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Dr. Jonathan Y.'s Resources

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Find the limit? (answer)

lim    (sin(x+h)-sin(x))/h h→0 since sin(x+h) = sin(x) cos(h) + cos(x) sin(h)    then we have   lim   (sin(x) cos(h) + cos(x) sin(h) - sin(x))/h h→0  grouping 1st and 3rd term, we have     lim...

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Beautiful work by Vivian L. of Middletown, CT!   Student also needs to know the strategy of solution this type of equation.   Step 1:  square both side.   (or arrange into this format if it is given differently)   Step 2: rearrange to format...

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To compare two fractions, use the following method: 15             1 17             1                     multiply first numerator with second denominator and put the result...

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STOP long-haul video gaming, online or not! 1. Engage in an active learning of a subject you do not know once a week. 2. Talk to someone you respect, love, like/want to meet, for at least half an hour twice a week. 3. Avidly read three time a week. 4. Perform outdoor exercise four time a week. 5. Eat five healthy meals a week. When you keep your brain running and getting... read more

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Rotational Symmetry is part of Group Theory. For HS STEM subjects, rotational symmetry is often introduced using 2D figures or 3D objects. I believe ALL, I mean all, children can understand and eventually master rotational symmetry by practicing with figures and objects with n-fold rotational...

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The adaptation of the NGSS in Massachusetts is coming along by the Department of Elementary and Secondary Education. This standard will change how science is taught in Massachusetts and in US, so our students can be more competitive in the international stage. As a strong supporter of this standard, I recommend science teachers, administrators, parents and students to take a look at it. http://www... read more

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Arrange the equation in the slope-intercept format:   y = mx + b  --------------- eq. 1                    where b is the intercept.  Given:    x+3y=7  Rearrange it:     3y=-x + 7  ...

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Math is Fun! Once you get the "algebra proportion" from the wonderful tutors Krista B., and Diane S., you can make math fun, like: Knowing that some other people call this "equivalent fraction". Let's think about the following question: Use ALL the nine digits,...