Math Trigonometry Set A 00 Introduction The Detailed Background Mostly for Year/Grade 9 and 10
Over my forty years of teaching and tuition, so so many people have struggled with understanding Trig 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).
For the first time ever, I have included this reasonably detailed understanding and background, which I am sure that some students will find invaluable to their success with Trig. This is much longer than I anticipated, but I am very happy with the finished product.
I expect that many students will only watch the first couple of minutes, but that would still be helpful.
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.
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Math Trigonometry Set B 08 Non Right Angled Triangles Exact Values and the Cosine Rule Mostly for Year/Grade 10 and 11
Once students reasonably understand mathematical concepts like the Sine Rule and the Cosine Rule, the next problem is 'getting mixed up' in when and how to use which concept. Here is a case where we can use 'exact' values.
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.
49
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Math Trigonometry Set B 07 Non Right Angled Triangles Exact Values and the Sine Rule Mostly for Year/Grade 10 and 11
Once students reasonably understand mathematical concepts like the Sine Rule and the Cosine Rule, the next problem is 'getting mixed up' in when and how to use which concept. Here is an example using 'exact' angles.
Be careful that your calculator is set on degrees, otherwise your answer will be incorrect.
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.
52
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Math Trigonometry Set B 05 Non Right Angled Triangles Sine or Cosine Rule? Mostly for Year/Grade 10 and 11
Once students reasonably understand mathematical concepts like the Sine Rule and the Cosine Rule, the next problem is 'getting mixed up' in when to use which concept. This is a window into what I regularly do in class to assist students to further develop their understanding, fluency and confidence.
Be careful that your calculator is set on degrees, otherwise your answer will be incorrect.
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.
46
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Math Trigonometry Set B 03 Non Right Angled Triangles Sine Rule Calculating a Side Mostly for Year/Grade 10 and 11
Be careful that your calculator is set on degrees, otherwise your answer will be incorrect.
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.
24
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Math Trigonometry Set B 02 Non Right Angled Triangles Cosine Rule Calculating an Angle Mostly for Year/Grade 10 and 11
Some students prefer to use the triangle using capital letters on the corners (vertices), some don't. This video deals with both cases.
Be careful that your calculator is set on degrees, otherwise your answer will be incorrect.
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.
36
views
Math Trigonometry Set B 01 Non Right Angled Triangles Cosine Rule Calculating a Side Mostly for Year/Grade 10 and 11
Some students prefer to use capital letters on the corners (vertices), some don't. This video deals with both approaches. Be careful that your calculator is set on degrees, otherwise your answer will be incorrect.
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.
55
views
Math Trigonometry Set B 04 Non Right Angled Triangles Sine Rule Calculating an Angle Mostly for Year/Grade 10 and 11
Some students prefer to use the triangle using capital letters on the corners (vertices), some don't. This video deals with using the letters.
This shows the 'two' possible answers to finding the angle of a triangle using the 'Sine Rule', which is called 'The Ambiguous Case'..
Be careful that your calculator is set on degrees, otherwise your answer will be incorrect.
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.
50
views
Math Trigonometry Set B 06 Non Right Angled Triangles Two Tricky Cases Mostly for Year/Grade 10 and 11
Once students reasonably understand mathematical concepts like the Sine Rule and the Cosine Rule, the next problem is 'getting mixed up' in when and how to use which concept. Here are two 'tricky' cases where students struggle during assessments.
Be careful that your calculator is set on degrees, otherwise your answer will be incorrect.
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.
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