The set of rational numbers and its subsets are studied, including natural number subsets of primes, composites, factors, and multiples. Special types of numbers related to primes and composites, as well as theorems involving primes and composites, are included. Operations with rational numbers include basic operations, absolute value, and laws of exponents. Number Relationships Students represent and use numbers in a variety of equivalent forms including fraction, decimal, percent, exponential, and scientific notation. Analysis and calculations involving ratio and proportion are used in a variety of applied situations such as dimensional analysis.
Students represent various number relationships in tables as well as one or two-dimensional graphs.
Operational Systems Mathematical structure is introduced through the study of basic number properties. Students compare and contrast various combinations of finite and infinite systems by examining properties of groups and Abelian groups. Concurrently, students operate within the real number system, studying rational and irrational numbers in exponential and radical form, as well as within finite mathematical systems. The Language of Algebra Students use algebraic notation to create models that describe relationships and patterns. Emphasis is placed on translating verbal expressions and sentences into symbolic notation for problem solving situations.