Table of Contents for Audio Lesson Read-Throughs

One-question survey:
Are these read-throughs useful to you?
Expressions versus Sentences April 15, 2020 My first read-through!
Simplifying $\,(a+b)^2\,$ and $\,(a-b)^2\,$ April 16, 2020 I made the decision to read the mathematics aloud as simply as possible, assuming someone is looking at the mathematics. Thus (for example) for $\,(a+b)^2\,$ I say ‘$\,a\,$ plus $\,b\,$ (slight pause) squared’, instead of the more cumbersome ‘$\,a\,$ plus $\,b\,$, quantity, squared’.
Shifting Graphs Up/Down/Left/Right April 17, 2020 I made the decision to read ‘e.g.’ aloud as ‘for example’ (instead of saying the letters).
In speaking with ‘math-comfortable’ people who are looking at the mathematics I'm talking about, the difference between the way I voice (say) ‘$\,f(x) + 3\,$’ and ‘$\,f(x+3)\,$’ is almost imperceptible. There is a (very slight) pause after $\,f(x)\,$ in $\,f(x) + 3\,$. There is a (very slight) pause after the opening parenthesis (saying ‘of’) in $\,f(x+3)\,$. In this read-through, however, I chose to over-emphasize these pauses to help people notice the difference.
Horizontal and Vertical Stretching/Shrinking April 19, 2020 I made the decision to read (say) $\,3f(x)\,$ in a couple different ways, to let people know they have a choice:
  • $\,3\,$ times $\,f\,$ of $\,x\,$
  • $\,3\,$ (very slight pause) $\,f\,$ of $\,x\,$
Given Amplitude, Period, and Phase Shift, Write an Equation April 22, 2020 For this lesson, I chose to always read (say) $\,\sin x\,$ as ‘sine of $\,x\,$’ (using the word ‘of’ which indicates the sine function acting on the input $\,x\,$). However, people frequently omit the word ‘of’, verbalizing it more simply as just ‘sine $\,x\,$’.
Practice with the Phrases ‘at least’ and ‘at most’ April 22, 2020  
Formula for the Length of a Vector April 22, 2020  
Writing Quadratic Equations in Standard Form April 24, 2020  
Amplitude, Period, and Phase Shift April 24, 2020 The decision was made to read $\,b\,$ as ‘lowercase $\,b\,$’ and $\,B\,$ as ‘uppercase $\,B\,$’ only when they are both being used in the same local discussion.
In this read-through, I read $\,\sin x\,$ as simply ‘sine $\,x\,$’, and $\,\cos x\,$ as simply ‘cosine $\,x\,$’.
What is the Graph of $\,y = f(x)\,$? April 25, 2020  
Identifying Quadratic Equations April 25, 2020  
Writing Expressions in the Form $\,kx^n\,$ April 25, 2020  
Adding and Subtracting Fractions with Variables April 25, 2020  
Graphical Interpretations of Sentences Like $\,f(x) = 0\,$ and $\,f(x) > 0\,$ April 26, 2020 For simplicity and brevity, I often say ‘paren’ instead of ‘parenthesis’. In this section, it is very important to distinguish between parentheses and brackets, so I read (say) $\,(1,3]\,$ as ‘open paren, one, comma, three, close bracket’.
Exponential Growth and Decay: Relative Growth Rate April 26, 2020  
Calculating Percent Increase and Decrease April 27, 2020  
Addition and Subtraction Formulas for Sine and Cosine April 27, 2020  
Trigonometric Values of Special Angles April 29, 2020  
Vector Application: Finding True Speed and Direction May 1, 2020  
Recognizing Linear and Exponential Behavior from Tables of Data May 2, 2020  
Basic Addition Practice May 2, 2020 I've decided to try to do one long read-through each day (going in order of popularity of pages), and also one or two short/easy ones (going in order from the beginning of my offerings).
Multiplication May 2, 2020  
Solving Logarithmic Equations May 3, 2020  
Divisibility May 3, 2020  
Basic Properties of Zero and One May 3, 2020  
Identifying Conics by the Discriminant May 6, 2020  
Mixed Basic Add/Subtract/Multiply/Divide Practice May 6, 2020  
Deciding If a Number is a Whole Number, Integer, etc. May 6, 2020  

Starting May 8, 2020, I'm now going through my lessons in order, and putting in the read-throughs.