Conic sections

CONIC SECTIONS Links

Review

https://www.khanacadem 1) y.org/math/algebra2/conic s_precalc 2) 3) 4) 5) 6) 7)

Pedagogical goal a. Remedial practice.

School Level: 10-12 class Level of difficulty: low Language: English Interactivity: some sections Problems: none Weak points: heavy computational techniques, low use of symbolism 8) Strong points: It can be used autonomously by students 9) Overall review 10) Example of use Home revision

https://illuminations.nctm. 1) Pedagogical goal a. Support as teaching instrument/s, especially org/Activity.aspx?id=3506 while expounding new contents b. Group- work 2) 3) 4) 5) 6) 7)

School Level: 10-12 class Level of difficulty: medium Language: English Interactivity: Yes Problems: No Weak points: some content can be a bit difficult for school level 8) Strong points: interactivity, applications for exploration / thinking 9) Overall review 10) Example of use Students work in group, answering questions proposed in the web page and/or to other proposals by the teacher. At the end of the work, revision / correction in class with the teacher. http://www.macchinemate 1) Pedagogical goal a. Support as teaching instrument/s, especially matiche.org while expounding new contents b. Practice of consolidation and further development. c. Simulations d. Didactic material/s useful for experiments or practical activities e. Group- work

2) 3) 4) 5) 6)

School Level: 10 -12 class Level of difficulty: high Language: Italian Interactivity: yes Problems: not all browsers allow you to open the simulations (Java) 7) Weak points: need a good internet 8) Strong points: proof of properties, use of the synthetic method, ability to build pathways to visit as into a museum 9) Overall review 10) Example of use Group work: exploration, demonstration and control, final presentation of the work, possible reconstruction by students with geogebra or other software.

Teacher can show and use the virtual machines during explanations http://mste.illinois.edu/dil 1) Pedagogical goal a. Simulations. dine/sketches/parabolas.ht b. Didactic material/s useful for experiments or m practical activities. c. Group- work. http://mste.illinois.edu/dil dine/sketches/ellipse.htm 2) School Level: 10 -12 class 3) 4) 5) 6)

Level of difficulty: medium Language: English Interactivity: Yes Problems: not supported from all browser (problem with Java) 7) Weak points: unattractive graphics 8) Strong points: focusing on the geometric characteristics of conics 9) Overall review 10) Example of use Group work/homework: students draw the curves as indicated, they give answers to questions on the website and/or other questions from the teacher using the applet.

Discussion with teacher and other students in class http://www.wolframalpha. 1) Pedagogical goal a. Remedial practice. com/examples/ConicSectio ns.html 2) School Level: 10 -12 class 3) Level of difficulty: medium 4) Language: English 5) Interactivity: Yes 6) Problems: No 7) Weak points: need a good internet 8) Strong points: Solve problems through simulations

9) Overall review 10) Example of use It can be used by students to control stepby-step their solutions