# Graphing Lines_描繪所有直線

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 原始模擬教學與翻譯

### 標題

• Graphing Linear Equations
• Lines
• Slope

HTML5 版本之翻譯：

### 學習目標

• 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.

### 標準對齊

#### 共用核心 - 數學

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.

### 教學提示

 模擬教學的控制概觀、模型簡化與引導學生思考 ( PDF ).

### 老師提供的活動

Games Remote Lesson ideas Trish Loeblein 高中

K-5

Remote

Slope-Intercept Lesson and Activity Sheet Amanda McGarry 國中

Remote

Slope and Speed (revised) Sarah Borenstein 國中 實驗室 物理

Exploring Slope and Speed Sarah Borenstein and Trish Loeblein 國中 指引

Point-Slope Lesson and Activity Sheet Amanda McGarry 國中

Slope Lesson and Activity Sheet Amanda McGarry 國中

Using Transformations to Graph in Slope-Intercept Form Dana Alderman 高中

Similar Triangles and Slope Andrew Freeman 國中 指引 數學
Exploring parallel and perpendicular lines David Schenck 國中

Linear Equations in Slope-Intercept and Point-Slope Form using “Graphing Lines PhET Simulation” Enhui Chu 國中

Making Sense of Slope Jim Freund 國中 指引 數學
Exploring Solving Systems of Linear Equations Mary Burr 國中 指引

Go the Distance! Mary Burr 國中 指引

SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López 國中

PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López 大學-簡介

PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López 國中
K-5

Preguntas de razonamiento para todas las simulaciones HTML5 Diana López 大學-簡介

K-5

How do PhET simulations fit in my middle school program? Sarah Borenstein 國中 其它 地球科學

Middle School Math Sim Alignment Amanda McGarry 國中 其它 數學
Gráficando Rectas, Gráficando Cuadráticas Andrés Gualberto Palomo Cuevas 高中 Remote

Explorando sistemas de ecuaciones lineales Mary Burr y Jeffrey Bush, traducido al español por Diana López 國中

MS and HS TEK to Sim Alignment Elyse Zimmer 國中

Physics Graphing and Introduction to Models Steve Banasiak 高中 作業

Mapping of PhET and IBDP Physics Jaya Ramchandani 高中 其它 物理
Equação e posição das retas Italândia Ferreira de Azevedo e Francisco Régis Vieira Alves 高中 實驗室 數學
Estudo da Reta Thamires Silva Aquino de Souza e Francisco Silva Aquino de Souza 高中 指引 數學

Norwegian Bokmal 全部 Norsk bokmål Tegne Linjer
Serbian 全部 Српски Цртање правих
Sinhalese 全部 Sinhalese සරල රේඛීය ප්‍රස්තාර
Swahili 全部 Swahili Mistari kwenye Graphu
Tamil 全部 Tamil வரைபிடும் கோடுகள்

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

iOS 12+ Safari

Android:
Not officially supported. If you are using the HTML5 sims on Android, we recommend using the latest version of Google Chrome.

Chromebook:
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims

Windows Systems:

Macintosh Systems:

Linux Systems:

• Chris Malley (developer)
• Bryce Gruneich
• Karina Hensberry
• Patricia Loeblein
• Amanda McGarry
• Kathy Perkins
• Sharon Siman-Tov (graphic arts)
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