Course Description
The course extends the concepts of Algebra I to a higher level of comprehension. Topics include the exploration of inequalities, absolute value equations, lines, systems of equations, polynomials, factoring, radicals, quadratic equations, logarithms and functions. A TI-84 graphing calculator is recommended.
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)
- 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 equations
Unit #2 - Graphing lines
Unit #3 - Functions
Unit #4 - Systems of equations
Unit #5 - Polynomials and Exponents
Unit #6 - Factoring
Unit #7 - Radicals
Unit #8 - Logarithms
Unit #9 - Graphing Functions
Course Resources
Infinite Algebra II, Teacher Created Material, Delta Math
