Graphing Lines

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 دابه‌زێن Embed داخستن Embed a running copy of this simulation Use this HTML to embed a running copy of this simulation. You can change the width and height of the embedded simulation by changing the "width" and "height" attributes in the HTML. Embed an image that will launch the simulation when clicked
بۆ به‌ڕێوه‌ بردن کلیک بکه‌
Use this HTML code to display a screenshot with the words "Click to Run". Graphing Linear Equations Lines Slope PhET پشتیوانی ئه بێ له لایه ن و فێرکارانێ وه ک ئێوه.
 Original Sim and Translations

ناوه‌ڕۆک

• 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!

Sample Learning Goals

• 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

 Overview of sim controls, model simplifications, and insights into student thinking ( PDF ).

Teacher-Submitted Activities

Games Remote Lesson ideas Trish Loeblein UG-Intro
MS
K-5
HS
Remote
HW
فیزیا
کیمیا
بیرکاری
Slope-Intercept Lesson and Activity Sheet Amanda McGarry HS
MS
Remote
Guided
بیرکاری
Slope and Speed (revised) Sarah Borenstein MS تاقیگه‌ فیزیا
بیرکاری
Exploring Slope and Speed Sarah Borenstein and Trish Loeblein MS تاقیگه‌
Guided
بیرکاری
فیزیا
Point-Slope Lesson and Activity Sheet Amanda McGarry MS
HS
Guided بیرکاری
Slope Lesson and Activity Sheet Amanda McGarry MS
HS
Guided بیرکاری
Using Transformations to Graph in Slope-Intercept Form Dana Alderman HS
MS
Guided بیرکاری
Similar Triangles and Slope Andrew Freeman MS Guided بیرکاری
Exploring parallel and perpendicular lines David Schenck MS
HS
تاقیگه‌
Guided
بیرکاری
Linear Equations in Slope-Intercept and Point-Slope Form using “Graphing Lines PhET Simulation” Enhui Chu HS
MS
Discuss
Guided
تاقیگه‌
بیرکاری
Making Sense of Slope Jim Freund MS Guided بیرکاری
Exploring Solving Systems of Linear Equations Mary Burr MS Discuss
Guided
بیرکاری
Go the Distance! Mary Burr MS Discuss
Guided
بیرکاری
How do PhET simulations fit in my middle school program? Sarah Borenstein MS دیکه‌ فیزیا
ژیناسی
زانستی زه‌وی
کیمیا
Middle School Math Sim Alignment Amanda McGarry MS دیکه‌ بیرکاری
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López HS
MS
دیکه‌ فیزیا
ژیناسی
بیرکاری
کیمیا
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López UG-Intro
HS
دیکه‌ کیمیا
بیرکاری
فیزیا
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López MS
K-5
تاقیگه‌
Demo
HW
Guided
Discuss
فیزیا
کیمیا
ئه‌ستێره‌ناسی
بیرکاری
Preguntas de razonamiento para todas las simulaciones HTML5 Diana López UG-Adv
K-5
HS
MS
UG-Intro
Discuss
HW
ئه‌ستێره‌ناسی
بیرکاری
کیمیا
فیزیا
MS and HS TEK to Sim Alignment Elyse Zimmer MS
HS
دیکه‌ کیمیا
ژیناسی
فیزیا
Physics Graphing and Introduction to Models Steve Banasiak HS HW
تاقیگه‌
فیزیا
Mapping of PhET and IBDP Physics Jaya Ramchandani HS دیکه‌ فیزیا
Equação e posição das retas Italândia Ferreira de Azevedo e Francisco Régis Vieira Alves HS تاقیگه‌ بیرکاری
Estudo da Reta Thamires Silva Aquino de Souza e Francisco Silva Aquino de Souza HS Guided بیرکاری
Gráficando Rectas, Gráficando Cuadráticas Andrés Gualberto Palomo Cuevas HS Remote
HW
بیرکاری
Explorando sistemas de ecuaciones lineales Mary Burr y Jeffrey Bush, traducido al español por Diana López MS
HS
Guided بیرکاری
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Design Team Third-party Libraries سوپاس بۆ
• 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
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• FileSaver-b8054a2.js
• font-awesome-4.5.0
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