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WINGSPAN PICTURES AS BROADCAST - DETAILED TEACHING CHANNEL - 01231 Act 1 Page 1 TC: 1:00:00 Video: Audio: Great Lesson Ideas – MARK: Understanding Quadrilaterals Math can be boring. I’m one of the first people that will admit that math can get boring and dull. So that’s why you always want to involve them in the lesson. Don’t just sit there and talk all day long. If they can enjoy the learning experience, it’s going to be good. TOUGH TO TEACH [music] Understanding Quilaterals Mark (INTV) MARK: Mark Hassoun My name is Mark Hassoun. I teach Math at math teacher Fairmont Prep in Anaheim, California. Mark (VO) MARK: Today’s lesson was about Quadrilaterals, but we started the lesson by talking about triangles, and I made them cut the corners of the triangles, which are the angles, and put the angles together to come up with 180 degrees. Mark, Students MARK: We’re going to start with a little experiment here. See, I put a bunch of triangles on each desk. So, start with the 1 teachingchannel.org WINGSPAN PICTURES AS BROADCAST - DETAILED TEACHING CHANNEL - 01231 Act 1 Page 2 TC: Video: Audio: obtuse triangle. So, cut up all of the angles, as partners. Cut them up and line them up on a piece of paper and see what they equal. Mark (VO) MARK: What’s abstract about the whole lesson is trying to remember the difference between the shapes. Each shape has its own properties and not to confuse certain properties with certain shapes. For kids who don’t memorize very well, that why I like to do that little activity, cut the corners of the triangle and put the angles together to make them remember their properties. What do they make? It makes a straight angle, he says. What’s a straight angle? 01:01:17 Mark, Students STUDENTS: 180. MARK: That’s why the sum of the angles in a triangle equal 180. Did you guys come up with a straight angle? STUDENTS: Yes. Yeah. 2 teachingchannel.org WINGSPAN PICTURES AS BROADCAST - DETAILED TEACHING CHANNEL - 01231 Act 1 Page 3 TC: Video: Audio: MARK: And what kind of triangle was this? Obtuse triangle. So, does it work for every triangle? See. Try it. Try it for this one. What kind of triangle is this one here? Scaling triangle, or... right triangle. So, cut up the three angles. See if you come up with another 180 degrees. Okay. Do they make a straight angle? If they make a straight line that’s a straight angle. What’s a straight angle? 180. And that’s two different type of triangles. So, it works for any triangle. So, I gave you some extras so as you can go and show your friends. Mark (VO) MARK: So, they cut all these angles, and every time they cut the three angles and they put them together, they end up with a straight line. 01:02:03 Mark, Students MARK: Now, today, we’re going to work with quadrilaterals. Let’s cut all four angles, and see what a quadrilateral will equal to. Mark (VO) MARK: 3 teachingchannel.org WINGSPAN PICTURES AS BROADCAST - DETAILED TEACHING CHANNEL - 01231 Act 1 Page 4 TC: Video: Audio: Then we moved on to a quadrilateral, which consists of four angles. So, they cut all four angles and put them together. 360 MARK: Onscreen diagram Cornerwise, they put them together, and they end up with a circular shape, and a circular shape adds up to 360 degrees. Mark, Students MARK: And that’s the beginning of all quadrilaterals. Just like the sum of the angles in a triangle equal 180. So, that’s the first rule. So, a quadrilateral by definition, a polygon with how many sides? Four sides. So, the first rule we learn, sum of angles in any quadrilateral add up to what? Add up to 360. Mark (VO) MARK: So, that was the beginning, to bring back the sum of the angles in a triangle into the quadrilaterals. And then from there we moved on to a like a formal lecture of different types of quadrilaterals, and we discussed the main ones. Mark, Students MARK: 4 teachingchannel.org WINGSPAN PICTURES AS BROADCAST - DETAILED TEACHING CHANNEL - 01231 Act 1 Page 5 TC: Video: Audio: And now I’m going to show you different types of quadrilaterals. I’m going to pass them out, and we’re going to talk about each type. Here’s a square. Draw the diagonals. Draw the diagonals on this picture and see what happens. 01:03:15 Mark (VO) MARK: Students drew the diagonals. They measured them. They found out if the diagonals are concurrent or not. Mark, Students MARK: Now, when you’re done drawing the two diagonals, measure them. Use that ruler that you have and measure both diagonals and see what you notice about both measurements, both diagonals. STUDENT: They’re equal. MARK: Are they equal? For both of them? So, what do we know about the diagonals of a square? They’re equal. So, that’s the first rule. Diagonals of squares are congruent. What else do you notice about those 5 teachingchannel.org WINGSPAN PICTURES AS BROADCAST - DETAILED TEACHING CHANNEL - 01231 Act 1 Page 6 TC: Video: Audio: diagonals? What kind of angles do they make? STUDENT: Ninety degrees. MARK: Ninety degrees is good. The diagonals of a square are perpendicular. So, next shape we’re going to concentrate on rectangle. Now, let’s see if we get the same results with a rectangle. Draw two diagonals and see if they’re equal. Then check if they are perpendicular. STUDENT: Not ninety. MARK: Not ninety. That’s good. 01:04:14 Mark, Students STUDENT: And there’s obtuse and acute angles. MARK: Yes. Are the diagonals equal? STUDENT: Yeah, equal. MARK: Are the angles right angles? 6 teachingchannel.org WINGSPAN PICTURES AS BROADCAST - DETAILED TEACHING CHANNEL - 01231 Act 1 Page 7 TC: Video: Audio: STUDENT: No. MARK: No. For rectangle, so diagonals are still congruent. But the angles are not right angles, so Rule Number 2 does not apply here. Diagonals do not form right angles. Do you understand the difference between a rectangle and a square? The square here all four sides are equal; a rectangle, opposite sides are equal. Mark (VO) MARK: It’s hard to remember all those rules, but if you did it, it kind of sticks with you, so you’ll, you’ll know the difference. Are the diagonals of a square congruent? Yes or No? If you drew them and you measured them, you tend to remember that. Really, you cannot have a single moment as a teacher as your best moment. I like to think about every day is the best moment. As long as you, the kids are succeeding it’s a good moment. 01:05:06 Mark, Students [music] 7 teachingchannel.org WINGSPAN PICTURES AS BROADCAST - DETAILED TEACHING CHANNEL - 01231 Act 1 Page 8 TC: 01:05:12 Video: With special thanks to Mark Audio: [music] Hassoun and the staff & students at Fairmont Private School CREDITS Wingspan Pictures Logo 01:05:22 Fade to black 8 teachingchannel.org