We expanded on compound interest today, extending the concept to the idea of “compounding continuously,” which in turn led us to the fascinating mathematical constant of e. If you’re interested in learning more about e, click the link!
- Homework: HW 9.9 – Compounding Continuously
- Lesson video 1 – The is the Numberphile video we watched in class, explaining what e is and some of the interesting things it does.
- Lesson video 2 – Skip to the 14:30 mark for information on compounding continuously, but the first bit is a great review of other compound interest problems.
For Wednesday, take a look at Topic 14 from your review book, which is all about the Investigative Task of the AP exam (Free Response question 6). You should do at least exercises 1, 3, and 6 from that section.
Finish the 2nd practice exam. We probably won’t have time enough to go over everything in class on Monday, so please post questions here, or reach out by email!
Continuing with the unit on exponential functions, today we spent some time working on creating functions that model real-world data.
Our first taste of review for finals: HW 9.6 – Post-Quiz HW. One side is factoring polynomials. The other side is solving equations with fractions. Do either side, your choice, for a HW credit. Do both sides for extra credit on the quiz.
For Friday, you should get started on Practice Exam 2 from your review book. Specifically, you should get at least multiple choice questions 1-20 and free response questions 1, 2, 3 done.
We’re otherwise taking a break from review for the rest of this week to get started on final projects. You can find all information about the projects and expectations in the Google Drive folder here.
Your practice AP exam is tomorrow, May 1st, at 8:00 am in the small gym. We will start promptly at 8, so don’t be late! Bring pens and pencils (though preferably just pencils) and your calculator. Bring nothing else.
Your grade on this exam will count towards your 4th marking period grade. There is not “final exam” component to your overall average; your final grade for the course is the average of the four marking periods.
Today, we revisited the exponential growth and decay functions we first saw with the M&Ms activity on Wednesday, and we formalized our notation and vocabulary a bit.
Set aside 90 minutes this weekend and complete the 2016 Free Response section (pages 6 to 12 in the pdf linked)
Finish the 2017 Free Response questions. We’ll grade the remaining problems we didn’t get to in class tomorrow.
We started Unit 9 today, a unit that is partially review and partially new content around exponential functions. Our first lesson used M&Ms to model exponential growth and decay. If you were in class today, you should finish the lab sheet for the activity. If you were not in class today, your homework is HW 9.1 – Investigating Exponential Functions
Finish Practice Exam 1 from the review book. We’ll discuss questions briefly tomorrow, but the majority of our time will be spent taking a look at the Free Response questions from the 2017 exam.
After your test today, you got the usual two-sided assignment. Do either side, your choice which, for a homework credit. Do both sides for extra credit on the test.
Start working on Practice Exam 1, multiple choice questions 1-15 and free response questions 1, 2, and 3.
Finish the multiple choice from Topic 7 (p 191), then do Free Response questions 6 and 8.