| WEB LESSON | DATE READ-THROUGH ADDED | NOTES |
|---|---|---|
| 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:
|
| 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 |