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Home › 2014 › January

Month: January 2014

Math: A counting problem

By Jack Posted on January 30, 2014 Posted in math No Comments

Tutoring math 12 and some university courses, you get asked about counting. The tutor opens the discussion with a couple of examples. Questions that ask, “How many ways can people be lined up for a photograph” or “how many five-card …

Math: A counting problem Read more »

Tagged with: choose, combination, counting, permutation, with replacement, without replacement

Physics: Impulse

By Jack Posted on January 27, 2014 Posted in physics No Comments

Tutoring physics, you get asked about impulse now and again.  The tutor introduces the topic, explaining its connection with momentum. Impulse has many definitions.  Fundamentally, it means change in momentum.  Momentum is a vector quantity, which means it has a …

Physics: Impulse Read more »

Tagged with: impulse, momentum

Math: Systems of equations: a word problem

By Jack Posted on January 23, 2014 Posted in math No Comments

Tutoring math, you revisit this type of problem often.  The math tutor gives a quick reminder just ahead of exams. Here’s the problem: A saleswoman gets paid a base monthly salary plus commission.  One month she sells $50 000 and …

Math: Systems of equations: a word problem Read more »

Tagged with: flat fee plus rate charge, substitution, systems of equations

Math: a little more on factoring

By Jack Posted on January 20, 2014 Posted in math No Comments

Tutoring high school math, you might be in review mode now.  The math tutor brings up a couple of factoring instances. Instance 1:  Suppose you need to factor -2x^2 + 4x + 70.  How would you proceed? Solution: First, you …

Math: a little more on factoring Read more »

Tagged with: common factor, easy trinomial, factoring, negative sign

Physics: back emf

By Jack Posted on January 16, 2014 Posted in physics No Comments

Tutoring physics 12, you encounter this concept.  The tutor offers the formula with an explanation. Induction refers to the creation of voltage in a wire that is not connected to a power source.  It’s the premise that enables generation of …

Physics: back emf Read more »

Tagged with: back emf, electric motor, generator, induced voltage, induction

Math: factoring difference of cubes

By Jack Posted on January 14, 2014 Posted in math No Comments

The math tutor continues with factoring cubes.  Tutoring calculus, this formula is another standby. Let’s turn to factoring x^3 – 64. Realizing that 64=4^3, you actually are facing x^3-4^3 You need the formula a^3 – b^3=(a-b)(a^2 + ab + b^2) …

Math: factoring difference of cubes Read more »

Tagged with: difference of cubes, factoring

Math: factoring sum of cubes

By Jack Posted on January 11, 2014 Posted in math No Comments

Tutoring high school math, you rarely see this; it comes up often, however, in calculus.  The tutor offers a light treatment. How do you factor x^3 + 125? You need the following formula: a^3 + b^3 = (a + b)(a^2 …

Math: factoring sum of cubes Read more »

Tagged with: factoring, sum of cubes

Math: How to handle multiple-stage fractions

By Jack Posted on January 8, 2014 Posted in math No Comments

Tutoring middle school or high school math, you come across these from time to time.  The math tutor explains how to unravel them. We sometimes might encounter a fraction such as (3/4)/8 How do you simplify such a fraction to …

Math: How to handle multiple-stage fractions Read more »

Tagged with: complex fractions, multiple stage fractions

Biology: the female system, cont.

By Jack Posted on January 5, 2014 Posted in biology_12, nursing No Comments

When you tutor Biology 12, which is needed for nursing, you cover the male and female reproductive systems.  Here is the continuation from the Dec 30 post. Previously I discussed the end of the monthly female cycle: if conception does …

Biology: the female system, cont. Read more »

Tagged with: endometrium, HCG, implantation, placenta, pregnancy

Math: an assessment style problem

By Jack Posted on January 2, 2014 Posted in math No Comments

Tutoring math, you work with people heading back to school who need to pass assessment tests.  The math tutor demonstrates a problem they often ask about. The problem is as follows: Joe and Bill are scene painters for a theatre …

Math: an assessment style problem Read more »

Tagged with: combined rate problem

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