Tegne Linjer
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Last ned
Innbygging
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Original simulering og oversettelser |
Innhold
- Tegne graf fra lineære ligninger
- Linjer
- Skråplan
Beskrivelse
Utforsk en verden av linjer. Undersøk sammenhengen mellom lineære ligninger, stigning og grafer av linjene. Utfordre deg selv i linjespillet!
Eksempel på læringsmål
- Forklar hvordan stigningen til en linje kan beregnes fra en graf.
- Tegn en linje gitt en ligning som på formen stigning-skjæringspunkt eller ettpunktsformel.
- Skriv en ligning som stigning-skjæringspunkt eller ettpunktsformel for en linje i en graf.
- Forutsi hvordan endring av variabler i en lineær likning vil påvirke grafen.
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.
Versjon 1.3.10
Lærertips
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Oversikt over sim-kontroller, modellforenklinger, og innsikt i elevenes tenkning ( PDF ). |
Video Primer
Please sign in to watch the video primer
Aktiviteter sendt inn av lærere
| Games Remote Lesson ideas |
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Trish Loeblein | Student - intro Ungdomsskole Barneskole vgs |
Lekse Remote |
Fysikk Matematikk Kjemi |
| Slope-Intercept Lesson and Activity Sheet |
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Amanda McGarry | vgs Ungdomsskole |
Remote Guided |
Matematikk |
| Slope and Speed (revised) |
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Sarah Borenstein | Ungdomsskole | Lab | Matematikk Fysikk |
| Exploring Slope and Speed |
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Sarah Borenstein and Trish Loeblein | Ungdomsskole | Lab Guided |
Fysikk Matematikk |
| Point-Slope Lesson and Activity Sheet |
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Amanda McGarry | vgs Ungdomsskole |
Guided | Matematikk |
| Slope Lesson and Activity Sheet |
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Amanda McGarry | vgs Ungdomsskole |
Guided | Matematikk |
| Preguntas de razonamiento para todas las simulaciones HTML5 |
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Diana López | vgs Ungdomsskole Student - avansert MSc/PhD Student - intro Barneskole |
Lekse Discuss |
Kjemi Matematikk Astronomi Fysikk |
| Using Transformations to Graph in Slope-Intercept Form |
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Dana Alderman | Ungdomsskole vgs |
Guided | Matematikk | |
| Similar Triangles and Slope |
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Andrew Freeman | Ungdomsskole | Guided | Matematikk | |
| Exploring parallel and perpendicular lines |
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David Schenck | Ungdomsskole vgs |
Lab Guided |
Matematikk | |
| Linear Equations in Slope-Intercept and Point-Slope Form using “Graphing Lines PhET Simulation” |
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Enhui Chu | vgs Ungdomsskole |
Lab Discuss Guided |
Matematikk | |
| Making Sense of Slope |
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Jim Freund | Ungdomsskole | Guided | Matematikk | |
| Exploring Solving Systems of Linear Equations |
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Mary Burr | Ungdomsskole | Discuss Guided |
Matematikk | |
| Go the Distance! |
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Mary Burr | Ungdomsskole | Discuss Guided |
Matematikk | |
| How do PhET simulations fit in my middle school program? |
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Sarah Borenstein | Ungdomsskole | Annet | Fysikk Biologi Kjemi Geofag |
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| Middle School Math Sim Alignment |
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Amanda McGarry | Ungdomsskole | Annet | Matematikk | |
| SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) |
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Diana López | Ungdomsskole vgs |
Annet | Kjemi Matematikk Biologi Fysikk |
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| PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) |
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Diana López | vgs Student - intro |
Annet | Matematikk Fysikk Kjemi |
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| PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) |
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Diana López | Barneskole Ungdomsskole |
Lab Discuss Demo Guided Lekse |
Fysikk Matematikk Astronomi Kjemi |
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| Physics Graphing and Introduction to Models | Steve Banasiak | vgs | Lab Lekse |
Fysikk | ||
| Mapping of PhET and IBDP Physics | Jaya Ramchandani | vgs | Annet | Fysikk | ||
| MS and HS TEK to Sim Alignment | Elyse Zimmer | vgs Ungdomsskole |
Annet | Fysikk Kjemi Biologi |
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| Equação e posição das retas | Italândia Ferreira de Azevedo e Francisco Régis Vieira Alves | vgs | Lab | Matematikk | ||
| Estudo da Reta | Thamires Silva Aquino de Souza e Francisco Silva Aquino de Souza | vgs | Guided | Matematikk | ||
| Gráficando Rectas, Gráficando Cuadráticas | Andrés Gualberto Palomo Cuevas | vgs | Lekse Remote |
Matematikk | ||
| Explorando sistemas de ecuaciones lineales | Mary Burr y Jeffrey Bush, traducido al español por Diana López | Ungdomsskole vgs |
Guided | Matematikk |
or Run 
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 10.12+, Safari 12+, latest version of Chrome.
Linux Systems:
Not officially supported. Please contact phethelp@colorado.edu with troubleshooting issues.
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