Math Course for Grade 12
Course Length
2 Semesters
Pre-calculus prepares students for calculus and advanced math at the college level.
In Ignite Christian Academy’s math courses, students strengthen critical thinking skills and learn to apply mathematical concepts to real-life situations to come up with practical solutions. Math allows students to see and discover the order of the natural world, through logic, patterns, and processes. Math gives students insight into the rational, consistent nature of God. Examination of various mathematical concepts contributes to a deeper understanding of God’s creative and ordered design and the responsibility to use the ability to reason, problem solve and make choices based on our understanding of content to serve and glorify God.
Designed to follow Algebra II, this rigorous full-year course builds upon students’ understanding of various aspects of functions: graphing, composition, inverses, modeling, systems, and inequalities. Students expand their knowledge of trigonometric functions to include graphs of reciprocal functions, and they apply trigonometry to a variety of real-world problems. Students prove trigonometric identities and use them to solve equations. Throughout the course students make connections between geometry and algebra as they: use graphs to solve polynomial, rational, exponential, and logarithmic inequalities; perform operations with complex numbers and vectors; use coordinate algebra to derive equations of ellipses and hyperbolas, and find limits of functions. The standards of mathematical practice are embedded throughout the course as students apply mathematical concepts in modeling situations, make sense of problem situations, solve novel problems, reason abstractly, and think critically.
Additional Details
Although the course can be completed with a scientific calculator, a graphing calculator is recommended.
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Overview of Concepts
- Unit 1 Functions and Modeling
- Unit 2 Trigonometry
- Unit 3 Analytic Trigonometry
- Unit 4 Complex Numbers and Polar Coordinates
- Unit 5 Vectors
- Unit 6 Matrices
- Unit 7 Systems and Matrices
- Unit 8 Analytic Geometry
- Unit 9 Sequences and Series
- Unit 10 Limits