Brain Station
60 comments
Review summary
Based on 60 comments, created with AI
Students overwhelmingly praise this teacher's flexibility, teacher personality, teaching quality. Many students highlight the teacher strongly encourages students to think flexibly...
What students talk about most
Evaluation breakdown
Top Strengths
1. Stimulating Critical Thinking
2. Encouraging Creative Problem-Solving
3. Fostering Student Engagement and Exploration
Areas to Improve
1. Method Efficiency and Conciseness
2. Mathematical Rigor and Completeness
3. Proactive Doubt Support
What students love
“You can simplify the arithmetic by noting that all the lengths are divisible by 6, giving 5, 12, 14, 15. Then 13 is the diagonal from 5/12/13 triangle, area 30. Solving area of 13/14/15 triangle is much simpler to get 84. 30 + 84 gives scaled area = 114. Because scaling is 1/6th, we need to apply upscaling of 6² = 36. 36 * 114 = 4104.”
10 likes
“Alternate (and easier in my opinion) solution: 3^x+9^x+27^x=14. Let t=3^x, t+t^2+t^3=14. t-2+t^2-4+t^3-8=0. Factor out t-2, (t-2)(1+t+2+t^2+2t+4)=0. (t-2)(t^2+3t+7)=0. The rest is the same as the video.”
3 likes
“A great day for me, I finally solved one using the exact same method. 😂”
4 likes
“Your every single video made me think a lot ✨🥲”
3 likes
“I did it exactly the same way 👌”
3 likes
“Thinking outside the square. 😅”
6 likes
“The formula for calculating the area of a trapezoid also gives the same result. ((84+30)*72)/2 = 4104”
5 likes
“Simplest method, divide it into a rectangle and triangle. Rectangle of 30x72 = 2160. Triangle is 84 minus 30 = 54. Area of triangle is half base times height, 27 x 72 = 1944. Add the two together 2160 plus 1944 = 4104.”
1 likes
“I worked it out in half the time by making the right angled triangle side into a rectangle - lxb = 2160. Then a simple triangle - 1/2b x h = 1944. 1944 + 2160 = 4104.”
“I drew a line from the obtuse angle parallel to 72 and found that the resulting triangle is a 3, 4, 5 triangle which means that the 84 line is parallel to the 30 line making the figure a right trapezoid. So, (84+30)/2×72 = 4104”
What could be better
“Ridiculous if not plain illiterate! By definition, t > 0. With that, the function t+t^2+t^3 is positive and monotone, and so it can take value 14 at only one point, which happens to be 2. No need even to look for other real solutions! But the problem statement does not say that only real solutions are sought, and thus complex roots must be looked up, too.”
“Can't you just use the formula for the area of a trapezium and get the same answer? I just did it and got the same answer. Just pretty confused why you did it the longer way”
“Right off I saw it was a 5-12-13 right triangle, scaled by 6. No need to go through all that other stuff.”
“In my city almost all class 7 students will demonstrate this more conveniently”