Γραφικές αναπαραστάσεις γραμμών
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Λήψη
Ενσωμάτωση
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Original Sim and Translations |
Περιεχόμενο
- Γραφικές γραμμικές εξισώσεις
- Lines
- Κλίση
Description
Explore the world of lines. Investigate the relationships between linear equations, slope, and graphs of lines. Challenge yourself in the line game!
Δείγμα μαθησιακών στόχων
- 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
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Το εγχειρίδιο του εκπαιδευτικού (pdf) περιέχει υποδείξεις που υποβλήθηκαν από την ομάδα του PhET. ( PDF ). |
Video Primer
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Teacher-Submitted Activities
| Games Remote Lesson ideas |
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Trish Loeblein | ΠΡ-Αρχ ΓΜ ΛΚ Κ-5 |
ΚΕ Remote |
Μαθηματικά Χημεία Φυσική |
| Slope-Intercept Lesson and Activity Sheet |
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Amanda McGarry | ΓΜ ΛΚ |
Guided Remote |
Μαθηματικά |
| Slope and Speed (revised) |
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Sarah Borenstein | ΓΜ | Εργ | Μαθηματικά Φυσική |
| Exploring Slope and Speed |
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Sarah Borenstein and Trish Loeblein | ΓΜ | Εργ Guided |
Φυσική Μαθηματικά |
| Point-Slope Lesson and Activity Sheet |
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Amanda McGarry | ΛΚ ΓΜ |
Guided | Μαθηματικά |
| Slope Lesson and Activity Sheet |
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Amanda McGarry | ΛΚ ΓΜ |
Guided | Μαθηματικά |
| Preguntas de razonamiento para todas las simulaciones HTML5 |
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Diana López | Κ-5 ΓΜ ΛΚ ΠΡ-Προ Πτυχ ΠΡ-Αρχ |
ΚΕ Discuss |
Μαθηματικά Φυσική Αστρονομία Χημεία |
| Using Transformations to Graph in Slope-Intercept Form |
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Dana Alderman | ΓΜ ΛΚ |
Guided | Μαθηματικά | |
| Similar Triangles and Slope |
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Andrew Freeman | ΓΜ | Guided | Μαθηματικά | |
| Exploring parallel and perpendicular lines |
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David Schenck | ΛΚ ΓΜ |
Εργ Guided |
Μαθηματικά | |
| Linear Equations in Slope-Intercept and Point-Slope Form using “Graphing Lines PhET Simulation” |
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Enhui Chu | ΓΜ ΛΚ |
Εργ Discuss Guided |
Μαθηματικά | |
| Making Sense of Slope |
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Jim Freund | ΓΜ | Guided | Μαθηματικά | |
| Exploring Solving Systems of Linear Equations |
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Mary Burr | ΓΜ | Discuss Guided |
Μαθηματικά | |
| Go the Distance! |
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Mary Burr | ΓΜ | Guided Discuss |
Μαθηματικά | |
| How do PhET simulations fit in my middle school program? |
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Sarah Borenstein | ΓΜ | Άλλο | Χημεία Βιολογία Φυσική Επιστήμη της Γης |
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| Middle School Math Sim Alignment |
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Amanda McGarry | ΓΜ | Άλλο | Μαθηματικά | |
| SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) |
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Diana López | ΓΜ ΛΚ |
Άλλο | Χημεία Μαθηματικά Φυσική Βιολογία |
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| PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) |
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Diana López | ΛΚ ΠΡ-Αρχ |
Άλλο | Χημεία Φυσική Μαθηματικά |
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| PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) |
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Diana López | ΓΜ Κ-5 |
Guided Εργ Επίδειξη ΚΕ Discuss |
Αστρονομία Χημεία Φυσική Μαθηματικά |
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| Physics Graphing and Introduction to Models | Steve Banasiak | ΛΚ | Εργ ΚΕ |
Φυσική | ||
| Mapping of PhET and IBDP Physics | Jaya Ramchandani | ΛΚ | Άλλο | Φυσική | ||
| MS and HS TEK to Sim Alignment | Elyse Zimmer | ΛΚ ΓΜ |
Άλλο | Φυσική Βιολογία Χημεία |
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| Gráficando Rectas, Gráficando Cuadráticas | Andrés Gualberto Palomo Cuevas | ΛΚ | Remote ΚΕ |
Μαθηματικά | ||
| Explorando sistemas de ecuaciones lineales | Mary Burr y Jeffrey Bush, traducido al español por Diana López | ΛΚ ΓΜ |
Guided | Μαθηματικά | ||
| Equação e posição das retas | Italândia Ferreira de Azevedo e Francisco Régis Vieira Alves | ΛΚ | Εργ | Μαθηματικά | ||
| Estudo da Reta | Thamires Silva Aquino de Souza e Francisco Silva Aquino de Souza | ΛΚ | Guided | Μαθηματικά |
Browse legacy activities.
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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