# Graphing Lines

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Vajuta, et mängida
Kasuta seda HTML koodi, et näidata ekraanipilti koos sõnadega ,,Vajuta, et mängida". Graphing Linear Equations Lines Slope PhETi toetavad ja õpetajad nagu Teiegi.
 Original Sim and Translations

### Sisu

• 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!

### Näidis-õpieesmärgid

• 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

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

### Teacher-Submitted Activities

Games Remote Lesson ideas Trish Loeblein ÜÕ-Sissejuhatus
K-5
PK
KK
KT
Remote
Matemaatika
Keemia
Füüsika
Slope-Intercept Lesson and Activity Sheet Amanda McGarry PK
KK
Guided
Remote
Matemaatika
Slope and Speed (revised) Sarah Borenstein PK Pr Matemaatika
Füüsika
Exploring Slope and Speed Sarah Borenstein and Trish Loeblein PK Guided
Pr
Matemaatika
Füüsika
Point-Slope Lesson and Activity Sheet Amanda McGarry PK
KK
Guided Matemaatika
Slope Lesson and Activity Sheet Amanda McGarry KK
PK
Guided Matemaatika
Using Transformations to Graph in Slope-Intercept Form Dana Alderman PK
KK
Guided Matemaatika
Similar Triangles and Slope Andrew Freeman PK Guided Matemaatika
Exploring parallel and perpendicular lines David Schenck KK
PK
Pr
Guided
Matemaatika
Linear Equations in Slope-Intercept and Point-Slope Form using “Graphing Lines PhET Simulation” Enhui Chu PK
KK
Discuss
Pr
Guided
Matemaatika
Making Sense of Slope Jim Freund PK Guided Matemaatika
Exploring Solving Systems of Linear Equations Mary Burr PK Guided
Discuss
Matemaatika
Go the Distance! Mary Burr PK Discuss
Guided
Matemaatika
How do PhET simulations fit in my middle school program? Sarah Borenstein PK Muu Maateadus
Bioloogia
Füüsika
Keemia
Middle School Math Sim Alignment Amanda McGarry PK Muu Matemaatika
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López PK
KK
Muu Matemaatika
Füüsika
Bioloogia
Keemia
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López ÜÕ-Sissejuhatus
KK
Muu Keemia
Füüsika
Matemaatika
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López K-5
PK
KT
Demo
Discuss
Guided
Pr
Füüsika
Matemaatika
Astronoomia
Keemia
Preguntas de razonamiento para todas las simulaciones HTML5 Diana López ÜÕ-Sissejuhatus
PK
L
ÜÕ-Kõrgem tase
K-5
KK
KT
Discuss
Matemaatika
Keemia
Füüsika
Astronoomia
MS and HS TEK to Sim Alignment Elyse Zimmer PK
KK
Muu Keemia
Füüsika
Bioloogia
Physics Graphing and Introduction to Models Steve Banasiak KK KT
Pr
Füüsika
Mapping of PhET and IBDP Physics Jaya Ramchandani KK Muu Füüsika
Equação e posição das retas Italândia Ferreira de Azevedo e Francisco Régis Vieira Alves KK Pr Matemaatika
Estudo da Reta Thamires Silva Aquino de Souza e Francisco Silva Aquino de Souza KK Guided Matemaatika
Gráficando Rectas, Gráficando Cuadráticas Andrés Gualberto Palomo Cuevas KK Remote
KT
Matemaatika
Explorando sistemas de ecuaciones lineales Mary Burr y Jeffrey Bush, traducido al español por Diana López PK
KK
Guided Matemaatika
albaania All shqip Paraqitja grafike e drejtëzës
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bosnia All Bosanski Crtanje pravih
heebrea All עברית ציר הגרפים
hiina (lihtsustatud) All 中文 (中国) 直线图形
hiina (trad.) All 中文 (台灣) Graphing Lines_描繪所有直線
Hindi All हिंदी रेखाओं का आलेख
hispaania All español Graficando Rectas
hispaania (Peruu) All español (Perú) Graficando Líneas
hollandi All Nederlands Rechten tekenen
iiri All Gaeilge Línte graif
itaalia All italiano Grafici lineari
jaapani All 日本語 一次関数のグラフ
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korea All 한국어 그래프에 선 그리기
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marathi All मराठी आलेखावर रेषा काढने
mongoli All Монгол (Монгол) Шулууны График
norra (bokmål) All Norsk bokmål Tegne Linjer
poola All polski Wykresy prostych
portugali (Brasiilia) All português (Brasil) Traçando Retas
prantsuse All français Traceur de droites
pärsia All فارسی رسم خطوط
rootsi All svenska Räta linjens ekvation 2
serbia All Српски Цртање правих
singali All Sinhalese සරල රේඛීය ප්‍රස්තාර
slovaki All Slovenčina Grafy lineárnej funkcie
sloveeni All Slovenščina Načrtovanje premic
soome All suomi Suorien piirtäminen
Spanish (Mexico) All español (México) Graficando Rectas
Spanish (Spain) All español (España) Representando rectas
Swahili All Swahili Mistari kwenye Graphu
taani All Dansk Tegning af rette linier
tamili All Tamil வரைபிடும் கோடுகள்
türgi All Türkçe Grafik Doğruları
ukraina All українська Графік лінійної функції
ungari All magyar Egyenesek ábrázolása
vene All русский Уравнение прямой
vietnami All Tiếng Việt Đồ thị Hàm tuyến tính

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