Warning: Undefined property: WP_Post_Type::$post_type in /home4/pbhyenmy/public_html/wp-content/plugins/geometry-enjoy-challenge/inc/stripeController.php on line 32
Games / Resources

Games / Resources

Geogebra: dynamic geometry graphing package

Z-Rox : One dimensional visualization game

Light-Bot: intro to coding game

Nonograms: Japanese Crossword logic (my all-time go to game)

Robert Lang TED talk: origami taken to a high level

Tessellation Creator: tessellate regular polygons

Deadly Rooms of Death: the World’s Greatest Puzzle game (even recommended by the Mathematical Association of America). Beware: if you delve deep into this game it may take over your life for a bit

Isomorphic Building Block Puzzle: Tap on Apps then on each of the pictures . In Dutch, copy and paste the directions into google translate to play the game (perfect add-on lesson to chapter 12)

Geometric Construction Game: Can you construct each picture using only a virtual straightedge and compass?

Euclidea: Another geometric construction game. Good to use even before you do constructions by hand.

Catriona Agg (X / Twitter) : interesting geometry problems

Vi Hart : a crafty math doodler

The Numberphile: a true lover of numbers (and, of course, mathematics)

Miscellaneous Fun!

Attributes

Chapter 1

Interactives and Pictures: 

Various Pictures and media were created using Geogebra software (International GeoGebra Institute; Wolfauerstr 90, 4040 Linz, Austria). Copyright permissions pending.

IMAGES:

Section 1.1

Larry Prescott; http://www.incredibleart.org/lessons/middle/Larry-radial.htm

Department of Museum Guide Programs and the Department of Teacher Resources at The Minneapolis Institute of Arts; http://www.artsmia.org/art-of-asia/resources/teachers-guide-print.cfm

ESCHER (CC by 3.0); http://kdps-y5.wikispaces.com/The+Arts+

Borboleta.org; Morpho menelaus; https://openclipart.org/detail/169649/morpho-menelaus

PierreSelim; Nave of Basilica Saint-Sernin; http://en.wikipedia.org/wiki/Basilica_of_St._Sernin,_Toulouse#/media/File:Nave_of_Basilica_Saint-Sernin_-_2012-08-24.jpg

Photo of Sitting Woman by Picasso (CC BY 2.0); Frank Kovalchek;https://www.flickr.com/photos/72213316@N00/4283500231

“Gisele Bundchen5”;Tiago Chediak; http://commons.wikimedia.org/wiki/File:Gisele_Bundchen5.jpg#

Radial Symmetry Pattern; Craftsmanspace; http://openclipart.org/detail/172404/radial–symmetry-pattern-by-craftsmanspace-172404

Nemo; http://www.pd4pic.com/hand-boy-kid-girl-handstand-kids-cartoon-stand.html

Arvin61r58; Snowflake 9; http://openclipart.org/detail/189610/snowflake-9-by-arvin61r58-189610

St. Loius Cathedral Basilica. Detail of pulpit; http://euler.slu.edu/escher/index.php/File:Stlcb-pm11-4.jpg

MATH & THE ART OF MC ESCHER; http://euler.slu.edu/escher/index.php/Frieze_Patterns

Section 1.2

Dog on Leash (cartoon); gerald_G; https://openclipart.org/detail/8519/dog-on-leash-cartoon

John Tenniel; http://en.wikipedia.org/wiki/Tweedledum_and_Tweedledee

Section 1.4

Transformers Logo and cartoon; Hasbro, Inc.; https://commons.wikimedia.org/wiki/File%3ATransformers_layered_text_logo.png

WORKER; WOMAN POWER; http://openclipart.org/pdf/people/worker/woman_power.svg

Section 1.5

cinemacookie; We Know; http://openclipart.org/detail/191690/dark-brotherhood-by-cinemacookie-191690

Chapter 1 Activity

Celtic-knot-insquare-transp; AnonMoos; https://commons.wikimedia.org/wiki/File:Celtic-knot-insquare.svg

Uruk3000BCE; PHGCOM (2007). Licensed under GFDL via Wikimedia Commons; https://en.wikipedia.org/wiki/Confronted_animals#/media/File:Uruk3000BCE.jpg

Tessellation in Alhambra; gruban; https://commons.wikimedia.org/wiki/File:Tassellatura_alhambra.jpg

Frieze from an Ancient Arab Mosque (1878) – TIMEA; Schmoranz, F., Original source: Ebers, Georg. “Egypt: Descriptive, Historical, and Picturesque.” Volume 1. Cassell & Company, Limited: New York, 1878. p 031.; https://commons.wikimedia.org/wiki/File:Frieze_from_an_Ancient_Arab_Mosque_(1878)_-_TIMEA.jpg

Border (CC BY 2.0) ; mollyjeanpoganski; https://www.flickr.com/photos/62721811@N06/8558508774

Maat; Selanit; https://openclipart.org/detail/4481/maat

Chapter 2

Interactives and Pictures: 

Various Pictures and media were created using Geogebra software (International GeoGebra Institute; Wolfauerstr 90, 4040 Linz, Austria). Copyright permissions pending.

Images  (copied or modified from)

Section 2.1

René Descartes; http://commons.wikimedia.org/wiki/File:PSM_V37_D740_Rene_Descartes.jpg#filelinks

Nils Forsberg After Pierre-Louis Dumesnil the Younger; Dispute of Queen Cristina Vasa and René Descartes; http://commons.wikimedia.org/wiki/File:Dispute_of_Queen_Cristina_Vasa_and_Rene_Descartes.png

An Angry King (Punch Magazine 1854 on Archive.org); bf5man; https://openclipart.org/detail/204466/an-angry-king

TuTOR and Student; Woof; http://openclipart.org/pdf/people/Woof/tutor-and-student.svg

Pinwheel; Frankes; https://openclipart.org/detail/167322/pinwheel

Section 1.2

http://www.wordle.net/show/wrdl/5217478/Common_Core_Algebra” ;  title=”Wordle: Common Core Algebra”><imgsrc=”http://www.wordle.net/thumb/wrdl/5217478/Common_Core_Algebra

Bike rider; steren; http://openclipart.org/detail/4822/bike-rider-by-steren

RxR bike crash; atlbike; https://www.flickr.com/photos/44911668@N05/5963961246/in/photostream/

Toga Illustration-2.svg; 1891 Dictionary of Classical Antiquities; https://commons.wikimedia.org/wiki/File:Toga_Illustration-2.svg

puzzled face; Christophe Dioux; http://commons.wikimedia.org/wiki/File:Puzzled.svg

Section 2.3

Laurent Bechir; Grendel’s and the BirdWorx – The Dodo Bird – Flea Bussy; https://www.flickr.com/photos/45544159@N00/5188699366/in/photostream/

K17 decomposed into 8 2-connected subgraphs; http://math.stackexchange.com/questions/19001/edge-partitioning-a-strongly-connected-17-graph-into-four-4-connected-17-graphs

Smart Rock by flattop341; https://www.flickr.com/photos/flattop341/228342899/in/photostream/

Section 2.4

Card Trick; Johnny_Automatic; https://openclipart.org/detail/1259/card-trick

Sprite; Johnny_Automatic; https://openclipart.org/detail/138571/sprite

Nerd with Glasses; darrenbeck; http://openclipart.org/detail/151627/nerd-with-glasses-by-darrenbeck

Decisions, Decisions; Gerry Dincher; https://www.flickr.com/photos/gerrydincher/8415520966/in/photolist

White Bunny; Onsemeliot; https://openclipart.org/detail/191506/white-bunny-by-onsemeliot-191506

attacking bear; johnny_automatic; drawing of a bear from the Yellowstone Digital Slide file – stated as PD; https://openclipart.org/detail/462/attacking-bear-by-johnny_automatic

WISE OLD MAN: j4p4n; http://openclipart.org/detail/190655/wise-old-man-by-j4p4n-190655

Chapter 3

Section 3.1

Interactives and Pictures: 

Various Pictures and media were created using Geogebra software (International GeoGebra Institute; Wolfauerstr 90, 4040 Linz, Austria). Copyright permissions pending.

Images  (copied or modified from)

Donkey [Pearson Scott Foresman to Wikimedia Commons];  papapishu; https://openclipart.org/detail/34597/donkey

studio_hades; Detective Profile Silhouette on pulp paper; http://openclipart.org/detail/160021/detective-profile-silhouette-on-pulp-paper-by-studio_hades

Rube Goldberg; Professor_Lucifer_Butts.gif; http://commons.wikimedia.org/wiki/File:Professor_Lucifer_Butts.gif

“Rube Goldberg 1928” by New York Evening Journal – Project Gutenberg ebook of What’s in the New York Evening Journal. Licensed under Public domain via Wikimedia Commons – http://commons.wikimedia.org/wiki/File:Rube_Goldberg_1928.png#mediaviewer/File:Rube_Goldberg_1928.png

Koala; syahirHaKimhttp://pixabay.com/en/koala-bear-koala-bear-wild-74908/

johnny_automatic; look it up; http://openclipart.org/detail/1036/look-it-up-by-johnny_automatic

kablam; Party Animal. By pencilsauce.com. Created using Inkscape from inkscape.org; http://openclipart.org/detail/28007/party-animal-by-kablam-28007

Section 3.2

Ryan Lerch; thinkingboy outline; an image from the US government EPA “Sunwise” program. converted from PDF format. the source link is here – http://www.epa.gov/sunwise/doc/poster.pdf; http://openclipart.org/detail/630/thinkingboy-outline-by-ryanlerch

By Pearson Scott Foresman [Public domain], via Wikimedia Commons; http://commons.wikimedia.org/wiki/File%3ATick_(PSF).png

Meditating Buddhist; qubodup; https://openclipart.org/detail/172675/meditating-buddhist

Section 3.3

Belief+Doubt (2012) at the Hirshhorn Museum and Sculpture Garden; BettyLondon; http://commons.wikimedia.org/wiki/File:Belief%2BDoubt_(2012).jpg

Honourable Bertrand Russell; Conquistador; http://en.wikipedia.org/wiki/Bertrand_Russell

58294main_The.Brain.in.Space-page-90-kid-computer; This is clipart converted and broken apart that has been released into the public domain from NASA, a USA government agency. The publication is called “The Brain in Space:”; http://openclipart.org/detail/38347/-by-rejon-38347

Tiggy the talking cat.JPG; Kirk; http://commons.wikimedia.org/wiki/File:Tiggy_the_talking_cat.JPG

Couple_US; Anh Vu; http://commons.wikimedia.org/wiki/File:Couple_us.jpg

Surfer w/o sails; Jon Sullivan (pdphoto.org); http://commons.wikimedia.org/wiki/File:Surfer_2.jpg

Section 3.4

Drills; dominiquechappard; http://openclipart.org/detail/48667/drills-by-cybergedeon

Section 3.5

perceuse; scro2003; http://openclipart.org/detail/191553/perceuse–by-scro2003-191553

Secrtion 3.6

Their little son was awake; Thomas Heath Robinson in Fairy tales from Hans Christian Andersen (Public domain); https://commons.wikimedia.org/wiki/File:Their_little_son_was_awake.jpg

Chapter 4

Interactives and Pictures: 

Various Pictures and media were created using Geogebra software (International GeoGebra Institute; Wolfauerstr 90, 4040 Linz, Austria). Copyright permissions pending.

Images  (copied or modified from)

Section 4.1

Hand with drawing compass; liftarn;traced from http://thegraphicsfairy.com/vintage-clip-art-steampunk-hand-with-drawing-compass/; http://openclipart.org/detail/181646/hand-with-drawing-compass-by-liftarn-181646

Japanese bamboo ruler; comsuella2293; http://openclipart.org/detail/193831/japanese-bamboo-ruler–by-comsuella2293-193831

BigRedSmile; Rule; https://openclipart.org/detail/4530/rule-by-bigredsmile

Keistutis; Ruler 31cm;  https://openclipart.org/detail/192982/ruler-31cm-by-keistutis-192982

Section 4.2

Grunge Circles (2 pictures); dear_theophilus; https://openclipart.org/detail/122689/grunge-circles-by-dear_theophilus

Section 4.3

Scrope Hill Crop Circle; playful-geometer; http://playful-geometer.deviantart.com/art/Scrope-Hill-Crop-Circle-73519964

Chapter 4 Activity

laobc; Oval island scene; https://openclipart.org/detail/65005/oval-island-scene-by-laobc

Chapter 5

Interactives and Pictures: 

Various Pictures and media were created using Geogebra software (International GeoGebra Institute; Wolfauerstr 90, 4040 Linz, Austria). Copyright permissions pending.

IMAGES

Section 5.2

Go to eleven!; J_Alves; https://openclipart.org/detail/95065/go-to-eleven!-by-j_alves

Search for Fingerprints;  jhnri4; https://openclipart.org/detail/85393/search-for-fingerprints-by-jhnri4

Rock On; Dug; https://openclipart.org/detail/28383/rock-on-by-dug

“Dio throwing Horns” by rjforster from Worcester, UK – Heaven And Hell img_7339.jpg. Licensed under Creative Commons Attribution 2.0 via Wikimedia Commons – http://commons.wikimedia.org/wiki/File:Dio_throwing_Horns.jpg#mediaviewer/File:Dio_throwing_Horns.jpg

Architetto — torta; Francesco ‘Architetto’ Rollandin; https://openclipart.org/detail/34855/torta_architetto_frances_01-by-francesco_rollandin

ninja working at desk; hector gomez; https://openclipart.org/detail/151741/ninja-working-at-desk-by-hector-gomez

Section 5.3

sneer; johnny_automatic; The Art of Caricaturing by Mitchell Smith, 1941 Frederick J. Drake & Co. – stated as Public Domain by Archive.org; https://openclipart.org/detail/26657/sneer-by-johnny_automatic

Green Eye;  StymShinji; https://openclipart.org/detail/116539/green-eye-by-stymshinji

glasses; hatalar205; https://openclipart.org/detail/169556/glasses-by-hatalar205

Moustache; ebby; https://openclipart.org/detail/183239/moustache-by-ebby-183239

Hippo mouth.jpg; Bobisbob; http://commons.wikimedia.org/wiki/File:Hippo_mouth.jpg

“Mouth of a hippo”; Janke; http://commons.wikimedia.org/wiki/File:Mouth_of_a_hippo.jpg#

Section 5.4

Rosa | Rose;  Maw; https://openclipart.org/detail/159649/rosa–rose-by-maw

Rain, Light; mi_brami; https://openclipart.org/detail/172572/rain-light-by-mi_brami-172572

raindrops; voyeg3r; https://openclipart.org/detail/59341/raindrops-by-voyeg3r

Cat Yawning; Gerald_G; remixed “Cat’s Meow” by johnny_automatic; https://openclipart.org/detail/40339/cat-yawning-by-gerald_g

Blue gift box wrapped with red ribbon; adam_lowe; https://openclipart.org/detail/23397/blue-gift-box-wrapped-with-red-ribbon-by-adam_lowe

Snowflakes; Arvin61r58; https://openclipart.org/detail/188979/snowflakes-by-arvin61r58-188979

Funny Face; khendraw; https://openclipart.org/detail/26481/funny-face-by-khendraw

Angry Dog; qubodup; https://openclipart.org/detail/172926/angry-dog-by-qubodup-172926

honey bee; johnny_automatic; https://openclipart.org/detail/1523/honey-bee-by-johnny_automatic

Perfect Score; mazeo; https://openclipart.org/detail/63553/perfect-score-by-mazeo

Section 5.5

http://emojipedia.org/pile-of-poo/

Mogwai; Top Secret; https://openclipart.org/detail/183451/top-secret-by-mogwai-183451

gsagri04; Envelope; https://openclipart.org/detail/139543/envelope–by-gsagri04

Chapter 5 Activity

GR8DAN; Bicycle For Our Minds;  https://openclipart.org/detail/172392/bicycle-for-our-minds-by-gr8dan-172392

dominiquechappard; Pfoom; https://openclipart.org/detail/33823/pfoom-by-cybergedeon

Chapter 6

Interactives and Pictures: 

Various Pictures and media were created using Geogebra software (International GeoGebra Institute; Wolfauerstr 90, 4040 Linz, Austria). Copyright permissions pending. 

IMAGES

Section 6.1

Peileppe; Magic Shield; https://openclipart.org/detail/22121/magic-shield-by-peileppe

rhysfaber; sword proper;  https://openclipart.org/detail/2660/sword-proper-by-rhysfaber

Kliponius; Green tick – simple; https://openclipart.org/detail/167549/green-tick—simple-by-kliponius

Anonymous (Originally uploaded by Cedric Bosdonnat for OCAL. 0.18); question cedric bosdonna 01; https://openclipart.org/detail/119881/question-cedric-bosdonna-01-by-anonymous

denschub; Dragon; https://openclipart.org/detail/177391/dragon-by-denschub-177391

PeterM; Ring; https://openclipart.org/detail/3967/ring-by-peterm

kalapahejo; outdoor shoes; https://openclipart.org/detail/194752/outdoor-shoes-by-kalapahejo-194752

spacefem; Winged foot; https://openclipart.org/detail/171035/winged-foot-by-spacefem-171035

Merlin2525; Phoenix Bird 2; https://openclipart.org/detail/117007/phoenix-bird-2-by-merlin2525

Honoré Daumier; Don Quixote and Sancho Panza; published in the US before 1923 and public domain in the US.; http://commons.wikimedia.org/wiki/File:Honore-Daumier-Don-Quixote.jpg

raseone; Raseone Music Notes; https://openclipart.org/detail/202399/raseone-music-notes-by-raseone-202399

Section 6.2

Magirly; Drawn by Marie von Olfers, Malfibel, 1882; http://de.wikipedia.org/wiki/Marie_von_Olfers_school; Marie von Olfers Malfibel – Drawing School 16; https://openclipart.org/detail/182410/marie-von-olfers-malfibel—drawing-school-16-by-Magirly-182410

Section 6.3

Optical-illusion-checkerboard-bw.svg;  AnonMoos; http://commons.wikimedia.org/wiki/File:Optical-illusion-checkerboard-bw.svg

Hallween Tumble 2012 Scary Clown Face.JPG; Infrogmation of New Orleans; http://commons.wikimedia.org/wiki/File:Hallween_Tumble_2012_Scary_Clown_Face.JPG

Chapter 7

Interactives and Pictures: 

Various Pictures and media were created using Geogebra software (International GeoGebra Institute; Wolfauerstr 90, 4040 Linz, Austria). Copyright permissions pending.

IMAGES

Section 7.1

Ballet_dancer_symbol.jpg (extracted from File:017 ‘Ballerina’ 18×24 oil on linen.jpg); shakko; http://commons.wikimedia.org/wiki/File:Ballet_dancer_symbol.jpg

Korean Stop Sign; j4p4n; https://openclipart.org/detail/46951/korean-stop-sign-by-j4p4n

Indecisive silhouette.svg;  tulvur;  https://openclipart.org/detail/171299/indecisive-silhouette.svg-by-tulvur-171299

Section 7.2

Fitness; bedpanner; https://openclipart.org/detail/176552/fitness-by-bedpanner-176552

Section 7.3

bodybuilder; frankes; https://openclipart.org/detail/192011/bodybuilder-by-frankes-192011; Danielclark; https://openclipart.org/detail/183398/3c-by-danielclark-183398

Female or Male Unisex Geek or Nerd Light Skin; qubodup; https://openclipart.org/detail/196162/female-or-male-unisex-geek-or-nerd-light-skin-by-qubodup-196162

Wikibully.jpg (Modified from Stop_bullying_Serbia_23.02.2008.jpg by ClaudiusGothicus);  TheCuriousGnome; http://commons.wikimedia.org/wiki/File:Wikibully.jpg

Section 7.4

The Little Engine That Could;  Retold by Watty Piper; Pictures by Lois Lensky; 1930;  http://www.printmag.com/obsessions/watty-pipers-1930-the-little-engine-that-could/

Section 7.6

Human-evolution-man.png; José-manuel Benitos (Own work) via Wikimedia Commons; http://commons.wikimedia.org/wiki/File%3AHuman-evolution-man.png

Chapter 7 Activity

File:Ženíšek.portreto.de.Descartes.jpg; František Ženíšek ; http://eo.wikipedia.org/wiki/Dosiero:%C5%BDen%C3%AD%C5%A1ek.portreto.de.Descartes.jpg

horse head; johnny_automatic; AN OLD WOLF’S FAVOURITES Animals I have Known BY SIR ROBERT BADEN-POWELL, BT. 1922;https://openclipart.org/detail/19258/horse-head-by-johnny_automatic-19258

File:Folium of Descartes.svg;  Zorgit; http://commons.wikimedia.org/wiki/File:Folium_of_Descartes.svg

workers of the world unite; worker; https://openclipart.org/detail/152653/workers-unite-by-worker

Chapter 8

Interactives and Pictures: 

Various Pictures and media were created using Geogebra software (International GeoGebra Institute; Wolfauerstr 90, 4040 Linz, Austria). Copyright permissions pending. 

IMAGES

Section 8.1

Mushroom.one; roshellin; https://openclipart.org/detail/167238/mushroom.one-by-roshellin

Jumping Pixel Guy; qubodup; https://openclipart.org/detail/204127/jumping-pixel-guy-by-qubodup-204127

Platformer Game; qubodup; https://openclipart.org/detail/204135/platformer-game-by-qubodup-204135

Uses many different other people’s works (all cc0/pd): 

https://openclipart.org/detail/204127/jumping-pixel-guy-by-qubodup-204127

https://openclipart.org/detail/204128/jumping-green-pants-guy-by-qubodup-204128

https://openclipart.org/detail/204130/jumping-girl-by-qubodup-204130

http://opengameart.org/content/platformer-tiles-2#comment-32575

http://opengameart.org/content/platformer-art-extended-tilesets

old mario; PeterBrough; https://openclipart.org/detail/84691/old-mario-by-peterbrough

A green cartoon pipe; purzen; https://openclipart.org/detail/28804/a-green-cartoon-pipe-by-purzen

bullet bill; dodom01; https://openclipart.org/detail/22227/bullet-bill-by-dodom01-22227

Section 8.2

Pantograph animation.gif; AlphaZeta; http://commons.wikimedia.org/wiki/File:Pantograph_animation.gif

Cartoon Car; cyberscooty; https://openclipart.org/detail/188903/cartoon-car-by-cyberscooty-188903

Section 8.3

Stonehenge Closeup.jpg; Daveahern; http://en.wikipedia.org/wiki/File:Stonehenge_Closeup.jpg

tree of life with pink ribbons and shadow; bobby520; https://openclipart.org/detail/172474/tree-of-life-with-pink-ribbons-and-shadow-by-bobby520-172474

Assertive guy by Rones. Posterized; rones; https://openclipart.org/detail/168100/assertive-guy-by-rones.-posterized-by-rones

By Noclip at en.wikipedia [Public domain], from Wikimedia Commons; http://commons.wikimedia.org/wiki/File:Outer_Metro_system_map_to_scale.png

Section 8.4

Beaded Fish Bait; JicJac; https://openclipart.org/detail/192799/beaded-fish-bait-by-jicjac-192799

Chapter 9

Interactives and Pictures: 

Various Pictures and media were created using Geogebra software (International GeoGebra Institute; Wolfauerstr 90, 4040 Linz, Austria). Copyright permissions pending.

IMAGES

Section 9.2

Pink Fireworks; eady; https://openclipart.org/detail/104509/pink-fireworks-by-eady

Green Fireworks; Eady;  https://openclipart.org/detail/104503/green-fireworks-by-eady

Blue Fireworks; Eady;  https://openclipart.org/detail/104497/blue-fireworks-by-eady

Party 3;  cyberscooty;  https://openclipart.org/detail/171361/party-3-by-cyberscooty-171361

Balloons; needcoffee; https://openclipart.org/detail/18791/balloons-by-needcoffee

Architetto — ghirlande festa; francesco_rollandin; https://openclipart.org/detail/30601/ghirlande_festa-by-francesco_rollandin

Extraterrestre;  deiby_ybied;  https://openclipart.org/detail/178967/extraterrestre-by-deiby_ybied-178967

House 3; Machovka; https://openclipart.org/detail/2622/house-3-by-machovka

tomato plant; johnny_automatic; https://openclipart.org/detail/26156/tomato-plant-by-johnny_automatic

ladder:  johnny_automatic; https://openclipart.org/detail/418/ladder-by-johnny_automatic

Section 9.3

Running Family; Bumble_Ball; Adapted from New House by Sirgazil;  https://openclipart.org/detail/191446/running-family-by-bumble_ball-191446

“Diophantus-II-8-Fermat”. Licensed under Public Domain via Wikimedia Commons; http://commons.wikimedia.org/wiki/File:Diophantus-II-8-Fermat.jpg#mediaviewer/File:Diophantus-II-8-Fermat.jpg

run 1; bipinmobile; https://openclipart.org/detail/183633/run-1-by-bipinmobile-183633

The Avenues (Salt Lake City) map; monsta coty scott – Own work.;  http://en.wikipedia.org/wiki/File:The_Avenues_(Salt_Lake_City)_map.png#mediaviewer/File:The_Avenues_(Salt_Lake_City)_map.png

Section 9.4

House;  egore911;  https://openclipart.org/detail/27086/house-by-egore911

Section 9.5

File:Tattoo-arm.jpg; kgberger (Own work (Own Photography))CC-BY-SA-3.0;  http://commons.wikimedia.org/wiki/File:Tattoo-arm.jpg

Foreign Language Tattoo (7965988208).jpg;  Tony Alter from Newport News, USA (Foreign Language Tattoo  Uploaded by theveravee) ;  http://commons.wikimedia.org/wiki/File:Foreign_Language_Tattoo_(7965988208).jpg

Section 9.5

cartoon head2; doodleguy; https://openclipart.org/detail/128047/cartoon-head2-by-doodleguy

girl on skateboard;  OlKu; https://openclipart.org/detail/168470/girl-on-skateboard-by-olku

Blue Kite;  adam_lowe;  https://openclipart.org/detail/23391/blue-kite-by-adam_lowe

Boy; johnny_automatic; https://openclipart.org/detail/829/boy-by-johnny_automatic

Profile; narrowhouse; https://openclipart.org/detail/109723/profile-by-narrowhouse

Rockaway Line, May 6, 2013; Metropolitan Transportation Authority of the State of New York (Uploaded by tm); http://commons.wikimedia.org/wiki/File:Rockaway_Line,_May_6,_2013._(8745272834).jpg

Buildings; b.gaultier; https://openclipart.org/detail/174118/buildings-by-b.gaultier-174118

Propeller-driven plane; DooFi [Original drawing released into the public domain by Pearson Scott Foresman. http://commons.wikimedia.org/wiki/File:Cloud_seeding_(PSF).jpg ]; https://openclipart.org/detail/27132/propeller-driven-plane-by-doofi

Art Deco Air Terminal; derkommander0916; https://openclipart.org/detail/211542/art-deco-air-terminal-by-derkommander0916-211542

Man on telephone pole working on lines; U.S. National Archives and Records Administration; The National Archives and Records Administration provides images depicting American and global history which are public domain or licensed under a free license.; http://commons.wikimedia.org/wiki/File:Man_on_telephone_pole_working_on_lines_-_NARA_-_285871.jpg

MultiColored Sparkle; newnhamm; https://openclipart.org/detail/27914/multicolored-sparkle-by-newnhamm

Iury; superoak; https://openclipart.org/detail/203560/iury-by-superoak-203560

worker; milovanderlinden; https://openclipart.org/detail/29008/worker-by-milovanderlinden-29008

mount hood dan gerhards 01; Dan Gerhards; https://openclipart.org/detail/118867/mount-hood-dan-gerhards-01-by-anonymous

Alpine Landscape Cliff Face Plat 01a Al1; glitch;

https://openclipart.org/detail/208687/Alpine-Landscape-Cliff-Face-Plat-01a-Al1-by-glitch

Alpine Landscape Cliff Face Bandaid 02c; glitch; https://openclipart.org/detail/208669/Alpine-Landscape-Cliff-Face-Bandaid-02c-by-glitch

Speed boat; mystica; https://openclipart.org/detail/15804/speed-boat-by-mystica

Sea waves; PrinterKiller; https://openclipart.org/detail/159751/sea-waves-by-printerkiller

Standing man; arking; https://openclipart.org/detail/28402/standing-man-by-arking

RPG map symbols: Round Tower with Flag;  nicubunu; https://openclipart.org/detail/11530/rpg-map-symbols:-round-tower-with-flag-by-nicubunu

RPG map symbols: Gate; nicubunu; https://openclipart.org/detail/11461/rpg-map-symbols:-gate-by-nicubunu

Knight;  tzunghaor; https://openclipart.org/detail/133477/knight-by-tzunghaor

Grass; dear_theophilus; https://openclipart.org/detail/122113/grass-by-dear_theophilus

Law of Sines

ScienceImage 7007 Plague locusts on the move.jpg; CSIRO; [CC BY 3.0 , via Wikimedia Commons]; http://creativecommons.org/licenses/by/3.0)]

Chapter 10

Interactives and Pictures: 

Various Pictures and media were created using Geogebra software (International GeoGebra Institute; Wolfauerstr 90, 4040 Linz, Austria). Copyright permissions pending. 

IMAGES

Section 10.1

turtle;  johnny_automatic; https://openclipart.org/detail/1024/turtle-by-johnny_automatic

Section 10.3

Compass; dominiquechappard; https://openclipart.org/detail/47005/compass-by-cybergedeon

Eyes; andy; https://openclipart.org/detail/25324/Eyes-by-Andy

Anime eyes; adam_lowe; https://openclipart.org/detail/23388/anime-eyes-by-adam_lowe

Blood; scro2003; https://openclipart.org/detail/192064/blood-by-scro2003-192064

Section 10.4

Eric Gjerde’s Pinwheel Tessellation; Jorge Jaramillo [photo]; http://commons.wikimedia.org/wiki/File:Eric_Gjerde%27s_Pinwheel_Tessellation_(front).jpg

7.symmetry.tessellation.png; 爪丹了; http://upload.wikimedia.org/wikipedia/commons/thumb/2/28/7.symmetry.tessellation/1000px-7.symmetry.tessellation.png

Ceramic Tile Tessellations in Marrakech; Ian Alexander; http://commons.wikimedia.org/wiki/File:Ceramic_Tile_Tessellations_in_Marrakech.jpg

Chapter 11

Interactives and Pictures: 

Various Pictures and media were created using Geogebra software (International GeoGebra Institute; Wolfauerstr 90, 4040 Linz, Austria). Copyright permissions pending. 

IMAGES

Colorful Circle; Siddymcbill; https://openclipart.org/detail/191320/colorful-circle-by-siddymcbill-191320

Section 11.1

Bersaglio freccette; scigola; https://openclipart.org/detail/177835/bersaglio-freccette-by-scigola-177835

Ant; aurium; https://openclipart.org/detail/1581/ant-by-aurium

Section 11.2

Penny Farthing Bicycle; StudioFibonacci; https://openclipart.org/detail/97681/penny-farthing-bicycle-by-studiofibonacci

Section 11.3

“Buffalo buffalo WikiWorld”; Greg Williams;https://en.wikipedia.org/wiki/Buffalo_buffalo_Buffalo_buffalo_buffalo_buffalo_Buffalo_buffalo

professeur / teacher; lmproulx; https://openclipart.org/detail/123259/professeur–teacher-by-lmproulx

chrono; technoargia;https://openclipart.org/detail/162/chrono-by-technoargia

Section 11.5

“Snap the Whip 1872 Winslow Homer”; Winslow Homer, Metropolitan Museum of Art, online collection. Licensed under Public Domain via Wikimedia Commons; http://upload.wikimedia.org/wikipedia/commons/b/be/Snap_the_Whip_1872_Winslow_Homer.jpg

Section 11.6

dumbbell; Eggib; https://openclipart.org/detail/214548/Dumbbell

passenger train; AMProSoftDesign; https://openclipart.org/detail/173934/passenger%20train

gasman; Keistutis; https://openclipart.org/detail/169147/GasMan

grandpa with robber; pnx; https://openclipart.org/detail/202726/Grandpa%20with%20robber

Architetto — striscia agnellini; francesco_rollandin; https://openclipart.org/detail/34645/Architetto%20–%20striscia%20agnellini

Blind woman; Moini; https://openclipart.org/detail/154723/Blind%20woman

Chapter 12

Interactives and Pictures: 

Various Pictures and media were created using Geogebra software (International GeoGebra Institute; Wolfauerstr 90, 4040 Linz, Austria). Copyright permissions pending. 

IMAGES

Section 12.1

American Football Field; Changtaiyeh~commonswiki; http://commons.wikimedia.org/wiki/File:AmFBfield.png

football pitch; Anonymous; https://openclipart.org/detail/12769/football-pitch

Frog dissection, 6.JPG; Kirill Tsukanov; http://commons.wikimedia.org/wiki/File:Frog_dissection,_6.JPG

Section 12.2

Kite; schoolfreeware; https://openclipart.org/detail/19648/Kite

Garden Sign Lettuce;  Gerald_G; https://openclipart.org/detail/61957/Garden%20Sign%20Lettuce

Section 12.3

Area 51; Gisela Giardino; http://commons.wikimedia.org/wiki/File:Gisela_Giardino_-_Area_51_(by-sa).jpg

Question Girl; scout; https://openclipart.org/detail/196174/Question%20Girl

Section 12.4

Ghost; mbtwms; https://openclipart.org/detail/19717/ghost

JOKER – Heath Ledger; Matt Park; http://matt0917.cgsociety.org/art/maya-mental-ray-zbrush-joker-heath-ledger-3d-738412

Folding Dining Table Set Stowed; http://vankalai.com/wood-patio-dining-table/folding-dining-table-set/

Section 12.5

tomato, pomidoras, food; Keistutis; https://openclipart.org/detail/179981/tomato-pomidoras-food

Plato; Squashed Philosophers; http://sqapo.com/plato.htm

Brain activity – Métacognition; benoitpetit; https://openclipart.org/detail/193152/brain-activity-metacognition

Basic Toilet:  j4p4n; https://openclipart.org/detail/195003/basic-toilet

Chapter 13

Interactives and Pictures: 

Various Pictures and media were created using Geogebra software (International GeoGebra Institute; Wolfauerstr 90, 4040 Linz, Austria). Copyright permissions pending. 

IMAGES

Section 13.1

Airplane; CC Public Domain; Free for commercial use ; No attribution required ;  https://pixabay.com/en/airplane-travel-plane-flight-312079/

Falling;  CC Public Domain; Free for commercial use ; No attribution required ; https://pixabay.com/en/falling-height-warning-danger-98715/

https://pixabay.com/en/artist-painter-painting-729846/ ; CC0 Public Domain ; Free for commercial use  ; No attribution required

https://pixabay.com/static/uploads/photo/2013/07/12/19/24/power-line-154729_960_720.png

https://pixabay.com/en/terrain-grass-green-field-nature-575538/ ; CC0 Public Domain ; Free for commercial use  ; No attribution required

https://commons.wikimedia.org/wiki/File%3AGorillapod-with-camera.jpg ; By Evan-Amos (Own work) [Public domain], via Wikimedia Commons

Section 13.2

By Edwin Abbott Abbott (author) – Houghton Library at Harvard University, Public Domain ; https://commons.wikimedia.org/w/index.php?curid=36428689

Section 13.3

Department of Radiology, Uppsala University Hospital ; Uploaded by Mikael Häggström ; https://en.wikipedia.org/wiki/CT_scan#/media/ ; File:Computed_tomography_of_human_brain_-_large.png  CC0.

By Gui le chat – Own work, CC BY-SA 4.0 ; https://commons.wikimedia.org/w/index.php?curid=44567003

Chapter 14

Interactives and Pictures: 

Various Pictures and media were created using Geogebra software (International GeoGebra Institute; Wolfauerstr 90, 4040 Linz, Austria). Copyright permissions pending. 

IMAGES

Section 14.1

Prism; MarcellusWallace (Own work); http://upload.wikimedia.org/wikipedia/commons/a/a8/Prism.png

“EGYPT. – Pyramids and Sphinx of Giza.” Travelers in the Middle East Archive; See page for author [CC BY-SA 2.5 , via Wikimedia Commons; http://commons.wikimedia.org/wiki/File:EGYPT._-_Pyramids_and_Sphinx_of_Giza._(n.d.)_-_front_-_TIMEA.jpg

rubik’s cube random petr 01; originally uploaded by Petri Lummemaki from OCAL 0.18; https://openclipart.org/detail/48715/rubiks-cube-random-petr-01

Section 14.2

Fast Food, Desserts, Ice Cream Cones, Soft Serve; Gerald_G; https://openclipart.org/detail/8331/fast-food-desserts-ice-cream-cones-soft-serve

Ice Cream Cone: purzen; https://openclipart.org/detail/176487/ice-cream-cone

Eiswuerfelform-silikon.jpg; Gmhofmann; http://commons.wikimedia.org/wiki/File:Eiswuerfelform-silikon.jpg

Section 14.3

Speaker; ozant; https://openclipart.org/detail/217118/speaker

Go to Eleven!; J_Alves; https://openclipart.org/detail/95065/go-to-eleven

Books; inky2010; https://openclipart.org/detail/76339/books

Laptop Hard Drive; jhnri4; https://openclipart.org/detail/191545/laptop-hard-drive

Cubes; TristanLuigi; https://openclipart.org/detail/131395/cube-set

Cavalieri’s Principle in Coins; Chiswick Chap; http://commons.wikimedia.org/wiki/File:Cavalieri%27s_Principle_in_Coins.JPG

Wedding Cake Bride and Groom; mags; http://commons.wikimedia.org/wiki/File:Wedding_cake_bride_and_groom_(5421581554).jpg

Section 14.4

Walnut Canyon; barnumbrownie; http://www.atlasobscura.com/places/walnut-canyon

Tarp Shelters; http://www.survivalworld.com/shelters/tarps.html

Section 14.5

Replacing the Outer Leather Shell on a Baseball; imamathguy; http://www.instructables.com/id/Replacing-the-Outer-Leather-Shell-on-a-Baseball/

Phentermine hydrochloride; http://www.drugs.com/imprints/k-28-k-28-13336.html

Orange: ilnanny; https://openclipart.org/detail/170376/orange

Chapter 15

Interactives and Pictures: 

Various Pictures and media were created using Geogebra software (International GeoGebra Institute; Wolfauerstr 90, 4040 Linz, Austria). Copyright permissions pending. 

IMAGES

Section 15.1

Job Interview;  Mazeo; https://openclipart.org/detail/155107/job-interview

Treasure Island Pirate Map; Kinetoons; https://openclipart.org/detail/202730/treasure-island-pirate-map

Lost Island; jogdragoon; https://openclipart.org/detail/170126/lost-island

3d Glasses 3, Merlin2525 (with Gerald G for Fast_Food_Drinks_(FF_Menu)_5, Gnokii for popcorn, abustany movie-reel-by-abustany); https://openclipart.org/image/800px/176792/3D-Glasses-3-by-Merlin2525.png

Math Girl; Scout; https://openclipart.org/detail/191351/math-girl

Boat; newtonguarinof; https://openclipart.org/detail/10441/boat

Section 15.2

Walker Art Gallery 1259; Chemical Engineer (Own work); http://commons.wikimedia.org/wiki/File:Walker_Art_Gallery_1259.JPG

Medieval soldier; utrescu; https://openclipart.org/detail/203522/medieval-soldier

Apple Line Art; jhnri4; https://openclipart.org/detail/116707/apple-line-art

Abstract Art 2; meticulous; https://openclipart.org/detail/117097/abstract-art-2

Section 15.3

opened empty moving truck; loveandread; https://openclipart.org/detail/190779/opened-empty-moving-truck

Section 15.4

Plane; felipecaparelli; https://openclipart.org/detail/13103/plane

O’Hare airport map, Chicago; Peter Fitzgerald; http://commons.wikimedia.org/wiki/File:O%27Hare_airport_map.png

PHL Terminal Map (labeled for reuse); FlightStats, Inc.; http://www.flightstats.com/go/AirportTerminalMaps/airportTerminalMaps.do?airportCode=PHL

Melbourne Airport Terminal Map; Mvjs; http://en.wikipedia.org/wiki/File:Melbourne_Airport_Terminal_Map.png

LAX airport terminal map; PerryPlanet; http://commons.wikimedia.org/wiki/File:LAX_airport_terminal_map.png

Terminal-Configurations; CellarDoor85 (Robert Aehnelt); http://commons.wikimedia.org/wiki/File:Terminal-Configurations.png

Acer saccharum; Bruce Marlin; http://commons.wikimedia.org/wiki/File:Acer_saccharum.jpg

Platonic Solids; YoyoBandalore (Flickr UserID); used with permission; https://www.flickr.com/photos/yoyobandalore/5938836206/

Kane Mountain Fire Lookout Tower; Samweatheritt; http://commons.wikimedia.org/wiki/File:Kane_Mountain_Fire_Lookout_Tower.JPG

“Wallowa-Whitman National Forest map” by U.S. Forest Service – U.S. Forest Service.;  http://en.wikipedia.org/wiki/Wallowa%E2%80%93Whitman_National_Forest

To the Reader

You may or may not agree with this statement, but I hope that reading and solving problems from this book will help you appreciate mathematics just a little bit (or a lot) more.

Why are you reading this text?

Most likely you are reading it because it was assigned to you. Regardless, I’m glad you’re still reading. But the attitude you have when you read will determine the amount of learning you will get. Each day, try to approach with a fresh mind. Rather than the typical “Ugh, math homework”, approach with curiosity, thinking, “Hmm, how can I enhance my education today?”

A comment on the writing: I’m not a great writer. Sure, there was a time when I thought about writing the great American novel (actually the great screenplay), but I know that I ain’t write real good. My grammar is poor, my punctuation is somewhat random, and I don’t edit my work as much as I should. But, I think my writing is very readable. It’s meant to be conversational, like a friend is talking to you about math. How many friends do you have that would talk to you about math? Well, now you have at least one.

Many mathematicians will have issues with my laxness of definitions, notation, and/or inconsistencies. To them, I say, “Hey! You got issues with me? We’ll settle this outside of school. 3 o’clock, bike racks.”

In this casual tone, using some language that you crazy kids might use in conversation, I hope that you are not offended by my occasional irreverence. My attempts at humor can sometimes overshadow thoughtfulness. Mea culpa.

But, hey, enough of my yakkin’. Let’s boogie.

Chapter 1 Review Answers

1.  Center of circle and a circle with the same center with a radius of 10.

2.  20° 

3a. ∠ESG

3b. \overline{SN}

3c. \overline{EI}

3d. \emptyset

3e.  ∠IGN, ∠NGE, ∠EGS, ∠SGI, ∠SGN

4.  50

5.  112.5°

6.   x = 5 ; Proof required.

7.  52°

8.  360°

9.  A line midway between the two parallel lines.

10.  With the compass point at point R,  draw arcs through the points B, A, T.  Then use protractor to measure 90º rotation of each point counter-clockwise.

11.  34

12a.  Vertical line symmetry.

12b.  Oblique line symmetry, Rotational symmetry of 360/7°

13.  54° 

14.  65°

15.  A‘ = (4,0)

16a. P = (-3,2)

16b. 117

17a.  A = (−3,4)

17b.  B = (−3,−4)

17c.  C = (0,4)

18 – 20.  On paper

21a. 6

21b. 72º

22 – 23.  On paper

24.  Changing the order of the transformations makes a difference in 22, but not in 23.   

25.  About 9:32 and 45 seconds

Section 1.5 Answers

Section 1.2 Answers

1a. \overleftrightarrow{RU} , \overleftrightarrow{UX}

1b. \overline{UT}

1c. \overrightarrow{RW}

1d. 6 ; ∠SRU, ∠URY, ∠XRY, ∠SRX, ∠SRY, ∠XRU

2a. A circle with a 5 foot radius including all points within the circle. 

2b. A line.

3.  A rectangle with a semi-circle on both ends.  The height of the rectangle is 16 feet and the width is the length of the dog run.  The semi-circles have a radius of 8 feet.  All points inside the figure are also included.

4.

5.

T is the midpoints between P and S because it is 5 units away from each point.

6. AB = 14

7.

8a. 7.5 minutes

8b. 90 minutes

9a. C

9b. J

9c. E

9d. ∠AJH

9e. \overline{CH}

9f. \overline{AB}

10a. 18.6°

10b. 161.4° 

11a. 90°

11b. 120°

11c. 45°

11d. 130°

11e. 126°

12.  157.5

13a.  A ray that splits the angle in half (angle bisector).

13b.  Two parallel lines 3 cm above and below the given line.

14.

15a. 37.5%

15b. 25%

Chapter 2 Review Answers

1a.  (9, −6)

1b. \sqrt{13}

1c. 3\sqrt{13}

2.  (10, 5)   

3.  k = - \frac{4}{3}

4.  (−4, −9)

5a.  (2, −2)

5b.  (−3, −9)

5c.  (−8, 0)

5d.  (6, −18)

5e.  (−9, −5)

5f.  (0, −39)

5g.  (2, −8)

6.  \left( \frac{5}{2} , 2 \right)

7.  y = -\frac{7}{2}x + 7

8.  y + 7 = \frac{5}{3}(x \; - \; 15)

9.  y \; - \; 3 = \frac{5}{14}(x \; - \; 10) \quad \text{or} \quad y + 2 = \frac{5}{14}(x + 5) 

10.  \sqrt{221}

11.  y − 3 = ½(x − 10)

12.  y \; - \; 13 = \frac{19}{5}(x \; - \; 5)

13.  y \; - \; 1 = \frac{5}{3}(x + 2)

14.  Z’ = (−3, −8) , I’ = (5, −3) , P’ = (0, 0)

15a. y = \frac{2}{3}(x + 4)

15b.  A’ = (−2, 0) , B’ = (0, 6) , C’ = (4, 0)

15c. y = \frac{2}{3}(x + 2)

15d.  Altitudes are parallel

16.  (5, −4)

17.  y − 3 = −2(x − 2)

18.  k = - \frac{36}{5}

19.   y + 1 = \frac{3}{2}(x \; - \; 7)

20.  (−8, 0)

21.  y \; - \; 3 = - \frac{5}{2}(x - 1)

22.  (−6, 1)

23a.  y − 3 = 6(x − 5)

23b. y \; - \; 7 = - \frac{3}{2}(x \; - \; 4)

23c.   (16/3, 5)

23d.   y = 5

23e.   Yes, the point (16/3, 5) lies on the line y = 5.

Section 2.4 Answers

1a.  (7, 9)

1b.  (−2, 5)

1c.  (−7, −14)

1d. (−4, 6)

2a. $\left( \frac{3}{8} , – \frac{7}{4} \right) $

2b.  (−9, 0)

2c.  (1, 2)

2d.  (3, −1)

3.  $\left( \frac{3}{2}, \frac{1}{2} \right)$

4.  (4, 1)

5.  (3.46, 2)  and   (−3.46, 2)

6a.  No Solution (lines never intersect)

6b.  Infinite solutions (lines are the same)  ;  (x, −2x − 4)

7.  (−2, 7)

8.  $\left( \frac{1}{3} , \frac{4}{3} \right)$

9.  $y = – \frac{9}{5}$

10.  (−6, 9)

11a. (1, 1)

11b. (-1, 4)

12.  (−1, 4)

13.  $\left( \frac{11}{10} , \frac{17}{10} \right)$

14.  (−6, −5)

15a. $\left( 0, \frac{3}{2} \right)$

15b.  (6, 0)

16.   $\left( \frac{41}{5} , -\frac{77}{15} \right)$  (icky!)

17.   $x = \frac{ce \; – \; bf}{ae \; – \; bd}  \text{ and } y = -\frac{ce \; – \; af}{ae \; – \; bd}$

18.  $\sqrt{5}$

Section 2.3 Answers

1a. $-\frac{1}{3}$

1b. $-\frac{1}{5}$

1c. $-\frac{5}{3}$

2a.  y + 2 = ⅔x  or  y = ⅔(x − 3)

2b.  y = ⅔x + 4

2c. $y = -\frac{3}{2}(x \; – \; 3)$

3.  12 units

4.  66°

5.  (−6.23, −2.72)

6a.  Always

6b.  Sometimes

6c.  Sometimes

6d.  Sometimes

6e.  Always

7a.

b.  y = 2x

c.  y − 2 = ½(x − 4)

8.  y + 2 = ⅔(x − 6)

9a.  W’ = (7, 2)

9b.  I’ = (-6, 0)

9c.  N’ = (−9, 18)

9d.  D’ = (−16, −1.5)

10a. $y \; – \; 3 = – \frac{5}{2}(x + 12)$

10b.  y = ⅛x − 8

10c. x = −5

11.  No, not a right angle because $\overline{AB}$ and $\overline{BC}$ are not perpendicular.

12.  No, not an altitude since ∠PLU and ∠PLG are not both right angles.

13a. $y + 2 = -\frac{7}{20}(x \; – \; 7)$

13b.  y = -5x + 7

13c.  y = -2

14.  x = ±5  

15.   $x = \frac{23}{4} \text{ or } 5\frac{3}{4}$  

16.  8.75

17.  y = −7

18.  Exploration.