# 绘图:斜率与截距

 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。

• 斜截式
• 图形的线性方程组

### 示范 学习目标

• Graph a line given an equation in slope-intercept form.
• Write an equation in slope-intercept form given a graphed line.
• Predict how changing the values in a linear equation will affect the graphed line.
• Predict how changing the graphed line will affect the equation.

### 标准对齐

#### Common Core - Math

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.

### 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 初中
K-5

Remote

Slope-Intercept Lesson and Activity Sheet Amanda McGarry 高中

Remote

Exploring Solving Systems of Linear Equations Mary Burr 初中 讨论

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

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

Middle School Math Sim Alignment Amanda McGarry 初中 其它 数学
Inclinação e Intersecção Wagner Costa 高中 指导

Função do 1° grau Rosalide Carvalho de Sousa e Francisco Régis Vieira Alves 高中 其它 数学
Retas e seus conceitos Italândia Ferreira de Azevedo e Francisco Régis Vieira Alves 高中 实验室 数学
Estudo de Pontos no plano Thamires Silva Aquino de Souza e Francisco Régis Vieira Alves 初中 指导 数学
Explorando sistemas de ecuaciones lineales Mary Burr y Jeffrey Bush, traducido al español por Diana López 初中

Graphing Slope Intercept Fernanda Saavedra 初中 指导

GEOMETRIA ANALÍTICA ENVOLVENDO O ESTUDO DA RETA Cícera Fernandes; Francisco Regis Vieira Alves 其他 实验室 数学
PhET Lesson: Graphing Slope-Intercept Carolyn Felknor 初中 指导 数学
Graphing Systems of Equations Brock Atwood, Amanda Kurjak, Chelsea Tattershall 初中 指导 数学
Plano Cartesiano e Par Ordenado Eugeniano Brito Martins K-5 家庭作业

### 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

• Amanda McGarry (lead)
• Ariel Paul (lead)
• Chris Malley (developer)
• Bryce Gruneich
• Karina Hensberry
• Patricia Loeblein
• 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