# Graphing Lines

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Rulează
Folosiţi acest cod sursă pentru afişarea "Rulează" Reprezentarea grafică a ecuaţiilor liniare Linii Pantă PhET is supported by and educators like you.

### Subiecte

• Reprezentarea grafică a ecuaţiilor liniare
• Linii
• Pantă

### Descriere

Explore the world of lines. Investigate the relationships between linear equations, slope, and graphs of lines. Challenge yourself in the line game!

### Studii de caz

• 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.
Versiune 1.3.10

### Sfaturi pentru profesori

 Ghidul profesorului conține un sumar al elementelor de control ale simulării, modelul ideal, perspective asupra gândirii elevilor ( PDF ).

### Video Primer

Autentificare pentru a urmări video primer

### Activități ale profesorilor

Games Remote Lesson ideas Trish Loeblein K-5
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Slope-Intercept Lesson and Activity Sheet Amanda McGarry HS
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Slope and Speed (revised) Sarah Borenstein MS Lab Physics
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Exploring Slope and Speed Sarah Borenstein and Trish Loeblein MS Guided
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Point-Slope Lesson and Activity Sheet Amanda McGarry MS
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Slope Lesson and Activity Sheet Amanda McGarry HS
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Using Transformations to Graph in Slope-Intercept Form Dana Alderman HS
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Similar Triangles and Slope Andrew Freeman MS Guided Mathematics
Exploring parallel and perpendicular lines David Schenck MS
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Linear Equations in Slope-Intercept and Point-Slope Form using “Graphing Lines PhET Simulation” Enhui Chu HS
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Making Sense of Slope Jim Freund MS Guided Mathematics
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How do PhET simulations fit in my middle school program? Sarah Borenstein MS Other Biology
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Middle School Math Sim Alignment Amanda McGarry MS Other Mathematics
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López MS
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PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López UG-Intro
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PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López K-5
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Preguntas de razonamiento para todas las simulaciones HTML5 Diana López K-5
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Chemistry
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MS and HS TEK to Sim Alignment Elyse Zimmer HS
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Physics Graphing and Introduction to Models Steve Banasiak HS HW
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Mapping of PhET and IBDP Physics Jaya Ramchandani HS Other Physics
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
Gráficando Rectas, Gráficando Cuadráticas Andrés Gualberto Palomo Cuevas HS Remote
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Explorando sistemas de ecuaciones lineales Mary Burr y Jeffrey Bush, traducido al español por Diana López MS
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