Audio Transcript Auto-generated
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Hi and welcome.
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So this is what I would like students to be able to do is be able to
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take a proof and go through the proof and
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perform an explanation for every step they make.
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So this is the way you should start off.
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They should be given a proof and they would post this and they would say,
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Okay and read it if both, uh,
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pairs of opposite sides of a quadrilateral or
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congruent then the quadrilateral is a parallelogram.
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That's what we're trying to prove.
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What we're given is a B is congruent to C d and a D is
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congruent to BC And what I need to prove is that a B C.
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D is a parallelogram.
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First thing that you should do is first mark up everything that you're given.
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Write it down and the first thing beyond the given that you want is a c congruent to a C.
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So we would have a students say a c is congruent to a C by the reflexive property.
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Then they would publish their next step and say that triangle a d. C.
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Is congruent to triangle C b A.
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Making sure that the order matters and the reason we
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can say that is the side side side theorem.
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Yeah,
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Further,
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the next step would be to say that angle d congruent angle be so
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on and so forth and say that
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corresponding parts of congruent triangles are congruent.
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Now this proof has many steps,
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and I'm not going to go through every single one of them.
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But what should happen is the student should continue
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this format every time they ride a line.
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They should use that as the script for their video.
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Once they have a completed proof that looks like this.
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Oh, I cut off the part where I say it is a parallelogram.
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Darn it. Um,
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however,
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it would at the last B
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ABC is a parallelogram because opposite sides are parallel.
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Uh huh.
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So that is kind of the way it would work.
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And then students would be able to tell the story or
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show the arguments for proof
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through a visual video for other students to watch.
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And so that would kind of be the end of
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uh huh.
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That,
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and that is what I would require students to be able to do