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Course, Subject

Algebra I (Next Generation), Algebra II (Next Generation), Math, Science & Technology, Mathematics (NYS P-12 Next Generation)

Virtual Manipulative

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Description

This interactive web-based practice allows the user to explore the relationship between slope and intercept in the Cartesian coordinate system.

The applet allows the manipulation of a linear function of the form f(x) = mx + b. Using slider bars, one can manipulate the line and a point along the line.

Content Provider

The Shodor Foundation is a non-profit research and education organization dedicated to the advancement of science and math education, specifically through the use of modeling and simulation technologies. For more information, please visit www.shodor.org.

Related Academic Standards

New York State

NY-6.EE.9 Use variables to represent two quantities in a real-world problem that change in relationship to one another. Given a verbal context and an equation, identify the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.

NY-7.RP.2c Represent a proportional relationship using an equation.

NY-8.EE.5 Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.

NY-8.EE.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.

AI.F.IF.5 Determine the domain of a function from its graph and, where applicable, identify the appropriate domain for a function in context.

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