Fractals & Chaos Recap for 10/16

We’ve finalized our fractal designs and everyone has submitted their works. We will have our Fractal Art Gala on Thursday, October 18. Please be sure to bring in some snacks to share!

For Wednesday, you should 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.

Intermediate Algebra Assignment for 10/16

We reviewed multiplying rational expressions today (remember: you must simplify before you multiply) and then introduced dividing rational expressions, which is really just more multiplying.

Today’s Files

Cumulative IXL Modules

 

Intermediate Algebra Assignment for 10/15

In today’s class we discussed how to multiply rational expressions.  It is important that you always simplify the rational expressions that you are multiplying before you multiply.  A copy of today’s class notes are linked below as well as tonights homework assignment.  In addition, there is are practice IXL links that you are encouraged to work on if you have a difficult time with the homework.

Copy of class notes: Multiplying Rational Expressions

HW 2.2- Multiplying Rational Expressions

IXL Practice
N.4- Simplifying Rational Expressions
N.5 – Multiplying and Dividing Rational Expressions

Fractals & Chaos Recap for 10/15

Please sign up for snacks for next week’s Fractal Art Show

Your fractal art designs are due! By today, you should have turned in one submission in three of the following categories

  • Fern
  • Tree
  • Spiral
  • Realistic
  • Artistic

All works should have 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 try to make it small. My goal is to fit all templates on a single piece of paper.

Do not print the 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 appropriately and generally makes the resolution of the images less grainy.

Intermediate Algebra Assignment for 10/12

Today was the first day of Unit 2, rational expressions.  In class we discussed how to simplify rational expressions, and how to find the “reducing agent”.  Remember NO TERM CHOPPING.  This weekends homework is HW 2.1- Simplifying Rational Expressions, which is attached below.  A copy of todays notes as well as the IXL from today is also attached below.

Class Notes- Simplifying Rational Expressions

HW 2.1- Simplifying Rational Expressions

IXL Practice- Simplifying Rational Expressions

AP Statistics Assignment for 10/12

Your homework this weekend is to complete the Chapter 7 Investigative Task. It will be due at the start of class on Monday the 15th, and as usual, your response should be completed in a Google Document and submitted to me (bkirk@icsd.k12.ny.us). Please name your file appropriately.  The file name should have the format “LastName.FirstName.Ch7InvTask”. For example, mine would be “Kirk.Benjamin.Ch7InvTask”.

You will want to use Stapplet, this time the Two Quantitative Variables app, to create your scatterplot and other analysis. Remember that you can take a screenshot of just a portion of your Chromebook screen by using the Ctrl+Shift+Window Switch buttons.

Also, I want you to start to use the Chrome extension EquatIO for creating your equations. The built-in Google Docs equation editor is good, but EquatIO is a much more robust editor that allows you to create complicated equations quickly and easily. You can find a quick video of how it works here.

Greetings IHS Parents/Caregivers!

Hello and welcome to my website!  As I mentioned during the open house, I use this site to communicate with students, parents, and whomever else might be interested outside of class.  On this site, you can find assignments, announcements, links to instructional videos and online review, copies of handouts I distribute in class, and the occasional mathematical musing.

Please take some time to check out this website.  If you’re looking for a course syllabus or other information, you can find it under Course Information above.  If you’re wondering about how to obtain some extra help for your student, I recommend checking the Contacting me and Getting Help link above.  For more general information about what you can find on this site, check out the welcome post from the beginning of the year.  Thanks for stopping by!

Fractals & Chaos Recap for 10/11

For Monday, read this article from Nature about the connection between fractals and the famous Rorschach inkblot test.

Please sign up for snacks for next week’s Fractal Art Show

A reminder that the due date for our Fractal artwork will be Monday, October 15th.

On Monday, you will turn in one submission in three of the following categories

  • Fern
  • Tree
  • Spiral
  • Realistic
  • Artistic

All works should have 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 will be collecting one template. You’ll need to take a screenshot of the template, including its arrows, and print that as a separate page.

I recommend importing your images into a single Google Docs file, one image per page, and printing that document. This seems to work well.

Intermediate Algebra Assignment for 10/10

Tomorrow we will be having our Unit 1 Exam.  Therefore, today in class we continued to review for the exam.  Tonights homework is to complete Unit 1 Exam Review #2, which is attached below.
IMPORTANT: 2nd Period
If you missed today’s class due to the PSAT, please stop by Mr. Kirk’s classroom in order to get a copy of the review sheet and the answer key.

Please feel free to work on any of the linked IXL from yesterday’s post for additional practice.

HW 1.20- Unit 1 Exam Review #2

Intermediate Algebra Assignment for 10/9

We will be having our unit 1 exam this Thursday, October 11.  Today in class we started reviewing for the exam.  Tonights homework is to complete the review packet that was given in class, and is attached below.

HW 1.19- Unit 1 Exam Review 1

Unit 1 Exam Information:

This exam will cover everything from the first day of school.  The unit was broken down into 3 sections, each section ending with a quiz. It is highly recommended you look over your old quizzes and homework.

Quiz 1 Included:
Evaluating expressions (PEMDAS), solving linear equations, solving linear inequalities, and solving absolute value equations.
Quiz 1 Cumulative IXL
A.2 Evaluate variable expressions involving rational numbers
B.1 Solve linear equations
B.4 Solv absolute value equations
C.2 Write inequalities from graphs
C.4 Solve linear inequalities
C.5 Graph solutions to linear inequalities

Quiz 2 Included:
Polynomial Vocabulary, Polynomial operations, Translating Expressions and word problems.
Quiz 2 Cumulative IXL
Z.1- Polynomial vocab
Z.4- Add and subtract polynomials
Z.6- Multiply a monomial by a polynomial
Z.8- Multiply two binomials
F.1- Perimeter problems
F.3- Perimeter and area word problems

Quiz 3 Included:
Factoring a Greatest Common Factor, Factoring the difference of two perfect squares, factoring trinomials with the leading coefficient as a=1, and factoring trinomials with the leading coefficient a≠1.
Quiz 3 Cumulative IXL
AA.2- Factoring out a monomial
AA.3: Factoring Quadratics Using Algebra Tiles
AA.4- Factor quadratics with leading coefficient as 1
AA.5- Factor quadratics with other leading coefficients
AA.6- Difference of perfect squares (special cases)

Fractals & Chaos Recap/Assignment for 10/9

Please sign up for snacks for next week’s Fractal Art Show

We have decided that the due date for our Fractal artwork will be Monday, October 15th.

On Tuesday, you will turn in one submission in three of the following categories

  • Fern
  • Tree
  • Spiral
  • Realistic
  • Artistic

All works should have 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, 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 will be collecting one template. You’ll need to take a screenshot of the template, including its arrows, and print that as a separate page.

Today also starts a series of more recent articles on how Fractals are being used in today’s research. To start this off, check out this article from The Atlantic about why fractals can be so visually soothing

Intermediate Algebra Assignment for 10/4

Today we reviewed factoring quadratic expression.  Tomorrow we will be having our partner quiz on factoring.  Attached below is a copy of tonights homework as well some additional IXL practice.

HW 1.17- Factoring Review

Cumulative IXL Practice

AA.2- Factoring out a monomial

AA.3: Factoring Quadratics Using Algebra Tiles

AA.4- Factor quadratics with leading coefficient as 1

AA.5- Factor quadratics with other leading coefficients

AA.6- Difference of perfect squares (special cases)

AP Statistics Assignment for 10/4

We will have a short quiz on Chapter 6 tomorrow, based on the reading, homework, and what has been discussed in class. Tonight, please finish reading chapter 6 (though skip the section on straightening an association for now; the quiz will not include that section).

In class today, watch this video for more on how the correlation coefficient is actually calculated. Note that while this video divides by n, we would always use n-1 (though we will never actually calculate r by hand).

Read pages 163-166, then exercises 27, 28, 29, and 40 from pages 171-173.

AP Statistics Assignment for 10/3

Read pages 154-161 (up to the section on “Straightening”). From the exercises on pages 168-173, do 9, 10, 14, 15, 41, 42.

There will be a reading quiz about this section in class tomorrow, and we will have a more thorough, though short, quiz on chapter 6 on Friday, October 6.

Also, check out Guess the Correlation, a surprisingly addictive online game where you, surprise, surprise, guess the correlation value for a randomly created association. How high can you get your score?

Intermediate Algebra Assignment for 10/2

Today’s lesson we discussed factoring trinomials using the product sum method, and making educated guesses and checks to find the factors of more difficult quadratics.  A copy of the lesson notes are attached below.  As well as, the homework and practice IXL work.

Class notes: Factoring Trinomials

Here is tonights homework, HW 1.15- Factoring Trinomials (Day 2)

Cumulative IXL Additional Practice

AA.2- Factoring out a monomial

AA.3: Factoring Quadratics Using Algebra Tiles

AA.4- Factor quadratics with leading coefficient as 1

AA.5- Factor quadratics with other leading coefficients

AA.6- Difference of perfect squares (special cases)