In class: The last three days we have had about half the class gone on the Ashland field trip. On Wednesday we investigated the properties of s-curves and paper clips [see here]. On Thursday we played grudge ball and battled over questions like
What is the sum of the mean, median, and mode of the numbers 2, 3, 0 , 3, 1, 4, 0, 3? [answer: 7.5]
Everyday at school, Jo climbs a flight of stairs. Jo can take the stairs , , or at a time. For example, Jo could climb , then , then . In how many ways can Jo climb the stairs? [can you figure out the answer? it is less than 30…]
Thursday, 8 June 2017
Upcoming: Trigonometry Test on Tuesday, June 13th.
In class: Problem solving with trigonometry. In order to be Highly Proficient in trigonometry students need to be able to solve a variety of problems involving right and non-right triangles. They should be able to write and solve equations involving $sin, cos$ and $tan$ as well as their inverses, recognize how to construct right triangles and use them to find missing measurements in non-right triangles. Recognize and explain how S-S-A information about a triangle may be ambiguous and measure both cases. Also, HP students will understand and be able to prove the Law of Sines and Cosines for acute triangles.
Assignment: For Monday students should complete
Problem Set #1 ("June 7")
Problem Set #2 ("Trigonometry p-set #6")
Notes: I made a trig review worksheet (here)
Friday, 26 May 2017
Thursday, 25 May 2017
Students took the Similarity test (chapter 11) on Friday. This week we have learned the right-triangle definition of the trigonometric functions sine, cosine and tangent. As of now these functions take as input one of the non-right angles in a right triangle and their output is a specific ratio of sides in all such similar right triangles.
So, based on this definition, if that means that in any right triangle with a angle, the ratio of is approximately .57. In the figure below this means that .
Monday: No HW
Tuesday: 12.1 on p. 620-624: 4-9, 14-22, 27
1. "Understanding sine/cosine/tangent and their inverses" w/s
2. (3rd Period) 12.1 worksheet
2. (5th Period) 12.2 worksheet
Thursday, 18 May 2017
In class we spent time reviewing for tomorrow’s Similarity (Ch. 11) Test.
Assignment: Chapter 11 Review on p. 624: 1-21 (pick 12 problems) & be ready for your test tomorrow.
Wednesday, 17 May 2017
In class problem solving to prepare for Friday’s test on Similarity (Ch. 11).
Assignment: Challenge Problems + 11.5/11.6 PYS worksheet.
Tuesday, 16 May 2017
Assignment: 11.6 on p. 607: 1-21 odds
Monday, 15 May 2017
Their area or surface area ratios will be
Their volumes will be in the ratio
Assignment: 11.5 on p. 595: 1-6, 10-17
Tuesday, 9 May 2017
Saturday, 6 May 2017
In class students had time to work on assignments and I floated around to different groups. I stamped all assignments that were complete at this time. There have been 4 assignments not including the assignment from today (which would not be stamped yet.
Showing steps: I know this is a battle with many students who claim that they can get the answer without showing work, and I would like to weigh in and say that I expect students to show their steps and I insist that they do it. If your student is not showing work you may find notes from me in their spiral, sometimes in VERY LARGE font and glorious marker color 🙂 That said, I think that those who either by nature or nurture have come to be accustomed to showing work have an easier time progressing through more difficult topics, learning from their practice, communicating with those around them about problems and get more value out of their past work and spiral.
Assignment: 11.4 on p. 588: Investigation 1 and 2, also complete 1-14, 16