A Lively, Opinionated Guide Advertisement Mathematics is a language we use every day, often without knowing it. It builds and draws on conceptual understanding and skills, and helps us make decisions and solve problems. In this draft document we have tried to connect the notion of problem solving to conceptual understanding and skill development by embedding it within the content strands at every grade. Given here are only some of the ways you will see this exemplified.
Students demonstrate understanding of and facility working with sequences, series, and matrices.
Students apply and explain the method of mathematical induction to prove formulas and statements. Students perform operations with vectors in the coordinate plane and solve practical problems using vectors. 2.1 add, subtract, find scalar products, dot products, and norms of vectors noting the field properties which apply 2.2 determine, interpret, and use a unit directional vector, perpendicular components, and norms to express vectors in the coordinate plane 2.3 graph and interpret complex numbers as vectors and in polar form Measurement and Geometry 1. Students understand and use periodic functions and trigonometric relationships. 1.1 use similarity, right triangles, the Law of Sines, and the Law of Cosines to determine measurements of objects which are difficult to measure directly 2.