This course introduces the concept of quadratic function, which is developed into the four major representations and their applications in problem solving. It includes the concepts and applications of probability introduced in previous mathematics courses. This course emphasizes abstraction and critical thinking in mathematics. Fundamental skills of mathematics will be applied to topics such as functions, equations and inequalities, probability and statistics, logarithmic and exponential relationships, quadratic and polynomial equations, and matrices. This course meets the Minnesota K-12 Academic Standards in Mathematics.
It is the goal that at the end of this course students will:
• Develop and practice skills called for by problem solving.
• Work with real numbers and the interactions required with basic operations.
• Master the essential concepts of algebra as it is used to generalize problem-solving
situations.
• Gain an appreciation and understanding of historical mathematics roots.
Topics to be covered:
1. Exponents, Equations, and Inequalities
2. Functions, Equations, and Graphs
3. Linear Systems
4. Quadratic Functions and Equations
5. Polynomials and Polynomial Functions
6. Radical Functions and Rational Exponents
7. Exponential and Logarithmic Functions
8. Rational Functions
9. Sequences and Series
10.Quadratic Relations and Conic Sections
11.Probability and STatistics
12.Matrices
13.Trigonometry Concepts
