`And how many hours a day did you do lessons?' said Alice, in a hurry to change the subject.
`Ten hours the first day,' said the Mock Turtle: `nine the next, and so on.'
`What a curious plan!' exclaimed Alice.
`That's the reason they're called lessons,' the Gryphon remarked: `because they lessen from day to day.'
This was quite a new idea to Alice, and she thought it over a little before she made her next remark. `Then the eleventh day must have been a holiday?'
`Of course it was,' said the Mock Turtle.
`And how did you manage on the twelfth?' Alice went on eagerly.
`That's enough about lessons,' the Gryphon interrupted in a very decided tone...— Lewis Carroll in Alice's Adventures in Wonderland
Topic |
Assignment |
Date Due |
Grab |
| review of parallel lines and trig | Handout page 1 | Wed., Feb 2 |
parallel probs.pdf |
| review of angles | Handout, finish parallel lines problems, and do first page of angle problems | Thurs. Feb 4 | angle probs.pdf |
| the parallel triangle | Finish the angles assignment. Do not do problem 18. Draw a triangle on paper. Now draw the parallel triangle around it. Each side of the parallel triangle goes through a vertex and is parallel to the side opposite the vertex. Bring this to class tomorrow. |
Fri., Feb 5 | Thursday class |
| parallelograms | Book, page 190, probs 1--9 | Tues. Feb 8 | Mon class |
| Types of quadrilaterals | Picture drawing: 1. draw two lines that are equal and bisect eachother. Connect the endpoints; what type of quadrilateral do you get? 2. draw two lines that are perpendicular and bisect eachother. Connect the endpoints; what type of quadrilateral do you get? 3. draw two lines that are equal, perpendicular, and bisect eachother. Connect the endpoints; what type of quadrilateral do you get? Book, page 194 1-5 (state what property of a parallelogram proves the result). Note: check out list on page 193. Page 198 5-7 |
Wed. Feb 9 | Tues class |
| rhombus and square | Good Picture drawing: Use tools 1. create a good parallelogram. 2. create a good rectangle 3. create a good rhombus Book, page 202 2,6,7. Book, page 217, 6-14 |
Thurs. Feb 10 | Wed class |
| Quiz: Parallelograms, Rectangle, Square, Rhombus -- drawing included |
Fri. Feb 11 | Thus. class | |
| areas of parallelogram and rhombus | Book, page 378-379, probs. 1-10 | Tues., Feb. 15 | Mon. class |
| areas of parallelogram and rhombus | Book, page 396, probs. 1-8 | Wed., Feb. 16 | Tues. class |
| Test | Thurs. Feb 17 | ||
| Projects now | |||
| Check out the web pages from term 1 on natural structures and on the angle bisector schema. These are both available in pdf and as web pages. Use the web pages here and here if you are not sure. | Wed. Feb 23 | projects. | |
| Check out the incentral schema and complete the handout at home. | Thurs. Feb 24 | ||
| Check out the circumcentral schema and complete the handout at home. | Fri. Feb 24 | ||
| Project time | Tues, Feb 27 | law of sines | |
| Project time | |||
holidays |
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Pyth Thm questions in class while I am gone you can email me at ssigur@math.princeton.edu |
Tues. Mar. 8 | ||
| SAT type questions in class | Wed. March 9 | ||
| understanding and using formulas | 1. Look at the law of sines web pages again. 2. Use a ruler to draw an accurate acute triangle. (if you do not have a ruler, use graph paper as a ruler). Label the vertices A, B, C then measure and record the three edgelengths. Draw, measure and record the lengths of the three medians. 3. Repest 2 for an obtuse triangle. Have these pictures and numbers when you come into class. |
Friday, March 11 | |
| Compute the lengths of the medians, angle bisectors, altitudes, r, and R for either of the triangle you created yesterday. | Mon, March 14 | formula site | |
using formulas
|
Computations, angle bisector schema | Tues, March 15 | Computation assignments |
| Computations, excircles schema | Wed, March 16 | ||
Computations, Circumcircle schema Computations, Orthic schema |
Thurs, March 17 | ||
| area and perimeter | Book, page 367; probs 1-15 odd | Wed. March 23 | Tues. class |
| area and perimeter | Book, page 372; probs 1-20 (odd, odd) | Thurs. March 24 | Wed. class |
| area and perimeter | Book, page 375; probs 1-20 (odd, odd)l Book, page 378; probs 1-20 (odd, odd) |
Fri. March 25 | Thurs. class |
| area and perimeter | Book, page 384; probs 1-20 (odd, odd) Book, page 387; probs 35-46 (odd, odd) |
Mon. March 28 | Fri. class |
| area and perimeter | Catch up day. | Tues. March 29 | Mon. class |
| area and perimeter | Book, page 391; probs 10-30 (odd, odd) | Wed. March 30 | Tues. class |
Review
|
Wed. class | ||
| areas and perimeters: quadrilaterals and triangles | Ye olde April Fools day, going on vacation test. Topics: Area and perimeter; Questions on test will come from the harder questions (>10). | ||
| Chart of Trig values, area of trapezoid | Yes vacation is over. In honor of being back do page 391 1-20 (odd-odd) | Tues., April 12 | Mon class |
| Page 396 1-20 (odd-odd)\ | Wed., April 13 | Tues class | |
| Area of polygons and circles | Page 421 1-20 (odd-odd) | Thur., April 14 | Wed class |
Quiz Friday on the table of trig values. hw - Page 426 1-20 (odd-odd) |
Fri., April 15 (Tax day) | Fri. class (with guest artist -- ends with a bang!) | |
| page 447; 1-10 | Tues. 19 | Mon class | |
| do 5 more | Tues class | ||
| Test Friday. Topic Areas. From pages 391 - 447 | |||
| analytic geometry | Homework on page 6 of web pages | Tues class | |
| Homework on last page of web pages | Wed class | ||
| There are two triangles to work with on the web pages, the first from 1st period, the second from 5th. | Thurs class | ||
| perpendicular and parallel | Find the 9 distances in your triangle. | Fri class | |
Final Exam: You will received the coordinates for three points from me at the beginning of the period. All students will get different points and thus have a different triangle. You will be told to create a picture of your triangle with added features (such as the medians). After you complete your picture, you will get the test which will include questions asking you to find slopes, distances, midpoints, the equations of lines and their intersections. You have a choice to make: Do you want an easy test (95 points maximum) for which the points you are given have features that make a few of the answers easy to get. a medium test (100 points) for which all vertices and midpoints will be whole numbers. a hard test (105 points) for which more coordinates will be negative or non-integers. |