The End is Near!

On Friday, the two Analytic Geometry classes will take their "Sorta" Final.  Since we took the Milestones, and that accounts for 20 % of our grade, the students who are here Friday will take a test that can replace any of their scores on Tests 5 (Triangles), 6 (Probability), and 7 (Circles).  We have worked on old tests and a study guide the past two days, so hopefully everyone will have something to study.

Below are links to the review and the answers:

https://drive.google.com/file/d/0B2XYF8oNHClQRG5jOWt3RWpLaDA/view?usp=sharing

https://drive.google.com/file/d/0B2XYF8oNHClQb0NDX1lHaEpQbzhqc1BvQmViM21NNC0wOWNr/view?usp=sharing

https://drive.google.com/file/d/0B2XYF8oNHClQZHRmSEljOHVpN0lScXp2anBYckNONW02MW44/view?usp=sharing

https://drive.google.com/file/d/0B2XYF8oNHClQdmh6Wk1hV3B2T0FjbUNFOUVFaEdBSzZpTWZF/view?usp=sharing

https://drive.google.com/file/d/0B2XYF8oNHClQRlFCdTJBbU9EazBfb2h6SDFWZHhENHNqNXZF/view?usp=sharing

Yes!

Well, we survived the Milestones.  All 63 tests, including both sections, were completed on time yesterday.

Our itinerary in Analytic Geometry for the rest of the semester...

This week is the Hour of Code event.  We will work on different coding projects using laptops we borrow from the library on Friday and Monday.  Students will earn additional quiz grades based on the activities they complete.

Tuesday and Wednesday of next week we will review for the "Sorta Final."  This will cover the material from the second half of the semester, including triangles, probability, and circles.

Friday is the last day of the semester.  Students who come to class on Friday will take the "Sorta Final."  The grade on this cannot lower their score, but they could replace their scores for Tests 5, 6, and 7 depending on their score on the midterm.  Great opportunity for those with low scores or are in danger of failing.  Also, it is a great opportunity to pad our scores in anticipation of the Milestones results.  Many of us could use some room to breathe.

More AG Milestones Review

In the Commons Area today, we worked on a whole bunch of problems to prepare for the Milestones.  Below are two documents which contain all of the questions and answers.

Also, don't forget the Holiday Special!  Monday is the last day to give me USA Test Prep stuff.

Get some rest and do some studying this weekend!

https://drive.google.com/file/d/0B2XYF8oNHClQQnc5LXhKRk02UWs/view?usp=sharing

https://drive.google.com/file/d/0B2XYF8oNHClQT19HOTNVNlR3MDg/view?usp=sharing

Analytic Geometry: Milestones

In class today we discussed a lot of resources for preparing for the Milestones Exam, which will be December 8 & 9 during class in the media center.

During class we took a Diagnostic Test over the content that should be on the Milestones.  Results will be evaluated Tuesday in class.

Here is a list of those resources:

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

http://www.gadoe.org/Curriculum-Instruction-and-Assessment/Assessment/Documents/Milestones/EOC-Resources/Analytic_Geometry_FormulaSheet.pdf -- Analytic Geometry Formula Sheet, which will be availkable during the exam

http://www.gaexperienceonline.com/ -- Great resources, including a tutorial and test questions, to help familiarize test takers with the computer environment

http://www.gadoe.org/Curriculum-Instruction-and-Assessment/Assessment/Documents/GM%20Analytic%20Geometry%20EOC%20Assessment%20Guide.pdf  -- Assessment Guide with sample questions and answers

Home Stretch

It has been communicated to me that it can be annoying to search for things on my blog.  I will try to address that so you don't have to just look up each blog post, but with 3 weeks left until the end of the semester, that may not happen.  I encourage you to follow me on Twitter (@MrLewisNOHS) or to email me (mlewis@oconeeschools.org) with any questions, comments, concerns, or criticisms you have.

Also, students need to listen in class because I always say when I have posted something on Twitter or on the blog.  The only things students might miss from doing either is bonus material.  Thus, it is not mandatory to look at the blog or Twitter and be successful in the class.

By the way, if you turn in a USA Test Prep (usatestprep.com) report all 5 days of this week, you'll get a bonus 2 points on Friday.

Also, there is a fun little bonus for someone on Twitter, but you'll have to go all the way back to Friday to find it...

ANALYTIC GEOMETRY MILESTONES - December 8 & 9

Related Rates Site

This is the Related Rates site we looked at today in Calculus.  Lots of great practice, and you get the immediate feedback on whether you got the answer right.

This makes me want to dig around some more on this site and see what else there is.  More to follow...

Since I probably will forget...

Analytic Geometry has our penultimate test tomorrow.  The test is over all of the work we have done with probability the last couple of weeks.  Here is a link to the key from today's review.  Here is a blank copy if you want that.

New blog update!

Ever since my three days out because of conferences, I have been working hard trying to get caught up and get tests and quizzes graded (the Analytic Geometry quiz is finally finished! Grades will be posted soon).  Sooooooo... I haven't updated the blog, as I'm sure you've noticed (if this is not your first visit here).

Here's a quick post, and then I'll get back to grading (AP Calculus Test right in front of me):

We still need posters in the room. One student took advantage of the previous opportunity and made a nice poster demonstrating how to find the equation of a circle.  Here's some more posters that we need:

• one that shows the 52 cards in a standard deck
• one that shows the 36 possible ways of rolling two dice
• one that shows the definition of a derivative
• one that shows all of our trig derivatives
• one that shows our trig definitions
• one that shows the quadratic formula
• one that shows the different ways to solve quadratic equations

This is just a start, really, but I wish I had these to point out when we are talking about new stuff in class.  Any student who brings in a poster that covers one of these topics, or features any other topic we have covered this semester, will get 10 points added to their lowest test score.

Posters must be:

• colorful
• creative
• mathematically correct
• grammatically correct

Posters turned in after Tuesday, 11/10/2015, will be appreciated but will provide no reward.  So.... the clock is ticking!

(See Mr. Lewis for any further details or if you have any questions)

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

Quadratic Regression

The last part of Unit 3 in Analytic Geometry is using quadratic regression to model real-life scenarios.  Here are a couple of links to something similar to what we are doing in class:

http://www.mesacc.edu/~scotz47781/mat120/notes/projectile_motion/projectile_motion.html

http://www.algebralab.org/Word/Word.aspx?file=Algebra_QuadraticRegression.xml



The test for Unit 3 is on Friday, 9/25.  It will focus on graphing quadratics and characteristics of parabolas.

9/23 Analytic Geometry Milestones Question of the Day

Wednesday, 9/23/2015

Find the zeros of the polynomial function: g(x) = x² + 8x – 20

AG QOTD - Tuesday, 9/22

Tuesday, 9/22

Match a - d with 1 - 4.

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

Milestones QOTD - Monday, 9/21

Monday, 9/21/2015

A rectangle has a length of 6 feet.  The value of the area of the rectangle, in square feet, is an irrational number. Therefore, the number that represents the width of the rectangle must be —

     A)  a whole number

     B)  a rational number

     C)  an irrational number

     D)  a non-real complex number.

Square Root and the Tangent Line (cool name for a band...)

As AP Calculus was ending this morning, we were finding the equation of the tangent line to the square root curve at the point (1,1).  I graphed the tangent line and the square root function on the same coordinate plane and then zoomed in really close.  What we can notice is that as we zoom in closer and closer to (1,1), the difference between the curve and the tangent line becomes negligible.  This is one of the reasons we simplify things by saying the slope of the tangent line is the slope of the curve.

Check out the picture if you're interested.













PS: +5 on a quiz grade if you bring me a printed copy of the picture by Wednesday, 9/23.

PPS: Cambridge Cambridge Cambridge (https://en.wikipedia.org/wiki/Isaac_Newton)

Milestones Question of the Day

As long as people refer to it or indicate they are looking at this, I will post a Georgia Milestones Analytic Geometry Question of the Day on the blog.  Students can practice these questions and turn in their answers with work and explanations.  I'm going to shoot for putting a new one on everyday.  After at least ten Questions have been posted, students may turn in ten questions at a time to me.  If all ten are correct and there is work AND at least one sentence explaining why that choice is the correct answer, then students can trade in the ten correct Questions and replace their lowest homework or quiz grade with a 100.

Here's the first QOTD:

Friday, 9/18/2015

Use these functions to answer this question.

P(x) = x² – x – 6

Q(x) = x – 3

What is P(x) – Q(x)?

A) x² – 3

B) x² – 9

C) x² – 2x – 3

D) x² – 2x – 9

                                                                                                                                                                                                   Super Gigantic Bonus:  The walls are looking a little plain in the classroom and pretty much have the same stuff on them since the beginning of the semester. Time for an update.  Take a normal-sized sheet of poster board.  Using different colors and your special creative juices, bring in something related to one of the topics we have discussed thus far this semester.  For example, you could put the quadratic formula, or the difference of squares pattern, or Pascal's Triangle, or the definition of continuous, or some of the unit conversion stuff (those last two are for AP Calculus and Algebra I Support students).  Bring this in by Wednesday, 9/23, and I will give you 10 points on your lowest test (or a 100 for your lowest assignment in Algebra I Support).  See me, Mr. Lewis, for details.  One entry per student, void where prohibited.

The Latest in Analytic Geometry

Test # 2 is graded and will soon be posted in Power School.  Thanks for your patience.  There are so many ways to gain some partial credit that it takes a while to get an accurate grade on these kinds of assessments.

We started our study of Unit 3 on Friday, 9/11/2015.  Now that we have spent so much time working with quadratic functions algebraically and solving quadratic equations by completing the square, factoring, and using the Quadratic Formula, we are turning our attention to graphing quadratic functions.

We have learned that the graph of a quadratic function is called a parabola, and the important features of parabolas are the vertex and the axis of symmetry.

Below are copies of some of the handouts we have looked at in class as well as links to videos, lessons, practice, and other cool web resources for parabolas.

Graphic Organizer
https://drive.google.com/file/d/0B2XYF8oNHClQUGF1dVBBUkpQaDg/view?usp=sharing

Worksheets from Class
https://drive.google.com/file/d/0B2XYF8oNHClQZ0lBOE9tSF9mNzg/view?usp=sharing

https://drive.google.com/a/oconeeschools.org/file/d/0B2XYF8oNHClQV2NHTUc0T1ItMEE/view?usp=sharing

https://drive.google.com/a/oconeeschools.org/file/d/0B2XYF8oNHClQV3otWnJuZnJJWDA/view?usp=sharing

Cool Websites
https://www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/v/graphing-a-quadratic-function

http://www.purplemath.com/modules/grphquad.htm

https://www.youtube.com/watch?v=rnkk0rC9Gyo

http://www.mathwarehouse.com/quadratic/parabola/interactive-parabola.php

http://calculator.tutorvista.com/math/604/parabola-calculator.html

http://www.mathwarehouse.com/geometry/parabola/standard-and-vertex-form.php

http://www.vonsteuben.org/ourpages/auto/2010/2/23/60868648/Graphing%20Parabolas%20Worksheet%202%20with%20Answer%20Key.pdf

http://www.regentsprep.org/regents/math/algebra/ac4/pracpar.htm



PS:
Please get one of these...  I don't care where you buy it from.  I don't care if you use big sister's old one.  I don't care what kind of TI you get (or other brand, but I really really really like Texas Instruments calculators).  I can't make you buy one.  But, if you don't have access to a calculator and you have been trying to borrow one of the rescued calculators I have to solve the arithmetic problems you have not been able to solve on your own, then please please please get ahold of one to use.  You will be glad!

Analytic Geometry Stuff

One of the challenges of the numerous changes to mathematics curriculum in the state of Georgia throughout this millennium is that textbook companies do not tend to make specific textbook editions for the classes that our high schools are teaching.  Thus, we have become accustomed, as teachers and students, to not having textbooks in the classroom.

However, this millennium has also seen an explosion in the amount of resources available to us via the internet (ask an adult to comment on the cutting-edge technology that appeared at the beginning of the Tom Hanks movie, "You Got Mail").

To address this two things, I will try to keep up a semi-decent list of websites with tutoring guides, videos, and extra practice (worksheets, interactive problems, games) that might help students and friends and family members explore the mathematics we are learning in class.

You will have to communicate to me if this is helpful in any way.


PS: I have always liked Purplemath and Khan Academy.  Lots of great videos are on You Tube, of course.

Solving Quadratic Equations

http://www.purplemath.com/modules/solvquad.htm

http://www.wikihow.com/Solve-Quadratic-Equations

http://www.regentsprep.org/regents/math/algtrig/ate3/quadcompletesquare.htm

http://www.mathportal.org/calculators/solving-equations/quadratic-equation-solver.php   ---  Pretty Cool!

Analytic Geometry Quiz # 4

Wednesday, 9/2, is Quiz Day in Analytic Geometry.  Here are some problems for those who want some more practice on factoring, solving equations with factoring, and solving equations with completing the square.

AP Calculus AB Group Quiz # 2

Here is a link to the Group Quiz that will serve as our review for our first test.  This Quiz will be due to me on Wednesday, 9/9, and our test over the material will be on Friday, 9/11.

For the Group Quiz, students should only do Roman numerals I - VI and XIII and XIV.

Analytic Geometry Quiz # 2 tomorrow

I was putting this together for a parent and thought I'd share with everyone else.

Here is what we've worked on in class through the first 7 days of the semester:

In class we have worked with exponents and adding, subtracting, and multiplying polynomials.  Belwo are three links to Khan videoes for those concepts.

https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/negative-and-positive-exponents

Several on above page for exponents and simplifying

https://www.khanacademy.org/math/algebra-basics/quadratics-polynomials-topic/polynomial-basics-core-algebra/v/addition-and-subtraction-of-polynomials

Several on above page for adding and subtracting polynomials

https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial_tutorial/v/multiplying-polynomials

A couple on the above page for multiplying polynomials

Below are two worksheets you can find online that have the answers second.

http://cdn.kutasoftware.com/Worksheets/Alg1/Adding%20and%20Subtracting%20Polynomials.pdf

http://cdn.kutasoftware.com/Worksheets/Alg1/Multiplying%20Polynomials.pdf

Quiz # 1

Welcome back to school!  Here is a reminder to my 3rd and 4th block students that we are having our first quiz, covering exponent rules, today in class.

By the way, I hope you know what the product of 2 cubed and 3 squared is.

Test Review for Probability

Friday is our last test in Accelerated Probability.  Here is the review that we began working on today:

https://docs.google.com/document/d/1n2XbANzY_7Kuk0XLfUdZaX1YuQldoPTtDVf2H9I3m7k/edit?usp=sharing

Answers:

https://docs.google.com/document/d/1n2XbANzY_7Kuk0XLfUdZaX1YuQldoPTtDVf2H9I3m7k/edit?usp=sharing
































The Lewises are friends with a family of 5.  Two of the three kids attend NOHS (one is the drum major) and the other attends MBMS.  The difference in the oldest and youngest siblings is 6 years, with the middle one right in the middle.  The Lewis boys are finishing 2nd and 3rd grade next week.

Oops!

I was asked to put some practice on the blog and I forgot! If it's not too late, here is a link to some permutation and combination questions.

http://worksheets.tutorvista.com/permutations-and-combinations-worksheet.html

By the way, did I ever mention that my two sons were born in the same hospital in Athens ( though not the same day)?









Oh yeah, and if you share with me a picture of the Fundamental Counting Principle in action, I'll add five points to today's quiz in Accelerated Precalculus. If you're not in that class, you can do it and I'll add 5 points to a quiz in your class, if you're in one of my classes. If you're in none of my classes I'll give a reward to someone in my Accelerated Precalculus class who you pick.

An example would be a picture of the stuff you could buy at Relay tonight: three kinds  of hot dogs at this tent, 4 flavors of soft drinks at  another tent, and ten choices of candy  at another  tent.

 There must be at least three different choices (planets, moons, mythological characters, for example).  Deadline for reward is 8:00 AM Monday, 5/4/2015, and you can share with  me via e-mail or Twitter.  See me or email me if you have any questions. Offer valid only to current residents in the state of Georgia. Offer cannot be combined with other offers. Viewer discretion id's advised.

Been awhile....

It's been a long time since I updated or posted anything on the blog, but somebody reminded me about it today, so I figured I'd make an appearance since people were looking.

Here is a link to the word problems we worked on in class:

http://www.algebralab.org/practice/practice.aspx?file=Word_ApplicationProblemFor3EquationsWith3Variables.xml

We did problems # 5 and # 7.  Good luck to the Accelerated students who are taking the Matrix test tomorrow.

(By the way, tomorrow is Luke's 8th birthday.  He will turn 8 exactly at around 3:00 AM in the morning.  Seems like the kind of information you might like to have after lunch tomorrow...)