Students understand and use periodic functions and trigonometric relationships. 1.1 use similarity, right triangles, the Law of Sines, and the Law of Cosines to determine measurements of objects which are difficult to measure directly 2. Students use vectors to represent and answer questions about quantities. 2.1 draw a system of vectors and find the resultant graphically 2.2 identify, create, and solve practical problems using a system of vectors and their horizontal and vertical components Functions 1. Students investigate, identify the characteristics of, and graph polynomial and rational functions.
Students perform operations on functions and determine the domain and range of the results.
2.1 determine the composition of two or more functions and the composition of a function with itself and determine the domain and range of the resultant function 2.2 determine the inverse of a function given as an equation, a graph, or a set of ordered pairs, determine its domain and range and discuss the relationships among these representations 3. Students analyze and explain the reasons behind the effect changing coefficients, exponents, and other parameters has on functions and their graphs. Students investigate periodic behavior, identify the characteristics of, and graph trigonometric functions. Students use graphs to investigate and describe continuity of functions. 5.1 graph and analyze step and piecewise defined functions 5.2 define and apply the properties of limits of functions including infinite sequences, series, and areas under curves Statistics, Data Analysis, and Probability 1.