Lesson Plan Questions - Teacher Subject Matter Knowledge...

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Teacher Subject Matter Knowledge: During the actual lesson, I do not simply give the students concrete examples involving the Pythagorean Theorem. In other words, I do not simply give the students a triangle with two leg values and ask them to apply the Pythagorean Theorem in order to find the missing leg. Rather, I extend on the topic by incorporating a geometric derivation of the Pythagorean Theorem. This derivation helps students conceptualize the topic in an abstract manner as they are using a geometric area model to derive an algebraic result. Ultimately, I believe this implies I know my subject matter pertaining to the Pythagorean Theorem because I am able to teach the topic in a conceptual manner as opposed to teaching the topic strictly procedurally. Furthermore, I was able to expose the students a real-life problem which applies the Pythagorean Theorem. Thus, in teaching a mathematical topic and extending it beyond the scope of the classroom, I believe I have a sufficient grasp on the material.
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