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Käynnistä klikkaamalla
Käytä tätä HTML-koodia näyttääksesi kuvakaappauksen, jossa lukee "Käynnistä klikkaamalla". Graphing Linear Equations Lines Slope PhET-projektia tukevat ja opettajat kuten sinä.
 Original Sim and Translations

Sisältö

• Graphing Linear Equations
• Lines
• Slope

Description

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

Esimerkkejä oppimistavoitteista

• 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

 Opettajan opas (pdf) sisältää PhET-tiimin vinkkejä. ( PDF ).

Teacher-Submitted Activities

Games Remote Lesson ideas Trish Loeblein YK
UG-Intro
K-5
L
Kotiteht
Remote
Fysiikka
Matematiikka
Kemia
Slope-Intercept Lesson and Activity Sheet Amanda McGarry YK
L
Remote
Guided
Matematiikka
Slope and Speed (revised) Sarah Borenstein YK Labra Matematiikka
Fysiikka
Exploring Slope and Speed Sarah Borenstein and Trish Loeblein YK Guided
Labra
Matematiikka
Fysiikka
Point-Slope Lesson and Activity Sheet Amanda McGarry YK
L
Guided Matematiikka
Slope Lesson and Activity Sheet Amanda McGarry YK
L
Guided Matematiikka
Using Transformations to Graph in Slope-Intercept Form Dana Alderman L
YK
Guided Matematiikka
Similar Triangles and Slope Andrew Freeman YK Guided Matematiikka
Exploring parallel and perpendicular lines David Schenck YK
L
Labra
Guided
Matematiikka
Linear Equations in Slope-Intercept and Point-Slope Form using “Graphing Lines PhET Simulation” Enhui Chu L
YK
Labra
Guided
Discuss
Matematiikka
Making Sense of Slope Jim Freund YK Guided Matematiikka
Exploring Solving Systems of Linear Equations Mary Burr YK Discuss
Guided
Matematiikka
Go the Distance! Mary Burr YK Discuss
Guided
Matematiikka
How do PhET simulations fit in my middle school program? Sarah Borenstein YK Muu Kemia
Biologia
Maantiede
Fysiikka
Middle School Math Sim Alignment Amanda McGarry YK Muu Matematiikka
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López L
YK
Muu Biologia
Matematiikka
Fysiikka
Kemia
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López UG-Intro
L
Muu Matematiikka
Fysiikka
Kemia
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López YK
K-5
Demo
Discuss
Guided
Labra
Kotiteht
Fysiikka
Astronomia
Kemia
Matematiikka
Preguntas de razonamiento para todas las simulaciones HTML5 Diana López K-5
UG-Intro
YK
L
Kotiteht
Discuss
Kemia
Fysiikka
Matematiikka
Astronomia
MS and HS TEK to Sim Alignment Elyse Zimmer YK
L
Muu Fysiikka
Biologia
Kemia
Physics Graphing and Introduction to Models Steve Banasiak L Kotiteht
Labra
Fysiikka
Mapping of PhET and IBDP Physics Jaya Ramchandani L Muu Fysiikka
Gráficando Rectas, Gráficando Cuadráticas Andrés Gualberto Palomo Cuevas L Remote
Kotiteht
Matematiikka
Explorando sistemas de ecuaciones lineales Mary Burr y Jeffrey Bush, traducido al español por Diana López YK
L
Guided Matematiikka
Equação e posição das retas Italândia Ferreira de Azevedo e Francisco Régis Vieira Alves L Labra Matematiikka
Estudo da Reta Thamires Silva Aquino de Souza e Francisco Silva Aquino de Souza L Guided Matematiikka
Albania All shqip Paraqitja grafike e drejtëzës
Arabia All العربية تمثيل الخطوط المستقيمة
Bosnia All Bosanski Crtanje pravih
Brasilian portugali All português (Brasil) Traçando Retas
Englanti All English Graphing Lines
Espanja All español Graficando Rectas
Espanja (Espanja) All español (España) Representando rectas
Espanja (Meksiko) All español (México) Graficando Rectas
Espanja (Peru) All español (Perú) Graficando Líneas
Heprea All עברית ציר הגרפים
Hindi All हिंदी रेखाओं का आलेख
Hollanti All Nederlands Rechten tekenen
Irlanti All Gaeilge Línte graif
Italia All italiano Grafici lineari
Japani All 日本語 一次関数のグラフ
Kazakki All Kazakh Түзудің теңдеуі
Kiina - perinteinen All 中文 (台灣) Graphing Lines_描繪所有直線
Kiina - yksinkertaistettu All 中文 (中国) 直线图形
Kirjanorja All Norsk bokmål Tegne Linjer
Korea All 한국어 그래프에 선 그리기
Kreikka All Ελληνικά Γραφικές αναπαραστάσεις γραμμών
Latvia All Latviešu Taišņu zīmēšana
Maori All Maori He Kauwhata Rārangi
Marathi All मराठी आलेखावर रेषा काढने
Mongoli All Монгол (Монгол) Шулууны График
Persia All فارسی رسم خطوط
Puola All polski Wykresy prostych
Ranska All français Traceur de droites
Ruotsi All svenska Räta linjens ekvation 2
Serbia All Српски Цртање правих
Sinhali All Sinhalese සරල රේඛීය ප්‍රස්තාර
Slovakki All Slovenčina Grafy lineárnej funkcie
Sloveeni All Slovenščina Načrtovanje premic
Swahili All Swahili Mistari kwenye Graphu
Tamili All Tamil வரைபிடும் கோடுகள்
Tanska All Dansk Tegning af rette linier
Turkki All Türkçe Grafik Doğruları
Ukraina All українська Графік лінійної функції
Unkari All magyar Egyenesek ábrázolása
Venäjä All русский Уравнение прямой
Vietnam All Tiếng Việt Đồ thị Hàm tuyến tính

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

iOS 12+ Safari

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

Chromebook:
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims

Windows Systems:

Macintosh Systems:

Linux Systems:

Suunnitteluryhmä Kolmannen osapuolen kirjastot Kiitokset
• 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
• game-up-camera-1.0.0.js
• he-1.1.1.js
• himalaya-0.2.7.js
• jama-1.0.2
• jquery-2.1.0.js
• lodash-4.17.4.js
• pegjs-0.7.0.js
• seedrandom-2.4.2.js
• text-2.0.12.js
• TextEncoderLite-3c9f6f0.js