12.04.2018: One Lesson of Math – Analyzing Quadratic Functions in the General Form

~ Steven C. Mills

Today's soundtrack is Christmas With the Mills Family, a Spotify playlist that includes my favourite Christmas songs. I've already learned how to use the quadratic formula to work with the general form of the quadratic equation; after that, I learned how to determine the characteristics of a quadratic function in the vertex form. Today, I'll … Continue reading 12.04.2018: One Lesson of Math – Analyzing Quadratic Functions in the General Form

12.03.2018: One Lesson of Math – Equivalent Forms of a Quadratic Function, Assignment Portion

~ Steven C. Mills

Today's soundtrack is King Crimson: In the Court of the Crimson King, an album that I appreciate all the more with the passing of time. The older I get, the more I've fallen in love with the sounds of the mellotron, and that instrument is used to great effect on this album. This afternoon, I'm … Continue reading 12.03.2018: One Lesson of Math – Equivalent Forms of a Quadratic Function, Assignment Portion

12.02.2018: One Lesson of Math – Equivalent Forms of a Quadratic Function, Part 2

~ Steven C. Mills

Today's soundtrack is Christmas With the Mills Family, a Spotify playlist that includes my favourite Christmas songs. Yesterday, I learned how to convert a quadratic function from general form to standard form if a > 0. This afternoon, I'll be working on the next step: converting when a < 0. We use the following method … Continue reading 12.02.2018: One Lesson of Math – Equivalent Forms of a Quadratic Function, Part 2

12.01.2018: One Lesson of Math – Equivalent Forms of a Quadratic Function, Part 1

~ Steven C. Mills

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

11.29.2018: One Lesson of Math – Quadratic Function in Vertex Form, Part 4

~ Steven C. Mills

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

~ Steven C. Mills

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

~ Steven C. Mills

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

~ Steven C. Mills

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

~ Steven C. Mills

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