Math Trigonometry Set A 02 Using the Tan Ratio to Calculate The Numerator Mostly for Year/Grade 9 and 10

If you want to find my videos as topics in a playlist on Rumble, you can type in eg:
RobertPrestwidge Equation
RobertPrestwidge Trigonometry
RobertPrestwidge Fraction
Also Logs, Parabola, Quadratic, Index Laws, Exponents, Calculus, Surd, Order of Operations, Simultaneous Equations, Negatives, Trinomials, Factorising and many other Math topics.

Many people have struggled with understanding Trigonometry and while teaching it uncounted times, I have trialled many different approaches. Students wanting to become an electrician in Australia, have to be proficient with Trig and it also comes into many unexpected areas of life. for some people (nowhere near everyone).

I used all of that experience to come up with the ‘order’ of teaching in these videos, which I am sure that some students will find invaluable to their success with Trig.

There are 2 basic approaches in teaching Trig. I am now convinced that it is better to first do all three of Sine, Tan and Cosine where the equations formed all have the unknown on the ‘numerator’, so that they all have the same method of equations solving. I believe this reduces introducing further complexity, especially for students who struggle with it. Then calculate the angles, followed lastly by dealing with right-triangles where the unknown is on the denominator.

This is much longer than I anticipated, but I am very happy with the finished product.

After 40 years of enjoyable and rewarding teaching, I still love and continue to teach. It still amazes me how I continue to still think of better ways of teaching mathematical concepts and I also continue to discover methods of explaining things that help students 'better' understand and become more successful at remembering the concepts.

A word of warning from what I have repeatedly seen over the years - most of my videos are placed in a logical or reasonably sequential order and if you watch the first or second video in a playlist and feel comfortable with the concepts, please go to the last video in the playlist to check if you really are okay. Each video in a playlist usually becomes progressively more complex and the 'latter' or 'last' video will often contain common assessment questions where students are known to make errors.

I also often include some revision / consolidation / mixture videos in the playlist which I know are crucial to assist with student success in assessments.

I hope that you find this very helpful and a blessing in your studies.