Ohio Resource Center

MQR.4.3 Functions and Their Graphs

 This unit forms the core of the course. The mathematics includes reviewing functions that students have previously studied and using the functions and their graphs to analyze familiar but complex problem settings. Instructional Days(suggested)54 - 65 days Click on subtopics below to see resources from the Ohio Resource Center a. Linear functions describe constant rates of change, unit conversions, linear regressions, and correlation. Many applications can be illustrated (e.g., gas bills, temperature unit conversions, hourly wage, straight line depreciation, and simple interest). 15-17 b. Exponential functions model many problems from school, work and consumer settings (e.g., population growth, radioactive decay, inflation, depreciation¸ periodic drug doses, and trust fund). The concepts of “doubling time” and “half life” should be included. 10-15 c. Logarithmic functions, their graphs, and logarithmic scales describe data from familiar problem settings (e.g., real population growth, investment time, earthquakes, and noise levels). 10-11 d. Periodic functions include trigonometric functions and introduce the concept of cyclic behavior (e.g., sound waves, amount of sunlight per day over days of a year, behavior of springs). 15-17 e. Exponential and trigonometric functions can be combined by considering damped harmonic motion (e.g., motion of a bouncing ball or spring when friction is considered). 4-5