Description
This activity will engage your all your students in building a class slope field from a differential equation.
• Project a copy of the coordinate grid provided in the product on the white board or the interactive white board.
• After each person is assigned several grid points, they calculate the corresponding slope at that point So, for example, if dy/dx = xy, and a student has the coordinate (1,2) they would calculator the slope at (1,2) to be 2.
• The students add a small line segment to the grid to indicate the slope of a function at those points. So, for the example, the student would draw a small line segment at the point (1,2) that has a slope of 2.
• When every students has added their line segment(s) to the grid the class will have formed a slope field for the given differential equation.
• The activity then poses 7 questions that students should consider about the completed slope field.
This is a great way to introduce students to what a slope field is, how it is formed, what it can tell you about the function, and how the original function is behaving.
This activity could easily be extended to other differential equations.
Comment from a buyer:
• Great activity. Thanks.
• Good introduction to slope fields.
• Great whole-class discovery option
Highlights
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Description
This activity will engage your all your students in building a class slope field from a differential equation.
• Project a copy of the coordinate grid provided in the product on the white board or the interactive white board.
• After each person is assigned several grid points, they calculate the corresponding slope at that point So, for example, if dy/dx = xy, and a student has the coordinate (1,2) they would calculator the slope at (1,2) to be 2.
• The students add a small line segment to the grid to indicate the slope of a function at those points. So, for the example, the student would draw a small line segment at the point (1,2) that has a slope of 2.
• When every students has added their line segment(s) to the grid the class will have formed a slope field for the given differential equation.
• The activity then poses 7 questions that students should consider about the completed slope field.
This is a great way to introduce students to what a slope field is, how it is formed, what it can tell you about the function, and how the original function is behaving.
This activity could easily be extended to other differential equations.
Comment from a buyer:
• Great activity. Thanks.
• Good introduction to slope fields.
• Great whole-class discovery option
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