Suorien piirtäminen

Suorien piirtäminen kuvakaappaus  Lataa  Upota
  • Graphing Linear Equations
  • Lines
  • Slope
Java Logo Original Sim and Translations

Sisältö

  • 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!

Esimerkkejä oppimistavoitteista

  • 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

Opettajan opas (pdf) sisältää PhET-tiimin vinkkejä. ( PDF ).

Video Primer

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Teacher-Submitted Activities

Games Remote Lesson ideas A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Trish Loeblein YK
UG-Intro
K-5
L
Kotiteht
Remote
Fysiikka
Matematiikka
Kemia
Slope-Intercept Lesson and Activity Sheet A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Amanda McGarry YK
L
Remote
Guided
Matematiikka
Slope and Speed (revised) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Sarah Borenstein YK Labra Matematiikka
Fysiikka
Exploring Slope and Speed A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Sarah Borenstein and Trish Loeblein YK Guided
Labra
Matematiikka
Fysiikka
Point-Slope Lesson and Activity Sheet A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Amanda McGarry YK
L
Guided Matematiikka
Slope Lesson and Activity Sheet A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Amanda McGarry YK
L
Guided Matematiikka
Using Transformations to Graph in Slope-Intercept Form A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Dana Alderman L
YK
Guided Matematiikka
Similar Triangles and Slope A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Andrew Freeman YK Guided Matematiikka
Exploring parallel and perpendicular lines A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. David Schenck YK
L
Labra
Guided
Matematiikka
Linear Equations in Slope-Intercept and Point-Slope Form using “Graphing Lines PhET Simulation” A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Enhui Chu L
YK
Labra
Guided
Discuss
Matematiikka
Making Sense of Slope A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Jim Freund YK Guided Matematiikka
Exploring Solving Systems of Linear Equations A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Mary Burr YK Discuss
Guided
Matematiikka
Go the Distance! A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Mary Burr YK Discuss
Guided
Matematiikka
How do PhET simulations fit in my middle school program? This contribution was designed by PhET. Sarah Borenstein YK Muu Kemia
Biologia
Maantiede
Fysiikka
Middle School Math Sim Alignment This contribution was designed by PhET. Amanda McGarry YK Muu Matematiikka
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) This contribution was designed by PhET. Diana López L
YK
Muu Biologia
Matematiikka
Fysiikka
Kemia
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) This contribution was designed by PhET. Diana López UG-Intro
L
Muu Matematiikka
Fysiikka
Kemia
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) This contribution was designed by PhET. Diana López YK
K-5
Demo
Discuss
Guided
Labra
Kotiteht
Fysiikka
Astronomia
Kemia
Matematiikka
Preguntas de razonamiento para todas las simulaciones HTML5 This contribution was designed by PhET. Diana López K-5
UG-Intro
Grad
YK
UG-Adv
L
Kotiteht
Discuss
Kemia
Fysiikka
Matematiikka
Astronomia
MS and HS TEK to Sim Alignment Elyse Zimmer YK
L
Muu Fysiikka
Biologia
Kemia
Physics Graphing and Introduction to Models Steve Banasiak L Kotiteht
Labra
Fysiikka
Mapping of PhET and IBDP Physics Jaya Ramchandani L Muu Fysiikka
Gráficando Rectas, Gráficando Cuadráticas Andrés Gualberto Palomo Cuevas L Remote
Kotiteht
Matematiikka
Explorando sistemas de ecuaciones lineales Mary Burr y Jeffrey Bush, traducido al español por Diana López YK
L
Guided Matematiikka
Equação e posição das retas Italândia Ferreira de Azevedo e Francisco Régis Vieira Alves L Labra Matematiikka
Estudo da Reta Thamires Silva Aquino de Souza e Francisco Silva Aquino de Souza L Guided Matematiikka

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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:
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Macintosh Systems:
macOS 10.13+, Safari 13+, latest version of Chrome.

Linux Systems:
Not officially supported. Please contact phethelp@colorado.edu with troubleshooting issues.

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