Geometry Videos:similar triangles
Geometry, specifically the knowledge of similar triangles, plays an important role in determining safe levels for radiation therapy. 3 points determine a plane!! The unique properties of triangles are one of the key reasons a computer design file can communicate to 3D printers. (Triangles are the most versatile, why?) HL triangle congruence theorem The Leonard P. Zakim Bunker Hill Memorial Bridge is a cable-stayed bridge across the Charles River in Boston, Massachusetts. Proof The measuring process of checking to see if the diagonals of a window frame are congruent ensures that it is in fact a rectangle. Why is this, the case? Why is it useful in constructing a window frame? Pure Geometry Integration of Geometry into architecture gives purpose to designs, as the knowledge of geometric shapes is the tool box to architects. Pool-Angle reflection Vastly improve your Pool skills by developing strategies that rely on the understanding of angles and angle approximations. |
Study Skills - "An Ongoing Personal Study"by Ms. Urquhart and Ms. Roberts
Goal: The drive behind making the video, Study Skills , was to answer the frequent question posed to us by our students, “how do I study for math?” Over the course of out internship, we have observed our students’ inability to see the big picture of studying smart and how to think about their thinking. We want students to think about their study habits and evaluate them as an efficient way to get the grade they want in a class. Reflections on the video: Study Skills - "An Ongoing Personal Study to Sharpen Our Skills" is a work in progress. I would like to revamp this video yearly and hopefully see more of a student voice in terms of the answers to these questions. Hopefully, if time permits I can make this an evolving document, where every year I make it a habit of showing a new cut, taping more of my student squestions and answers, and re-editing. I believe this would be an asset to help students answer the timeless question of "How do I study for math?" I wasn't quite as happy with the portion on memorization. My intent was to teach students the life skill of memorization. And while repetition will certainly get kids to memorize, I would rather see more conceptual understanding. For example, for the volume of a cylinder or a prism, the idea of taking the base and "stacking it up" - like a stack of paper - will inevitably lead students to remember V=Bh. An activity in which cones and pyramids are compared to the corresponding cylinders and prisms would generate a memorable experience in which students would get the 1/3 in there, and then it's just a matter of finding ways to calculate the area of a base. 1/3πr^2h has no inherent meaning unless you understand what everything stands for and how it all comes together (Such an experience would also help to sidestep the common misconception confusing height and slant height). |
Discussion on the Properties of Various Quadrilaterals:
A peer of mine, with a degree in computer programming, created the following music video to the song, "Im a Quadrilateral", written by 7th grader and family friend.
Observe the video and take note of the mistakes and generalizations made about all Quadrilaterals that we now have taken a deeper look at quadrilaterials.
Example: Not all quadrilaterals have opposite sides that are parallel and equal; Certain Trapezoids and Kites serve as a counter examples.
Now that we know more characteristics about quadrilaterals, how could we edit or rewrite the song to have more advanced, accurate lyrics.
A peer of mine, with a degree in computer programming, created the following music video to the song, "Im a Quadrilateral", written by 7th grader and family friend.
Observe the video and take note of the mistakes and generalizations made about all Quadrilaterals that we now have taken a deeper look at quadrilaterials.
Example: Not all quadrilaterals have opposite sides that are parallel and equal; Certain Trapezoids and Kites serve as a counter examples.
Now that we know more characteristics about quadrilaterals, how could we edit or rewrite the song to have more advanced, accurate lyrics.