Enhanced Math 2

Enhanced Mathematics 2 is the second of a three year integrated math sequence that will help students see the relationships between algebra, geometry and statistics. In this course students are introduced to quadratic function and learn to compare them to exponential and linear functions that were studied in Mathematics 1. Students see that quadratics can be used to represent circles and parabolas and use the distance formula and the Pythagorean Theorem from Mathematics 1 to aide in modeling them. Students will understand that writing functions and expression in different forms can reveal key features that can be used to guide the solving of problems. Students will need to explore the notion of the complex number system so that all quadratics can be solved. They will explore the relationships between all of the different number systems. Students continue work with systems of equations to  include systems of quadratic equations. Students continue to work with data and probability in this course. They will see the connection between the two by studying conditional probability. They will use probability models to make informed decisions. Students will build on prior work with dilations and proportionality to build a formal understanding of similarity. Students will use similar triangles to understand right triangle trigonometry. Students will expand their knowledge of proof in geometry to move from informal to formal. Students will learn

and understand how to construct a formal geometric proof and use the learned techniques to prove many geometric theorems. Students will establish formulas to solve problems involving circles and the volume of cylinders, pyramids and cones. Enhanced Mathematics 2 will also deepen the students understanding of core pre-calculus concepts and use trigonometry, matricies, vectors and transformations at a new level to gain new understandings of mathematical concepts necessary for Calculus.