# 直线图形   下载 嵌入代码 关闭 嵌入模拟程序控制 你可以通过改变嵌入的代码改变程序的宽度和高度 插入一张图片，当点击这个图片时启动仿真程序。 初始仿真程序 以及翻译

• 图形的线性方程组
• 线条
• 倾斜

### 示范 学习目标

• 说明一个画直线的斜率可以计算。图线斜率截距给出的是点或坡形方程。用斜率截距或斜率一点方程的形式给出一个画线。预测如何改变变量的线性方程，将影响绘制线。

### 标准对齐

#### 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.

### 教师指南 仿真程序控制概述,简化模型,学生视角的思考 ( PDF ).

### 教师提交的活动

Games Remote Lesson ideas  Trish Loeblein 高中
K-5

Remote

Slope-Intercept Lesson and Activity Sheet  Amanda McGarry 高中

Remote

Slope and Speed (revised)  Sarah Borenstein 初中 实验室 数学

Exploring Slope and Speed  Sarah Borenstein and Trish Loeblein 初中 实验室

Point-Slope Lesson and Activity Sheet  Amanda McGarry 高中

Slope Lesson and Activity Sheet  Amanda McGarry 高中

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

Similar Triangles and Slope Andrew Freeman 初中 指导 数学
Exploring parallel and perpendicular lines David Schenck 初中

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

Making Sense of Slope Jim Freund 初中 指导 数学
Exploring Solving Systems of Linear Equations Mary Burr 初中 讨论

Go the Distance! Mary Burr 初中 指导

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

PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López 高中

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

Preguntas de razonamiento para todas las simulaciones HTML5 Diana López 本科生-高级

K-5

How do PhET simulations fit in my middle school program? Sarah Borenstein 初中 其它 生物学

Middle School Math Sim Alignment Amanda McGarry 初中 其它 数学
Equação e posição das retas Italândia Ferreira de Azevedo e Francisco Régis Vieira Alves 高中 实验室 数学
Estudo da Reta Thamires Silva Aquino de Souza e Francisco Silva Aquino de Souza 高中 指导 数学
Gráficando Rectas, Gráficando Cuadráticas Andrés Gualberto Palomo Cuevas 高中 家庭作业
Remote

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

MS and HS TEK to Sim Alignment Elyse Zimmer 初中

Physics Graphing and Introduction to Models Steve Banasiak 高中 家庭作业

Mapping of PhET and IBDP Physics Jaya Ramchandani 高中 其它 物理学

### HTML5 程序：

iOS 8+ Safari

Android:

Chromebook:

Windows 系统:

Macintosh 系统:
OS 10.9.5 或之后的系统版本，Safari 9+版本，或者火狐浏览器，谷歌浏览器的最新版本均支持我们的程序。

Linux 系统:

### Java and Flash 程序：

Java 与 Flash程序可以在PC端，mac端，及linux系统上运行。具体的系统配置要求如下：

Windows 系统:
Windows 10, 8.1, 7

Macintosh 系统:
Mac OS X 10.9.5+

64位浏览器（例如Safari，火狐，谷歌等）

Linux 系统:
Oracle Linux 5.5+1
Oracle Linux 6.x (32位), 6.x (64位)2
Oracle Linux 7.x (64位)2
Red Hat Enterprise Linux 5.5+1, 6.x (32位), 6.x (64位)2
Ubuntu Linux 12.04 LTS, 13.x
Suse Linux Enterprise Server 10 SP2+, 11.x

• Chris Malley (developer)
• Bryce Gruneich
• Karina Hensberry
• Patricia Loeblein
• Amanda McGarry
• Kathy Perkins
• Sharon Siman-Tov (graphic arts)
• almond-0.2.9.js
• base64-js-1.2.0.js
• FileSaver-b8054a2.js
• font-awesome-4.5.0
• game-up-camera-1.0.0.js
• he-1.1.1.js
• himalaya-0.2.7.js
• jama-1.0.2
• jquery-2.1.0.js
• lodash-4.17.4.js
• pegjs-0.7.0.js
• seedrandom-2.4.2.js
• text-2.0.12.js
• TextEncoderLite-3c9f6f0.js