Course Description
The course is designed for students who do not wish to take the Advanced Placement Exam in Calculus. The course will be comparable to a college-level Calculus class.
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)
- Apply properties of rational and irrational numbers to solve real world or mathematical problems.(2.1.HS.F2)
- Apply quantitative reasoning to choose and Interpret units and scales in formulas, graphs and data displays.(2.1.HS.F3)
- Use units as a way to understand problems and to guide the solution of multi-step problems.(2.1.HS.F4)
- Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.(2.1.HS.F5)
- 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)
- Write functions or sequences that model relationships between two quantities.(2.2.HS.C3)
- Interpret the effects transformations have on functions and find the inverses of functions.(2.2.HS.C4)
- 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)
- 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 trigonometric ratios to solve problems involving right triangles.(2.3.HS.A7)
- Apply geometric theorems to verify properties of circles.(2.3.HS.A8)
- Explain volume formulas and use them to solve problems.(2.3.HS.A12)
- Analyze relationships between two-dimensional and three-dimensional objects.(2.3.HS.A13)
- Apply geometric concepts to model and solve real world problems.(2.3.HS.A14)
Units
Unit #1 - Precalculus Review
Unit #2 - Limits
Unit #3 - Differentiation
Unit #4 - Applications of Differentiation
Unit #5 - Integration
Unit #6 - Applications of Integration
Unit #7 - Exponential and Logarithmic Functions
Unit #8 - Trigonometric Functions and Inverse Trigonometric Functions
Course Resources
Calculus, Alternate 5th Edition - Larson
Teacher Created Assignments/Notes
