Unit: TRIGONOMETRIC FUNCTIONS Suggested Order: 7 of 8 Suggested Time: 10 days on semester schedule (90-minute classes) Rationale: This unit should immediately follow the Reasoning with Geometry unit. understanding of radians and the idea of Students’ circular motion are connections that can help students better understand trigonometric functions. Overarching Standards - NC.M3.A-SSE.1b, NC.M3.A-SSE.2, NC.M3.A-REI.1, NC.M3.F-BF.1b Major Work Standards Learning Intentions Success Criteria NC.M3.F-IF.1 A. Understand that triangular A1. I can define a radian measure of an angle as the length of the arc on NC.M3.F-IF.4 trigonometric functions are related the unit circle subtended by the angle. NC.M3.F-IF.7 to circular trigonometric functions A2. I can explain how a ratio represents a value of a trig function for an NC.M3.F-IF.9 in the coordinate plane. angle. A3. I can use key features to construct the graph of sine and cosine functions and interpret in context. A4. I can state the amplitude, period, and midline of sine and cosine functions. A5. I can use technology, graphs, and tables to compare sine graphs. NC.M3.F-BF.3 B. Understand and interpret the B1. I can describe the effect of a transformation on the graph of a sine NC.M3.F-TF.1 key features, uses and limitations function. NC.M3.F-TF.2 of multiple representations of B2. I can explain that the radius of a circle is the ratio of the length of a NC.M3.F-TF.5 trigonometric functions that model subtended arc and its corresponding central angle. real world periodic behavior. B3. I can use technology to interpret the key features of sine graphs in a real world situation. B4. I can work with angles in standard position to find coterminal and reference angles. Vocabulary: Initial side of an angle, terminal side of an angle, ray, coterminal angles, sine, cosine, tangent, radian (angle measure), unit circle, domain, range, period, midline, amplitude, frequency, cycle, phase shift.
Unit: TRIGONOMETRIC FUNCTIONS Suggested Order: 7 of 8 Suggested Time: 10 days on semester schedule (90-minute classes) Rationale: This unit should immediately follow the Reasoning with Geometry unit. Students’ understanding of radians and the idea of circular motion are connections that can help students better understand trigonometric functions. Overarching Standards - NC.M3.A-SSE.1b, NC.M3.A-SSE.2, NC.M3.A-REI.1, NC.M3.F-BF.1b Major Work Standards Learning Intentions Success Criteria NC.M3.F-IF.1 NC.M3.F-IF.4 NC.M3.F-IF.7 NC.M3.F-IF.9 A. Understand that triangular trigonometric functions are related to circular trigonometric functions in the coordinate plane. A1. I can define a radian measure of an angle as the length of the arc on the unit circle subtended by the angle. A2. I can explain how a ratio represents a value of a trig function for an angle. A3. I can use key features to construct the graph of sine and cosine functions and interpret in context. A4. I can state the amplitude, period, and midline of sine and cosine functions. A5. I can use technology, graphs, and tables to compare sine graphs. NC.M3.F-BF.3 NC.M3.F-TF.1 NC.M3.F-TF.2 NC.M3.F-TF.5 B. Understand and interpret the key features, uses and limitations of multiple representations of trigonometric functions that model real world periodic behavior. B1. I can describe the effect of a transformation on the graph of a sine function. B2. I can explain that the radius of a circle is the ratio of the length of a subtended arc and its corresponding central angle. B3. I can use technology to interpret the key features of sine graphs in a real world situation. B4. I can work with angles in standard position to find coterminal and reference angles. Vocabulary: Initial side of an angle, terminal side of an angle, ray, coterminal angles, sine, cosine, tangent, radian (angle measure), unit circle, domain, range, period, midline, amplitude, frequency, cycle, phase shift.