Math: a mean question
Continuing from last post, the tutor gives an example of a question involving the mean. You will often find a question such as this on a qualifying exam: Bill writes six math tests. They all have equal weighting towards his …
Author: Jack
Mean, median, and mode
Tutoring high school math, you deal with introductory statistics. The tutor introduces measures of central tendency. Let’s imagine you have the following seed counts from eleven different apples: 15 9 8 10 8 10 8 5 7 14 12 We …
Math: simplification with a rational exponent
Tutoring math, this topic is perennial. The math tutor works an example. Imagine you are posed the following question: Simplify 32^(6/5) First, realize the following: 32^(6/5)=5√(32)^6 5√(32)=2, since 2*2*2*2*2 = 2^5 = 32. Therefore, 32^(6/5)=5√(32)^6=2^6=64 So 32^(6/5)=64. I’ll be saying …
English: in conflict, or in concert?
Tutoring English, you constantly need ideas on how to increase sentence variety. The English tutor discusses another possible variation…. In past English posts, I’ve referred to subordinating conjunctions, the complex sentence, and various other points of interest for those wanting …
Calculator features: built-in constants on the SHARP EL-520W
Tutoring physics or chemistry, you remember your attachment to your calculator as you pursued those subjects. The tutor observes a feature of great convenience on the SHARP EL-520W. In high school physics, you might be posed the following question: How …
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Organic Chemistry: naming alcohols
At university, the tutor encountered the world of organic chemistry – as many of you have or will. Although it comes up rarely in high school tutoring, a basis is beneficial before you face it at post-secondary level. If you …
Math: simplifying cube roots
Tutoring high school math, cube roots come up a few times a year. The math tutor opens the discussion on simplifying them. By way of introduction, you might want to read my short article here on perfect cubes and cube …
Math: multiplying with algebra tiles
The tutor continues with algebra tiles. Tutoring math, you see them especially in grades 9 or 10. I began discussing algebra tiles here. Recall that they are meant to model numbers, variables, and operations you can perform to them. Recalling …
Math: adding and subtracting radicals
Tutoring high school math, radicals are prominent. The math tutor introduces addition and subtraction of them. Adding radicals is much like adding variables. Note that x=1x; the 1 is understood to be there, but never written. Similarly, √3=1√3. Therefore, 2√5 …
Organic Chemistry: Simplified drawings
When you tutor high school chemistry, you cover a little organic chemistry. Today we visit a topic that rarely gets asked about during tutoring, but is very useful to know at the college level. In my previous post on …