Common core are standards of high quality in academics for math and English. These standards define an outline of what a student should know at the time when he or she completes a specific course or a specific grade. There are common core standards for algebra 2 as well. The detailed concepts covered in algebra 2 under common core standards are as listed below:

a. Various operations on functions such as addition, subtraction, multiplication and composition.

b. Finding of inverse of functions both graphically as well as algebraically.

c. Special functions such as piecewise, step, absolute value etc and their graphs and transformations along with transformations of standard functions like linear, quadratic, reciprocal etc.

d.

Average rate of change using tables, equations and graphs

2. Systems of inequalities

a. Solution to inequalities in one variable.

b. Graphing linear and non-linear inequalities and identifying their solution regions.

c. Linear system of inequalities, their solutions and applications

d. Linear programming problems.

3. Quadratics

a. Assume that all concepts of algebra 1 related to quadratics are thoroughly known and ingressed.

b. Introduction to imaginary numbers and arithmetic operations on them.

c. Quadratic equations with complex numbers as solutions.

d. Graphing of quadratic functions.

e. Application of quadratic functions.

4. Exponential and logarithmic functions

a. Exponential models for growth and decay of quantities.

b. Graphing exponential and logarithmic functions.

c. Solving exponential and logarithmic equations.

d. Laws of exponents and laws of logarithms.

e. Real world applications of exponential and logarithmic functions.

5. Polynomials

a. Operations on polynomials like multiplication, division, addition and subtraction.

b. Remainder and factor theorem, identifying zeros (or roots), solving for zeros and graphing polynomial functions.

c. Methods of division: Synthetic division and long division.

6. Rational and radical functions

a. Writing, rewriting, and solving simple radical equations with real or imaginary solutions.

b. Arithmetic operations on radical expressions.

c. Solving rational equations.

d. Simplifying radical expressions.

7. Sequences and series

a. Arithmetic sequence and series.

b. Geometric sequence and series.

c. Sum of finite terms of an arithmetic series using formula.

d. Sum of finite terms of a geometric series using formula.

8. Statistics

a. Mean, median, mode, range and standard deviation.

b. Normal distribution, normal distribution curve and area under it.

c. Simple random sampling.

d. Process of data generation – step by step.

e. Margin of error – definition and calculations.

f. Understanding the meaning of level of significance.

9. Trigonometry

a. Trigonometry with reference to a right triangle.

b. Six trigonometric functions of any angle.

c. Angle measure in radians and length of arc of circle.

d. Unit circle and its relation to trigonometric ratios.

e. Fundamental trigonometric identities.

f. Graphing of trigonometric functions and its application with reference to amplitude, period and median line.