# Graphing Slope-Intercept_圖形的斜率與截距

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### 標題

• Slope-Intercept Form
• Graphing Linear Equations

### 描述

Explore slope-intercept form of a line. Connect the slope and y-intercept to the equation of the line. Challenge yourself in the line game!

### 學習目標

• 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.

### 標準對齊

#### 共用核心 - 數學

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 大學-簡介
K-5

Remote

Slope-Intercept Lesson and Activity Sheet Amanda McGarry 高中

Remote

Exploring Solving Systems of Linear Equations 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 高中

Middle School Math Sim Alignment Amanda McGarry 國中 其它 數學
Explorando sistemas de ecuaciones lineales Mary Burr y Jeffrey Bush, traducido al español por Diana López 國中

Graphing Slope Intercept Fernanda Saavedra 國中 指引

GEOMETRIA ANALÍTICA ENVOLVENDO O ESTUDO DA RETA Cícera Fernandes; Francisco Regis Vieira Alves 其他 實驗室 數學
PhET Lesson: Graphing Slope-Intercept Carolyn Felknor 國中 指引 數學
Graphing Systems of Equations Brock Atwood, Amanda Kurjak, Chelsea Tattershall 國中 指引 數學
Plano Cartesiano e Par Ordenado Eugeniano Brito Martins K-5 討論

Inclinação e Intersecção Wagner Costa 高中 其它

Função do 1° grau Rosalide Carvalho de Sousa e Francisco Régis Vieira Alves 高中 其它 數學
Retas e seus conceitos Italândia Ferreira de Azevedo e Francisco Régis Vieira Alves 高中 實驗室 數學
Estudo de Pontos no plano Thamires Silva Aquino de Souza e Francisco Régis Vieira Alves 國中 指引 數學

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