04.17.2019: One Lesson of Math – Circular Functions, 7/10: Sinusoidal Functions with Rational Periods

Today's soundtrack is Lecrae: Rehab, a solid rap album with a positive message. So far, we've been working with functions whose periods were irrational. Today, we'll be learning about trigonometric functions with rational periods. In yesterday's lesson, we learned that we can determine the period of a trigonometric function by using the equation p=2π/b. But … Continue reading 04.17.2019: One Lesson of Math – Circular Functions, 7/10: Sinusoidal Functions with Rational Periods

04.16.2019: One Lesson of Math – Circular Functions, 6/10: Transformations of Trigonometric Functions, Part 2

Today's soundtrack is The Everly Brothers: Bye Bye Love, a compilation of their hits. This morning, I'm continuing where we left off yesterday in learning about the various transformations that we can apply to trigonometric functions. So we already know how to phase shift (horizontally translate), change the amplitude (vertically expand or compress), and vertically … Continue reading 04.16.2019: One Lesson of Math – Circular Functions, 6/10: Transformations of Trigonometric Functions, Part 2

04.15.2019: One Lesson of Math – Circular Functions, 5/10: Transformations of Trigonometric Functions, Part 1

Today's soundtrack is Tegan and Sara: The Con, an album that reveals more of its true complexity and brilliance with every listen. This afternoon, I'm learning about the different ways that we can change the graph of a trigonometric function. There are some new terms that we'll be learning today. I want them all in … Continue reading 04.15.2019: One Lesson of Math – Circular Functions, 5/10: Transformations of Trigonometric Functions, Part 1

04.14.2019: One Lesson of Math – Circular Functions, 4/10: Graphing the Sine and Cosine Functions

Today's soundtrack is The Tragically Hip: Music @ Work, a rock album by this Canadian band. I accidentally spilled coffee on my textbook. Fortunately, I own this book, but I still drew an apology note for my teacher. This afternoon, I'm learning how to graph the sine and cosine functions. Sine and cosine functions go … Continue reading 04.14.2019: One Lesson of Math – Circular Functions, 4/10: Graphing the Sine and Cosine Functions

04.12.2019: One Lesson of Math – Circular Functions, 3/10: Exact Values, Special Angles, and Reciprocal Trigonometric Ratios

Today's soundtrack is Lil Wyte & Jelly Roll: No Filter, a collaborative rap album that I blasted in my car for months when I first got it. I was going through some rough stuff at the time, and this album helped me get through. I was working a stressful physical nightshift job at the time; … Continue reading 04.12.2019: One Lesson of Math – Circular Functions, 3/10: Exact Values, Special Angles, and Reciprocal Trigonometric Ratios

04.11.2019: One Lesson of Math – Circular Functions, 2/10: Sine, Cosine, and Tangent Functions of Angles in Standard Position

Today's soundtrack is Primus: Tales From the Punchbowl, a really weird album with great musicianship. Primus sucks btw. This afternoon, I'm learning about the sine, cosine, and tangent functions of angles in standard position. I started by watching this video as an introduction to the subject. Let's start by looking at the sine-cosine functions. When … Continue reading 04.11.2019: One Lesson of Math – Circular Functions, 2/10: Sine, Cosine, and Tangent Functions of Angles in Standard Position

04.10.2019: One Lesson of Math – Circular Functions, 1/10: Radian Measure – Angles in Standard Position

Today's soundtrack is Brahms: Symphony #4. This afternoon, I'm learning about angles in standard position. Some of the terminology will be familiar, as I covered angles in standard position in these three lessons back in January. We can measure the angle of something either in degrees or in radians. What is a radian, though? To … Continue reading 04.10.2019: One Lesson of Math – Circular Functions, 1/10: Radian Measure – Angles in Standard Position