Grafy lineárnej funkcie

Grafy lineárnej funkcie Obrazovka  Stiahnuť  Kód na vloženie
  • Graf lineárnej funkcie
  • Priamky
  • Smernica priamky
Java Logo Pôvodná simulácia a preklady

Témy

  • Graf lineárnej funkcie
  • Priamky
  • Smernica priamky

Popis

Preskúmaj svet priamok. Sleduj vzťahy medzi rovnicou, smernicou priamky a nakreslenou priamkou. Prijmi výzvu na súťaž v hre o priamkach!

Ukážkové ciele vzdelávania

  • Vysvetliť, ako je možné vypočítať smernicu priamky.
  • Zakresliť priamku na základe rovnice v smernicovom tvare alebo v tvare bod a smernica.
  • Napísať rovnicu priamky v smernicovom tvare alebo pomocou bodu priamky.
  • Predvídať, ako zmeny v lineárnej rovnice ovplyvnia znázornenie priamky v grafe.

Standards Alignment

Common Core - Math

8.EE.B.5
Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.
8.EE.B.6
Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.
8.EE.C.8a
Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
8.EE.C.8b
Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.
8.F.A.3
Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
HSF-IF.C.7
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.*
HSF-IF.C.7a
Graph linear and quadratic functions and show intercepts, maxima, and minima.
HSF-LE.A.1a
Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
Verzia 1.3.10

Typy pre učiteľov

Stiahnuť typy pre učiteľov v PDF Prehľad ovládacích prvkov simulácie, modelové zjednodušenie a postrehy o študentskom uvažovaní. ( PDF ).

Video Primer

Prosím prihláste sa, pre sledovanie videa.

Teacher-Submitted Activities

Games Remote Lesson ideas A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Trish Loeblein
K-5
ZŠ-II
VŠ-zač

Remote
Chémia
Matematika
Fyzika
Slope-Intercept Lesson and Activity Sheet A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Amanda McGarry ZŠ-II
Guided
Remote
Matematika
Slope and Speed (revised) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Sarah Borenstein ZŠ-II Lab Matematika
Fyzika
Exploring Slope and Speed A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Sarah Borenstein and Trish Loeblein ZŠ-II Lab
Guided
Fyzika
Matematika
Point-Slope Lesson and Activity Sheet A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Amanda McGarry ZŠ-II
Guided Matematika
Slope Lesson and Activity Sheet A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Amanda McGarry
ZŠ-II
Guided Matematika
Using Transformations to Graph in Slope-Intercept Form A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Dana Alderman
ZŠ-II
Guided Matematika
Similar Triangles and Slope A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Andrew Freeman ZŠ-II Guided Matematika
Exploring parallel and perpendicular lines A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. David Schenck ZŠ-II
Guided
Lab
Matematika
Linear Equations in Slope-Intercept and Point-Slope Form using “Graphing Lines PhET Simulation” A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Enhui Chu ZŠ-II
Lab
Disk
Guided
Matematika
Making Sense of Slope A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Jim Freund ZŠ-II Guided Matematika
Exploring Solving Systems of Linear Equations A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Mary Burr ZŠ-II Disk
Guided
Matematika
Go the Distance! A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Mary Burr ZŠ-II Guided
Disk
Matematika
How do PhET simulations fit in my middle school program? This contribution was designed by PhET. Sarah Borenstein ZŠ-II Iné Veda o Zemi
Biológia
Fyzika
Chémia
Middle School Math Sim Alignment This contribution was designed by PhET. Amanda McGarry ZŠ-II Iné Matematika
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) This contribution was designed by PhET. Diana López ZŠ-II
Iné Chémia
Matematika
Biológia
Fyzika
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) This contribution was designed by PhET. Diana López
VŠ-zač
Iné Fyzika
Matematika
Chémia
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) This contribution was designed by PhET. Diana López K-5
ZŠ-II
Demo
Guided

Disk
Lab
Chémia
Fyzika
Matematika
Astronómia
Preguntas de razonamiento para todas las simulaciones HTML5 This contribution was designed by PhET. Diana López VŠ-abs
VŠ-pokr
K-5
VŠ-zač
ZŠ-II

Disk
Astronómia
Matematika
Fyzika
Chémia
MS and HS TEK to Sim Alignment Elyse Zimmer
ZŠ-II
Iné Chémia
Fyzika
Biológia
Physics Graphing and Introduction to Models Steve Banasiak Lab
Fyzika
Mapping of PhET and IBDP Physics Jaya Ramchandani Iné Fyzika
Equação e posição das retas Italândia Ferreira de Azevedo e Francisco Régis Vieira Alves Lab Matematika
Estudo da Reta Thamires Silva Aquino de Souza e Francisco Silva Aquino de Souza Guided Matematika
Gráficando Rectas, Gráficando Cuadráticas Andrés Gualberto Palomo Cuevas Remote
Matematika
Explorando sistemas de ecuaciones lineales Mary Burr y Jeffrey Bush, traducido al español por Diana López ZŠ-II
Guided Matematika

Jazyk Download or Run Tips
Albánčina All shqip Download Run now Paraqitja grafike e drejtëzës
Angličtina All English Download Run now Graphing Lines
Arabčina All العربية Download Run now تمثيل الخطوط المستقيمة
Baskičtina All Euskara Download Run now Zuzenak marraztuz
Bosnian All Bosanski Download Run now Crtanje pravih
Čínština (Tradičná) All 中文 (台灣) Download Run now Graphing Lines_描繪所有直線
Čínština (Zjednodušená) All 中文 (中国) Download Run now 直线图形
Dánčina All Dansk Download Run now Tegning af rette linier
Fínčina All suomi Download Run now Suorien piirtäminen
Francúzština All français Download Run now Traceur de droites
Gréčtina All Ελληνικά Download Run now Γραφικές αναπαραστάσεις γραμμών
Hebrejčina All עברית Download Run now ציר הגרפים
Hindi All हिंदी Download Run now रेखाओं का आलेख 
Holandčina All Nederlands Download Run now Rechten tekenen
Irish All Gaeilge Download Run now Línte graif
Japončina All 日本語 Download Run now 一次関数のグラフ
Kazakh All Kazakh Download Run now Түзудің теңдеуі
Kórejčina All 한국어 Download Run now 그래프에 선 그리기
Latvian All Latviešu Download Run now Taišņu zīmēšana
Maďarčina All magyar Download Run now Egyenesek ábrázolása
Maori All Maori Download Run now He Kauwhata Rārangi
Marathi All मराठी Download Run now आलेखावर रेषा काढने
Mongolian All Монгол (Монгол) Download Run now Шулууны График
Nemčina All Deutsch Download Run now Geraden ziehen
Nórčina Bokmal All Norsk bokmål Download Run now Tegne Linjer
Perzština All فارسی Download Run now رسم خطوط
Poľština All polski Download Run now Wykresy prostych
Portugalčina (Brazília) All português (Brasil) Download Run now Traçando Retas
Ruština All русский Download Run now Уравнение прямой 
Sinhalese All Sinhalese Download Run now සරල රේඛීය ප්‍රස්තාර
Slovinčina All Slovenščina Download Run now Načrtovanje premic
Srbčina All Српски Download Run now Цртање правих
Swahili All Swahili Download Run now Mistari kwenye Graphu
Španielčina All español Download Run now Graficando Rectas Stiahnuť typy pre učiteľov v PDF
Španielčina (Mexico) All español (México) Download Run now Graficando Rectas Stiahnuť typy pre učiteľov v PDF
Španielčina (Peru) All español (Perú) Download Run now Graficando Líneas
Španielčina (Španielsko) All español (España) Download Run now Representando rectas
Švédčina All svenska Download Run now Räta linjens ekvation 2
Taliančina All italiano Download Run now Grafici lineari
Tamil All Tamil Download Run now வரைபிடும் கோடுகள்
Turečtina All Türkçe Download Run now Grafik Doğruları
Ukrajinčina All українська Download Run now Графік лінійної функції Stiahnuť typy pre učiteľov v PDF
Vietnamčina All Tiếng Việt Download Run now Đồ thị Hàm tuyến tính

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 10.13+, Safari 13+, latest version of Chrome.

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

Autorský tím Iné knižnice Poďakovanie
  • Ariel Paul (lead)
  • Chris Malley (developer)
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  • Kathy Perkins
  • Sharon Siman-Tov (graphic arts)
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