Qcaa Graphics Calculator

[Celena Angolo]

Anew edition of the most trusted Queensland senior mathematics resources for students and teachers with a proven teaching and learning formula, written by a team of authors with unrivalled expertise.

A new edition of the most trusted senior mathematics resources for Queensland delivers content and topic sequencing closely aligned to the new syllabus, with a proven teaching and learning formula from authors with unrivalled expertise. Enhanced features such as support for Problem-Solving & Modelling Tasks (PSMTs), carefully revised categorisation of Complex Familiar and Complex Unfamiliar questions, chapter review questions that closely reflect the QCE exam-format, and skills checklists, now with sample questions, in all courses will lead to QCE success for all students. The Second edition also features refined use of language in Essential Mathematics, new section summaries in General Mathematics, and video demonstrations for all worked examples in Specialist Mathematics. Plus the Innovative digital resources fully integrated with the print textbook allows for a flipped classroom approach, a powerful Learning Management System and independent learning opportunities.

Peter Jones is a Professor Emeritus and formerly Head of the School of Mathematical Sciences at Swinburne University of Technology. He has been an active supporter of school mathematics over many years and helped pioneer the introduction of graphics calculators into Victorian schools. Peter is a highly experienced writer of mathematical content. His area of expertise is applied statistics.

Kay Lipson has a PhD in Statistics Education, and Diploma of Education. Her experience includes over 30 years teaching mathematics and statistics at both secondary and tertiary level, as well as extensive periods as a VCE examiner. Kay is an experienced author of textbooks for the Years 11 and 12 Mathematics courses, specialising in the areas of Probability and Statistics.

Rose Humberstone is an experienced teacher of VCE Mathematics, with degrees from the University of Melbourne in Science and Commerce, a Ph.D. in Economics and a Masters in Education. She is currently a Head of House at Scotch College. Rose has held various curriculum leadership positions in her career as well as working as a VCAA examination assessor.

David Main is an experienced teacher of senior VCE Mathematics. David has written several books in the area of General Maths and graphics calculators. For many years he was Head of Mathematics at an Independent school in Melbourne.

Barbara Tulloch has worked at Monash University as a Mathematics Methods lecturer in the Education Faculty and is an experienced Mathematics teacher. She is currently teaching at a State secondary college.

This course is for students studying Mathematical Methods and/or Specialist Mathematics, who wish to increase their awareness of graphics calculator applications and excel in the necessary techniques required for the successful completion of technology active exams.

This Technology course comprises a series of tutorials which provide a framework for the use of the graphics calculator pertinent to a variety of mathematical concepts studied within both Mathematical Methods and Specialist Mathematics. Each tutorial presents one problem applicable to a particular mathematical objective within the QCAA syllabus and uses a graphics calculator simulator to demonstrate the technological steps required to solve the example of interest.

In Year 11 (Unit 1 & 2), you will cover combinatorics, vectors, proof, complex numbers, trigonometry, functions and matrices. In Year 12, most concepts introduced will be built upon the things you learnt in Year 11, for example, further vectors, matrices, and complex numbers. Additionally, some QCE Specialist Maths concepts are based off what you learn in Maths Methods, like further calculus and statistical inference. You can find the full syllabus on the QCAA website here.

IA1 is a problem solving and modelling task, or PSMT. The PSMT is an assignment just like the science reports that you have done previously in year 10. Instead of experiments with chemicals, you do experiments with maths models and formulas, depending on the task you are given. In my Year 12 PSMT, I was tasked to find a suitable model for a predicting sports competition, which involved the application of matrices (dominant matrices). These tasks usually differ between schools, but they are not impossible if you understand the mathematical concepts taught to you in lessons (or tutoring sessions!).

These are relatively short and will only focus on the specific topics covered in that term (e.g., vector calculus and complex numbers only). The narrow scope makes these exams more easy to prepare for than your final exam of the year.

Specialist Maths is the hardest maths subject you can complete in QCE. Surprisingly, most candidates do relatively well, with most achieving 40-46/50 (around 80%) in their external exams in 2022. The external exam consists of two papers, which I will introduce to you further in this blog.

Paper 1 is technology-free paper, which means that you will not be allowed to use your graphics calculators and/or scientific calculators. There are four types of questions, multiple choice, simple familiar, complex familiar, and complex unfamiliar questions.

Paper 2 is technology-active paper, which means that you will not be allowed to use your graphics calculators and/or scientific calculators. The same four types of questions apply to your Paper 2 as well.

There is no cheat code to maths subjects, and the only way to excel in Specialist Maths is practice, practice, and more practice. There are tons of content that you can work on, so it is extremely important to organize your resources well. I suggest starting with the questions in your textbook as they are the most basic questions and a good indicator of whether you have fully grasped hold of the content in that chapter or not. If you start feeling that the textbook questions are too easy for you, you may be ready to do some past papers.

However, doing past paper questions only is not enough. In fact, a crucial part that leads to improvement is learning from the mistakes that you have made. You can do this by marking your own working according to the solutions provided, which allows you to know which part is your weakest part, and which part is your strongest. For example, if you got full marks for all your matrices question, but performed poorly in your vector calculus section, you may need to revisit your textbook to gain a better understanding or vector calculus.

Marking your own work also allows you to understand how marks are allocated. For instance, getting the answer is not the most important thing when you do a question. In fact, the answer may only be worth one mark, while your logic and working could add up to three marks or even eight marks in complex unfamiliar questions.

With the exam paper sitting in front of you, the mental aspect is equally important as your maths. Stay calm and recall all the practice you have done on Specialist maths which will help you in your exam. Trusting yourself and knowing that you will do well is a necessary move that will calm you down.

When you come across a hard question, try your best to show some kind of working or put down one or two formulas that you think might be related to the topic of the question. You never know how marks are allocated until you get your results, and by then, it could surprise you when you find out that one or two marks were given to your educated guesses here and there!

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