Attached below are definitions for conditional and converse statements and the practice with converse.
Hope you learned a lot in our second block! The take-a-way:
The two kinds of reasoning we use are inductive (based on patterns) and deductive (based on facts and logic).
Our goal is to recognized the difference in an argument and explain how we know. Also to be able to identify conjecture and give a counterexample that would show an inductive argument to be false.
Good questions: can inductive conjectures be wrong?
If deductive arguments starts with accurate premises and have valid logic, will they lead to the truth?
Can you refer to a conjecture as unproved and a theorem as proved?
The handout for tonight's homework is downloadable below if you lost it. Remember to do 1, 3-10, 15, 16, 22, 1-4 on bottom right.
DO YOUR WORK IN YOUR NOTEBOOK IN THE HOMEWORK SECTION!!! HW #1 is due for Block 3 on Friday-Monday.
A copy of today's notes is downloadable below also. The last download is a fresh copy of the Reasoning Activity from Day 1, if you think that might be helpful. If you lost the syllabus or compass order or Zero Hour Contract, those are available under Pre-AP Geometry Forms.
I hope everyone enjoyed our first block of Geometry for 2017. Thanks for working hard and being so involved!
There is no homework due for the 2nd block.
The Course Syllabus with details about the class will be available on Wed-Thurs. Remember that you will need a notebook(s) with three sections. No graphing calculator required. You will want a ruler and protractor. Compass orders available next block. Requested (optional) by Ms. Bogart: last name A-M bring 4 AAA batteries; last name N-Z bring 2 packs of 3X5 note cards and 2 small glue sticks.
Be sure you bring the cut up arguments and your write-up back to class. We will be creating notes for each class based on your input from your write-ups, then using the arguments to glue into your notes for examples.
Our goals for block 1 were to:
Today was our last day of final review. Students were able to rework problems from the transformation unit test and the circle unit test from a "clean copy" on the screen.
These will not be posted on my website as they are copies of tests.
We did go over the second review and take questions.
Help session available Wed morning 8-8:45.
Attached below: answers to the two final reviews.
Today was our first review day for the spring final.
We began with a warm-up that contained problems from our right triangle test about trig ratios and finding area of isosceles triangles. Ms. Bogart checked to make sure that students had at least started their final review assignments.
Books may be turned in on the last block or the day of the final.
Students were able to check their final review assignment against Ms. Bogart's answer key. These will be posted closer to the final. We went over the warm-up and review quickly, but also hit some details that might be important on the final.
We then did some fill-in-the-blank, always/sometimes/never, and multiple choice from the polygon unit. And we shared answers and checked them.
Quizzes were returned. Two tests were returned and looked at for potential questions on the final.
All of these were collected at the end of class.
A second final review assignment (due next block) was handed to students in class. Attached below.
Both review assignments will be collected on the day of the final.
If you did not get the first assignment or the topic list, they are attached to the previous block's post.
Review session Monday 2:20-3:00 for zero hour students.
Wednesday 8:00-8:45 for all others.
Today was our last assessment before the final exam. If you missed class, please come during A&E on Wednesday to take the 45 pt "Quest". All review materials are attached on previous posts.
A grade was taken on HW #15 (review for quiz). Questions were answered about the review after self-checking. A warm-up over naming of solids and surface area and volume of spheres helped us prepare for the "Quest" today.
The assessment was half the class time.
During the assessment, Final Review Topic List and Final Review Assignment #1 were handed out. If you left yours in class, they are attached below.
The first review (over 2 units) needs to be completed by the next block.
All we have remaining in the semester is final review assignments (15 pts total) and the final itself (20% of semester grade).
Attached are the topics for Mon-Tues 45 pt quiz.
Continue to next post for most information about Thurs-Fri class.
Today's block was a review day for volume, sphere surface, and 3-dimensional thinking.
Attached below are some helps on today's class for those of you who were not here.
There was a warm-up on solids of revolution and density (attached).
I took a grade on HW #14 and we went over it. (sorry, answers not attached... check next week).
We did some problems in class (those are mentioned and answered on the handout about solids of revolution).
HW #15 was assigned (unit review): p 554:1-13,2-22,28, p 454: 18.
Answers to the review are also posted.
HW #14 was entered incorrectly on the previous blog post; it was p 547 not 457.
Last new content was learned and applied today in class.
Surface area of a sphere is 4 times Pi times r^2.
In other words, 4 of the largest circles from cross-sections of a sphere would cover the sphere completely.
But a hemisphere has a base, so its surface is 3 times Pi times r^2.
HW #14: p 457: 1-6, and p 544:8,9,12-14. Show work and use of formulas.
On B day we practiced degrees, radians, & coordinates for a point on the unit circle.
Warm-up was p 532: 1 & 8.
We checked homework and showed lots of work as the homework was fairly difficult (HW #13).
I took a grade on HW #12 & #13 - 4 pts each.
Then we took the Unit Circle Quiz - 24 pts and worked on the new homework for the rest of class.
Attached: answers to HW #13 from the board.
We are getting very close to the end of all new content for the year!
Dates: Quiz over unit circle degrees, radians, and coordinates (6 sketches given, questions are just like the last test), Tues-Wed, May 8-9 - 24 pts.
Big Quiz over volume and 3-dimensional geometry - May 15-16, 40-50 pts.
Finals over spring semester content - May 21-24, 20% of semester grade.
Today in class we learned three things:
We went over HW #12 in detail to make sure everyone has a chance to master the content. (mostly volume of pyramids and cones).
1st period learned about 2-d figures formed when a solid is sliced by a plane.
There was quite a bit of time in class to practice while students were able to (finally) view their tests. Those will posted Tuesday, along with adjustments to the last quiz.
In class practice: p 84:18-21, p 526: 16-18.
HW #13 - p 532:3-5,7,10-11, p 536:1-4, p 543:1-6.