the domain and range of 13. Will cosine graphs continue infinitely in either direction? How do you know? Identify the domain and range of Exploring Sine and Cosine Graphs This task and the preceding one, the Unit “UnWrapping Circle,” accomplish similar purposes. This task, Exploring Sine and Cosine Graphs is less interactive. Mathematical Goals Graph the sine and cosine functions Determine the characteristics of the sine and cosine function Define amplitude, midline, period Georgia Standards of Excellence MGSE9‐12.F.IF.7 Graph functions expressed algebraically and show key features of the graph both by hand and by using technology. MGSE9‐12.F.IF.7e Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude. Standards for Mathematical Practice Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Introduction This task is designed to give students a chance to explore and make conjectures about the nature of the sine and cosine graphs. They are looking specifically for the following features: amplitude, period, frequency, horizontal shifts, and vertical shifts. They will continue to analyze graph features like x-and y-intercepts, domain and range, and maximum and minimum values.
the domain and range of 13. Will cosine graphs continue infinitely in either direction? How do you know? Identify the domain and range of Exploring Sine and Cosine Graphs This task and the preceding one, “UnWrapping the Unit Circle,” accomplish similar purposes. This task, Exploring Sine and Cosine Graphs is less interactive. Mathematical Goals Graph the sine and cosine functions Determine the characteristics of the sine and cosine function Define amplitude, midline, period Georgia Standards of Excellence MGSE9‐12.F.IF.7 Graph functions expressed algebraically and show key features of the graph both by hand and by using technology. MGSE9‐12.F.IF.7e Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude. Standards for Mathematical Practice Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Introduction This task is designed to give students a chance to explore and make conjectures about the nature of the sine and cosine graphs. They are looking specifically for the following features: amplitude, period, frequency, horizontal shifts, and vertical shifts. They will continue to analyze graph features like x-and y-intercepts, domain and range, and maximum and minimum values.
Pre-Calculus-Unit-1.docx