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Algebra 1 also introduce new complex concepts, especially linear equations. Students in Algebra 1 have difficulty understanding the connection between equations and graphs. For instance, what is x and y intercept? What is a slope? How do you graph a line with a certain value of slope and how to determine the slope from an equation? What to deal with the extreme cases?

Students need to grasp the concepts with practice in order to excel in Algebra 1.

What are you getting when you " plug in " a number into an equation and determine the y value? What does it look like on a graph?

Without understanding the concept, the student will start memorize, and he / she will stumbled on tests when the test changes the question.

Once the student understands the concept, the next step is to go over a variety of problems, step by step. The key is to explain the rationale behind the questions.

With good lesson and practice, you will certainly excel in Algebra 1!

Students having foundation gaps from Algebra 1, especially if they don't understand the linear system units in Algebra 1, will find geometry difficult.

The trigonometry unit in geometry is very important. It serves as a foundation step to Algebra 2 and calculus. It is important to ensure that the student has a good foundation on trigonometry, because the Algebra 2 versions is built on this and is very difficult.

Analyticaly geometry, the toughest unit, oftens requre many steps (a full page of solution!) to solve a problem. Our approach is to teach the student the "plan" in plain English, rather than drilling into each of the technical details. The student can then combine their knowledge and execute each step of the plan. This approach helps the student to understand the "big picture" or overview of the solution, instead of memorizing a lot of tiny steps, which can get confusing.

Trigonometry is very important in geometry, serving as a foundation for Algebra 2 and calculus. We have seen students with weak foundation in trigonometry stumbled on the senior high school mathematics. Understanding trigonometry with lots of practice is critical!

Students with weak foundation from Algebra 1 will find this course especially difficult. These include factoring, graphing techniques, linear systems, trigonometry. Students with these foundation gaps will make mistake across the tests and exams. On the surface, it looks like careless errors, but it's foundation weaknesses.

Oftentimes the first 2-3 steps of a problems belong to new concepts, then the remaining steps relate to foundation knowledge, such as simplying algebra or solving an equation. Therefore students with foundation gaps will lose marks everywhere.

Once the student understands the concept, the next step is to go over a variety of problems, step by step. The key is to explain the rationale behind the questions. Because the problems are advanced in Algebra 2, it is important for students to get exposed to a variety of problems and knowing how they are related to the core concepts.

once the student understands these, things will fall together, and Algebra 2 will be much easier.

With good lesson and practice, you will certainly excel in Algebra 2!

Students with weak foundation from Algebra 2 will find this course especially difficult. These include factoring, quadratics, rational functions and trigonometry. Students with these foundation gaps will make mistake across the tests and exams. On the surface, it looks like careless errors, but it's foundation weaknesses.

Oftentimes the first 2-3 steps of a problems belong to new concepts, then the remaining steps relate to foundation knowledge, such as simplying algebra or solving an equation. Therefore students with foundation gaps will lose marks everywhere.

Pre-calculus concepts are difficult. It is important for students to understand and not memorize.

Once the student understands the concept, the next step is to go over a variety of problems, step by step. The key is to explain the rationale behind the questions. Because the problems are advanced in Pre-calculus, it is important for students to get exposed to a variety of problems and knowing how they are related to the core concepts.

Some of the units, such as vectors, will require more detailed explanation. These concepts are more related to physics. Other units such as inverse functions and trigonometry are an extension of Algebra 2

once the student understands these, things will fall together, and Pre-Calculus will be much easier.

With good lesson and practice, you will certainly excel in Pre-Calculus!

For example, a popular type of derivative is called the product rule. The basic equation is not difficult. However, to apply that equation under different types of questions or circumstances is hard. If the question has multiple exponents or fractions, or negative exponent, the chain rule applied will be very different.

On a test, the teacher will not tell the student what to apply, the student will need to recognize certain characteristics (fraction or exponents or root etc.) and know what to do with it - this requires all the understanding of these concepts from the previous years!

The next challenge is the variety of questions coming out of a single concept.