In our previous blog, we explored the topics covered in “Heart of Algebra” and “Problem Solving and Data Analysis.”

Now in Part 2, we will go over the topics in “Passport to Advanced Math” and “Additional Topics in Math.”

**Passport to Advanced Math**

*Equivalent Expressions and Equations*

- Determine the best form of a rational expression
- Make equivalent expressions containing rational exponents
- Perform operations on polynomial expressions
- Solve a system of one quadratic equation and one linear equation

*Exponential Functions*

- Generate or solve an exponential function
- Make connections between tables, algebraic representations, and graphs

*Other Nonlinear Functions*

- Clarify parts of nonlinear expressions
- Understand a nonlinear relationship among multiple variables
- Use function notation to interpret and solve statements

*Polynomial Factors and Graphs*

- Understand the link between factors of polynomials and zeros
- Make connections between tables, algebraic representations, and graphs

*Quadratics*

- Generate and solve quadratic equations
- Make connections between tables, algebraic representations, and graphs

*Radical and Rational Equations*

- Solve an equation that contains radicals or a fraction in the denominator

**Additional Topics in Math**

*Area and Volume*

- Solve problems using area and volume formulas of geometric figures

*Circle Theorems and Properties*

- Use and apply theorems about areas of sectors, arc lengths, angle measures, and chord lengths

*Complex Numbers*

- Perform operations and simplify complex numbers

*Equations of Circles*

- Generate expressions in two variables to solve a question about circles in the coordinate plane
- Understand how changes to the equation of a circle affect the location and size of the graph of a circle

*Lines, Angles, and Triangles*

- Use congruence and similarity to solve questions about triangles, angles, and lines
- Apply geometric theorems to solve for unknowns

*Trigonometry*

- Apply the Pythagorean theorem and use trigonometric ratios
- Convert between degrees and radians
- Employ radians to solve for arc lengths

Now that you know what to prepare for, it’s important to take a **diagnostic test** to determine which topics you need to improve on. Then, to improve your performance on those topics, **set** up a study schedule and **study**, study, study!