Category: Math

12.16.2018: One Lesson of Math – Solving Quadratic Inequalities in One Variable, Part 3

~ Steven C. Mills

Today's soundtrack is The Sylvia Platters: Melt, a catchy, atmospheric, and unexpectedly cheerful shoegaze/pop EP from the Vancouver-based band. This evening, I'm continuing work on the lesson I did on quadratic inequalities. Links: Part 1, Part 2. I learned while working on my homework that sometimes we'll be presented with quadratic inequalities in strange arrangements, … Continue reading 12.16.2018: One Lesson of Math – Solving Quadratic Inequalities in One Variable, Part 3

12.14.2018: One Lesson of Math – Solving Quadratic Inequalities in One Variable, Part 2

~ Steven C. Mills

Today's soundtrack is Christmas With the Mills Family, a Spotify playlist that includes my favourite Christmas songs. I learned yesterday that when we consider quadratic inequalities with a single variable, if the equation's solution is greater than 0, we consider all values higher than 0 on the y-axis that are outside of the parabola to … Continue reading 12.14.2018: One Lesson of Math – Solving Quadratic Inequalities in One Variable, Part 2

12.13.2018: One Lesson of Math – Solving Quadratic Inequalities in One Variable, Part 1

~ Steven C. Mills

Today's soundtrack is Suffocation: Pierced From Within, a classic brutal death metal album. This afternoon, I'm learning about quadratic equations with inequalities in a single variable. If we replace a quadratic equation's equals sign with any kind of inequality symbol (greater than, less than, greater than or equal to, lesser than or equal to), "a … Continue reading 12.13.2018: One Lesson of Math – Solving Quadratic Inequalities in One Variable, Part 1

12.08.2018: One Lesson of Math – Modelling and Solving Problems With Quadratic Functions

~ Steven C. Mills

Today's soundtrack is Christmas With the Mills Family, a Spotify playlist that includes my favourite Christmas songs. This morning, I'm continuing to work on the lesson that I started yesterday. It involves more of the same: min/max word problems. I'm glad that I have the opportunity to work through these homework problems; I feel like … Continue reading 12.08.2018: One Lesson of Math – Modelling and Solving Problems With Quadratic Functions

12.07.2018: One Lesson of Math – Quadratic Minimum/Maximum Questions

~ Steven C. Mills

Today's soundtrack is Christmas With the Mills Family, a Spotify playlist that includes my favourite Christmas songs. This evening, I'm working on the final chapter of this unit, "Modelling and Solving Problems With Quadratic Functions." In this chapter, I'll be going over different ways that I can write out a quadratic function to model and … Continue reading 12.07.2018: One Lesson of Math – Quadratic Minimum/Maximum Questions

12.06.2018: One Lesson of Math – Extrapolating a Graph's Information to Write an Equation in Factored Form

~ Steven C. Mills

Today's soundtrack is Christmas With the Mills Family, a Spotify playlist that includes my favourite Christmas songs. A quick side note before I begin this lesson: at the local thrift store, I found a Kawai FS680 for $10! I'm so stoked! This evening, I'm finishing up the assignment portion of my lesson on analyzing general … Continue reading 12.06.2018: One Lesson of Math – Extrapolating a Graph's Information to Write an Equation in Factored Form

12.05.2018: One Lesson of Math – Analyzing Quadratic Functions in the General Form, Part 2

~ Steven C. Mills

Today's soundtrack is Christmas With the Mills Family, a Spotify playlist that includes my favourite Christmas songs. This evening, I'm working on the assignment portion of the lesson I did yesterday on analyzing the characteristics of quadratic functions in general form. One concept that I neglected to cover yesterday is that of the factored form … Continue reading 12.05.2018: One Lesson of Math – Analyzing Quadratic Functions in the General Form, Part 2

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