TrigonometriTur

TrigonometriTur Skjermbilde  Last ned  Innbygging
  • Trigonometry
  • Unit circle
  • Sinus

Innhold

  • Trigonometry
  • Unit circle
  • Sinus
  • Kosinus
  • Tangents

Beskrivelse

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.

Eksempel på læringsmål

  • 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.
Versjon 1.0.20

Lærertips

Last ned lærertips PDF Oversikt over sim-kontroller, modellforenklinger, og innsikt i elevenes tenkning ( PDF ).

Aktiviteter sendt inn av lærere

Trig Tour - Connecting the Unit Circle to the Graph A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Dette bidraget ble designet av PhET. Susan Miller vgs Guided Matematikk
Trig Tour - Seeing Patterns in a Unit Circle A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Dette bidraget ble designet av PhET. Susan Miller vgs Guided Matematikk
Trig Tour - Using Reference Angles with a Unit Circle A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Dette bidraget ble designet av PhET. Susan Miller vgs Guided Matematikk
Preguntas de razonamiento para todas las simulaciones HTML5 A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Dette bidraget ble designet av PhET. Diana López vgs
Student - avansert
MSc/PhD
Student - intro
Barneskole
Ungdomsskole
Lekse
Discuss
Fysikk
Kjemi
Astronomi
Matematikk
Mapping of PhET and IBDP Physics Jaya Ramchandani vgs Annet Fysikk

Språk Last ned eller kjør Tips
Arabic All العربية Download Run now جولة في حساب المثلثات
Basque All Basque Download Run now Trig bira
Belarusian All беларускі Download Run now Трыганаметрычныя функцыі
Bosnian All Bosanski Download Run now Trigonometrijske funkcije
Chinese (China) All 中文 (中国) Download Run now 三角函数之旅
Chinese (Taiwan) All 中文 (台灣) Download Run now Trig Tour_三角函數之旅
Danish All Dansk Download Run now Enhedscirklen
Dutch All Nederlands Download Run now Trigonometrie toer
English All English Download Run now Trig Tour
Finnish All suomi Download Run now Trigonometria
French All français Download Run now Tour de trigo
German All Deutsch Download Run now Trigonometrie Tour
Greek All Ελληνικά Download Run now Περιήγηση στην Τριγωνομετρία
Hebrew All עברית Download Run now סיור טריגו
Hindi All हिंदी Download Run now त्रिकोणमिति यात्रा 
Hungarian All magyar Download Run now Szögfüggvények
Irish All Gaeilge Download Run now Turas Triantánaithe
Italian All italiano Download Run now Il giro della trigonometria
Japanese All 日本語 Download Run now 三角関数
Kannada All Kannada Download Run now ಟ್ರಿಗ್ ಪ್ರವಾಸ
Kazakh All Kazakh Download Run now Тригонометриялық саяхат
Korean All 한국어 Download Run now 삼각함수 여행
Latvian All Latviešu Download Run now Ieskats trigonometrijā
Maori All Maori Download Run now Tawhio Pākoki
Marathi All मराठी Download Run now त्रिकोणमितीची सफ़र
Mongolian All Монгол (Монгол) Download Run now Тригно Аян
Polish All polski Download Run now Funkcje trygonometryczne
Portuguese (Brazil) All português (Brasil) Download Run now Tour Trigonométrico
Russian All русский Download Run now Тригонометрическое путешествие
Serbian All Српски Download Run now Тригонометријска кружница
Sinhalese All Sinhalese Download Run now ත්‍රිකෝණමිතික චාරිකාව (Trig Tour)
Slovak All Slovenčina Download Run now Trigonometria
Spanish All español Download Run now Tour trigonométrico Last ned lærertips PDF
Spanish (Mexico) All español (México) Download Run now Tour trigonométrico Last ned lærertips PDF
Spanish (Peru) All español (Perú) Download Run now Recorrido Trigonométrico
Spanish (Spain) All español (España) Download Run now Tour trigonométrico
Swedish All svenska Download Run now Trig Tour
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Vietnamese All Tiếng Việt Download Run now Vòng tròn lượng giác

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

iPad:
iOS 11+ 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 and Internet Explorer 11, latest version of Firefox, latest version of Google Chrome.

Macintosh Systems:
macOS 10.9.5+, Safari 9+, latest version of Chrome.

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

Designteam Tredjepartsbiblioteker Takk til
  • Amanda McGarry (lead)
  • Michael Dubson (lead, developer)
  • Jesse Greenberg (developer)
  • Ariel Paul
  • Kathy Perkins
  • almond-0.2.9.js
  • FileSaver-b8054a2.js
  • fontawesome-webfont-3.0.2.svg
  • jama-1.0.2
  • jquery-2.1.0.js
  • lodash-2.4.1.js
  • pegjs-0.7.0.js
  • seedrandom-2.4.2.js
  • text-2.0.12.js