# For Period 3

In class today, we debriefed Tuesday‘s Jigsaw about Multiplying/Dividing Rational Expressions. Your homework is to do a few additional problems.

# For Period 8

We worked with adding and subtracting rational expressions today, modifying the usual “lowest common denominator” process to accommodate monomial denominators. We’ll do some more practice with this on Monday.

# AP Statistics Assignment for 10/17

We had a test today, so there is no homework apart from the extra credit puzzle you picked up when you turned in your test.

# Intro to College Algebra Assignment for 10/16

In class today, we debriefed yesterday‘s Jigsaw about Multiplying/Dividing Rational Expressions. Your homework is to do a few additional problems.

# Fractals & Chaos Recap for 10/16

One more chance to sign up for snacks for tomorrow’s Fractal Art Show!

In class today, we finished up the dimension classwork sheet and practiced how the segments of each fractal design that you measure to calculate its dimension can be used to recreate the fractal in FractaSketch (aka “stealing the template”). Neat!

We also have an important reading assignment: By Friday, October 18, please read Mandelbrot’s revolutionary paper that sparked the recognition of fractals and fractal geometry How Long is the Coast of Britain? You might also want to read this version, where Mandelbrot himself explains how he originally wrote this paper as a “Trojan Horse” to introduce his vision of fractal dimension into the scientific community conversation.

# AP Statistics Assignment for 10/16

Your mid unit test on chapters 6 and 7 will be tomorrow, Thursday, 10/7. See below for some links to the review we’ve done in class. Review these, your notes, and the textbook in your studies for tomorrow!

# Intro to College Algebra Assignment for 10/15

We started a jigsaw activity in class today, exploring the multiplication and division of rational expressions. You started out in groups examining three carefully worked out simplification, multiplication, and division problems. In step 2, you were given some additional examples of that same type of problem to complete in your groups. Step 3 will be to share what you’ve observed with some new people.

We didn’t quite get to finish Step 2 in class, so your homework is to do that on your own. Finish whatever problems you were working on in class. If you weren’t in class, take your pick of which type of problem to analyze and come to class tomorrow prepared to share.

# Fractals & Chaos Recap for 10/15

In class today, we worked on our fourth and final dimension classwork sheet (while a handful of stragglers turned in their Fractal Art Show designs) and looked at how the analysis we do to find the dimension of the shapes can be used to recreate them in FractaSketch. Neat!

We also have an important reading assignment: By Friday, October 18, please read Mandelbrot’s revolutionary paper that sparked the recognition of fractals and fractal geometry How Long is the Coast of Britain? You might also want to read this version, where Mandelbrot himself explains how he originally wrote this paper as a “Trojan Horse” to introduce his vision of fractal dimension into the scientific community conversation.

# AP Statistics Assignment for 10/15

We will have a test on chapters 6 and 7 on Thursday, October 17th. Today and tomorrow will be spent reviewing these two chapters.

Tonight, please work on the first linear regression review you got in class.

# InCA Assignment for 10/11

Today in class, we started with a Desmos activity exploring the similarity of reducing numeric fractions and simplifying rational expressions. They both involve factoring, then reducing the common factors away.

# Fractals & Chaos Recap for 10/11

Your FractaSketch designs were due today! You should be turning in one entry in three of the following categories:

• Fern
• Tree (or shrubs, bushes, weeds, etc.)
• Spiral
• Realistic (other natural phenomena)
• Artistic (patterns, designs, etc.)

On the back of each of your submissions, you should write your name, the category, a notation on which way is up, a title (for the realistic and artistic categories) and a note about whether it is an “official” work, i.e., one of the three expected from all students, or an “additional” work that you would like to be considered in an “Additional Works” category.

In addition, for one of your official submissions, I also need one template. You’ll need to take a screenshot of the template, including its arrows, and print that as a separate page. Use the “snipping tool” in Windows, and leave the image “actual size” (don’t blow it up). My goal is to fit all templates on a single piece of paper for a matching game as a part of the art contest.

Do not print the .png images directly! Instead, I recommend importing your images into a single Google Docs file, one image per page, and printing that document. This allows you to resize your images more convenient and generally makes the resolution of the images less grainy.

# AP Statistics Assignment for 10/11

There has been a significant change in plans.

Instead of the chapter 7 investigative task, posted yesterday, for homework please complete this worksheet, asking some questions about the relationship between distance flown and airfare of various flights.

Again: there is no investigative task due this weekend.

# inca: an important message

Just as an FYI there is NO HOMEWORK tonight (10/10). Here is the homework from 10/9, which will be checked in class tomorrow.

# Fractals & Chaos Recap for 10/10

Your FractaSketch designs are due tomorrow, Friday, October 11. Remember, I expect from each of you one entry in three of the following categories:

• Fern
• Tree (or shrubs, bushes, weeds, etc.)
• Spiral
• Realistic (other natural phenomena)
• Artistic (patterns, designs, etc.)

On the back of each of your submissions, you should write your name, the category, a notation on which way is up, a title (for the realistic and artistic categories) and a note about whether it is an “official” work, i.e., one of the three expected from all students, or an “additional” work that you would like to be considered in an “Additional Works” category.

In addition, for one of your official submissions, I also need one template. You’ll need to take a screenshot of the template, including its arrows, and print that as a separate page. Use the “snipping tool” in Windows, and leave the image “actual size” (don’t blow it up). My goal is to fit all templates on a single piece of paper for a matching game as a part of the art contest.

Do not print the .png images directly! Instead, I recommend importing your images into a single Google Docs file, one image per page, and printing that document. This allows you to resize your images more convenient and generally makes the resolution of the images less grainy.

# AP Statistics Assignment for 10/10

We will be referring again to the Tale of Two Cities activity from last week. Period 1 can find your data here, and period 7 students can find your data here.

Finish reading Chapter 7 (Pages 192-197). Also, watch this video from APStatsGuy, which gives a great explanation for how r^2, the Coefficient of Determination, is interpreted.

From pages 208-209, do 24a, 33, 34, and 48

# Fractals & Chaos Recap for 10/9

We spent some more time in class working on practicing our Generalized Hausdorf Dimension formula on the second batch of fractals you got on Monday, then started in on a third batch. We’ll spend tomorrow working on our FractaSketch designs (remember that they are due on Friday!)

I would also like you to read Pollack’s Fractals, an article from Discover Magazine about the math underlying Jackson Pollack’s famous paintings.  For some interesting follow-up reading, check out this article from the New York Times about the use of fractal analysis to examine the authenticity of supposed Pollack paintings and this article from the Science Daily blog suggesting that such an analysis is not scientifically valid.

# AP Statistics Assignment for 10/9

Continue reading chapter 7, pages 181 to 192

From the exercises on pages 199-200, do 16, 18, 22, 23

# Fractals & Chaos Recap for 10/8

We spent the day working on FractaSketch again. Your submissions for the Fractal Art Show are due this Friday, October 11. Remember, I expect from each of you one entry in three of the following categories:

• Fern
• Tree (or shrubs, bushes, weeds, etc.)
• Spiral
• Realistic (other natural phenomena)
• Artistic (patterns, designs, etc.)

Again, each student will be submitting three entries, each falling in a separate category. You are welcome to submit more designs if you would like, but they will be placed in a separate “Additional Works” category.

In addition, I will want you to submit the template for one of those official submissions for a template/design matching challenge.

Please feel free to work on your designs outside of class and transfer them to the laptops we’ve been using in class.

# AP Statistics Assignment for 10/8

Start reading chapter 7, pages 176-181 (up to “Regression in Real Units”)

From 198-201, do 1, 3, 5, 14, 15, 31

# Fractals & Chaos Lesson Recap for 10/7

We started class today with a quick visit to H Courtyard to observe and analyze the dimension of the fractals found there, then came back to class and practiced our Generalized Hausdorf Dimension formula on a new batch of fractals. We’ll spend tomorrow working on our FractaSketch designs (remember that they are due on Friday!)

Tonight, take a look at this article from Nature: Fractal secrets of Rorschach’s famed ink blots revealed

# inca hw 1.21: unit 1 test review and solutions

Here is a copy of the Unit 1 Test Review as well as solutions for the review. The test will be tomorrow (10/8). And as a reminder, the corrections for Quiz #2 are due tomorrow as well.