The product of two numbers should be given with as many significant digits as the least precise of the numbers multiplied (see https://www.nku.edu/~intsci/sci110/worksheets/...

I don't think that "textbooks" decided this, usage did. The term "integer" covers positive and negative, so it would be redundant for whole numbers to refer to that category. And ...

The variance is calculated directly, while the SD is calculated in terms of the variance. The variance is additive for independent variables. The effect of sample size is a lot easier to explain using ...

For circular motion, you have x2+y2 = r2, so except for at the ends, each x has two y solutions, and vice versa. Harmonic motion is in some sense analogous to circular motion. For instance, for Hooke'...

You might want to discuss the etymology. There's "con", which means "with", and shows up in other words such as "converse" and "context", and "cave", ...

If you want to teach high school math, then of course you'll need to know high school math. And if you want to get a teaching credential, you'll need to take whatever courses your state says are ...

The main points are that knowing a length restricts you to a circle, and knowing an angle restricts you to a ray. So for SSS, you can draw one side, then for each endpoint draw a circle for the ...

At the secondary level, students tend to think of "real numbers" as being literal: any number that isn't in the real number system isn't a "real number", and any time you're given ...

Reasons to study Newton's method: -It's an application of derivatives -It is a good example of numerical methods -It can help strengthen understanding of relationship between derivative and tangent ...

You could say it means "Whenever P is true, Q is true". So "If it rains, I will bring an umbrella" means "Every time it rains, I bring an umbrella". It's not possible to disprove this statement by ...

Slide rules are a good tactile method of exploring logs. You can use them to calculate the $log_ba$ and $b^a$, and $a\cdot b$. They also visually illustrate the properties of logs, such as $\log(xy)=\... View answer 2 votes Your students are in high school, which means that there are limits to how much responsibility you can expect them to take for their learning. And you're already most of the way through this year, so ... View answer 2 votes The coordinates will be rational numbers, so you just have to pick arbitrary points, then scale by the LCD. This quora question has several answers for what the formula for the orthocenter is; I haven'... View answer 1 votes In general, manifolds have not a norm, but a metric, which is a function that takes two points as input and gives their distance as output. A space with addition/subtraction and a norm has a metric (... View answer 1 votes I don't know if this word is used specifically to describe this phenomenon, but the term "complement" is used in general to refer to two things that combine to make some third thing, so this ... View answer 1 votes If you want more clearly "undoing" operations, define "stacking" as the following: Take some$\Delta x$. Chop the curve into rectangles of width$\Delta x$and height$f(x)$. (There's some leeway as ... View answer 1 votes Which would you rather I give you: 10 cookies or 8 cookies? Okay, now which would you rather have me take away: 10 cookies, or 8 cookies? Adding 10 gives you a larger number than adding 8, but ... View answer 1 votes Other answers have concentrated on the base, but the problem can also be ascribed to the exponents.$(x^m)^n=x^{mn}$is true for any base, as long as m and n are integers. This follows simply from the ... View answer 0 votes Jordan Curve Theorem: If you have a closed curve, there is an "inside" and "outside", and those are defined globally (two points are on different sides if every path between them crosses the curve at ... View answer 0 votes The square root symbol$\sqrt {\cdot}\$ means "the principal square root". For positive numbers, it's understood that it means the positive square root. But your students clearly haven't advanced ...