Graphing Slope-Intercept
|
Download
Embed
Topics
- Slope-Intercept Form
- Graphing Linear Equations
Description
Explore slope-intercept form of a line. Connect the slope and y-intercept to the equation of the line. Challenge yourself in the line game!
Sample Learning Goals
- Graph a line given an equation in slope-intercept form.
- Write an equation in slope-intercept form given a graphed line.
- Predict how changing the values in a linear equation will affect the graphed line.
- Predict how changing the graphed line will affect the equation.
Standards Alignment
Common Core - Math
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.
Version 1.1.9
Teacher Tips
 |
Overview of sim controls, model simplifications, and insights into student thinking ( PDF ). |
Video Primer
Please sign in to watch the video primer
Teacher-Submitted Activities
| Games Remote Lesson ideas |
|
|
Trish Loeblein | K-5 HS UG-Intro MS |
Remote HW |
Chemistry Physics Mathematics |
| Slope-Intercept Lesson and Activity Sheet |
|
|
Amanda McGarry | HS MS |
Guided Remote |
Mathematics |
| Exploring Solving Systems of Linear Equations |
|
Mary Burr | MS | Discuss Guided |
Mathematics | |
| Middle School Math Sim Alignment |
|
Amanda McGarry | MS | Other | Mathematics | |
| Graphing Slope Intercept | Fernanda Saavedra | MS | Lab Guided |
Mathematics | ||
| GEOMETRIA ANALÍTICA ENVOLVENDO O ESTUDO DA RETA | Cícera Fernandes; Francisco Regis Vieira Alves | Other | Lab | Mathematics | ||
| PhET Lesson: Graphing Slope-Intercept | Carolyn Felknor | MS | Guided | Mathematics | ||
| Graphing Systems of Equations | Brock Atwood, Amanda Kurjak, Chelsea Tattershall | MS | Guided | Mathematics | ||
| Plano Cartesiano e Par Ordenado | Eugeniano Brito Martins | K-5 | HW Discuss Lab |
Mathematics | ||
| Pendiente-Intersección Lección y Hoja de Actividades |
|
Amanda McGarry (Traducción por Mayra Tavares) | MS HS |
Guided Remote |
Mathematics | |
| SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) |
|
Diana López | MS HS |
Other | Physics Biology Chemistry Mathematics |
|
| PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) |
|
Diana López | HS UG-Intro |
Other | Mathematics Physics Chemistry |
|
| Inclinação e Intersecção | Wagner Costa | HS | Discuss Guided Other |
Mathematics | ||
| Função do 1° grau | Rosalide Carvalho de Sousa e Francisco Régis Vieira Alves | HS | Other | Mathematics | ||
| Retas e seus conceitos | Italândia Ferreira de Azevedo e Francisco Régis Vieira Alves | HS | Lab | Mathematics | ||
| Estudo de Pontos no plano | Thamires Silva Aquino de Souza e Francisco Régis Vieira Alves | MS | Guided | Mathematics | ||
| Explorando sistemas de ecuaciones lineales | Mary Burr y Jeffrey Bush, traducido al español por Diana López | MS HS |
Guided | Mathematics |
HTML5 sims can run on iPads and Chromebooks, as well as PC, Mac, and Linux systems.
iPad:
iOS 12+ 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, latest version of Firefox, latest version of Google Chrome.
Macintosh Systems:
macOS 10.13+, Safari 13+, latest version of Chrome.
Linux Systems:
Not officially supported. Please contact phethelp@colorado.edu with troubleshooting issues.
| Design Team | Third-party Libraries | Thanks To |
|---|---|---|
|
|