Graphing Lines

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Graphing Lines Captura de Pantalla  Baixar  Insertar
  • Graphing Linear Equations
  • Lines
  • Slope
Java Logo Original Sim and Translations

Contidos

  • 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!

Obxectivos de Aprendizaxe

  • 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

A guía de profesores (pdf) contén consellos creados polo equipo PhET. ( 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. Esta contribución foi deseñada por PhET. Trish Loeblein S.O.
U-Inicio
BAC
11
Deb
Remote
Física
Química
Matemáticas
Slope-Intercept Lesson and Activity Sheet A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Esta contribución foi deseñada por PhET. Amanda McGarry S.O.
BAC
Guided
Remote
Matemáticas
Slope and Speed (revised) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Esta contribución foi deseñada por PhET. Sarah Borenstein S.O. Lab Física
Matemáticas
Exploring Slope and Speed A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Esta contribución foi deseñada por PhET. Sarah Borenstein and Trish Loeblein S.O. Lab
Guided
Matemáticas
Física
Point-Slope Lesson and Activity Sheet A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Esta contribución foi deseñada por PhET. Amanda McGarry BAC
S.O.
Guided Matemáticas
Slope Lesson and Activity Sheet A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Esta contribución foi deseñada por PhET. Amanda McGarry S.O.
BAC
Guided Matemáticas
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 BAC
S.O.
Guided Matemáticas
Similar Triangles and Slope A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Andrew Freeman S.O. Guided Matemáticas
Exploring parallel and perpendicular lines A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. David Schenck S.O.
BAC
Lab
Guided
Matemáticas
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 BAC
S.O.
Lab
Discuss
Guided
Matemáticas
Making Sense of Slope A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Jim Freund S.O. Guided Matemáticas
Exploring Solving Systems of Linear Equations A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Mary Burr S.O. Discuss
Guided
Matemáticas
Go the Distance! A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Mary Burr S.O. Guided
Discuss
Matemáticas
How do PhET simulations fit in my middle school program? Esta contribución foi deseñada por PhET. Sarah Borenstein S.O. Outro Química
Física
Ciencias da Terra
Bioloxía
Middle School Math Sim Alignment Esta contribución foi deseñada por PhET. Amanda McGarry S.O. Outro Matemáticas
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Esta contribución foi deseñada por PhET. Diana López S.O.
BAC
Outro Química
Matemáticas
Física
Bioloxía
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Esta contribución foi deseñada por PhET. Diana López U-Inicio
BAC
Outro Física
Química
Matemáticas
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Esta contribución foi deseñada por PhET. Diana López 11
S.O.
Lab
Demo
Guided
Deb
Discuss
Química
Física
Matemáticas
Astronomía
Preguntas de razonamiento para todas las simulaciones HTML5 Esta contribución foi deseñada por PhET. Diana López BAC
S.O.
U-Inicio
Grad
11
U-Av
Discuss
Deb
Astronomía
Matemáticas
Química
Física
MS and HS TEK to Sim Alignment Elyse Zimmer S.O.
BAC
Outro Física
Bioloxía
Química
Physics Graphing and Introduction to Models Steve Banasiak BAC Lab
Deb
Física
Mapping of PhET and IBDP Physics Jaya Ramchandani BAC Outro Física
Equação e posição das retas Italândia Ferreira de Azevedo e Francisco Régis Vieira Alves BAC Lab Matemáticas
Estudo da Reta Thamires Silva Aquino de Souza e Francisco Silva Aquino de Souza BAC Guided Matemáticas
Gráficando Rectas, Gráficando Cuadráticas Andrés Gualberto Palomo Cuevas BAC Remote
Deb
Matemáticas
Explorando sistemas de ecuaciones lineales Mary Burr y Jeffrey Bush, traducido al español por Diana López BAC
S.O.
Guided Matemáticas

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HTML5 sims can run on iPads and Chromebooks, as well as PC, Mac, and Linux systems.

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