Graphing Lines
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Topics
- 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 1.3.0
Teacher Tips
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Overview of sim controls, model simplifications, and insights into student thinking ( PDF ). |
Video Primer
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Teacher-Submitted Activities
| Title |
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Authors | Level | Type | Subject |
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| Slope-Intercept Lesson and Activity Sheet |
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Amanda McGarry | HS MS |
Guided | Mathematics |
| Slope and Speed (revised) |
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Sarah Borenstein | MS | Lab | Physics Mathematics |
| Exploring Slope and Speed |
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Sarah Borenstein and Trish Loeblein | MS | Guided Lab |
Mathematics Physics |
| Point-Slope Lesson and Activity Sheet |
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Amanda McGarry | MS HS |
Guided | Mathematics |
| Slope Lesson and Activity Sheet |
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Amanda McGarry | HS MS |
Guided | Mathematics |
| Linear Equations in Slope-Intercept and Point-Slope Form using “Graphing Lines PhET Simulation” |
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Enhui Chu | MS HS |
Lab Guided Discuss |
Mathematics | |
| Making Sense of Slope |
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Jim Freund | MS | Guided | Mathematics | |
| Exploring Solving Systems of Linear Equations |
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Mary Burr | MS | Guided Discuss |
Mathematics | |
| Go the Distance! |
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Mary Burr | MS | Guided Discuss |
Mathematics | |
| Alignment of PhET sims with NGSS |
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Trish Loeblein | HS | Other | Biology Chemistry Physics Earth Science |
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| How do PhET simulations fit in my middle school program? |
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Sarah Borenstein | MS | Other | Physics Chemistry Earth Science Biology |
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| CCSS Math Alignment with Sims |
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Amanda McGarry | HS K-5 MS |
Other | Mathematics | |
| MS and HS TEK to Sim Alignment | Elyse Zimmer | HS MS |
Other | Physics Chemistry Biology |
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| Preguntas de razonamiento para todas las simulaciones HTML5 |
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Diana López | MS Grad UG-Intro UG-Adv K-5 HS |
HW Discuss |
Astronomy Chemistry Physics Mathematics |
| Equação e posição das retas | Italândia Ferreira de Azevedo e Francisco Régis Vieira Alves | HS | Lab | Mathematics | ||
| Estudo da Reta | Thamires Silva Aquino de Souza e Francisco Silva Aquino de Souza | HS | Guided | Mathematics | ||
| Explorando sistemas de ecuaciones lineales | Mary Burr y Jeffrey Bush, traducido al español por Diana López | MS HS |
Guided | Mathematics |
Browse legacy activities.
The new HTML5 sims can run on iPads and Chromebooks, as well as PC, Mac, and Linux systems.
iPad:
iOS 11+ Safari
iPad compatible sims
Android:
Not officially supported. If you are using the HTML5 sims on Android, we recommend using the latest version of Google Chrome.
Chromebook:
Latest version of Google Chrome
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims
Windows Systems:
Microsoft Edge and Internet Explorer 11, latest version of Firefox, latest version of Google Chrome.
Macintosh Systems:
macOS 10.9.5+, Safari 9+, latest version of Firefox, latest version of Chrome.
Linux Systems:
Not officially supported. Please contact phethelp@colorado.edu with troubleshooting issues.
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