Students will extend, integrate, and apply Algebra II and Geometry related skills and concepts in preparation for Calculus. Topics include: conic sections, composition of functions & inverse of a function, exponential & logarithmic function, the nature of graphs (transformations, asymptotes, symmetry, etc.). Trigonometric topics include: right triangle trigonometry, circular functions, graphs of the periodic functions, laws of sines and cosines, solving trigonometric equations, inverse trigonometric functions, identities, polar coordinates. In addition, problem solving, data analysis, communication of mathematics in both written and oral form, and the appropriate use of technology are strands, which will permeate the entire course. The Bow High School mathematics department encourages pre-calculus students to purchase their own TI-84 graphing calculator, or an equivalent thereof.
School Competencies
- Applied Mathematical Modeling (Problem Solving & Analysis - Foundational)
- Critical Thinking (Problem Solving & Analysis - Foundational)
- Cognitive Flexibility (Problem Solving & Analysis - Advanced)
- Viable Technological Usage (Problem Solving & Analysis - Foundational)
- Interpretation (Problem Solving & Analysis - Foundational)
- Creativity (Communication - Foundational)
- Logical Processing (communication -Foundational )
Course Competencies
- Polynomial Functions: Illustrate and analyze variations of polynomial functions, and use a variety of solving methodologies to obtain correct solutions.
- Rational Functions: Simplifying, solving, analyzing and graphing rational functions.
- Exponential and Logarithms: Solve and graph exponential and logarithmic functions using properties.
- Trigonometric Functions: Given real-world scenarios, use the trigonometric relationships to solve for unknown quantities.
- Trigonometric Graphs: Given a real-world scenario, use trigonometric functions to formulate an accurate graph based on its amplitude, period, and phase shift.
- Trigonometric Identities: Use trigonometric identities to solve and verify trigonometric relationships.
- Conic Sections: Given an equation defining a conic section, determine the appropriate properties of the graph and vice versa.
Credits
1
Grades
9-12