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I created this activity to help the students understand that an ellipse is a closed figure with interior space.
In this activity, students are given five (5) random points. Their objective is to find the equation of an ellipse (horizontal or vertical) that completely encompasses all of the assigned points.
The students need to identify the center of their ellipse (h, k) as well as the semi-major axis and semi-minor axis (the values of a and b).
The students also need to provide evidence to themselves and to the teacher that they are correct by using either of two methods:
• create a graph showing the ellipse and their assigned points completely encompassed
• show by calculation that each of the five (5) assigned points, when plugged into their equation will give a value less that one (1).
I have provided the CHECK-A-TRON to help you determine if a student's equation needs revision. Simply type in the coordinate points that the student was assigned and 4 components to their equation (h, k, a, and b). The CHECK-A-TRON will then tell you which points are Encompassed in the Ellipse.
I have created 100 unique student sheets in one pdf so you will have the option of differentiation.