Graphing Lines

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Graphing Lines وێنه‌ی شاشه‌  دابه‌زێن  Embed
  • Graphing Linear Equations
  • Lines
  • Slope
Java Logo 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.
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 1.3.7

Teacher Tips

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

Video Primer

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Teacher-Submitted Activities

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 HS
MS
Guided بیرکاری
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 MS تاقیگه‌ فیزیا
بیرکاری
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 MS تاقیگه‌
Guided
بیرکاری
فیزیا
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 HS
MS
Guided بیرکاری
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 MS
HS
Guided بیرکاری
Preguntas de razonamiento para todas las simulaciones HTML5 A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Diana López MS
HS
Grad
K-5
UG-Intro
UG-Adv
Discuss
HW
بیرکاری
فیزیا
کیمیا
ئه‌ستێره‌ناسی
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 MS
HS
Guided بیرکاری
Similar Triangles and Slope A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Andrew Freeman MS Guided بیرکاری
Exploring parallel and perpendicular lines A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. David Schenck MS
HS
Guided
تاقیگه‌
بیرکاری
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 MS
HS
Guided
تاقیگه‌
Discuss
بیرکاری
Making Sense of Slope A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Jim Freund MS Guided بیرکاری
Exploring Solving Systems of Linear Equations A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Mary Burr MS Guided
Discuss
بیرکاری
Go the Distance! A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Mary Burr MS Guided
Discuss
بیرکاری
Alignment of PhET sims with NGSS This contribution was designed by PhET. Trish Loeblein HS دیکه‌ کیمیا
زانستی زه‌وی
ژیناسی
فیزیا
How do PhET simulations fit in my middle school program? This contribution was designed by PhET. Sarah Borenstein MS دیکه‌ زانستی زه‌وی
ژیناسی
فیزیا
کیمیا
CCSS Math Alignment with Sims This contribution was designed by PhET. Amanda McGarry HS
K-5
MS
دیکه‌ بیرکاری
Mapping of PhET and IBDP Physics Jaya Ramchandani HS دیکه‌ فیزیا
MS and HS TEK to Sim Alignment Elyse Zimmer HS
MS
دیکه‌ کیمیا
ژیناسی
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
Explorando sistemas de ecuaciones lineales Mary Burr y Jeffrey Bush, traducido al español por Diana López HS
MS
Guided بیرکاری

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

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

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

Windows Systems:
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Macintosh Systems:
macOS 10.9.5+, Safari 9+, latest version of Chrome.

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

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
  • 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