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Math is the most important subject throughout high school, besides English. Achieving a good math grade will open up opportunities for students to enter key university programs such as business, the sciences, and engineering. Nearly 85% of all university programs require good math grades to enter.
The major concern for math is that it is cumulative. Each math grade level is a building block to the next, and without a strong knowledge of previous math concepts, students will struggle. For example, math tests often check for understanding of previous math concepts in most steps of the questions asked.
At QEA, we focus on building the student’s math foundations for their long term success. Since QEA is an inspected school under the Ministry of Education, we have in-depth knowledge of the math curriculum and how each math building block leads to the next. Through easy-to-understand lessons and step-by-step explanations, most of our students progress well in math and develop a passion for it.
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Students should begin building their math foundational skills in Grade 7 or 8, starting with integers and fractions, and proceeding into graphing, algebra and more complex manipulations in high school. Without strong foundational skills, a student will struggle with math year by year, chapter by chapter. The key is to patch up math foundational gaps with lessons and lots of practice so that the student can strengthen his or her understanding.
This is a typical math challenge that most students face. Most students have difficulties translating word problems into equations and variables. The strategy is to have students understand different word problem scenarios within a chapter by having them associate the key elements to the variables and equations.
Once a student enters Grade 10 math, he or she will encounter complicated math concepts involving many parts. The challenge is to know when to use what equation!
One strategy that QEA uses is to show the “big picture,” rather than going into the technical details right away. Once the student understands the “big picture” - why each part exists and how they all relate to each other - he or she can then truly understand the math concept. Applying the equations will now be much easier.
Grade 9 and 10 math is a large leap from elementary school math, especially for those who scored 75% or lower. Many new math concepts are introduced, such as linear equations, quadratics and geometry.
Common challenges in Grade 9 and 10 math include thinking problems and word problems. Students need to strengthen their foundational skills to succeed in Grade 9 and 10, especially if they have gaps in their Grade 8 and 9 learning. Such gaps include integers, fractions, and linear equations. Students must work diligently in these areas in order to proceed on to Grade 11 math successfully.
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Grade 11 Math represents an important stepping stone in progressing to the 12th grade. Students at this stage are often at a crossroads, namely whether to take the Mixed level math course or the Academic level math course. My advice to students would be to stick with the Grade 11 Academic Math, even if it requires a bit more work or a summer math upgrade. This course will open many doors to university programs ranging from engineering to business and many others. Unless a student is absolutely certain of the path they wish to take, it is probably better to stick with the more flexible math option.
There are many challenging units in grade 11 Math including exponents, transformation, trigonometry graphing, and trigonometry identities (the first time you will encounter proofs).
The simpler units include Quadratics, which is mostly a review of grade 10 material, and series and sequences.
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Advanced Functions a very important course for many students because most university programs require this course as a pre-requisite. The skills learned in the Grade 11 course are built upon in Advanced Functions, including factoring, graphing, trigonometry and exponents. Students will likely have varying levels of proficiency when taking Advanced Functions, as some units, such as polynomial functions, are quite simple, while others, such as trigonometry and proofs. Some students have thus described Advanced Functions as a rollercoaster ride of a course, with all the thrills (and challenges) that entails.
Calculus includes two different sections, one is derivative, or rather extends from work in Advanced Functions, while the other is Vectors Calculus, which is completely new. Vector Calculus bears some resemblance to Physics in terms of problem solving. The Calculus derivative section will branch out from the work done in Advanced Functions and will include algebra, graphing, trigonometry and logarithms. The vector component is entirely new, involving 3D equation of lines and planes. The problem solving aspects of Vectors Calculus are similar to physics, and many students find this component of the course particularly difficult.
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In order to succeed in Vector Calculus, make sure you are proficient in exponents, factoring, combining rational expressions such as fractions with algebra, and solving equations.
Make sure to pay special attentions to the Optimization Unit in Calculus, which includes many word problems. If you struggle with word problems, make sure to prepare for this Calculus unit in particular. As always, make sure to keep your notes organized. Identify the different kinds of Calculus problems. This will help you to clarify the Calculus concepts in this course significantly, and also help to keep track of your progress.
Queen Elizabeth Academy has a strong tradition of providing high quality education through our science tutoring programs. Many of our students were admitted to top universities with scholarship ranging from $2,000 to $23,000. Queen Elizabeth students alumni had build strong foundation, which had helped them to pursue their science career in university. Many of our students alumni had successfully entered medical school and Master degree program in chemistry and biology.
In our science tutoring programs, we coach our students with care and with easy to understand explanation over complex science concepts. We work with our student through step by step
*Note that Queen Elizabeth premise are currently located in Mississauga, Oakville and Etobicoke. For the other locations, we offer online live tutoring over zoom.
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