1) Noticethatanswerwillbenegativea. ‐2010+231b. Subtractwithborrowing.
2)
€
38
x49
=12
x13
=16
3) LongDivisiona. Writeanswertothenearestpenny.
4) ChangeMixedNumbertoDecimala. 2.01‐2.1+21b. ‐.09+21c. 20.91
5) ChangeDecimaltoFraction
a.
€
49
÷3
10
b. Leave,Change,Flip
c.
€
49
x103
=4027
6)
€
44% =44
100=
1125
7) OrderofOperations(DivideFirsttoMakeeasier)a. 9x6÷3‐6+9b. 9x2‐6+9c. 9x3‐6d. 27‐6=21
8) UsebackwardsFOIL(RighttoLeft)a. 3x4=12
i. (Write2Carry1)b. 4x4+3x3+1=16+9+1=26
i. (Write6Carry2)c. 3x4+2=14
i. (Write14)9) Factor(Answerisnegative)
a. (63‐82)15b. (‐19)15c. UseReverseFOILd. 9x5=45
i. Write5Carry4e. 1x5+1x9+4=18
i. Write8Carry1f. 1x1+1=2
10) Estimationa. Roundtothenearest10b. 750‐940+840c. 750‐100=650
SpongeActivity#3forMathematicalPropertiesforUILNumberSense
LessonGoal:Studentswilllearntousethecommutative,associative,anddistributivepropertiesindifferentwaystosolvemathproblemsusingNumberSenseTests.Time:NoMorethan15MinutesCourse:AlgebraI&MathModelsTEKSAddressed:MathModels(2)(B)Thestudentusesgraphicalandnumericaltechniquestostudypatternsandanalyzedata.Thestudentisexpectedtoanalyzenumericaldatausingmeasuresofcentraltendency,variability,andcorrelationinordertomakeinferences.AlgebraI(4)(B)Foundationsforfunctions.Thestudentunderstandstheimportanceoftheskillsrequiredtomanipulatesymbolsinordertosolveproblemsandusesthenecessaryalgebraicskillsrequiredtosimplifyalgebraicexpressionsandsolveequationsandinequalitiesinproblemsituations.Thestudentisexpectedtousethecommutative,associative,anddistributivepropertiestosimplifyalgebraicexpressions.MaterialsNeeded:
1. Pencil.2. Practiceproblems(attached)3. AnswerKey(attached)
Procedures:
ThisActivity(Includinggradingtime)shouldtakenolongerthan15minuteseitheratthebeginningorendoftheclassperiod.Ifthisworkistobegraded,giveextrapointsforspeed.
1. GivetheProblemWorksheettoeachStudent.2. TimetheStudentstakingtheWorksheet.(Nomorethan10min.)3. GradetheWorksheetpointingoutthehintsforeachproblem.
Lesson#3Workeachoftheseproblemsasquicklyaspossible.
Estimate#20toplusorminus10%.
AnswerstoLesson#3
11) Memorizesquaresto35a. 172=289
12) Conversionsa. 8oz=½poundb. 3x1.1=3.30
13) GCDa. 3x16=48b. 3x19=57
i. GCD=314) UseRemainders
a. 58/4remainder2b. 79/4remainder3c. 66/4remainder2d. 2+3+2=7;7/4remainder3
15) 4pecks=1bushela. 2½x4=10
16) OrdertheDataa. 1,1,2,2,3,3,4,5b. Averageof2&3is2.5
17) Memorizeprimesto100a. 97
18) Memorizecubesto20a. 113=1331
19) 2010÷5=40220) Estimation
a.
€
1243 ≈ 35 b. Round3421to3400c. 35x3500=122500
SpongeActivity#4forMathematicalPropertiesforUILNumberSense
LessonGoal:Studentswilllearntousethecommutative,associative,anddistributivepropertiesindifferentwaystosolvemathproblemsusingNumberSenseTests.Time:NoMorethan15MinutesCourse:AlgebraIorAlgebraIITEKSAddressed:AlgebraI(4)(B)(3)(A)(B)Foundationsforfunctions.Thestudentunderstandshowalgebracanbeusedtoexpressgeneralizationsandrecognizesandusesthepowerofsymbolstorepresentsituations.Thestudentisexpectedto:usesymbolstorepresentunknownsandvariables;andlookforpatternsandrepresentgeneralizationsalgebraically.Thestudentunderstandstheimportanceoftheskillsrequiredtomanipulatesymbolsinordertosolveproblemsandusesthenecessaryalgebraicskillsrequiredtosimplifyalgebraicexpressionsandsolveequationsandinequalitiesinproblemsituations.Thestudentisexpectedtousethecommutative,associative,anddistributivepropertiestosimplifyalgebraicexpressions.AlgebraII(2)(A)Foundationsforfunctions.Thestudentunderstandstheimportanceoftheskillsrequiredtomanipulatesymbolsinordertosolveproblemsandusesthenecessaryalgebraicskillsrequiredtosimplifyalgebraicexpressionsandsolveequationsandinequalitiesinproblemsituations.Thestudentisexpectedto:usetoolsincludingfactoringandpropertiesofexponentstosimplifyexpressionsandtotransformandsolveequations.MaterialsNeeded:
1. Pencil.2. Practiceproblems(attached)3. AnswerKey(attached)
Procedures:
ThisActivity(Includinggradingtime)shouldtakenolongerthan15minuteseitheratthebeginningorendoftheclassperiod.Ifthisworkistobegraded,giveextrapointsforspeed.
1. GivetheProblemWorksheettoeachStudent.2. TimetheStudentstakingtheWorksheet.(Nomorethan10min.)3. GradetheWorksheetpointingoutthehintsforeachproblem.
Lesson#4Workeachoftheseproblemsasquicklyaspossible.
Estimate#10toplusorminus10%.
AnswerstoLesson#4
1) Subtractwithborrowinga. 2210‐1030=1180
2)
€
710
x5
14=
12
x12
=14
3) Multiplyingby11a. Putazeroinfrontandinbackofthenumberb. (03260)c. Addpairsofdigitsstartingontheright.d. 0+6,6+2,2+3,3+0
4) Leave,Change,Flip
a.
€
524
x43
=56
x13
=5
18
b. Cancelthe5’s
5)
€
36% =36
100=
925
6) OrderofOperationsa. (2+3)‐5÷6x4b. 5‐5÷6x4
c. 5‐
€
103
d.
€
153−
103
e.
€
53
7) MemorizeSquaresto35a. 172=289
8) UsebackwardsFOIL(RighttoLeft)a. 5x6=30
i. (Write0Carry3)b. 6x6+5x5+3=36+25+3=64
i. (Write4Carry6)c. 6x5+6=36
i. (Write36)9) MemorizeCubesto20
a. 93=72910) Estimation
a. Roundtothenearest100b. 3200+4000‐5100=2100
SpongeActivity#5forMathematicalPropertiesforUILNumberSense
LessonGoal:Studentswilllearntousethecommutative,associative,anddistributivepropertiesindifferentwaystosolvemathproblemsusingNumberSenseTests.Time:NoMorethan15MinutesCourse:AlgebraIandAlgebraIITEKSAddressed:AlgebraI(3)(A)(B)Foundationsforfunctions.Thestudentunderstandshowalgebracanbeusedtoexpressgeneralizationsandrecognizesandusesthepowerofsymbolstorepresentsituations.Thestudentisexpectedto:usesymbolstorepresentunknownsandvariables;andlookforpatternsandrepresentgeneralizationsalgebraically.AlgebraII(2)(A)Foundationsforfunctions.Thestudentunderstandstheimportanceoftheskillsrequiredtomanipulatesymbolsinordertosolveproblemsandusesthenecessaryalgebraicskillsrequiredtosimplifyalgebraicexpressionsandsolveequationsandinequalitiesinproblemsituations.Thestudentisexpectedto:usetoolsincludingfactoringandpropertiesofexponentstosimplifyexpressionsandtotransformandsolveequations.MaterialsNeeded:
1. Pencil.2. Practiceproblems(attached)3. AnswerKey(attached)
Procedures:
ThisActivity(Includinggradingtime)shouldtakenolongerthan15minuteseitheratthebeginningorendoftheclassperiod.Ifthisworkistobegraded,giveextrapointsforspeed.
1. GivetheProblemWorksheettoeachStudent.2. TimetheStudentstakingtheWorksheet.(Nomorethan10min.)3. GradetheWorksheetpointingoutthehintsforeachproblem.
Lesson#5Workeachoftheseproblemsasquicklyaspossible.
Estimate#10toplusorminus10%.
AnswerstoLesson#5
1) Add2010+201+20=22312) Divideby5isthesameasmultiplyby2anddivideby10
a. 20.1x
€
210=4.02
3) SwitchnumbersWriteNegative,Subtracta. ‐358+112
4)
€
815
x9
10=
45
x35
=1225
5) Memorizefractionstopercentsto1/16
a.
€
138
÷1
16
b.
€
118
x161
=111
x21
= 22
6) Divideby9;adddigitsa. 2+1+3+4+7+1+1=19b. 1+9=10c. 1+0=1
7) OrderofOperationsa. 4÷(5+6‐7)x8b. 4÷(4)x8c. 1x8=8
8) ChangetoFractions
a.
€
4415
+7615
=12015
= 8
9) Memorizefractionstopercentsto1/16i. .0625(7)=.43.75%
10) Estimationa. Roundtothenearest100b. 7800‐900+100=7000
SpongeActivity#6forMathematicalPropertiesforUILNumberSense
LessonGoal:Studentswilllearntousethecommutative,associative,anddistributivepropertiesindifferentwaystosolvemathproblemsusingNumberSenseTests.Time:NoMorethan15MinutesCourse:AlgebraIorAlgebraIITEKSAddressed:AlgebraI(3)(A)(B)Foundationsforfunctions.Thestudentunderstandshowalgebracanbeusedtoexpressgeneralizationsandrecognizesandusesthepowerofsymbolstorepresentsituations.Thestudentisexpectedto:usesymbolstorepresentunknownsandvariables;andlookforpatternsandrepresentgeneralizationsalgebraically.AlgebraII(2)(A)Foundationsforfunctions.Thestudentunderstandstheimportanceoftheskillsrequiredtomanipulatesymbolsinordertosolveproblemsandusesthenecessaryalgebraicskillsrequiredtosimplifyalgebraicexpressionsandsolveequationsandinequalitiesinproblemsituations.Thestudentisexpectedto:usetoolsincludingfactoringandpropertiesofexponentstosimplifyexpressionsandtotransformandsolveequations.MaterialsNeeded:
1. Pencil.2. Practiceproblems(attached)3. AnswerKey(attached)
Procedures:
ThisActivity(Includinggradingtime)shouldtakenolongerthan15minuteseitheratthebeginningorendoftheclassperiod.Ifthisworkistobegraded,giveextrapointsforspeed.
1. GivetheProblemWorksheettoeachStudent.2. TimetheStudentstakingtheWorksheet.(Nomorethan10min.)3. GradetheWorksheetpointingoutthehintsforeachproblem.
Lesson#6Workeachoftheseproblemsasquicklyaspossible.
Estimate#10toplusorminus10%.
AnswerstoLesson#6
1) Add2010‐424+508a. 508‐424=84b. 2010+84=2094
2)
€
825
x1516
=15
x32
=3
10
3) Dividingby2.5isthesameasmultiplyingby
€
410
a. 201x
€
410=
€
80410
= 80.40
4)
€
2 13
+ 315
= 2 515
+ 3 315
= 5 815
5) 48%=
€
48100
=1225
6) Divideby9;adddigitsa. 2+0+1+0=3
7) 1‐1÷2+3x5
a. 1‐
€
12+3x5
b.
€
12+3x5
c.
€
12+15
d. 15
€
12
8) Memorizesquaresto35a. 312=961
9) UsebackwardsFOIL(RighttoLeft)a. 7x2=14
i. (Write4Carry1)b. 7x7+2x2+1=49+4+1=54
i. (Write4Carry5)c. 2x7+5=19
i. (Write19)10) Estimation
a. Roundtothenearest1000b. 11000+2000=13000
SpongeActivity#7forMathematicalPropertiesforUILNumberSense
LessonGoal:Studentswilllearntousethecommutative,associative,anddistributivepropertiesindifferentwaystosolvemathproblemsusingNumberSenseTests.Time:NoMorethan15MinutesCourse:AlgebraITEKSAddressed:(4)(A)(B)Foundationsforfunctions.Thestudentunderstandstheimportanceoftheskillsrequiredtomanipulatesymbolsinordertosolveproblemsandusesthenecessaryalgebraicskillsrequiredtosimplifyalgebraicexpressionsandsolveequationsandinequalitiesinproblemsituations.Thestudentisexpectedtofindspecificfunctionvalues,simplifypolynomialexpressions,transformandsolveequations,andfactorasnecessaryinproblemsituations;usethecommutative,associative,anddistributivepropertiestosimplifyalgebraicexpressions.MaterialsNeeded:
1. Pencil.2. Practiceproblems(attached)3. AnswerKey(attached)
Procedures:
ThisActivity(Includinggradingtime)shouldtakenolongerthan15minuteseitheratthebeginningorendoftheclassperiod.Ifthisworkistobegraded,giveextrapointsforspeed.
1. GivetheProblemWorksheettoeachStudent.2. TimetheStudentstakingtheWorksheet.(Nomorethan10min.)3. GradetheWorksheetpointingoutthehintsforeachproblem.
Lesson#7Workeachoftheseproblemsasquicklyaspossible.
Estimate#10toplusorminus10%.
AnswerstoLesson#7
1) Add38+459+6712=72092) Leave,Change,Flip
a.
€
2435
x74
=65
3) Teen’sRule245x16a. 6x5=30
i. Write0Carry3b. 6x4+5+3=32
i. Write2Carry3c. 6x2+4+3=19
i. Write9Carry1d. 6x0+2+1=3
4) Switchandwritenegativesigna. ‐123.4+7.65=‐115.75
5)
€
14
x34
x81
=32
6) 72%=
€
72100
=1825
7) OrderofOperationsa. 10‐8x6÷4+2b. 10‐12+2=0
8)
€
351.5
+641.5
=703
+128
3=
1983
= 66
9)
€
−5 16
+ 315
= −4 3530
+ 3 630
= −12930
10) Estimationa. Roundsmallnumberstothenearest10b. ‐260=80=340c. Roundtonearest100d. 1300‐300=1000
SpongeActivity#8forMathematicalPropertiesforUILNumberSense
LessonGoal:Studentswilllearntousethecommutative,associative,anddistributivepropertiesindifferentwaystosolvemathproblemsusingNumberSenseTests.Time:NoMorethan15MinutesCourse:AlgebraIITEKSAddressed:AlgebraII(2)(A)Foundationsforfunctions.Thestudentunderstandstheimportanceoftheskillsrequiredtomanipulatesymbolsinordertosolveproblemsandusesthenecessaryalgebraicskillsrequiredtosimplifyalgebraicexpressionsandsolveequationsandinequalitiesinproblemsituations.Thestudentisexpectedto:usetoolsincludingfactoringandpropertiesofexponentstosimplifyexpressionsandtotransformandsolveequations.MaterialsNeeded:
1. Pencil.2. Practiceproblems(attached)3. AnswerKey(attached)
Procedures:
ThisActivity(Includinggradingtime)shouldtakenolongerthan15minuteseitheratthebeginningorendoftheclassperiod.Ifthisworkistobegraded,giveextrapointsforspeed.
1. GivetheProblemWorksheettoeachStudent.2. TimetheStudentstakingtheWorksheet.(Nomorethan10min.)3. GradetheWorksheetpointingoutthehintsforeachproblem.
Lesson#8Workeachoftheseproblemsasquicklyaspossible.
Estimate#20toplusorminus10%.
AnswerstoLesson#8
11) Memorizesquaresto35a. 122=144
12) Memorizecubesto20a. 123=1728
13)
€
2460
=4
10= 40%
14) UsebackwardsFOIL32x23(RighttoLeft)a. 2x3=6
i. Write6b. 3x3+2x2=13
i. (Write3Carry1)c. 3x2+1=7
i. (Write7)15) SumofOddnaturalnumbers
a. Add1tothelastnumberi. 23+1=24
b. Divideby2i. 24/2=12
c. Squarei. 122=144
16) CrossMultiplya. 16x11=176b. 13x13=169
c. 176isbiggerso
€
1113isbigger
17) Divideby9;adddigitsa. 2+0+1+0=3
18) MCDLXIVa. 1000+500‐100+50+10+5‐1=1464
19)
€
14
x2000 = 500lbs
a. 500x16=800020) Estimation
a. Roundnumberstothenearest10b. 240x150c. Halfof240is120d. 240+120=360e. 360x100=36000
SpongeActivity#9forMathematicalPropertiesforUILNumberSense
LessonGoal:Studentswilllearntousethecommutative,associative,anddistributivepropertiesindifferentwaystosolvemathproblemsusingNumberSenseTests.Time:NoMorethan15MinutesCourse:AlgebraI&AlgebraIITEKSAddressed:AlgebraI(3)(A)(B)Foundationsforfunctions.Thestudentunderstandshowalgebracanbeusedtoexpressgeneralizationsandrecognizesandusesthepowerofsymbolstorepresentsituations.Thestudentisexpectedto:usesymbolstorepresentunknownsandvariables;andlookforpatternsandrepresentgeneralizationsalgebraically.AlgebraII(2)(A)Foundationsforfunctions.Thestudentunderstandstheimportanceoftheskillsrequiredtomanipulatesymbolsinordertosolveproblemsandusesthenecessaryalgebraicskillsrequiredtosimplifyalgebraicexpressionsandsolveequationsandinequalitiesinproblemsituations.Thestudentisexpectedto:usetoolsincludingfactoringandpropertiesofexponentstosimplifyexpressionsandtotransformandsolveequations.MaterialsNeeded:
1. Pencil.2. Practiceproblems(attached)3. AnswerKey(attached)
Procedures:
ThisActivity(Includinggradingtime)shouldtakenolongerthan15minuteseitheratthebeginningorendoftheclassperiod.Ifthisworkistobegraded,giveextrapointsforspeed.
1. GivetheProblemWorksheettoeachStudent.2. TimetheStudentstakingtheWorksheet.(Nomorethan10min.)3. GradetheWorksheetpointingoutthehintsforeachproblem.
Lesson#9Workeachoftheseproblemsasquicklyaspossible.
Estimate#10toplusorminus10%.
AnswerstoLesson#9
1) Collectthepositiveintegersa. 3141‐2718+1618b. 4759‐2718=2041
2) Leave,Change,Flip
a.
€
35x2521
=11x57
=57
3) Multiply4x15=60a. Writeanswertothenearestpenny.
4)
€
2225
x44
=88
100= 88%
5) ChangeDecimaltofraction
a. .08333…=
€
112
b.
€
76x
121
= 7x2 =14
6) ChangeMixedNumbertoDecimala. 3.4+2.3‐1=4.7
7) Changetofractions
a.
€
7725
+12325
=20025
= 8
8) UsebackwardsFOIL(RighttoLeft)a. 4x5=20
i. (Write0Carry2)b. 5x5+4x4+1=25+16+2=43
i. (Write3Carry4)c. 5x4+4=24
i. (Write24)9) OrderofOperations
a. 8÷4‐2+4x8b. 2‐2+32=32
10) Estimationa. Roundtothenearest100b. 2500+3600+1000=7100
SpongeActivity#10forMathematicalPropertiesforUILNumberSense
LessonGoal:Studentswilllearntousethecommutative,associative,anddistributivepropertiesindifferentwaystosolvemathproblemsusingNumberSenseTests.Time:NoMorethan15MinutesCourse:AlgebraI,Geometry,AlgebraIITEKSAddressed:Geometry(1)(A)Geometricstructure.Thestudentunderstandsthestructureof,andrelationshipswithin,anaxiomaticsystem.Thestudentisexpectedtodevelopanawarenessofthestructureofamathematicalsystem,connectingdefinitions,postulates,logicalreasoning,andtheorems.AlgebraI(3)(A)(B)(4)(B)Foundationsforfunctions.Thestudentunderstandshowalgebracanbeusedtoexpressgeneralizationsandrecognizesandusesthepowerofsymbolstorepresentsituations.Thestudentisexpectedto:usesymbolstorepresentunknownsandvariables;andlookforpatternsandrepresentgeneralizationsalgebraically.Thestudentunderstandstheimportanceoftheskillsrequiredtomanipulatesymbolsinordertosolveproblemsandusesthenecessaryalgebraicskillsrequiredtosimplifyalgebraicexpressionsandsolveequationsandinequalitiesinproblemsituations.Thestudentisexpectedtousethecommutative,associative,anddistributivepropertiestosimplifyalgebraicexpressions.AlgebraII(2)(A)(B)Foundationsforfunctions.Thestudentunderstandstheimportanceoftheskillsrequiredtomanipulatesymbolsinordertosolveproblemsandusesthenecessaryalgebraicskillsrequiredtosimplifyalgebraicexpressionsandsolveequationsandinequalitiesinproblemsituations.Thestudentisexpectedtousetoolsincludingfactoringandpropertiesofexponentstosimplifyexpressionsandtotransformandsolveequations;andcomplexnumberstodescribethesolutionsofquadraticequations.MaterialsNeeded:
1. Pencil.2. Practiceproblems(attached)3. AnswerKey(attached)
Procedures:
ThisActivity(Includinggradingtime)shouldtakenolongerthan15minuteseitheratthebeginningorendoftheclassperiod.Ifthisworkistobegraded,giveextrapointsforspeed.
1. GivetheProblemWorksheettoeachStudent.2. TimetheStudentstakingtheWorksheet.(Nomorethan10min.)3. GradetheWorksheetpointingoutthehintsforeachproblem.
Lesson#10Workeachoftheseproblemsasquicklyaspossible.Estimate#20toplusorminus10%.
AnswerstoLesson#10
11) Memorizesquaresto35a. 142=196
12) Memorizecubesto20a. 143=2744
13) ForLCMfirstfindtheGCDa. 3x16=48b. 3x19=57
i. GCD=3c. 48(57)÷3=912
14) UseRemaindersa. 34/9remainder7b. 56/9remainder2c. 78/9remainder6d. 7x2‐6=8;remainder8
15) 1acre=43,560sqft16) Mode=Most=317) 555x111=6160518) Memorizeprimesto100
a. 31,37b. Primes=2
19) 4.5/6=.7520) Estimation
a. Memorizesquaresto35b. 26x34c. (30‐4)(30+4)d. 900‐16=884