Algebra II (3143) VA
Algebra II is a full-year, high school math course intended for the student who has successfully completed the prerequisite course Algebra I. This course focuses on algebraic techniques and methods in order to develop student understanding of advanced number theory and concepts involving linear, quadratic, exponential, rational, radical, and polynomial functions. Students also explore statistical concepts, applying their understanding of functions to solve problems.
- Structure and Functions: Student will review the properties of functions, determine the domain, range, and inverse of a function, and simplify expressions by combining like terms and applying rules for exponents.
- Linear Functions: Student will determine the slope of a line and use that information to write an equation, compare lines, and solve a system of equations using the addition property of equality, the substitution property of equality, and graphical methods.
- Inequalities and Absolute Value: Student will solve and graph inequalities, including absolute value inequalities in one or two variables.
- Polynomials: Student will factor polynomials, including applying their understanding of the difference of two squares, perfect square trinomials, and the difference of two cubes. The student will also solve problems involving direct variation, inverse variation, and joint or combination variation.
- Algebraic Fractions: Student will add, subtract, multiply, and divide with rational expressions, as well as solve and graph rational equations and functions that model mathematical and real-world situations.
- Real Numbers: Student will evaluate and simplify expressions containing radicals and fractional exponents and solve quadratic equations and systems of quadratic equations using a variety of methods. The student is also introduced to the concept of imaginary numbers and complex solutions.
- Functions: Student will explore a variety of functions and systems of equations, including exponential, absolute value, radical, and piece-wise defined functions.
- More Functions: Student will deepen the understanding of inverse functions, understanding the inverse relationship of exponential and logarithmic functions.
- Statistics: Student will algebraically represent sequences and series, including arithmetic and geometric, and distinguish between permutations and combinations. The student will also describe properties of normal distributions and solve statistical problems with linear, quadratic, and exponential models.