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).