RobertPrestwidge

This video was one of my early attempts to create one of these videos with my wonderful friend Cooper who inspired me to start. So many people struggle with Logarithms (Logs). This shows some simple ways of thinking that I use to help people understand and use logs. In Australia these are taught in the 10A course and the academic courses in year 11 and 12 – Methods and Specialist / NSW Advanced and Extension. 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.

I created this video very early on when I was so inexperienced at creating videos. Please excuse that I was such a novice at this process and the technology involved. So many people struggle with Logarithms (Logs). This shows some simple ways of thinking that I use to help people understand and use logs. Students in my classes helped me develop what I call 'The POTI Rule', which significantly helped students to perform better in this topic. In Australia these are taught in the 10A course and the academic courses in year 11 and 12 – Methods and Specialist / NSW Advanced and Extension. 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.

This video was my second attempt to create it with my wonderful friend Cooper. So many people struggle with Logarithms (Logs). This shows some simple ways of thinking that I use to help people understand and use logs. In Australia these are taught in the 10A course and the academic courses in year 11 and 12 – Methods and Specialist / NSW Advanced and Extension. 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.

This was my first attempt to create one of these videos with my wonderful friend Cooper. So many people struggle with Logarithms (Logs). This shows some simple ways of thinking that I use to help people understand and use logs. In Australia these are taught in the 10A course and the academic courses in year 11 and 12 – Methods and Specialist / NSW Advanced and Extension. By the way, if you view any of my videos on Rumble, all or at least most of my videos on that topic come up. This is where it is so important that I have my videos organised in 'Sets' and 'Numerical Order' so that you can see what comes next. On Youtube I am Robert Prestwidge with the space, but I have a playlist for each topic eg Calculus, Trigonometry, Fractions, Equations etc as well as 'Sections' for each Year/Grade/Course but Rumble will not allow me to do this, although, it's automatic playlist is quite impressive. On Rumble you can just type in: RobertPrestwidge Trigonometry RobertPrestwidge Equations RobertPrestwidge Logarithms RobertPrestwidge Parabolas RobertPrestwidge Exponent RobertPrestwidge Quadratic RobertPrestwidge Negatives etc to get my playlists 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.

This is a short video with 3 examples. No massive explanation to keep it brief. This is some explanation of how and where to use the 'Completing the Square’ Method. In Australia this is taught in the 10A course and the academic courses in year 11 and 12 – Methods and Specialist (Maths Advanced in NSW). 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. 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.

This is a short video with 2 examples. No massive explanation to keep it brief. This is the next logical progression on quadratics. They look like they are harder, but they ‘trick’ some people into thinking they can’t do them. This is useful to the Australian years 10-12 'academic/examinable' courses. It is mostly about factorising trinomials of the most basic and simplest forms. 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.

I was very inexperienced at making videos when I made this video. . Please excuse that I was such a novice at this process and the technology involved. This is a short video with 3 examples. No massive explanation to keep it brief. This is a follow up to consolidate the first two videos with more cases. This is useful to the Australian years 10-12 'academic/examinable' courses. It is mostly about factorising trinomials of the most basic and simplest forms. 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.

I made this video early on when I was very new to producing vidoes. Please excuse that I was such a novice at this process and the technology involved. These are short videos that usually deal with focusing on only one or two concepts. Sometimes there are many ways to explain concepts. These are mostly one method that I have found to be very useful over many decades, especially when I compare it to other explanations that I have used. 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.

This is one of my first videos. Please excuse that I was such a novice at this process and the technology involved. These are short videos with usually 1 or 2 concepts. No massive explanation to keep it brief. This is useful to Australia years 10-12 'academic/examinable' courses. It is mostly about factorising trinomials of the most basic and simplest forms. By the way, if you view any of my videos on Rumble, all or at least most of my videos on that topic come up. This is where it is so important that I have my videos organised in 'Sets' and 'Numerical Order' so that you can see what comes next. On Youtube I am Robert Prestwidge with the space, but I have a playlist for each topic eg Calculus, Trigonometry, Fractions, Equations etc as well as 'Sections' for each Year/Grade/Course but Rumble will not allow me to do this, although, it's automatic playlist is quite impressive. On Rumble you can just type in: RobertPrestwidge Trigonometry RobertPrestwidge Equations RobertPrestwidge Logarithms RobertPrestwidge Parabolas RobertPrestwidge Exponent RobertPrestwidge Quadratic RobertPrestwidge Negatives etc to get my playlists 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.

This is the most important mixture. It consolidates all of the basics. Over my years of teaching I spend much time building student confidence with ‘negative numbers’, because so many people struggle with the concepts. I have continued to think 'How can I make this easier for students?'. These videos start very simple and progressively work through the basics and I keep reminding myself not to go too difficult too quickly. By the way, many older students and adults still struggle with these concepts. I would love to hear from adults who were helped while watching these videos with their child. Maths is so easily 'lost' from the brain without use. I recommend that students watch one of these short videos per day to give themselves time to consolidate the ideas. To start with, I take a slightly different approach, which I have especially found helpful for weaker students. I used to teach these concepts as ‘4 rules’, but for years, I have taught them as ‘1 rule’, and the difference in student response is massive. I also build repetition into the videos. From my experience, the biggest secret is to watch each video 3 times across a week or more (which very few people do with anything, not just Maths). I have tried to make this easier by keeping these videos quite brief. 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.

This is where students more commonly have problems with calculations using negative numbers. Over my years of teaching I spend much time building student confidence with ‘negative numbers’, because so many people struggle with the concepts. I have continued to think 'How can I make this easier for students?'. These videos start very simple and progressively work through the basics and I keep reminding myself not to go too difficult too quickly. By the way, many older students and adults still struggle with these concepts. I would love to hear from adults who were helped while watching these videos with their child. Maths is so easily 'lost' from the brain without use. I recommend that students watch one of these short videos per day to give themselves time to consolidate the ideas. To start with, I take a slightly different approach, which I have especially found helpful for weaker students. I used to teach these concepts as ‘4 rules’, but for years, I have taught them as ‘1 rule’, and the difference in student response is massive. I also build repetition into the videos. From my experience, the biggest secret is to watch each video 3 times across a week or more (which very few people do with anything, not just Maths). I have tried to make this easier by keeping these videos quite brief. 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.

I drove to the top of a large granite rock called Elachbutting Rock in Western Australia in my Honda CRV with 4 generations of the family in my car on a beautiful summer day. This storm came up in minutes in an area not known for regular wild storms. It left every panel of my car except the back door with hail damage.

This is the 5th video dealing with another mixture of 'Directed Numbers'. Over my years of teaching I spend much time building student confidence with ‘negative numbers’, because so many people struggle with the concepts. I have continued to think 'How can I make this easier for students?'. These videos start very simple and progressively work through the basics and I keep reminding myself not to go too difficult too quickly. By the way, many older students and adults still struggle with these concepts. I would love to hear from adults who were helped while watching these videos with their child. Maths is so easily 'lost' from the brain without use. I recommend that students watch one of these short videos per day to give themselves time to consolidate the ideas. To start with, I take a slightly different approach, which I have especially found helpful for weaker students. I used to teach these concepts as ‘4 rules’, but for years, I have taught them as ‘1 rule’, and the difference in student response is massive. I also build repetition into the videos. From my experience, the biggest secret is to watch each video 3 times across a week or more (which very few people do with anything, not just Maths). I have tried to make this easier by keeping these videos quite brief. 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.

This is the 4th of my systematically numbered videos on 'Negative Numbers', which deal with how to do calculations using negative numbers. Over my years of teaching I spend much time building student confidence with ‘negative numbers’, because so many people struggle with the concepts. I have continued to think 'How can I make this easier for students?'. These videos start very simple and progressively work through the basics and I keep reminding myself not to go too difficult too quickly. By the way, many older students and adults still struggle with these concepts. I would love to hear from adults who were helped while watching these videos with their child. Maths is so easily 'lost' from the brain without use. I recommend that students watch one of these short videos per day to give themselves time to consolidate the ideas. To start with, I take a slightly different approach, which I have especially found helpful for weaker students. I used to teach these concepts as ‘4 rules’, but for years, I have taught them as ‘1 rule’, and the difference in student response is massive. I also build repetition into the videos. From my experience, the biggest secret is to watch each video 3 times across a week or more (which very few people do with anything, not just Maths). I have tried to make this easier by keeping these videos quite brief. 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.

During my many years of teaching, I have spent much time building student confidence with ‘negative numbers’, because so many people struggle with the concepts. I have continued to think 'How can I make this easier for students?'. These videos start very simple and progressively work through the basics and I keep reminding myself not to go top difficult too quickly. By the way, many older students and adults still struggle with these concepts. I would love to hear from adults who were helped while watching these videos with their child. Maths is so easily 'lost' from the brain without use. I recommend that students watch one of these short videos per day to give themselves time to consolidate the ideas. To start with, I take a slightly different approach, which I have especially found helpful for weaker students. I used to teach these concepts as ‘4 rules’, but for years, I have taught them as ‘1 rule’, and the difference in student response is massive. I also build repetition into the videos. From my experience, the biggest secret is to watch each video 3 times across a week or more (which very few people do with anything, not just Maths). I have tried to make this easier by keeping these videos quite brief. 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.

Negative numbers are so commonly used in Math. Over my years of teaching I spend much time building student confidence with ‘negative numbers’, because so many people struggle with the concepts. I have continued to think 'How can I make this easier for students?'. These videos start very simple and progressively work through the basics and I keep reminding myself not to go top difficult too quickly. By the way, many older students and adults still struggle with these concepts. I would love to hear from adults who were helped while watching these videos with their child. Maths is so easily 'lost' from the brain without use. I recommend that students watch one of these short videos per day to give themselves time to consolidate the ideas. To start with, I take a slightly different approach, which I have especially found helpful for weaker students. I used to teach these concepts as ‘4 rules’, but for years, I have taught them as ‘1 rule’, and the difference in student response is massive. I also build repetition into the videos. From my experience, the biggest secret is to watch each video 3 times across a week or more (which very few people do with anything, not just Maths). I have tried to make this easier by keeping these videos quite brief. 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.

Over my years of teaching I spend much time building student confidence with ‘negative numbers’, because so many people struggle with the concepts. I have continued to think 'How can I make this easier for students?'. These videos start very simple and progressively work through the basics and I keep reminding myself not to go too difficult too quickly. By the way, many older students and adults still struggle with these concepts. I would love to hear from adults who were helped while watching these videos with their child. Maths is so easily 'lost' from the brain without use. I recommend that students watch one of these short videos per day to give themselves time to consolidate the ideas. To start with, I take a slightly different approach, which I have especially found helpful for weaker students. I used to teach these concepts as ‘4 rules’, but for years, I have taught them as ‘1 rule’, and the difference in student response is massive. I also build repetition into the videos. From my experience, the biggest secret is to watch each video 3 times across a week or more (which very few people do with anything, not just Maths). I have tried to make this easier by keeping these videos quite brief. 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.

This is a simple introduction and understanding of how to work out a Difference of 2 Squares’. This is a chance to confirm and consolidate your understanding of how This normally comes into year 9 and 10 and it is often used in the Senior academic Math courses anywhere in the world. It is actually used as a method to solve equations as well as to simplify complicated fractions. 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.

This is a chance to confirm and consolidate your understanding of how to factorise a trinomial and choose the correct approach. This normally comes into year 9 and 10 and it is often used in the Senior academic Math courses anywhere in the world. It is actually used as a method to solve equations as well as to simplify complicated fractions. 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.

For this video it introduces the cases where it uses one negative and how to factorise those trinomials. This normally comes into year 9 and 10 and it is often used in the Senior academic Math courses anywhere in the world. It is actually used as a method to solve equations as well as to simplify complicated fractions. 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.

This is a further introduction and understanding of how to factorise a trinomial. This normally comes into year 9 and 10 and it is often used in the Senior academic Math courses anywhere in the world. It is actually used as a method to solve equations as well as to simplify complicated fractions. 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.

Many students have problems with the 'more complicated' fractional and negative index laws. This is a simple revision of the concepts. 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.

This video demonstrates what I commonly do in class - a revision mixture at the start of every lesson. This goes through a mixture of the first 3 videos to help make sure that your understanding is good. I know it is very important to give students an opportunity to consolidate and make sure that you don’t get things ‘mixed up’. I give students verbal pictures and simple explanations that help students to understand and remember the concepts, as well as warn them about the common errors and misunderstandings. This is the fourth of many short videos in this playlist. If it is too simple, jump ahead to videos 5, 6 or 7 etc. This is one of the revision videos included in this playlist to help you understand better and not get confused into making simple errors. 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.

Here is my next video which goes through the basics of how index law ‘3’ works. I give students verbal pictures and simple explanations that help students to understand and remember the concepts, as well as warn them about the common errors and misunderstandings. This is the third of many short videos in this playlist. There are also revision videos included in this playlist to help you understand better and not get confused into making simple errors. 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.

This short video goes through the basics of how index law ‘2’ works. I give students verbal pictures and simple explanations that help students to understand and remember the concepts, as well as warn them about the common errors and misunderstandings. This is the second of many short videos in this playlist. If it is too simple, jump ahead to videos 3, 4, 5 or 6 etc. There are also revision videos included in this playlist to help you understand better and not get confused into making simple errors. 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.