Take out your notebook for today's warm - up! EXT#1 ws ...washburn.mpls.k12.mn.us/uploads/wednesday_nov_5_slides_from_cl… · EXT#1 - ws Slope and Solving Systems is due TODAY QUIZ

Iwillbeafterschoolformake-uponMon,ThursEXT#1-wsSlopeandSolvingSystemsisdueTODAY

QUIZFridayonCongruentTriangles,ProofswithCPCTC,andPropertiesofSquareRoots.

Takeoutyournotebookfortoday'swarm-up!Wednesday,Nov5,2014

LT1.1A-Icandefine,sketch,draw,andcorrectlylabelbasicgeometricfiguresandtheirparts.LT1.2A-Icandefine,sketch,draw,andcorrectlylabelanglesandtheirparts.

Didyougetyournotebookcheckedlastweek?

Thesoundyou'rehearingistheMakeUpShipleavingthedock.....

IcanusesquarerootstosolveequationsIcansimplifysquareroots

EXT#1wsSimplifySquareRootsPiz204isdueonFridayNov7

Richard Sudo Wednesday, November 5, 2014 12:41:51 PM CT 00:19:e3:4a:d2:21

Warm-up


Warm-up11/05/14

1.

W D

K

H

2. Simplifytheexpressionsbelow

712 =

(56)(312)

DisthemidpointofWHGiven:W=H

Prove:KDW=KDHProve:

Given:


1.

W D

K

H

DisthemidpointofWHGiven:W=H

Prove:KDW=KDHProve:

Given:


1.

W D

K

H

Given

DefofMidpt

ConverseofIsosConj.

SAS CPCTC


CPCTCstandsfor...CorrespondingPartsofCongruentTrianglesareCongruent


2. Simplifytheexpressionsbelow

712 =

(56)(312)


Lesson



a2+b2<c2a2+b2=c2 a2+b2>c2


Playerhastheadvantage

Casinohastheadvantage

Neitherhastheadvantage

twosmalls big two

smalls bigtwosmalls big


obtusetriangles

righttriangles

acutetriangles


Lesson




Pythagoras(570~495B.C.)

Pythagorasmadeinfluentialcontributionstophilosophyandreligiousteachinginthelate6thcenturyBC.Heisoftenreveredasagreatmathematician,mysticandscientist,butheisbestknownforthePythagoreantheoremwhichbearshisname.However,becauselegendandobfuscationcloudhisworkevenmorethanthatoftheotherpre-Socraticphilosophers,onecangiveonlyatentativeaccountofhisteachings,andsomehavequestionedwhetherhecontributedmuchtomathematicsandnaturalphilosophy.ManyoftheaccomplishmentscreditedtoPythagorasmayactuallyhavebeenaccomplishmentsofhiscolleaguesandsuccessors.




thesumofthesquaresofthetwolegsofarighttriangleisequaltothesquareofthehypotenuse

the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse

hypotenuselegs



ab

c

PythagoreanTheorem

a2+b2=c2


ab

c

PythagoreanTheorem

a2+b2=c2


ab

c

PythagoreanTheorem

a2+b2=c2


ab

c

PythagoreanTheorem

a2+b2=c2




1x193


1x1053x355x217x15


1x482x243x164x126x8


1x482x243x164x126x8





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Take out your notebook for today's warm - up! EXT#1 ws ...washburn.mpls.k12.mn.us/uploads/wednesday_nov_5_slides_from_cl… · EXT#1 - ws Slope and Solving Systems is due TODAY QUIZ