TEKS: Chapter 111. Mathematics See All Teacher Resources

111.42.c.4

(4) Number and measure. The student uses process standards in mathematics to apply appropriate techniques, tools, and formulas to calculate measures in mathematical and real-world problems. The student is expected to:

  • (A) determine the relationship between the unit circle and the definition of a periodic function to evaluate trigonometric functions in mathematical and real-world problems;
  • (B) describe the relationship between degree and radian measure on the unit circle;
  • (C) represent angles in radians or degrees based on the concept of rotation and find the measure of reference angles and angles in standard position;
  • (D) represent angles in radians or degrees based on the concept of rotation in mathematical and real-world problems, including linear and angular velocity;
  • (E) determine the value of trigonometric ratios of angles and solve problems involving trigonometric ratios in mathematical and real-world problems;
  • (F) use trigonometry in mathematical and real-world problems, including directional bearing;
  • (G) use the Law of Sines in mathematical and real-world problems;
  • (H) use the Law of Cosines in mathematical and real-world problems;
  • (I) use vectors to model situations involving magnitude and direction;
  • (J) represent the addition of vectors and the multiplication of a vector by a scalar geometrically and symbolically; and
  • (K) apply vector addition and multiplication of a vector by a scalar in mathematical and real-world problems.