STEM Forum Presentation

Here is a link to the presentation I am giving at the 2015 STEM Forum at the Classic Center, Monday, 10/26.

https://drive.google.com/a/oconeeschools.org/file/d/0B2XYF8oNHClQZ0RDaHpPOG1HUUU/view?usp=sharing

Analytic Geometry Test is Friday!

Friday is our latest Analytic Geometry test.  The test will assess the students on their ability to show that triangles are similar, that triangles are congruent, and that they can use trigonometric ratios.

Trigonometry is the study of right triangles.  This is one of the questions that is on the test.

Here are some additional links to some sites related to what will be on the test:

http://www.thatquiz.org/tq-A/?-jg-l1i-m2kc0-na-p0

http://www.studyzone.org/mtestprep/math8/e/similartriangles6p.cfm

http://mathbitsnotebook.com/Geometry/CongruentTriangles/CTrecognize.html

http://www.glencoe.com/sites/texas/student/mathematics/assets/interactive_lab/geometry/G_04/G_04_dev_100.html

http://www.staff.vu.edu.au/mcaonline/units/trig/ratios.html

http://www.algebralab.org/lessons/lesson.aspx?file=trigonometry_trigsincostan.xml


Today in class, students received a take home quiz.  Students should use all of their resources to complete the test.  These will be graded and given back to the students during class Thursday so they have another tool to use to study.  Please email or Tweet me and I will answer any questions the students have.

Here are the answers to the quiz...

1) Not similar
2) Triangle NML, SSS
3) Triangle RVW, AA
4) Not similar
5) A     6) B     7) D     8) A
9) Cosine is the ratio of the adjacent leg of a triangle to the hypotenuse
10) Inverse tangent is the function that allows one to find the measure of an angle, given the opposite and adjacent leg measures.
11) SSS, SAS, AAS, ASA, HL
12) A     13) B     14) D     15) A
16)  24.44
17) 44.6 ft

AG Milestones QOTD Plus!

The state has released the formula sheet for the Analytic Geometry Milestones exam.  This should help us determine what we need to know before the exam.  Having the formulas is great, but we also have to know which ones to use and what the variables stand for.

The two links below point to the Formula Sheet and the state's page on Milestones exams.

http://www.gadoe.org/Curriculum-Instruction-and-Assessment/Assessment/Documents/Milestones/EOC-Resources/Analytic_Geometry_FormulaSheet.pdf

http://www.gadoe.org/Curriculum-Instruction-and-Assessment/Assessment/Pages/Georgia-Milestones-EOC-Resources.aspx


Tuesday, 10/20

Can the triangles be proven congruent with the information given in the diagram? If so, state the theorem and postulate.

 

a. Yes, by SSS.

b. Yes, by SAS.

c. Yes, by ASA.

d. FE is congruent to ON

What we are doing this week in Analytic Geometry...

We are learning about the trigonometric ratios of sine, cosine, and tangent:
http://www.mathopenref.com/trigfunctions.html

We have learned the meaning of SOHCAHTOA:
http://www.mathopenref.com/sohcahtoa.html

We are exploring how to prove if triangles are congruent:
http://www.regentsprep.org/regents/math/geometry/gp4/ltriangles.htm

Analytic Geometry QOTD and more

Here is a link to the video that Ms. Kolodziej showed in class today.

https://www.youtube.com/watch?v=PIWJo5uK3Fo

Monday, 10/19/2015

True or False?

These triangles are similar.

True

False

PS: Only got one poster.  I guess people don't need extra credit, or just don't look at the blog.  Oh well...

AP Calculus Group Quiz - Due Monday, 10/26

Here are links to the two documents that will make up Group Quiz # 5, due on Monday, 10/26.  Mr. Lewis discussed in class the specific problems to do.  If you don't remember, you can always do them all...


https://drive.google.com/a/oconeeschools.org/file/d/0B2XYF8oNHClQVVBSMkp4aW5pTzQ/view?usp=sharing


https://drive.google.com/a/oconeeschools.org/file/d/0B2XYF8oNHClQMG51NVF5T1AyWFk/view?usp=sharing

10/12 Analytic Geometry

Fourth blovk will work on the attached worksheet.  This is good practice for 3rd as well, as it has us working with proportions.

https://drive.google.com/a/oconeeschools.org/file/d/0B2XYF8oNHClQUm9hWjlVdU5aV0NGX24xRnpCdnhoR3o0aEJv/view?usp=sharing

Tuesday, 10/12

I've been asked to put more on my blog connected to what we are doing in class.  I will strive to be on top of this, but I will need your help reminding me and keeping me accountable for providing you, those concerned with the education of the 101 students I am responsible for in the Fall of 2015 at North Oconee High School.  I will try to make sure what is happening in class is reflected here (and I reserve the right to throw the bonus points and assignments your way...).

Speaking of which, the walls in the classroom are nice, but the posters are from previous years.  As we head toward Milestones and AP exams, it seems we should have some fresh things to look at.  Therefore, students may bring in a poster that they have designed themselves.  Posters must be spelled correctly, be colorful, be creative, and provide information, notes, or formulas for a specific topic we have covered in our class this semester.  Excellent work, turned in by Friday, 10/16/2015, will result in five points on a student's lowest test score.  Offer void where prohibited.  One coupon per transaction.  We have enough unit circles, for now.

QOTD Catch-up

Friday, 10/2/2015

I have fallen behind on the Analytic Geometry Question of the Day, so here are four questions to help us catch back up (notice: Question # 4 has four equations and four solutions to match to those equations).  I know of at least one family that has been working on the QOTD and will turn the first 10 in for the aforementioned points.

#1   What are the solutions to the equation ?

a. x = - 27 only

b. x = 75 only

c. x = - 27 and x = 75

d. x = - 75 and x = 75

# 2   Use the graph of the function g(x) to answer the question.

Which statement about the real solutions of g(x) is true?

a. g(x) has no real solutions. 

b. g(x) has exactly one real solution.

c. g(x) has two real solutions that are rational

d. g(x) has two real solutions that are irrational

# 3    Use the quadratic formula to find the roots of the quadratic equation.

 

a. 

  b. 

 

c. 

 

d. 

# 4    Match the items.

The task is to match the lettered items with the correct numbered items. Appearing below is a list of lettered items. Following that is a list of numbered items. Each numbered item is followed by a drop-down. Select the letter in the drop down that best matches the numbered item with the lettered alternatives.

a. x = -1
b. x = -1 and x = 2/3
c. x = -½      and x = 3
d. x = -5
1. x2 + 2x + 1 =0	a  b  c  d
2. x2 + 10x + 25 = 0	a  b  c  d
3. 6x2 + 2x – 4 = 0	a  b  c  d
4. 8x2 – 20x – 12 = 0

Graphing Circles & Parabolas

The unit we are currently studying in Analytic Geometry involves graphing circles and parabolas.  We have investigated the standard and general forms of both circles and parabolas.  We have graphed both using the different equations, and we have written equations of circles.  Writing equations of circles always comes down to finding the center and finding the radius.

Here's some places to investigate for further study and practice.  This first link is really cool if you are working with circles.

http://www.mathportal.org/calculators/analytic-geometry/circle-equation-calculator.php

https://www.youtube.com/watch?v=Im1qKj4nsqQ  (students: this is the video we looked at in class about what a parabola is, if you want to show it to your friends and family)

http://www.softschools.com/math/calculus/graphing_circles/

http://www.mathwarehouse.com/geometry/circle/equation-of-a-circle.php

http://study.com/academy/lesson/graphing-circles-identifying-the-formula-center-and-radius.html

APCS

For those taking AP Computer Science in the spring, just thought I'd give you some food for thought, even though I know you are real busy with the stuff you're doing in your fall semester classes.

We won't have a classroom textbook, but I will share with you some great on-line textbooks and resources.  Here's one from some of the good people at Georgia Tech:

http://interactivepython.org/runestone/static/JavaReview/index.html