Graphing Lines

See simulatsioon pole veel sellesse keelde tõlgitud. Ingliskeelne versioon on saadaval allpool.

Graphing Lines Ekraanipilt  Lae alla  Manusta
  • Graphing Linear Equations
  • Lines
  • Slope
Java Logo Original Sim and Translations

Sisu

  • 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!

Näidis-õpieesmärgid

  • 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

Õpetajate juhend (pdf) sisaldab PhETi poolt loodud nõuandeid. ( 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. Selle kaastöö koostas PhET. Trish Loeblein ÜÕ-Sissejuhatus
K-5
PK
KK
KT
Remote
Matemaatika
Keemia
Füüsika
Slope-Intercept Lesson and Activity Sheet A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Selle kaastöö koostas PhET. Amanda McGarry PK
KK
Guided
Remote
Matemaatika
Slope and Speed (revised) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Selle kaastöö koostas PhET. Sarah Borenstein PK Pr Matemaatika
Füüsika
Exploring Slope and Speed A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Selle kaastöö koostas PhET. Sarah Borenstein and Trish Loeblein PK Guided
Pr
Matemaatika
Füüsika
Point-Slope Lesson and Activity Sheet A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Selle kaastöö koostas PhET. Amanda McGarry PK
KK
Guided Matemaatika
Slope Lesson and Activity Sheet A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Selle kaastöö koostas PhET. Amanda McGarry KK
PK
Guided Matemaatika
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 PK
KK
Guided Matemaatika
Similar Triangles and Slope A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Andrew Freeman PK Guided Matemaatika
Exploring parallel and perpendicular lines A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. David Schenck KK
PK
Pr
Guided
Matemaatika
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 PK
KK
Discuss
Pr
Guided
Matemaatika
Making Sense of Slope A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Jim Freund PK Guided Matemaatika
Exploring Solving Systems of Linear Equations A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Mary Burr PK Guided
Discuss
Matemaatika
Go the Distance! A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Mary Burr PK Discuss
Guided
Matemaatika
How do PhET simulations fit in my middle school program? Selle kaastöö koostas PhET. Sarah Borenstein PK Muu Maateadus
Bioloogia
Füüsika
Keemia
Middle School Math Sim Alignment Selle kaastöö koostas PhET. Amanda McGarry PK Muu Matemaatika
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Selle kaastöö koostas PhET. Diana López PK
KK
Muu Matemaatika
Füüsika
Bioloogia
Keemia
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Selle kaastöö koostas PhET. Diana López ÜÕ-Sissejuhatus
KK
Muu Keemia
Füüsika
Matemaatika
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Selle kaastöö koostas PhET. Diana López K-5
PK
KT
Demo
Discuss
Guided
Pr
Füüsika
Matemaatika
Astronoomia
Keemia
Preguntas de razonamiento para todas las simulaciones HTML5 Selle kaastöö koostas PhET. Diana López ÜÕ-Sissejuhatus
PK
L
ÜÕ-Kõrgem tase
K-5
KK
KT
Discuss
Matemaatika
Keemia
Füüsika
Astronoomia
MS and HS TEK to Sim Alignment Elyse Zimmer PK
KK
Muu Keemia
Füüsika
Bioloogia
Physics Graphing and Introduction to Models Steve Banasiak KK KT
Pr
Füüsika
Mapping of PhET and IBDP Physics Jaya Ramchandani KK Muu Füüsika
Equação e posição das retas Italândia Ferreira de Azevedo e Francisco Régis Vieira Alves KK Pr Matemaatika
Estudo da Reta Thamires Silva Aquino de Souza e Francisco Silva Aquino de Souza KK Guided Matemaatika
Gráficando Rectas, Gráficando Cuadráticas Andrés Gualberto Palomo Cuevas KK Remote
KT
Matemaatika
Explorando sistemas de ecuaciones lineales Mary Burr y Jeffrey Bush, traducido al español por Diana López PK
KK
Guided Matemaatika

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