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数学-数学概念:绘图:斜率与截距
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关于此实验

主题

  • 斜截式
  • 图形的线性方程组

描述

探索直线的斜截式。建立斜率、y轴上的截距与直线方程的关系。在关于直线的游戏中挑战自己。

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.
版本 1.1.9

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