Trig Tour

See simulatsioon pole veel sellesse keelde tõlgitud. Ingliskeelne versioon on saadaval allpool.

Trig Tour Ekraanipilt  Lae alla  Manusta
  • Trigonometry
  • Unit circle
  • Sines

Sisu

  • Trigonometry
  • Unit circle
  • Sines
  • Cosines
  • Tangents

Description

Take a tour of trigonometry using degrees or radians! Look for patterns in the values and on the graph when you change the value of theta. Compare the graphs of sine, cosine, and tangent.

Näidis-õpieesmärgid

  • Define trig functions for negative angles and angles greater than 90 degrees.
  • Translate between multiple representations of trig functions: as sides of a right triangle inscribed in a unit circle, graph of the function vs. angle, and numerical values of the function.
  • Deduce the sign (+, -, 0) of a trig function for any given angle without a calculator using the unit circle concept.
  • Estimate the value of trig functions for any given angle without a calculator using the unit circle concept.
  • Define exact trig functions for special angles using degrees or radians for angle measures.

Standards Alignment

Common Core - Math

HSF-TF.A.2
Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.
HSF-TF.A.3
(+) Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for x, π + x, and 2π - x in terms of their values for x, where x is any real number.
HSF-TF.A.4
(+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.
Version 1.0.22

Teacher Tips

Õpetajate juhend (pdf) sisaldab PhETi poolt loodud nõuandeid. ( PDF ).

Teacher-Submitted Activities

Trig Tour - Connecting the Unit Circle to the Graph A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Selle kaastöö koostas PhET. Susan Miller KK Guided Matemaatika
Trig Tour - Seeing Patterns in a Unit Circle A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Selle kaastöö koostas PhET. Susan Miller KK Guided Matemaatika
Trig Tour - Using Reference Angles with a Unit Circle A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Selle kaastöö koostas PhET. Susan Miller KK Guided Matemaatika
Preguntas de razonamiento para todas las simulaciones HTML5 A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Selle kaastöö koostas PhET. Diana López ÜÕ-Kõrgem tase
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SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Selle kaastöö koostas PhET. Diana López PK
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PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Selle kaastöö koostas PhET. Diana López KK
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Mapping of PhET and IBDP Physics Jaya Ramchandani KK Muu Füüsika
Trigonometria: Ciclo e identidades (operações com arcos) Rosalide Carvalho de Sousa e Francisco Régis Vieira Alves KK Muu Matemaatika
Figuras y cuerpos geométricos. Andrés Gualberto Palomo Cuevas KK Remote
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Matemaatika

Keel Download or Run Tips
albaania All shqip Download Run now Udhëtim trigonometrik
araabia All العربية Download Run now جولة في حساب المثلثات
baski All Euskara Download Run now Trig bira
Belarusian All беларускі Download Run now Трыганаметрычныя функцыі
bosnia All Bosanski Download Run now Trigonometrijske funkcije
heebrea All עברית Download Run now סיור טריגו
hiina (lihtsustatud) All 中文 (中国) Download Run now 三角函数之旅
hiina (trad.) All 中文 (台灣) Download Run now Trig Tour_三角函數之旅
Hindi All हिंदी Download Run now त्रिकोणमिति यात्रा 
hispaania All español Download Run now Tour trigonométrico
hispaania (Peruu) All español (Perú) Download Run now Recorrido Trigonométrico
hollandi All Nederlands Download Run now Trigonometrie toer
horvaadi All hrvatski Download Run now Trig Tour
iiri All Gaeilge Download Run now Turas Triantánaithe
itaalia All italiano Download Run now Il giro della trigonometria
jaapani All 日本語 Download Run now 三角関数
kannada All Kannada Download Run now ಟ್ರಿಗ್ ಪ್ರವಾಸ
kasahhi All Kazakh Download Run now Тригонометриялық саяхат
korea All 한국어 Download Run now 삼각함수 여행
kreeka All Ελληνικά Download Run now Περιήγηση στην Τριγωνομετρία
läti All Latviešu Download Run now Ieskats trigonometrijā
Maori All Maori Download Run now Tawhio Pākoki
marathi All मराठी Download Run now त्रिकोणमितीची सफ़र
mongoli All Монгол (Монгол) Download Run now Тригно Аян
norra (bokmål) All Norsk bokmål Download Run now TrigonometriTur
poola All polski Download Run now Funkcje trygonometryczne
portugali (Brasiilia) All português (Brasil) Download Run now Tour Trigonométrico
prantsuse All français Download Run now Tour de trigo
pärsia All فارسی Download Run now دایره واحد
rootsi All svenska Download Run now Trig Tour
saksa All Deutsch Download Run now Trigonometrie Tour
serbia All Српски Download Run now Тригонометријска кружница
singali All Sinhalese Download Run now ත්‍රිකෝණමිතික චාරිකාව (Trig Tour)
slovaki All Slovenčina Download Run now Trigonometria
soome All suomi Download Run now Trigonometria
Spanish (Mexico) All español (México) Download Run now Tour trigonométrico
Spanish (Spain) All español (España) Download Run now Tour trigonométrico
taani All Dansk Download Run now Enhedscirklen
tamili All Tamil Download Run now Trig Tour
türgi All Türkçe Download Run now Trigonometri Turu
ukraina All українська Download Run now Тригонометричний тур
ungari All magyar Download Run now Szögfüggvények
vene All русский Download Run now Тригонометрические функции (единичная окружность, получение графиков функций)
vietnami All Tiếng Việt Download Run now Vòng tròn lượng giác

HTML5 sims can run on iPads and Chromebooks, as well as PC, Mac, and Linux systems.

iPad:
iOS 12+ Safari
iPad compatible sims

Android:
Not officially supported. If you are using the HTML5 sims on Android, we recommend using the latest version of Google Chrome.

Chromebook:
Latest version of Google Chrome
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims

Windows Systems:
Microsoft Edge, latest version of Firefox, latest version of Google Chrome.

Macintosh Systems:
macOS 10.12+, Safari 12+, latest version of Chrome.

Linux Systems:
Not officially supported. Please contact phethelp@colorado.edu with troubleshooting issues.

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