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)
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
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
WISE OLD MAN: j4p4n; http://openclipart.org/detail/190655/wise-old-man-by-j4p4n-190655
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
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
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
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
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
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
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)]
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
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
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
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
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
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
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.
1. Center of circle and a circle with the same center with a radius of 10.
2. 20°
3a. ∠ESG
3b.
3c.
3d.
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
1a.
1b.
1c.
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.
6. AB = 14
8a. 7.5 minutes
8b. 90 minutes
9a. C
9b. J
9c. E
9d. ∠AJH
9e.
9f.
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.
15a. 37.5%
15b. 25%
1a. (9, −6)
1b.
1c.
2. (10, 5)
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.
7.
8.
9.
10.
11. y − 3 = ½(x − 10)
12.
13.
14. Z’ = (−3, −8) , I’ = (5, −3) , P’ = (0, 0)
15a.
15b. A’ = (−2, 0) , B’ = (0, 6) , C’ = (4, 0)
15c.
15d. Altitudes are parallel
16. (5, −4)
17. y − 3 = −2(x − 2)
18.
19.
20. (−8, 0)
21.
22. (−6, 1)
23a. y − 3 = 6(x − 5)
23b.
23c. (16/3, 5)
23d. y = 5
23e. Yes, the point (16/3, 5) lies on the line y = 5.
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. $\sqrt{5}$
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.