Students find derivatives numerically, represent derivatives graphically, and interpret the meaning of a derivative in real-world applications. Models of previously studied functions will be analyzed using calculus concepts. The topics developed include the relationship between the derivative and the definite integral. The understanding, properties, and applications of the definite integral are included as students learn to explain solutions to problems. Students will model real-world situations involving rates of change using difference or differential equations.
Consumer education is combined with the mathematics necessary for making wise consumer decisions.
Topics include income, budgeting, purchasing, banking, credit, and investments. Spreadsheets are studied and used in consumer and business applications. Emphasis is placed on the mathematics involved in various careers. The mathematical aspects of taxation, transportation and travel, housing, insurance, and the operation of a small business are studied to illustrate business applications. Much of the material is presented in the context of problem solving situations, and the use of technology is integrated.