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Category: math

More unit conversions: engine volume

By Jack Posted on July 22, 2014 Posted in math, mechanics Tagged with cubic inches to litres to cubic centimetres, engine displacement

Tutoring high school math, unit conversions are often visited.  The math tutor discusses the conversion of engine displacements.   Back when I was a kid, I had a 50cc (cc:cubic centimetre, also written as cm3) minibike. My friends soon got …

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Unit conversion: horsepower to kilowatts

By Jack Posted on July 17, 2014 Posted in math, physics Tagged with horsepower to kilowatts, hp to kW, unit conversions

Tutoring high school maths and sciences, unit conversions  are prevalent.  The math tutor offers an example of converting between common units. Hello: hope your summer is going great. As I’ve implied over the previous few weeks, my activities have shifted …

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Math: Simplifying a radical (aka root) expression

By Jack Posted on June 19, 2014 Posted in math Tagged with radicals, rational exponents, simplifying radicals

For this math tutor, the end-of-semester rush is about to end. Tutoring for exam prep, you tend to return to those “messy” problems students would rather avoid…. Radical expressions are among the most difficult topics in high school math. Let’s …

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Math: decimals for single digits over 11

By Jack Posted on June 18, 2014 Posted in math Tagged with decimals, decimals for fractions over 11, repeating decimals

For this math tutor, the busy exam season is winding down.  Now tutoring shifts to summer maintenance, adults in night courses, and general interest…. We all know that 6/11 is a decimal. Being a fraction of two integers, it must …

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Math: a difficult factoring problem

By Jack Posted on June 10, 2014 Posted in math Tagged with common factor, factoring, polynomial equations, quadratic equations

Heading towards exams, tutoring returns to factoring and other challenging topics. The math tutor shows how to solve a factoring problem that, at high school level, might be difficult. Suppose you are faced with the following problem: Solve -6×5+46×3+72x=0 This …

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Arc length: the proportion method

By Jack Posted on May 28, 2014 Posted in math Tagged with arc length, proportion

Tutoring math 12, you cover arc length.  The math tutor describes a method students from a generation ago might appreciate. Arc length is distance along the circumference of a circle.  Following a 360° angle, you of course travel the entire …

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Math: the pigeonhole principle

By Jack Posted on May 23, 2014 Posted in math Tagged with counting, counting problems, pigeonhole principle

Tutoring math, you might see this topic from a university student.  The math tutor offers it as a point of interest. The pigeonhole principle is used to solve counting problems.  A simple example: In a ten day stretch, how many …

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Math: the fourth root of 80

By Jack Posted on May 21, 2014 Posted in math Tagged with fourth roots, roots, simplifying radicals

Questions about roots – especially higher order ones – are commonly asked during math tutoring.  The tutor offers a quick example.   Example: simplify 4√(80) Step 1: Realize that 80=16(5). Therefore, 4√(80)=4√(16)4√(5) Step 2: Realize that the reason we break …

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Math: a mean question

By Jack Posted on May 12, 2014 Posted in math Tagged with average, finding the mark you need, mean

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 …

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Mean, median, and mode

By Jack Posted on May 6, 2014 Posted in math, statistics Tagged with mean, median, 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 …

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