AP Statistics Assignment for 11/28

Continue to think about project ideas. You’ll have all day tomorrow to work on the proposal form (found in the Google Drive folder here).

And don’t forget about your test on Friday. The review assignment, due Thursday, is 1, 3, 7, 9, 11, 15, 19, 20, 23, 29, 32, 40, 41 from pages 331-336 in the textbook

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Intermediate Algebra 2 Assignment for 11/27

We will have a quiz on the first part of Unit 3 on Wednesday, November 29. It will cover all of the work about parabolas that we have done, including today: Finding key features with the calculator. The notes from today can be found here, and your homework is HW 3.6. If you need a refresher on using your calculator, check out the video here (it uses a non-parabola graph, but the commands are the same).

Cumulative IXL Review Modules

Fractals & Chaos Assignment for 11/27

We explored the behavior of the Logistic Population formula some more and formulated a few questions:

  1. The end behavior of iterations is a single fixed point up to a = 3.0, and at a = 3.1, the population has bifurcated into a two-cycle. Question 1: At what value of a does this bifurcation actually happen?
  2. There is a two-cycle up until a = 3.4, with a four-cycle at a = 3.5. Question 2: Do both points of the two-cycle bifurcate simultaneously, or does one split before the other? In other words, can you find a three-cycle between a = 3.4 and a = 3.5?
  3. After a = 3.6, we observe bands of chaos. Question 3: Once chaos appears, is that it? Or is there something to be found between bands of chaos?

Intermediate Algebra 2 Assignment for 11/21

We did some IXL practice in class today while I met with students individually. Whatever modules you didn’t finish in class are due on Monday (for a separate HW credit each!)

 

Intermediate Algebra 2 Assignment for 11/20

The parabolas we’ve been working with in class so far are graphs of quadratic equations, of the form f(x) = ax^2 + bx + c. Today, we practiced using graphing technology (either your graphing calculator or http://www.desmos.com/calculator) to graph parabolas and identify the key features. You can find the notes here, and your homework is HW 3.4 – Graphing Parabolas.

Cumulative IXL Review Modules

Fractals & Chaos Assignment for 11/20

Finish question 5 from Iterated Functions, using the apps on MathInsight.org. Note that all of these functions have fixed points at zero, where the instantaneous slope at zero is equal to 1. This creates some interesting behavior for some fixed points, so make sure you check the behavior of seeds on either side of the fixed point.

Intermediate Algebra 2 Assignment for 11/17

We explored parabolas some more with yet another Desmos activity today, formalizing our vocabulary for the key features of the graph. You can find the notes uploaded here, and the homework for the weekend is some practice at identifying these key features: HW 3.3 – Parabola Key Feature Vocabulary.

Cumulative IXL Review Modules

Intermediate Algebra 2 Assignment for 11/15

We started unit 3 with a Desmos activity, and your homework tonight is to reflect on what happened. Please consider the following two questions:

  1. Describe one thing that you learned from the Will It Hit the Hoop Desmos activity from class?
  2. What else do you think you could use a parabola to model the shape/path of?

I’ll be collecting your answers to these in class tomorrow, as well as asking you to share them with the class.

Fractals & Chaos Assignment for 11/15

Continue working on the Iterated Functions sheet from Tuesday, this time finishing part 1 (f and g) and doing 3a, b, and c. Identify the value of the fixed point, and classify it as Attracting/Repelling/Neutral and Direct/Alternating. In addition, for 3a, create both a time diagram and a cobweb diagram, but you can just do a cobweb diagram for 3b and 3c. Try to pay attention to the patterns of the cobweb diagram and how these patterns line up with the classifications of the fixed point.

Fractals & Chaos Assignment for 11/14

We have started down the path of understanding the mathematics of chaos. Today for homework, please continue your work with the Iterated Functions sheet you got in class. Specifically, you should do 1d, 1e, and all of 2. Find the value of the fixed point and classify it as an attractor or a repeller. Pay attention to any patterns you might observe in the expression you are iterating and the behavior of its iterations.

Intermediate Algebra 2 Assignment for 11/13

Your Unit 2 test is tomorrow! You should be well prepared at this point. Use the Study Guide you made over the weekend and the second Test Review sheet you got in class today (answers can be found here). And do some more practice with IXL!

Cumulative IXL Review Modules