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01 |
An easy way to remember how to change the base of a logarithm |
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02 |
A humorous look at the plural of focus. Makes it easy to remember |
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03 |
How an ellipse can eventually turn into a circle. What happens when the foci coalesce |
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04 |
Applications of the conic sections |
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05 |
A discussion of the difference between combinations and permutations.. selecting and ordering |
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06 |
Cross multiplication. Yes, it's a shortcut, but what is it, really? |
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07 |
Application of the distance formula. A simultaneous look at both the distance formula and the equation of a circle. |
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08 |
The relationship between a, b, and c for the ellipse and hyperbola. Normally, very confusing... an easy way to remember. |
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09* |
An absolutely stunning revelation. How to easily associate the following with x & y: horz, vert, domain, range, h, k, abscissa, ordinate, sin, cos, dependent, independent |
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10 |
Anything to the 0 power is 1. Oh yeah? Why is it true and what's the exception? |
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11 |
"Corn-bread are square". A sure-fire way to get them to remember the formula for the area of a circle |
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12 |
Origins of imaginary numbers... a historical perspective |
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13 |
More revelations about imaginary numbers. Students memorize that i2 is -1... but why? |
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14 |
Students often just go on auto-pilot and replace square root with the 1/2 power. Give them insight into why.
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15 |
A special discussion of rationals and irrationals... with a little humor thrown in for good measure |
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16 |
Give students some hope that there is a practical use for the factoring of a2 - b2 |
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17 |
Student confusion with linear inequalities.... tell them to "get out of the rain" and they'll never forget. |
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18 |
Is there a fourth dimension? What about people who live in just two-dimensions? A story from "Flat-Land". |
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19 |
What a big word!... orthogonal. What does it mean? |
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20 |
An interesting look at the arguments of sine and cosine in terms of frequency. |
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