### Secondary Mathematics II 7080000100 UT

Secondary Mathematics II is a full year high school mathematics course intended for the student who has successfully completed Secondary Mathematics II. This course is designed to prepare students for college-level and real-world mathematical reasoning. The concepts covered in this course integrate the topics of Advanced Algebra, Geometry, Trigonometry, and Statistics. Throughout the course, students will explore higher order strategies necessary for analyzing multi-level linear, quadratic and polynomial functions and equations, investigate geometric proofs involving similarity and congruence in triangles and quadrilaterals as well as special angle relationships formed by parallel lines and transversals. Students are exposed to several branches of mathematics and will explore ways in which each one can be used as a mathematical model in understanding the world.

The course seeks to help students expand their knowledge and skills so that they may achieve the following goals:

• Gain an increased awareness of math as a life skill.

• Understand how math is like a language, with a set of conventions.

• Realize that while mathematical models are useful in studying the world, they have limits

In attaining these goals, students will begin to see the "big picture" of mathematics and understand how numeric, algebraic, and geometric concepts are woven together to build a foundation for higher mathematical thinking.

Upon successfully completing the course, the student should have mastered the following concepts:

• Perform basic and complex operations on polynomial expressions.

• Use the laws of exponents to simplify radical expressions.

• Evaluate, graph and solve quadratic equations.

• Prove and apply geometric theorems of triangle similarity.

• Apply fundamentals of solving triangles using right triangle trigonometry and special right triangles.

• Properties of circles including circumference, area, arc length, and sector area as well as special relationships and theorems involving the central angles, inscribed angles, line segments and chords in a circle.

• Explore probability, including permutations and combinations.

• Calculate the probabilities of independent or compound events.

• Determine the volume of solid figures, including cylinders, cones, pyramids, and spheres.

State: Utah