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

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

Warm-up11/05/14

1.

W D

K

H

2. Simplifytheexpressionsbelow

712 =

(56)(312)

DisthemidpointofWHGiven:W=H

Prove:KDW=KDHProve:

Given:

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

1.

W D

K

H

DisthemidpointofWHGiven:W=H

Prove:KDW=KDHProve:

Given:

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

1.

W D

K

H

Given

DefofMidpt

ConverseofIsosConj.

SAS CPCTC

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

CPCTCstandsfor...CorrespondingPartsofCongruentTrianglesareCongruent

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

2. Simplifytheexpressionsbelow

712 =

(56)(312)

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

Lesson

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

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

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

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

Playerhastheadvantage

Casinohastheadvantage

Neitherhastheadvantage

twosmalls big two

smalls bigtwosmalls big

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

obtusetriangles

righttriangles

acutetriangles

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

Lesson

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

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

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

Pythagoras(570~495B.C.)

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

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

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

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

thesumofthesquaresofthetwolegsofarighttriangleisequaltothesquareofthehypotenuse

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

hypotenuselegs

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

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

ab

c

PythagoreanTheorem

a2+b2=c2

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

ab

c

PythagoreanTheorem

a2+b2=c2

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

ab

c

PythagoreanTheorem

a2+b2=c2

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

ab

c

PythagoreanTheorem

a2+b2=c2

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

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

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

1x193

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

1x1053x355x217x15

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

1x482x243x164x126x8

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

1x482x243x164x126x8

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

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

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

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