Secondary Math 2 focuses on creating and solving equations, including linear, exponential, and quadratic types, and rewriting expressions to reveal key information. This course builds upon the foundational algebra skills learned in previous math courses and prepares students for more advanced mathematical concepts.
Secondary Math II delves into the following areas:
-
Creating and Solving Equations: Students learn to create and solve various types of equations, with a particular emphasis on quadratic relationships. This includes understanding the properties of equality and using algebraic manipulation to isolate variables.
-
Linear Equations: Reviewing and extending understanding of linear equations, their graphs, and applications to real-world problems. This might include slope-intercept form, point-slope form, and standard form.
-
Exponential Equations: Introducing exponential functions, their graphs, and applications in areas like growth and decay. Students learn to solve exponential equations using logarithms (if covered) and other techniques.
-
Quadratic Equations: A central theme of Secondary Math II is the study of quadratic equations. Students learn various methods for solving these equations, including:
- Factoring
- Completing the square
- Using the quadratic formula
They also learn to graph quadratic functions and analyze their properties, such as vertex, axis of symmetry, and intercepts.
-
Rewriting and Revealing Aspects of Expressions: Students develop skills in manipulating algebraic expressions to reveal underlying structure and relationships. This includes factoring, expanding, simplifying, and using identities. Specific areas include:
- Understanding the structure of expressions (SSE.1)
- Using the structure of an expression to identify ways to rewrite it (SSE.2)
- Choosing and producing an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression (SSE.3)
-
Inequalities and Systems of Equations: The course extends the concepts of solving equations to solving inequalities and systems of equations. This includes linear inequalities, quadratic inequalities, and systems of linear and non-linear equations.
-
Applications: Students apply the mathematical concepts learned in the course to solve real-world problems in areas such as physics, engineering, and economics.
In summary, Secondary Math 2 is a crucial course that strengthens algebraic skills, focuses on quadratic relationships, and provides a foundation for future mathematical studies.
