Week 1 (1/ 4-6) Week 2 (1/9-13) Week 3 (1/16-20) 2016-2017 Grade 12 3 rd Nine Weeks Pacing Guide Review content prerequisites. 26. [F-TF.10] Determine the amplitude, period, phase shift, domain, and range of trigonometric functions and their inverses. (Alabama) 29. [F-TF.3] (+) Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4, and π/6, and use the unit circle to express the values of sine, cosines, and tangent for x, π + x, and 2π - x in terms of their values for x, where x is any real number. 30. [F-TF.4] (+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions. 31. [F-TF.6] (+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed. 26. [F-TF.10] Determine the amplitude, period, phase shift, domain, and range of trigonometric functions and their inverses. (Alabama) MDC Round 4 Visits Begin MDC PD January 12 th January 16, 2017 Schools Closed (MLK Day)
Week 3 cont. Week 4 (1/23-27) Week 5 (1/30-2/3) Week 6 (2/6-10) 31. [F-TF.6] (+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed. 32. [F-TF.7] (+) Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.* 31. [F-TF.6] (+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed. 33. [F-TF.8] Prove the Pythagorean identity sin2(θ) + cos2(θ) = 1, and use it to find sin(θ), cos(θ), or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle. (Alabama) 27. [F-TF.11] Use the sum, difference, and half-angle identities to find the exact value of a trigonometric function. (Alabama) 30. [F-TF.4] (+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions. 34. [F-TF.9] (+) Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems. Progress Reports Go Home (2/9)
Week 7 (2/13-17) Week 8 (2/20-24) 32. [F-TF.7] (+) Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.* 5. [N-VM.1] (+) Recognize vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes (e.g., v, v, v, v). 6. [N-VM.2] (+) Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point. 7. [N-VM.3] (+) Solve problems involving velocity and other quantities that can be represented by vectors. 8. [N-VM.4] (+) Add and subtract vectors. ~(+) Add vectors end-to-end, component-wise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes. ~(+) Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum. ~(+) Understand vector subtraction v - w as v + (-w), where -w is the additive inverse of w, with the same magnitude as w and pointing in the opposite direction. Represent vector subtraction graphically by connecting the tips in the appropriate order, and perform vector subtraction February 17, 2017 District PD E-Learning Day MDC Round 5 Visits Begin MDC PD February 16, 2017 February 20, 2017 Schools Closed (Presidents Day)
Week 8 cont. Week 9 (2/27-3/3) component-wise. 9. [N-VM.5] (+) Multiply a vector by a scalar. ~(+) Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as c(vx, vy) = (cvx, cvy). ~(+) Compute the magnitude of a scalar multiple cv using cv = c v. Compute the direction of cv knowing that when c v 0, the direction of cv is either along v (for c > 0) or against v (for c < 0). 32. [F-TF.7] (+) Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.* 5. [N-VM.1] (+) Recognize vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes (e.g., v, v, v, v). 7. [N-VM.3] (+) Solve problems involving velocity and other quantities that can be represented by vectors. Week 9 cont. 8. [N-VM.4] (+) Add and subtract vectors. ~(+) Add vectors end-to-end,
component-wise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes. ~(+) Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum. ~(+) Understand vector subtraction v - w as v + (-w), where -w is the additive inverse of w, with the same magnitude as w and pointing in the opposite direction. Represent vector subtraction graphically by connecting the tips in the appropriate order, and perform vector subtraction component-wise. 9. [N-VM.5] (+) Multiply a vector by a scalar. ~(+) Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as c(vx, vy) = (cvx, cvy). ~(+) Compute the magnitude of a scalar multiple cv using cv = c v. Compute the direction of cv knowing that when c v 0, the direction of cv is either along v (for c > 0) or against v (for c < 0). 26. [F-TF.10] Determine the amplitude, period, phase shift, domain, and range of trigonometric functions and their inverses. (Alabama) 28. [F-TF.12] Utilize parametric equations by graphing and by converting to rectangular form. (Alabama) ~Solve application-based problems involving parametric equations. (Alabama) ~Solve applied problems that include sequences with recurrence relations. (Alabama)
Week 10 (3/6-10) 1. [N-CN.4] (+) Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number. 8. [N-VM.4] (+) Add and subtract vectors. ~(+) Add vectors end-to-end, component-wise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes. ~(+) Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum. ~(+) Understand vector subtraction v - w as v + (-w), where -w is the additive inverse of w, with the same magnitude as w and pointing in the opposite direction. Represent vector subtraction graphically by connecting the tips in the appropriate order, and perform vector subtraction component-wise. 30. [F-TF.4] (+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions. 3 rd Nine Weeks Ends March 10 th