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This is a representative list of topics covered in our Grade 12 Math program - however all programs will be customized for the individual student.

## Instructions To Master -12th Grade Math

Step 1

Monitoring to your progress and ask questions from the start of your 12th Grade Math semester. If you have problems with this homework, write down the specific numbers. Ask for help as soon as you have trouble and do not wait until the day before to a test. Teachers are a set more likely to help you if you have the material ready at hand and try to prepare ahead of time.

Step 2

Review your old algebra I and geometry notes before starting 12th grade math Practice number system, algebra 1, algebra 11, pre calculus, calculus, statistics, geometry, trigonometry, and advanced trigonometry.

Step 3

Take the time to read the objects in the textbook even if you think that you understand it. Many students rely severely on the teachers lecture, but math textbooks now often contain color-coded examples, suitable charts and tricks for remembering formulas. The writers gear to the text books toward various learning styles, so you might pick something up that you missed from the teacher.

Step 4

Figure out how concepts are mutually similar and different from each other. For example compare the concepts we learnt on Algebra 1, 2 when compared with 12th Grade Curriculum. Then, determine the differences between the two skills. This will help you remember formulas in addition to graphs so that you retain the information in a "big-picture" way as you enter 12th grade.

Step 5

When a test draws near, use this chapter reviews and chapter tests of the book to practice quizzing yourself. Assigned to homework problems alone are almost never enough practice to do well on a test. In addition, tackle problems that are harder than ones your teacher assigned or that you expect to be on the test.

12th grade math, cover all topics covered in earlier grades, but in advanced level. It is very important to be well prepared and comfortable with concepts in this grade to get ready for Higher studies. You need to have a good knowledge of topics like: Algebra, Calculus, Geometry, Probability and Statistics.

Few problems based on 12th grade are given below:

### Solved Examples

Question 1:  If A = $\begin{bmatrix} 7&3 \\ 10& 11 \end{bmatrix}$. Find det A
Solution:

Given A = $\begin{bmatrix} 7&3 \\ 10& 11 \end{bmatrix}$

det A = A = $\begin{vmatrix} 7&3 \\ 10& 11 \end{vmatrix}$ = 77 - 30 = 47

So det A = 47

Question 2: Evaluate $\int_0^1$ $\frac{(sin^{-1}x)^2}{\sqrt{1-x^2}}$ dx
Solution:

Let I = $\int_0^1$ $\frac{(sin^{-1}x)^2}{\sqrt{1-x^2}}$ dx

Put sin$^{-1}$x = t

By differentiating, we get

$\frac{1}{\sqrt{1-x^2}}$ dx = dt

When x = 0 then t = 0

When x = 1 then t = $\frac{\pi}{2}$

Now

I = $\int_0^\frac{\pi}{2}$  (t$^2$) dt

= $\frac{t^3}{3}$ $|_0^\frac{\pi}{2}$

= $\frac{1}{3}$ ($\frac{\pi}{2})^3$

= $\frac{\pi^3}{24}$

*AP and SAT are registered trademarks of the College Board.