Course Description
This course will prepare the student for post-graduate study in 4-year college programs, trade schools, technical schools, community colleges, and nursing programs. The topics covered include quadratic equations, rational expressions, irrational and complex numbers, logarithms, and trigonometry. Problems will connect algebraic concepts to real-life situations.
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 8
- Apply concepts of radicals and integer exponents to generate equivalent expressions.(2.2.8.B1)
GRADE High School
- Graph and analyze functions and use their properties to make connections between the different representations.(2.2.HS.C2)
- 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)
- Apply radian measure of an angle and the unit circle to analyze the trigonometric functions.(2.2.HS.C7)
- Choose trigonometric functions to model periodic phenomena and describe the properties of the graphs.(2.2.HS.C8)
- Prove the Pythagorean identity and use it to calculate trigonometric ratios.(2.2.HS.C9)
- 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)
Geometry
GRADE High School
- Apply the concept of congruence to create geometric constructions.(2.3.HS.A4)
- Verify and apply theorems involving similarity as they relate to plane figures.(2.3.HS.A6)
- Apply trigonometric ratios to solve problems involving right triangles.(2.3.HS.A7)
- Apply geometric concepts to model and solve real world problems.(2.3.HS.A14)
PA Common Core Standards for Mathematical Practice
Mathematical Practices
Grade 9-12
- Make sense of problems and persevere in solving them. (9-12.1)
- Model with mathematics. (9-12.4)
- Attend to precision.(9-12.6)
- Look for and make use of structure. (9-12.7)
Units
Unit #1 - Factoring
Unit #2 - Rational Expressions
Unit #3 - Quadratics
Unit #4 - Quadratic Applications
Unit #5 - Radicals
Unit #6 - Exponents
Unit #7 - Logarithms
Unit #8 - Right Triangle Trigonometry
Unit #9 - Unit Circle
Unit #10 - Trigonometric Expressions
Unit #11 - Trigonometric Identities
Unit #12 - Exact Trigonometric Values
Unit #13 - Oblique Triangle Unit
Course Resources
Addison-Wesley Algebra and Trig textbook
Teacher created materials
Graphing calculators
Delta-math
Quizizz
Blooket
Kuta
