High School Courses

High School Curriculum – Algebra   Expressions. An expression is a record of a computation with numbers, symbols that represent numbers, arithmetic operations, exponentiation, and, at more advanced levels, the operation of evaluating a function. Conventions about the use of parentheses and the order of operations assure that each expression is unambiguous. Creating an expression that describes a […]

High School Curriculum – Functions   Functions describe situations where one quantity determines another. For example, the return on $10,000 invested at an annualized percentage rate of 4.25% is a function of the length of time the money is invested. Because we continually make theories about dependencies between quantities in nature and society, functions are important tools […]

High School Curriculum – Modeling   Modeling links classroom mathematics and statistics to everyday life, work, and decision-making. Modeling is the process of choosing and using appropriate mathematics and statistics to analyze empirical situations, to understand them better, and to improve decisions. Quantities and their relationships in physical, economic, public policy, social, and everyday situations can be […]

High School Curriculum – Geometry   An understanding of the attributes and relationships of geometric objects can be applied in diverse contexts—interpreting a schematic drawing, estimating the amount of wood needed to frame a sloping roof, rendering computer graphics, or designing a sewing pattern for the most efficient use of material. Although there are many types of […]

High School Curriculum – Statistics and Probability (★)   Decisions or predictions are often based on data—numbers in context. These decisions or predictions would be easy if the data always sent a clear message, but the message is often obscured by variability. Statistics provides tools for describing variability in data and for making informed decisions that take […]

High School Curriculum – Number and Quantity Numbers and Number Systems. During the years from kindergarten to eighth grade Mathematics, students must repeatedly extend their conception of number. At first, “number” means “counting number”: 1, 2, 3… Soon after that, 0 is used to represent “none” and the whole numbers are formed by the counting numbers together […]

Introduction to High School Standards   The high school standards specify the mathematics that all students should study to be college and career ready. Additional mathematics that students should learn to take advanced courses such as calculus, advanced statistics, or discrete mathematics is indicated by (+), as in this example: (+) Represent complex numbers on the complex plane in rectangular and polar […]