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Category: math

Math: algebra: variables on both sides of the equation.

By Jack Posted on January 9, 2024 Posted in math

Tutoring algebra includes some important methods, such as bringing all the variables to one side. The tutor mentions an example. Some point in grade 8 or 9, algebra questions can have variables on both sides of the equation. You might …

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Math skills: reducing

By Jack Posted on January 8, 2024 Posted in math

Tutoring math, some challenges need to be addressed: the tutor mentions reducing. Perhaps in grades 6 and/or 7, reducing fractions becomes important: 14/20 needs to be reduced, for instance, to 7/10, since both 14 and 20 are divisible by the …

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Math: golden ratio, first glance

By Jack Posted on October 27, 2022 Posted in math

Tutoring math, you see the golden ratio. The tutor mentions it. There are a few peculiarities that explain the golden ratio’s uniqueness. Let’s call it r. Then for a number x, x/r = x(r-1). r is irrational; an approximation is …

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Math: inverse trig functions in Chrome

By Jack Posted on July 12, 2022 Posted in math

Tutoring math, modern facilities are always interesting. The tutor mentions the Chrome browser. The Chrome browser is useful for inverse trig functions. Suppose, for instance, you know that tan of an angle is 1.5 but you want to find the …

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Math: sin in Firefox Google Search

By Jack Posted on April 16, 2022 Posted in math

Tutoring math, angles in different measures come up. The tutor mentions the Google Search Bar for sin. Most people familiar with sin probably expect the result 0.5 for sin30°. Tonight, in the Google Search Bar on Firebox, I keyed in …

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Math: what is mensuration?

By Jack Posted on April 4, 2022 Posted in math

Tutoring math, terms arise. The tutor mentions mensuration. Mensuration means determining quantities that can’t be measured directly from ones that can. Basic measurements or observations, arrived at using a measuring tool such as a ruler, protractor, watch, etc, are input …

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Math, physics: decibels: a practical example

By Jack Posted on January 18, 2022 Posted in math

Tutoring math, everyday situations come up. The tutor mentions a construction application: noise dampening. Today I was at a hardware store and noticed some ear protection rated as reducing noise by 27 decibels (aka 27 dB). What amount of noise …

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Probability: real vs observed

By Jack Posted on September 4, 2021 Posted in probability

Self-tutoring about probability: the tutor gets (perhaps) philosophical as well. Is the real probability of an event calculable from theory? First, let’s imagine tossing a coin. Theoretically, its probability of heads is 0.5 – tails, also 0.5. Let’s say you …

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Math: the optimal stopping problem

By Jack Posted on May 22, 2021 Posted in math

Self-tutoring about math in everyday life: the tutor mentions a gem. Even among people who avoid math, it’s hard to imagine one who doesn’t engage in the optimal stopping problem. The optimal stopping problem means deciding when to choose an …

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Financial math: calculation of mortgage interest rate

By Jack Posted on December 19, 2020 Posted in financial math

Self-tutoring about financial math: the tutor mentions the mortgage interest rate. I was looking at the formula for the periodic payment of a mortgage: P=(-1(r/n))*L*(1+r/n)^(nt)/(1-(1+r/n)^(nt)) where P=payment r=rate n=payments per year (and compounding periods per year as well) t=years Specifically …

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