Intermediate Algebra Assignment for 1/16

Our test is on Friday, January 18th and today we started reviewing.

Today’s Files

Cumulative IXL Modules

Intermediate Algebra Assignment for 1/15

We revisited solving quadratic equations today, now with the capability of evaluating negative radicands!

Today’s Files

Cumulative IXL Modules

Intermediate Algebra Assignment for 1/14, plus Test Warning

As we continue to explore the use of i to represent the square root of -1, and the consequences that such a definition involves, we revisited the topic of rationalizing today, and noted that since i is a square root, the rules of Simplest Radical Form require that we not leave i in the denominator of a fraction.

Our test on Unit 4 will be on Friday, January 18th. Please do not be absent on that day! If you know for some reason that you will be absent on that day, please arrange a time before the 18th to take the test! Otherwise, we will have to schedule a time for you to take the test during exam week.

Today’s Files

Cumulative IXL Modules

Intermediate Algebra Assignment for 1/11

More work with imaginary numbers today, in particular simplifying expressions that involve multiplying them or with higher powers. We saw in the videos we watched yesterday that powers of i don’t increase like other real numbers, but instead cycle through the numbers 1, i, -1, -i, and then back to 1 again.

Today’s Files

Cumulative IXL Modules

Fractals & Chaos Recap for 1/10

Download Fractal Zoomer.exe from here (don’t click the green button, that downloads something else). Use the navigation guidelines posted yesterday to help you use the program.

Play around with the program, but do so with intent. I have a few things I want you to explore:

  • Take unusual values of C from the Complex Paint worksheet and verify the connected/disconnectness of the corresponding Julia Set
  • Explore: Where in the Mandelbrot Set can we find values of C that correspond to area versus string Julia Sets?
  • Explore: What is the relationship between the location of C in the Mandelbrot Set and the orbit pattern within the corresponding Julia Set?
  • Challenge: We saw earlier that orbits of quadratics can contain up to Nine 6-cycles. Some are attracting, some are repelling, but most are complex. Can you find all nine of them in the Mandelbrot Set?

Also, if you’re interested in learning a bit more about three dimensional fractals, check out the game or information linked here.

Intermediate Algebra Assignment for 1/10

We’ve started the second section of Unit 4, learning about complex and imaginary numbers. This is a new category of number, much like irrational or negative numbers, that mathematicians developed to handle equations that they previously had no ability to solve. We watched two videos to introduce this topic, but I recommend you watch the full story found here.

Today’s Files

Cumulative IXL Modules

Intermediate Algebra Assignment for 1/7

First, a reminder of the homework protocol.

  • Homework is assigned every day and due the following day. Homework is assigned every day and due the following day.
  • Late assignments will be accepted ONE day late for half-credit.
  • If you are ABSENT FROM CLASS, you are expected to turn in the assignment you would have submitted on that day on the day that you return. You will be given one additional day per day of absence to turn in the assignments you missed.
    • For example: Goofus is present on Monday and absent on Tuesday. On Wednesday, he must turn in Monday’s homework, and he has until Thursday to turn in Tuesday’s assignment. He gets no extra time on Wednesday’s assignment; that is due Thursday also.
  • If you are having difficulty with an assignment, it is your responsibility to arrange extra help. We usually have time to discuss one or two topics in class, but if that’s not enough please come and see me!
  • New for 2019: Any student who has 3 or more unexcused missing assignments will be assigned a lunch or after school detention to make up the missing work. This work will or will not be accepted for credit based on my discretion!

Your quiz on the first part of Unit 4, all about rewriting radical expressions in Simplest Radical Form, is tomorrow. We made a study guide today, linked below, and got a review sheet that will be collected for homework tomorrow. The solutions are posted below as well.

Today’s Files

Cumulative IXL Modules

Intermediate Algebra Assignment for 1/4, plus Quiz Warning

Still more work with simplifying radical expressions today, now with expressions that include variable components. The method of dealing with these terms, fortunately, is fairly straightforward.

We will have a quiz on our work in this unit so far on Tuesday, January 8th.

Today’s Files

Cumulative IXL Modules

Intermediate Algebra Assignment for 1/3

Radical expressions aren’t just for undoing powers of two, there are in fact roots for every conceivable power you might use as an exponent. Our lesson today was evaluating “n-th” (pronounced “ennth”) roots.

Today’s Files

Cumulative IXL Modules