My Session Schedule, Spring 2016
[box] Monday 1-2pm, Richardson Library 105
Wednesday 11:30-12:30pm, Richardson Library 105
Office Hour – Tuesday 4-5pm Richardson Library 111 [/box]
Can’t attend any of my sessions? Feel free to check out other MAT 131 SI leaders’ schedules here.
Hello! My name is April Marini, and I graduated from the University of Kentucky in 2015 with a Bachelor’s Degree in Mathematics. I am currently a graduate student studying Secondary Education with a focus in Mathematics. When I graduate, I will be a high school math teacher in the Chicago area. I’m super excited to be an SI Leader this quarter!
This week, we are working in chapter 8, which deals with triangles. We are learning about the law of sines and the law of cosines.
Law of Sines:
Law of Cosines:
This week, we covered sections 7.5 and 7.6. There are a lot of different formulas for the problems in these sections. Some of them are listed below.
Sum and Difference Formulas:
Double Angle Formulas:
Half Angle Formulas:
It would definitely be a good idea to have this section of the textbook open while you are doing your homework this week so that you can use the different formulas that are outlined in there!
In order to figure out exactly which angle we are looking for when solving trig inverse problems, we need to look at the domain and range of our inverse functions. The following definitions from your book are really helpful when trying to solve these problems! These definitions are in section 7.1.
This week, we were introduced to the inverse trig functions. These are confusing for a lot of different reasons, and I know that some students were struggling with wrapping their brains around this concept. This website has a great explanation about the inverse trig functions, as well as some practice problems!
For example, when we are looking for the inverse cosine of a value, we are actually looking for the angle that has the cosine of that value. The picture below describes what I’m trying to say here:
I know a lot of people were having trouble with the steps for find the equation for sine regression for a set of numbers on their calculator. The following pdf shows the step-by-step process for how to do these types of problems on your calculator. (Found at this website.)
This week is all about graphing our different functions. Learning how the graphs of sine, cosine, and tangent are compressed, stretched, shifted, et cetera can be pretty confusing! I don’t normally like watching Khan Academy when learning about mathematics, but I think that this one has a great explanation of how to find the amplitude and period of trig functions. Check it out below:
This week during the SI Sessions, we were able to clarify a lot of what our professor went over in lecture. The following pictures of sine, cosine, and tangent graphs were particularly helpful when figuring out the domain and range of these functions!
Once the class really gets going, I will be posting hints and reminders here about the topics covered in class. This week, I thought we would start off with some general studying strategies to get our quarter rolling. So without further ado, here are some super study tips to start off the quarter with!
- Utilize a calendar or planner.
- Planning out your assignments with a planner can help you stay on top of all of your assignments! I have found it so much easier to plan out my quarter with all of my assignments by filling out my planner once I have all of my syllabi in front of me. Most professors put a schedule into their syllabus, so that makes it easy to plan out your weeks.
- When doing assignments, make sure you are working in a clean, organized space.
- It’s also best to study in the same place so that your brain knows to switch into “school mode.” Developing this habit will help you focus!
- Study before bedtime.
- Studies have shown that the best way to remember information later is to study and then sleep on it. Literally.
- Space out your studying.
- A technique called spaced repetition is perfect for studying. Especially math, where you don’t want to try to cram everything into your brain at one time!
- Write out what you’re thinking.
- There have been multiple research studies that suggest we store information more securely when we handwrite things rather than when we type. See this website for more information about how writing helps us learn.
- Take a break!
- It’s healthy for your mind to take breaks when you are studying hard! Taking regular breaks can boost productivity and improve our ability to focus on a single task.
- Find out what works best for you, and stick with it!
- Some people are early birds, some are night owls; some prefer to study with a pal, some prefer to study alone; some people like to listen to music while studying, others need complete and total silence. Experiment to find what’s most effective for you, and then stick with it!