Elif Yorulmaz &Gülden Kurt
Objectives:
12.5.2.1. Türev kavramını açıklayarak işlemler yapar.
a) Anlık değişim oranı fizik ve geometri modellerinden yararlanılarak açıklanır.
b) Verilen bir fonksiyonun bir noktadaki türev değeri ile o noktadaki teğetinin eğimi arasındaki ilişki üzerinde durulur.
Pedagogical Explanation:
Through this simulation activity, student have an opportunity to explore the relationship between first derivative of a function at a given free point and slope of the tangent line that through this free point. They also can see that derivative of the function and slope equals 0 when the free point reaches the minimum and maximum points of the function. They can understand why we calculate derivative of a function and where we use it. In this way, they can understand geometric interpretation of derivative.
This activity could be teacher-led, or could be used as a self-guided discovery for individual or small groups of students. Students usually know that the derivative of the function passing from a point is equal to the slope of the tangent line at that point, but they have problems visualizing it in their minds.
User Manual:
This simulation activity is about associating differential of cubic function and slope of tangent lines.
Firstly, teacher can drag sliders to show how function changes when the teacher change coefficients. Next, teacher can demonstrate how change the tangent line and its slope when he or she drags the free point on the cubic function. Dragging sliders and the free point do not change the equality of value of function’s first derivative and slope of tangent line. We expect that students explore this equality and these equal values equals 0 when the free point reaches the minimum and maximum points of the function via this activity.
To see construction levels of the activity, watch the videos:
Download simulation activity by below link:
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