Course Description
This course is an intensified study of the topics included in the Regular College Prep Algebra II course. The pace of the course is accelerated and the topics are discussed in more depth. The students will acquire a deeper understanding of the mathematical concepts included in a College Prep Algebra II curriculum and will develop stronger problem solving techniques and critical thinking skills. This course will also better prepare students for the more advanced mathematics and science courses that they may choose later in their high school years A TI-83 or TI-84 graphing calculator is required.
Core Curriculum Content Standards
PA Common Core: Mathematics (2013)
Numbers and Operations
GRADE High School
- Apply and extend the properties of exponents to solve problems with rational exponents(2.1.HS.F1)
- Extend the knowledge of arithmetic operations and apply to complex numbers.(2.1.HS.F6)
- Apply concepts of complex numbers in polynomial identities and quadratic equations to solve problems.(2.1.HS.F7)
Algebraic Concepts
GRADE High School
- Use the concept and notation of functions to interpret and apply them in terms of their context.(2.2.HS.C1)
- Graph and analyze functions and use their properties to make connections between the different representations.(2.2.HS.C2)
- Interpret the effects transformations have on functions and find the inverses of functions.(2.2.HS.C4)
- Construct and compare linear, quadratic and exponential models to solve problems.(2.2.HS.C5)
- Interpret functions in terms of the situation they model.(2.2.HS.C6)
- Interpret the structure of expressions to represent a quantity in terms of its context.(2.2.HS.D1)
- Write expressions in equivalent forms to solve problems.(2.2.HS.D2)
- Extend the knowledge of arithmetic operations and apply to polynomials.(2.2.HS.D3)
- Understand the relationship between zeros and factors of polynomials to make generalizations about functions and their graphs.(2.2.HS.D4)
- Use polynomial identities to solve problems.(2.2.HS.D5)
- Extend the knowledge of rational functions to rewrite in equivalent forms.(2.2.HS.D6)
- Create and graph equations or inequalities to describe numbers or relationships.(2.2.HS.D7)
- Apply inverse operations to solve equations or formulas for a given variable.(2.2.HS.D8)
- Use reasoning to solve equations and justify the solution method.(2.2.HS.D9)
- Represent, solve and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically.(2.2.HS.D10)
Measurement, Data and Probability
GRADE High School
- Summarize, represent, and interpret data on a single count or measurement variable.(2.4.HS.B1)
- Use the concepts of independence and conditional probability to interpret data.(2.4.HS.B6)
- Apply the rules of probability to compute probabilities of compound events in a uniform probability model.(2.4.HS.B7)
Units
Unit #1 - Inequalities and Absolute Value
Unit #2 - Linear Equations
Unit #3 - Functions
Unit #4 - Systems of Equations
Unit #5 - Polynomials
Unit #6 - Factoring
Unit #7 - Radicals
Unit #8 - Rational Functions
Unit #9 - Probability and Statistics
Unit #10 - Logarithms
Course Resources
Textbook: Algebra II, Prentice Hall, ISBN 978-0-13-366034-0
Teacher generated worksheets and materials
Texas Instruments graphing calculator TI-83+ or TI-84
Kuta Software - Infinite Algebra II
Google Classroom
