Grafik Doğruları

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  • Graphing Linear Equations
  • Lines
  • Slope
Java Logo Original Sim and Translations

İçerik

  • 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!

Örnek Öğrenim Hedefleri

  • 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

Öğretmen el kitabı (pdf) Phet ekibi tarafından oluşturulan ipuçları içerir. ( 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. Bu katkı PhET tarafından tasarlanmıştır. Trish Loeblein K-5
Ortaokul
Lisans-Giriş
Lİse
Ödev
Remote
Kimya
Matematik
Fizik
Slope-Intercept Lesson and Activity Sheet A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Bu katkı PhET tarafından tasarlanmıştır. Amanda McGarry Ortaokul
Lİse
Remote
Guided
Matematik
Slope and Speed (revised) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Bu katkı PhET tarafından tasarlanmıştır. Sarah Borenstein Ortaokul Laboratuvar Fizik
Matematik
Exploring Slope and Speed A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Bu katkı PhET tarafından tasarlanmıştır. Sarah Borenstein and Trish Loeblein Ortaokul Guided
Laboratuvar
Matematik
Fizik
Point-Slope Lesson and Activity Sheet A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Bu katkı PhET tarafından tasarlanmıştır. Amanda McGarry Ortaokul
Lİse
Guided Matematik
Slope Lesson and Activity Sheet A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Bu katkı PhET tarafından tasarlanmıştır. Amanda McGarry Lİse
Ortaokul
Guided Matematik
Preguntas de razonamiento para todas las simulaciones HTML5 A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Bu katkı PhET tarafından tasarlanmıştır. Diana López Lisans-İleri
Lisans-Giriş
K-5
Ortaokul
Mezun
Lİse
Discuss
Ödev
Fizik
Matematik
Astronomi
Kimya
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 Ortaokul
Lİse
Guided Matematik
Similar Triangles and Slope A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Andrew Freeman Ortaokul Guided Matematik
Exploring parallel and perpendicular lines A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. David Schenck Ortaokul
Lİse
Laboratuvar
Guided
Matematik
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 Lİse
Ortaokul
Laboratuvar
Discuss
Guided
Matematik
Making Sense of Slope A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Jim Freund Ortaokul Guided Matematik
Exploring Solving Systems of Linear Equations A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Mary Burr Ortaokul Guided
Discuss
Matematik
Go the Distance! A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Mary Burr Ortaokul Discuss
Guided
Matematik
How do PhET simulations fit in my middle school program? Bu katkı PhET tarafından tasarlanmıştır. Sarah Borenstein Ortaokul Diğer Kimya
Fizik
Yer Bilimleri
Biyoloji
Middle School Math Sim Alignment Bu katkı PhET tarafından tasarlanmıştır. Amanda McGarry Ortaokul Diğer Matematik
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Bu katkı PhET tarafından tasarlanmıştır. Diana López Lİse
Ortaokul
Diğer Fizik
Biyoloji
Matematik
Kimya
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Bu katkı PhET tarafından tasarlanmıştır. Diana López Lisans-Giriş
Lİse
Diğer Fizik
Kimya
Matematik
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Bu katkı PhET tarafından tasarlanmıştır. Diana López Ortaokul
K-5
Ödev
Discuss
Laboratuvar
Gösteri
Guided
Fizik
Astronomi
Kimya
Matematik
Physics Graphing and Introduction to Models Steve Banasiak Lİse Laboratuvar
Ödev
Fizik
Mapping of PhET and IBDP Physics Jaya Ramchandani Lİse Diğer Fizik
MS and HS TEK to Sim Alignment Elyse Zimmer Lİse
Ortaokul
Diğer Kimya
Fizik
Biyoloji
Equação e posição das retas Italândia Ferreira de Azevedo e Francisco Régis Vieira Alves Lİse Laboratuvar Matematik
Estudo da Reta Thamires Silva Aquino de Souza e Francisco Silva Aquino de Souza Lİse Guided Matematik
Gráficando Rectas, Gráficando Cuadráticas Andrés Gualberto Palomo Cuevas Lİse Ödev
Remote
Matematik
Explorando sistemas de ecuaciones lineales Mary Burr y Jeffrey Bush, traducido al español por Diana López Ortaokul
Lİse
Guided Matematik

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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:
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.

Tasarım Ekibi Harici Kütüphaneler Sayesinde
  • Ariel Paul (lead)
  • Chris Malley (developer)
  • Bryce Gruneich
  • Karina Hensberry
  • Patricia Loeblein
  • Amanda McGarry
  • Kathy Perkins
  • Sharon Siman-Tov (graphic arts)
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