Math 2 is a problem-solving course where the ultimate goal is for students to gain confidence in their ability to make sense of a problem, and once a problem is understood, to apply mathematical knowledge and tools strategically during the problem-solving process, and to persist in solving the problem. At this level, the course provides students with a rigorous, integrated, and in-depth study of algebra processes and geometric principles. Topically, there is a major emphasis on quadratic functions: factoring, graphing, moving between forms, the inverse (the square root function), using quadratics to model scenarios, and using quadratics for the purpose of optimization. Absolute value functions and new forms of linear functions are also explored. In addition to investigating exponent rules, algebraic fractions, and imaginary numbers, students are asked to connect their understanding of algebra to topics in geometry, such as linking equations of quadratics to the geometric definition of a parabola and solving polygon problems on the Cartesian coordinate plane. Other classic types of algebra problems include advanced distance-rate-time questions, shared work, mixture problems, and systems of equations. This class will also cover topics in Euclidean Geometry including polygons (with an emphasis on triangles), their properties and proofs, parallel lines and angle relationships, and circles. We use a variety of materials, including iPad technology, graphing software like Desmos, and problems from “Math 1” and “Math 2” written by the math department at Phillips Exeter Academy to use pattern-building in the service of eventually developing mathematical generalizations. In this course, the math topics are valuable, but equal importance is given to the style in which students take on responsibility for thinking critically, creatively, and collaboratively. This course may serve as a transition into Algebra 2 and Trigonometry or, for those who excel and find the curriculum rewarding, it can also serve as an entry point to our Honors Problem Based Learning strand. Prerequisite: an Algebra 1 course, Math 1, or the equivalent and consent of the department.
