GeometryHonorsSummerHomework
Name______________________________________________________
DearFutureGeometryStudent,
IhopeyouareexcitedforyourupcomingyearinGeometry!Geometryallowsustomeasuretheworldaroundusinaverypreciseandaccuratemanner.Itallowsustoformvalidargumentswithdeductivereasoning,andfindcounterexamples.Thisbranchofmathematicsisfoundationalforallotherareasofmath.YourlevelofsuccessinGeometrywilldirectlycorrelatetohowsuccessfulyouwillbeinyourfuturemathexperiences.Asyouprobablyknow,yourhighschoolmathematicsclassesarecumulative.Thismeansthatyouwillneedtoutilizeconceptspreviouslylearnedtobesuccessful.Thepurposebehindthissummerhomeworkpacketistoreacquaintyouwiththenecessaryskillstobesuccessfulinthisyear’smathcourse.
PleasebepreparedtosubmitthisassignmentduringyoursecondGeometryclass.Itwillbegradedforaccuracyaswellascompletion.Workneedstobeshowninaneatandorganizedmanner,anditisperfectlyacceptabletocompletethepacketonseparatesheetsofpaper.Justbesuretostapleanyextrapaperstothepacket.Also,donotrelyonacalculator.ShowALLworkforeachproblemandtakeyourtime.Remember,thiswillbeyourfirstimpressiontoyournewmathteacher,andyouwanttomakesurethatitisapositiveone!Seebelowfordirectionsandhelpfulwebsites.Wehopeyouhaveawonderfulsummer!
Best,
WarehamHighSchoolMathDepartment
StudentswhoareenrolledinBOTHGeometryHonorsandAlgebra2HonorsareexpectedtocompletetheGeometrypacketaswellastheAlgebra2HonorsPacket.
NeedhelpwithyourSummermathpacket???
FeelfreetoemailMrs.Medinaatmmedina@wareham.k12.ma.uswithanyquestionsyoumighthave.Toensurethefastestresponse,pleaseincludeyourname,summerassignmentname,and(ifpossible)apicture
oftheproblemandyouraccompanyingwork.
Directions:
• Beforeansweringanyquestions,readthroughthegivennotesandexamplesforeachtopic.• Thispacketistobesubmittedduringyoursecondgeometryclassperiod.• Allworkmustbeshowninthepacketoronaseparatesheetofpaperstapledtothepacket.• Toavoidapenaltyonyourgrade,finalanswersMUSTBEBOXEDorCIRCLED.
Suggestionsfortimemanagement:Sincethereare7partsofthispacket,complete1partperday(approx.25mineachday).Youcancompletethispacketin7days!
Part1–PlottingPointshttp://www.virtualnerd.com/algebra-1/relations-functions/coordinate-plane/coordinate-plane-graphing/ordered-pair-definition
Part2–SolvingEquationshttps://www.khanacademy.org/math/algebra/one-variable-linear-equations#alg1-one-step-add-sub-equationsExample1:
Example2:
Solve.
Example1:
Example2:
https://www.khanacademy.org/math/algebra/one-variable-linear-equations#alg1-two-steps-equations-intro
17)
18) 19)
20)
21) 22)
612p=
12 185f = - 8 6
5a = -
117y= - 15 21
10m+ =
7 2 54q - = -
Example1:https://www.khanacademy.org/math/algebra/one-variable-linear-equations#alg1-variables-on-both-sides
23) 24) 25)
26) 27) 28)
https://www.khanacademy.org/math/algebra/one-variable-linear-equations#alg1-equations-with-parenthesesExample1:
Example2:
29) 30)
14 11c - = - 3 7 28n + = 2 6 6 10p p+ = -
5 7 8 4c c- = - 8 1 3 19t t+ = - 9 4 5 18n n+ = +
6(3 5) 7 25x x- - = 15( 2) 9 6t t+ + =
31) 32)
Part3–GraphingandSolvingSystemsofEquationshttps://www.khanacademy.org/math/algebra-basics/core-algebra-systems/corealgebra-systems-tutorial/e/graphing_systems_of_equations
33)
34)
2(5 6 ) 16 90m- + + = - 5( 1) 25m- = -
Part4–GraphbyFindingIntercepts–Completetheprocessbelowforeachequationintheproblem.Youshouldhavehttps://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-linesslope/core-algebra-graphing-intercepts/v/x-and-y-intercepts
35)
36)
Part5–SquareRootsandSimplifyingRadicals
https://www.khanacademy.org/math/algebra-basics/core-algebra-foundations/squareroots-for-college/v/simplifying-radicalsSimplifythefollowingradicals.
37)
38) 39) 40)
41)
42) 43) 44)
12 32 75 108
125 60 72 216
Example1:
45)
46) 47) 48)
49)
50) 51) 52)
Example2:
53) 54) 55) 56)
3 8 2 60 4 32 2 150
5 80 8 18 7 32 3 48
6 6! 16 25! 8 12! 5 15!
Part6–WritingLinearEquationsfromaPointandaSlopehttps://www.khanacademy.org/math/algebra/two-var-linear-equations/point-slope/v/point-slope-and-slope-intercept-form-from-two-pointsExample1:
57) Findtheequationofthelinepassingthroughthepoint(2,4)withaslopeof5.
58) Findtheequationofthelinepassingthroughthepoint(4,-1)withaslopeof-3.
59) Findtheequationofthelinepassingthroughthepoint(-4,-5)withaslopeof− !".
Part7–WritingLinearEquationsfromTwoPointsExample1:
60) Determinetheequationofthelinepassingthroughthepoints(0,0)and(2,-6).
61) Determinetheequationofthelinepassingthroughthepoints(2,3)and(5,9).
62) Determinetheequationofthelinepassingthroughthepoints(-6,10)and(-2,-1).