MHF4U  Grade 12 Advanced Functions Videos (Ontario)
Increase your Advanced Functions marks
Your Instructor
What's up everybody, my name is Patrick and welcome to my page for MHF4U Advanced Functions. Click the Enroll button above to access free content. Scroll down to find testimonials and videos for the course organized by chapter. If you have any questions, please text me directly on WhatsApp at 6479614348 or email [email protected]. If you're a student, I'll get back to you within a few hours.
"In my grade 12 school year, Patrick had tutored me in 4 of my class subjects. He provided me with YouTube videos of my class topics, crafted by himself in a way that was so easy for me to understand the concept I had difficulties in. With the help of Patrick, I was able to achieve a 97% in Data Management, 97% in Advance Functions, 96% in Calculus and Vectors, and a 92% in Accounting. Without his help, I truly believe that I would not be able to accomplish what I have achieved in my final high school year."
 Jacob Tran, Laurier and Waterloo University, BMath and BBA (double degree)
"After a lacklustre performance in Advanced Functions during the first semester of grade 12, I knew that I had to push even harder during semester two; in order to make up for my mediocre Functions mark. The problem was, math had always been my Achilles Heel throughout highschool, and I had two maths courses, Calculus and Data Management to be specific, during second semester. Luckily, I stumbled upon Allthingsmathematics, and with the help of Patrick I was able to effectively study and comprehend core math concepts which allowed me to excel in all forms of assessments. The one thing I love about Patrick’s videos is the clarity in which he presents core concepts and ideas. This reduces the friction in my learning, resulting in more effective studies. Furthermore, Patrick has always been quick to respond to emails and texts regarding school, math, or even life in general! This is something I hadn’t previously experienced with any tutor, paid or free. With the help of Patricks Calculus and Vectors videos, I was able to score a 95% in MCV4U1; which helped me immensely in gaining acceptance from top notch business schools in Ivey (Western) and the Smith School of Business (Queen’s)."
 Prajeya Parmar, Western University, Ivey Business Program (AEO)
"I came across Patrick in grade 12. His videos were extremely well done and taught in a way that was easy to understand. His website was easily accessible and simple to navigate. Whenever I had a question, he would respond in a timely fashion. He helped me achieve a 95% in advanced functions and a 96% in calculus and vectors. These grades helped me get into my dream program, Queen’s commerce."
 Charlotte Klajman, Queen's University, Smith Bachelor of Commerce
"I came across allthingsmathamatics in grade 12 while watching youtube videos to better understand the MCV4U's material. I liked Patrick's teaching style and his method of approaching questions which I found beneficial. Patrick is a dedicated and trustworthy mentor; whenever I had questions regarding the course material or help solving problems he would regularly reply to my emails. Due to living in another city I wasn’t able to get one on one tutor sessione, however, through the content (videos on every topic in a unit and mock tests) on allthingsmathematics, I was able to succeed in my final high school year and achieve my goals."
 Jeel Patel, Schulich School of Business (York), BBA
"I came across Patrick and AllThingsMathematics midway through my Advanced Functions class. I finished 3 of my units and did not do well in any of my unit tests and was really struggling understanding the course concepts . I knew I needed to improve my mark or else I wouldn’t get accepted into universities. Patrick’s videos were a blessing for me and saved my mark. Suddenly concepts that I did not understand no matter how hard I tried became easy to know. Patrick’s simple but in depth teaching style was perfect for me and because of him I achieved an 88 in Advanced Functions and scored over 95% in my final exam. He was also beneficial for Calculus as his videos helped me greatly since classes became online and I didn’t have a teacher on hand. With Patrick I was able to achieve a 90% in Calculus and Vectors even though it was online school. Without Patrick and AllThingsMathematics I don’t think I would be where I am today and get into top schools like Laurier and Waterloo. "
 Reuben Joseph, Accounting and Financial Management (AFM), University of Waterloo
"I am currently a Junior transfer student at UC Berkeley’s Haas School of Business and I can confirm that the level of depth that Patrick enters for some of the topics in his finance courses, such as the Capital Structure and CAPM sections, are equivalent to what they’re teaching us here at Haas BUT, without a single grain of doubt, Patrick’s explanation of the topics he covered were much more coherent and concise compared to my finance professor, with all due respect. Our professor allowed us to make the final exam 70% of our grade and I was forced to take this option because I had done so poorly on my midterm (21/35, but looking back at it now, I would have done so much better had I come across patricks videos earlier). I put all my time an effort into studying for the final and thankfully, I came across Patrick and his finance videos before it was too late. Long story short, I went from a 21/35 on the midterm to 35/35 on the final exam. And because of the 70% policy, I managed to get a A+ in the class. My professor has been known to give out deadly finals (has a Ph.D in Finance from Wharton and in Physics) and has only had a handful of people get a perfect on his finals. I will recommend Patrick to anyone I come across who’s trying to learn finance."
 Aakash Patel, Haas School of Business, University of California Berkeley Kinesiology, B.S. Business Administration
"Throughout my highschool years I was a student who understood the major concept but not the small puzzle pieces that made them work. As a result I would continuously fall in low 80s or at most mid 80s on every test that I had in grade 9, 10 and 11. By the time I finished grade 11 all my marks were in the low to mid 90s except functions. Come grade 12 and I knew In order to get accepted into a good program I needed to work on my math mark as I would be having 2 maths (Adv Functions and Calculus) this time. After doing some searching I happened to come across allthingsmathematics and let me say that the material provided by Patrick was just what I needed. Not only was it easy to understand, but it allowed me to utilize concepts and apply them to different problems in tests as well. As a result I was able to get a mark of 90 in advanced functions and a mark of 94 in calculus. I would definitely recommend allthingsmathematics to anyone seeking to learn math as a whole or anyone who just needs a minor clarification on a topic. Best of luck in all your future endeavours!"
 Aditya Sharma, Western University, Medical Sciences (BMSc)
"Honestly, I used to be very intimidated by math and I would use my calculator all the time because I didn’t trust myself. The reality for me was that I needed to get confident with math to do what I love ... programming! It was around this time that I found AllThingsMathematics and it was Patrick’s videos that saved me many times! Thanks to his continuous support, I was able to manage my busy schedule ( programming, work, school , extracurriculars) because math began making sense! I finished with a 92% in Advanced Fuctions and 90% in Calculus and Vectors . None of this would have been possible without Patrick’s support and great videos! Being a visual learned myself , it was great how he mapped concepts out so that they would be easy to picture ! For anyone reading this... you are not alone and you are more than capable of making it happen!"
 Laura Maldonado, University of Toronto, Computer Science
"Grade 11 was the year I began to see Patrick and it’s safe to say it was one of the best decisions I’ve made. In my grade 12 year he tutored me during first and second semester. Patrick made my dreams of obtaining an average above 90% in advanced functions as well as calculus and vectors a reality and I’m so grateful. He’s very patient and takes the time to make sure you thoroughly understand the concepts you’re learning, whether it’s with help from his videos, practice tests or him himself. He’s so supportive and dedicated to what he does and pushes you to do your best and succeed in not only whatever subject he’s tutoring you in, but anything you’re striving for."
 Ciera Kellesis, York University, Math and Statistics
"When I started calculus and vectors in the second semester of grade 12, I knew that some extra help could be needed. Since calculus and vectors is much different than other math courses in high school, some of the new concepts can be difficult when learning them for the first time. I came across Patrick via online advertisement and decided to check out his website. His videos are thorough and became extremely helpful to me and allowed me to actually understand the mathematics rather than just memorizing how do do certain problems. With the help of Patrick, I passed calculus and vectors with a good mark and was able to achieve my highest average throughout my four years of highschool."
 Chase Jankovic, Laurier University, Honours Business Administration (BBA)
"Throughout the year, Patrick was truly dedicated to ensure that I understood all course concepts. I was able to earn a 94% in my Advanced Functions course as I scored a 97% on my final exam. As I transitioned into Second Semester, Patrick had started making his Calculus & Vectors students YouTube videos for each lesson in the course. This was very beneficial as I would be able to use these tools as a study guide for quizzes, tests, and my final exam. I was able to achieve a 90% overall mark in my Calculus & Vectors course. Without Patrick, none of my goals would have been achieved. Whether it’s about work, school, music, working out (the list goes on), Patrick and I still talk at least four times a week. I'm very fortunate to have met him not only as my tutor, but as my friend as well."
 Kyle Desouza, Western University, Kinesiology
"Even before I met Patrick I have heard nothing but positive comments from my classmates that he had previously tutored concerning his work ethic, attention to detail, and being able to explain concepts. Patrick began tutoring me when I started Calculus & Vectors. I was happy to know that he was making YouTube videos concerning each lesson with additional example videos that vary in difficulty. If I ever missed a day at school I knew that Patrick's videos would help me understand the lesson on my own. When I was in the library and was done my homework, I asked Patrick for additional questions that I could do to better prepare myself for the unit test and he would never fail to challenge me. Without his help, I don't think I would be able to achieve my overall 90% in the course."
I started getting tutored by Patrick when I was in grade 11. With his help, I managed to raise my functions mark from 68% midterm to 90% final. He was very helpful and was able to answer all my questions easily. My study habits improved a lot as the library was a nice and quiet place to get work done. When I needed help outside of the library, he would send me videos to watch which were easy to follow and understand. I continued going to Patrick in grade 12 and with his help I achieved a final grade of 88% in Advanced Functions and 91% in Calculus and Vectors. Patrick’s tutoring allowed me to get into a University of my choice and I wouldn’t have been able to do it without him. Thank you!
"From grade 9 to 11, I never achieved above 80% in a math course. Knowing grade 12 was extremely important I sought out a math tutor and was recommended by many people to Patrick. Patrick was dedicated, patient, and extremely knowledgeable; answering any question I had. In grade 12 I took all 3 math courses (advanced functions, calculus, data management). He played an extremely important role in helping me get a 94% in data and a 90% in calc and advanced functions. Patrick also has videos and an abundance of extra practice questions assuring that you will be ready for any test or exam. Not only is Patrick a great tutor, he is also easy to talk to and made going to tutoring surprisingly enjoyable. He is one of the main reasons why I got into the extremely competitive BBA program at Laurier."
 Jatin Sehra, Laurier University, Honours Business Administration (BBA)
"I am very thankful for the support and help that Patrick has provided me for my final year of high school. Math was never my strong suit but with his patience and very informative videos, I was able to better understand and enhance my knowledge for advance functions, and for Calculus& Vectors. Achieving a final grade of 86% for Calculus & Vectors, and an 80% in Advance functions. Patrick is someone who connects very well with all of his students and will do his very best to help you succeed in all your courses. Best of luck to all of you!"
 Nerris White, University of Guelph, Biological Science/Microbiology
"Exceptional detail in both videos and notes provided in the course that are easy to refer back to anytime. Well thought through material that relates perfectly to the high school math curriculum. In the in class sessions, I was the most productive in a great learning environment with Patrick always double checking to make sure I understood the concepts to the best of his ability. Through this course I achieved my goals in both Advanced Functions and Calculus of over 90% for both final grades."
 Matthew Toxidis, Laurier University, Honours Business Administration (BBA)
Course Curriculum

PreviewREVIEW  relations, domain and range (video)

PreviewREVIEW  functions and vertical line test (video)

Previewfinding domain and range from table of values or coordinates

Startfinding domain and range from mapping diagram

Startfinding domain and range from a graph

Startfinding domain and range from algebraic expressions part 1

Startfinding domain and range from algebraic expressions part 2

Startrelations and functions example 1

StartFinding Domain and Range from Complex Graph Example 1 (video)

StartFinding Domain and Range from Complex Graph Example 2 (video)

StartFinding Domain from Complex Functions Example 1 (video)

StartFinding Domain from Complex Functions Example 2 (video)

StartFinding Domain from Complex Functions Example 3 (video)

StartFinding Domain from Complex Functions Example 4 (video)

StartDraw Relation given Characteristics (video)

StartREVIEW  Absolute Value Function Overview (video)

Startabsolute value inequalities part 1 (video)

Startabsolute value inequalities part 2 (video)

StartAdvanced Absolute Value Function 1 (video)

StartAdvanced Absolute Value Function 2 (video)

StartAdvanced Absolute Value Function 3 (video)

StartAdvanced Absolute Value Function 4 (video)

Previewintervals of increase and decrease (6:01)

StartIntervals of Increase vs Decrease Breakdown (PDF)

Previewsymmetry (odd vs even) (6:07)

Startsymmetry (odd vs even) example (video) (8:14)

StartHow Can We Make a Quadratic Even?? (video)

StartAdvanced Symmetry (odd vs even) Example 1 (video)

StartAdvanced Symmetry (odd vs even) Example 2 (video)

StartAdvanced Symmetry (odd vs even) Example 3 (video)

StartAdvanced Symmetry (odd vs even) Example 4 (video)

StartAdvanced Symmetry (odd vs even) Example 5 (video)

StartAdvanced Symmetry (odd vs even) Example 6 (video)

StartAdvanced Symmetry (odd vs even) Example 7 (video)

Startcontinuity and discontinuity (3:22)

Startend behaviours (4:44)

Startcharacteristics of parent functions (video) (11:59)

Startcharacteristics of sin(x) (video) (11:50)

StartSketching Function given Characteristics Example 1 (PDF)

StartSketching Function given Characteristics Example 2 (PDF)

Startquiz (pdf)

Startquiz solutions (pdf and video) (11:57)