Today's soundtrack is Christmas With the Mills Family, a Spotify playlist that includes my favourite Christmas songs. This afternoon, I'm learning how to complete the square to convert a quadratic function from the general form to the standard form. The general form is the least useful quadratic form; in it, "most characteristics of the graph … Continue reading 12.01.2018: One Lesson of Math – Equivalent Forms of a Quadratic Function, Part 1
Category: Math
11.29.2018: One Lesson of Math – Quadratic Function in Vertex Form, Part 4
Today's soundtrack is Liquid Tension Experiment: Liquid Tension Experiment, an experimental progressive instrumental rock album by some of the members of Dream Theater (and friends). This afternoon, I'm working on [what I hope will be] the last part of this lesson about the vertex form of the quadratic formula. Links to previous sessions: part 1, … Continue reading 11.29.2018: One Lesson of Math – Quadratic Function in Vertex Form, Part 4
11.28.2018: One Lesson of Math – Quadratic Function in Vertex Form, Part 3
Today's soundtrack is Meshuggah: Chaosphere, perhaps the best album from the grandfathers of djent. Their music video for the song "New Millenium Cyanide Christ" is hilarious. This afternoon, I'm working on the assignment portion of the lesson I did on the quadratic function in vertex form. Parts one and two are here and here. Through … Continue reading 11.28.2018: One Lesson of Math – Quadratic Function in Vertex Form, Part 3
11.26.2018: One Lesson of Math – Quadratic Function in Vertex Form, Part 2
Today's soundtrack is Living Sacrifice: Conceived in Fire, one of my favourite Christian metal albums. This afternoon, I'm continuing on to the second portion of the lesson I just did about the vertex form of the quadratic function. To graph a quadratic function from its vertex form, we do the following: Compare the equation with … Continue reading 11.26.2018: One Lesson of Math – Quadratic Function in Vertex Form, Part 2
11.25.2018: One Lesson of Math – Quadratic Function in Vertex Form, Part 1
Today's soundtrack is Tchaikovsky: Masters of Classical Music, Vol. 6. This afternoon's lesson is "Analyzing Quadratic Functions of the Form y = a(x - p)² + q". Now, I've never heard of this form, so I did a Google search on it and found a video on Khan Academy which says that there are three … Continue reading 11.25.2018: One Lesson of Math – Quadratic Function in Vertex Form, Part 1
11.24.2018: One Lesson of Math – Properties of a Quadratic Function, Part 3
Today's soundtrack is Shai Linne: Storiez, a collection of (of course) stories about people from different places and times coming face-to-face with circumstances that test their faith. This afternoon, I'm working on the assignment portion of the quadratic function lesson. Parts 1 and 2 of the lesson can be found here and here. The very … Continue reading 11.24.2018: One Lesson of Math – Properties of a Quadratic Function, Part 3
11.22.2018: One Lesson of Math – Properties of a Quadratic Function, Part 2
Today's soundtrack is Petra: Jekyll and Hyde, which I still thought of as being a fairly recent album until I looked up the artwork for today's post and realized that it was released in 2003. It's fifteen years old. I bought it shortly after it was released. Time flies when you're having fun, I guess. … Continue reading 11.22.2018: One Lesson of Math – Properties of a Quadratic Function, Part 2
11.21.2018: One Lesson of Math – Properties of a Quadratic Function, Part 1
Today's soundtrack is Rush: Moving Pictures, which I think is one of the greatest albums of all time. Neil Peart's drumming is incredible, and I'm blown away by Geddy Lee's virtuosity on the bass. He really treats it like its own instrument; it dances gracefully with the guitar, confident in its own right. And, of … Continue reading 11.21.2018: One Lesson of Math – Properties of a Quadratic Function, Part 1
11.19.2018: One Lesson of Math – Test Day!
Today's soundtrack is Symphony X: Iconoclast. This album was a Christmas gift from my wife a few years back. It has some really cheesy moments lyrically, but musically, it's solid. This afternoon, I wrote my Unit 3 test on quadratic equations. I think it went really well. *Update: 98%!
11.18.2018: One Lesson of Math – Unit Review
Today's soundtrack is Nine: Original Motion Picture Soundtrack, a fun, raunchy, and unexpectedly tender-hearted album. I've seen both the film and the live performance, and both are wonderful experiences. This afternoon, I'm doing my Unit 3 Review in preparation for my test tomorrow. This section has covered factoring polynomial expressions, solving quadratic equations by factoring, … Continue reading 11.18.2018: One Lesson of Math – Unit Review
11.17.2018: One Lesson of Math – Interpreting the Discriminant
Today's soundtrack is Shawn McDonald: Simply Nothing. "Take My Hand" is by far my favourite track on the album; it brings me back many years to a time of seemingly endless possibilities. We can interpret the discriminant of a quadratic equation to determine the number of roots that a quadratic equation has - without needing … Continue reading 11.17.2018: One Lesson of Math – Interpreting the Discriminant
11.16.2018: One Lesson of Math – Quadratic Formula Homework, Part 3
Today's soundtrack is Evanescence: The Open Door. This evening, I'm continuing to work on my assignment from the Quadratic Formula lesson. The first two parts of my homework can be found here and here. It was a lot of work, but I've finally finished this section. One problem that I ran into was on a … Continue reading 11.16.2018: One Lesson of Math – Quadratic Formula Homework, Part 3
Steven Mills 