Algebra II - CP,
Algebra II AG-CP,
Advanced Algebra II - Honors
Algebra II is a full-year course offered to college bound students in Grades 11 and 12 who have successfully completed both Algebra I and Geometry with a C or better and have passed the practice HSPA 10. Algebra II AG is offered to students in Grade 12 who have successfully completed the Algebra/Geometry 1, 2, and 3 program with a C or better and are proficient on the HSPA 11.
Advanced Algebra II is offered to students in Grade 9 who have completed Algebra I in the eighth grade with a B or better and are proficient on the GEPA.
All three Algebra II courses enable the college preparatory student to further their mathematical ability in the use of variables for solving equations and inequalities. It also continues the emphasis from Algebra 1 in solving verbal problems. In addition, the course introduces the student to more involved processes of Mathematics such as conic sections, higher degree polynomials, and the methods of solving quadratic equations that do not have perfect square discriminates. The student is also introduced to the Imaginary Number System as another solution set for equations.
The Advanced Algebra II Honors course pursues the more involved processes of Mathematics to include Sequences and Series, Matrix Algebra, and the use of Pascal's Triangle and the Binomial Theorem. This coursework enables the mathematically competent student to use and understand the more complex concepts in Algebra and continue in the advanced program. These topics covered coincide with those presented in the Algebra III section of the Algebra III/Trigonometry course.
Minimal proficiencies which must be mastered for the student to receive 5 credits for this course are :
- Defining and graphing the set of Real numbers.
- Using the properties of real numbers to evaluate and simplify expressions.
- Performing the arithmetic operations on signed numbers, terms with exponents, and polynomials and monomials.
- Solving linear equations and inequalities in one variable using one-step and multi-step operations.
- Using and writing formulas to solve equations.
- Factoring monomials and polynomials.
- Solving various types of quadratic equations.
- Using Pascal's Triangle and Binomial Theorem for binomial expansion.*
- Graphing points and lines on the Cartesian Plane.
- Solving systems of linear equations and inequalities in two variables.
- Identifying and simplifying rational, irrational, and complex numbers.
- Solving rational and radical equations.
- Simplifying expressions with complex numbers.
- Performing the arithmetic operations on rational and radical expressions, and complex numbers.
- Identifying and writing terms in Arithmetic and Geometric Sequences and Series.*
- Performing the arithmetic operations with matrices.*
- Finding the Inverse and Determinant of a square matrix.*
- Solving Matrix equations and linear systems using matrices.*
- Solving verbal problems involving linear, quadratic, and rational equations, and direct and inverse variation.
- Develop an understanding of statistics and probability and use them to describe sets of data, model situations, and support appropriate inferences and arguments.
* Covered in Advanced Algebra 2 only
Mr. Shagren Mr. Duca Mr. Chew