# Graphing Lines

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Klikk for å starte
Bruk denne HTML-koda for å vise eit skjermbilete med orda "Klikk for å starte". Teikne graf frå lineære likningar Linjer Skråplan PhET er støtta av og pedagogar som deg.
 Original Sim and Translations

### Innhald

• Teikne graf frå lineære likningar
• Linjer
• Skråplan

### Description

Explore the world of lines. Investigate the relationships between linear equations, slope, and graphs of lines. Challenge yourself in the line game!

### Døme på læringsmål

• Explain how the slope of a graphed line can be computed.
• Graph a line given an equation in either slope-intercept or point-slope form.
• Write an equation in slope-intercept or point-slope form given a graphed line.
• Predict how changing variables in a linear equation will affect the graphed line.

### 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.
Version 1.3.10

### Teacher Tips

 Lærarguiden (pdf) inneheld tips som er laga av PhET-teamet. ( PDF ).

### Teacher-Submitted Activities

Games Remote Lesson ideas Trish Loeblein Student - intro
Barneskule
vgs
Ungdomsskule
Remote
Lekse
Fysikk
Kjemi
Matematikk
Slope-Intercept Lesson and Activity Sheet Amanda McGarry vgs
Ungdomsskule
Guided
Remote
Matematikk
Slope and Speed (revised) Sarah Borenstein Ungdomsskule Lab Matematikk
Fysikk
Exploring Slope and Speed Sarah Borenstein and Trish Loeblein Ungdomsskule Lab
Guided
Matematikk
Fysikk
Point-Slope Lesson and Activity Sheet Amanda McGarry vgs
Ungdomsskule
Guided Matematikk
Slope Lesson and Activity Sheet Amanda McGarry Ungdomsskule
vgs
Guided Matematikk
Using Transformations to Graph in Slope-Intercept Form Dana Alderman vgs
Ungdomsskule
Guided Matematikk
Similar Triangles and Slope Andrew Freeman Ungdomsskule Guided Matematikk
Exploring parallel and perpendicular lines David Schenck Ungdomsskule
vgs
Lab
Guided
Matematikk
Linear Equations in Slope-Intercept and Point-Slope Form using “Graphing Lines PhET Simulation” Enhui Chu Ungdomsskule
vgs
Lab
Guided
Discuss
Matematikk
Making Sense of Slope Jim Freund Ungdomsskule Guided Matematikk
Exploring Solving Systems of Linear Equations Mary Burr Ungdomsskule Discuss
Guided
Matematikk
Go the Distance! Mary Burr Ungdomsskule Guided
Discuss
Matematikk
How do PhET simulations fit in my middle school program? Sarah Borenstein Ungdomsskule Anna Fysikk
Geofag
Biologi
Kjemi
Middle School Math Sim Alignment Amanda McGarry Ungdomsskule Anna Matematikk
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López vgs
Ungdomsskule
Anna Fysikk
Kjemi
Matematikk
Biologi
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López vgs
Student - intro
Anna Fysikk
Kjemi
Matematikk
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López Ungdomsskule
Barneskule
Demo
Lekse
Lab
Discuss
Guided
Matematikk
Kjemi
Fysikk
Astronomi
Preguntas de razonamiento para todas las simulaciones HTML5 Diana López Barneskule
vgs
Student - intro
Student - avansert
MSc/PhD
Ungdomsskule
Lekse
Discuss
Kjemi
Matematikk
Fysikk
Astronomi
MS and HS TEK to Sim Alignment Elyse Zimmer vgs
Ungdomsskule
Anna Kjemi
Biologi
Fysikk
Physics Graphing and Introduction to Models Steve Banasiak vgs Lekse
Lab
Fysikk
Mapping of PhET and IBDP Physics Jaya Ramchandani vgs Anna Fysikk
Equação e posição das retas Italândia Ferreira de Azevedo e Francisco Régis Vieira Alves vgs Lab Matematikk
Estudo da Reta Thamires Silva Aquino de Souza e Francisco Silva Aquino de Souza vgs Guided Matematikk
Gráficando Rectas, Gráficando Cuadráticas Andrés Gualberto Palomo Cuevas vgs Remote
Lekse
Matematikk
Explorando sistemas de ecuaciones lineales Mary Burr y Jeffrey Bush, traducido al español por Diana López Ungdomsskule
vgs
Guided Matematikk
Albanian All shqip Paraqitja grafike e drejtëzës
Arabic All العربية تمثيل الخطوط المستقيمة
Basque All Euskara Zuzenak marraztuz
Bosnian All Bosanski Crtanje pravih
Chinese (China) All 中文 (中国) 直线图形
Chinese (Taiwan) All 中文 (台灣) Graphing Lines_描繪所有直線
Danish All Dansk Tegning af rette linier
Dutch All Nederlands Rechten tekenen
Finnish All suomi Suorien piirtäminen
French All français Traceur de droites
German All Deutsch Geraden ziehen
Greek All Ελληνικά Γραφικές αναπαραστάσεις γραμμών
Hebrew All עברית ציר הגרפים
Hindi All हिंदी रेखाओं का आलेख
Hungarian All magyar Egyenesek ábrázolása
Irish All Gaeilge Línte graif
Italian All italiano Grafici lineari
Japanese All 日本語 一次関数のグラフ
Kazakh All Kazakh Түзудің теңдеуі
Korean All 한국어 그래프에 선 그리기
Latvian All Latviešu Taišņu zīmēšana
Maori All Maori He Kauwhata Rārangi
Marathi All मराठी आलेखावर रेषा काढने
Mongolian All Монгол (Монгол) Шулууны График
Norwegian Bokmål All Norsk bokmål Tegne Linjer
Persian All فارسی رسم خطوط
Polish All polski Wykresy prostych
Portuguese (Brazil) All português (Brasil) Traçando Retas
Russian All русский Уравнение прямой
Serbian All Српски Цртање правих
Sinhalese All Sinhalese සරල රේඛීය ප්‍රස්තාර
Slovak All Slovenčina Grafy lineárnej funkcie
Slovenian All Slovenščina Načrtovanje premic
Spanish All español Graficando Rectas
Spanish (Mexico) All español (México) Graficando Rectas
Spanish (Peru) All español (Perú) Graficando Líneas
Spanish (Spain) All español (España) Representando rectas
Swahili All Swahili Mistari kwenye Graphu
Swedish All svenska Räta linjens ekvation 2
Tamil All Tamil வரைபிடும் கோடுகள்
Turkish All Türkçe Grafik Doğruları
Ukrainian All українська Графік лінійної функції
Vietnamese All Tiếng Việt Đồ thị Hàm tuyến tính

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Designteam Tredjepartsbibliotek Takk til
• Ariel Paul (lead)
• Chris Malley (developer)
• Bryce Gruneich
• Karina Hensberry
• Patricia Loeblein
• Amanda McGarry
• Kathy Perkins
• Sharon Siman-Tov (graphic arts)
• almond-0.2.9.js
• base64-js-1.2.0.js
• FileSaver-b8054a2.js
• font-awesome-4.5.0
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