Introductions to Functions
This unit bundles student expectations that address the exploration of data and their representations and relationships. The exploration of functions through data collection and analysis is a foundation for algebraic reasoning and is introduced at the beginning of Algebra 2
Linear Function, Equations and Inequalities
This unit bundles student expectations that investigate and explore the characteristics and applications of linear functions, equations, and inequalities. In addition, the linear parent function is introduced and effects of parameter changes on the graph of the parent function are explored.
Systems of Linear Equations
This unit bundles student expectations that address formulating linear systems for a problem situation, solving the system, and justifying the reasonableness of the solution in terms of the problem. Graphing technology is incorporated to explore multiple representations of the relationships within systems of equations.
Polynomials
The student expectations bundled in this unit involve generating and applying the rules of exponents, simplifying polynomials, and operations with polynomial expressions. Students also investigate the connections between multiplication of polynomials and factoring polynomials.
Quadratic Functions, Equations and Inequalities
This unit bundles student expectations that investigate and explore the characteristics and applications of quadratic functions, equations, and inequalities. In addition, the quadratic parent function is introduced and effects of parameter changes on the graph of the parent function are explored.
Square Root Functions, Equations, and Inequalities
This unit bundles student expectations that investigate and explore the characteristics and applications of square root functions, equations, and inequalities. In this unit, the square root parent function is introduced, and effects of parameter changes on the graph of the parent function are explored. In addition, the inverse relationship between square root functions and quadratic functions is investigated.
Rational Functions, Equations and Inequalities
The student expectations bundled in this unit investigate and explore the representation and characteristics of rational functions, including parameter changes, discontinuity, asymptotic behavior, and end behavior. Operations with rational expressions and connections of inverse variation to rational functions are also addressed. Problem situations are modeled and solved using rational functions, equations, and inequalities
Exponential Functions, Equations and Inequalities
This unit bundles student expectations that investigate and explore the characteristics of exponential functions, including limitations on domain and range, asymptotes, end behavior, effects of parameter changes on the parent function, and various representations. Exponential functions, equations, and inequalities are applied to represent and solve problem situations. Exploring laws of exponents by recognizing the multiplicative patterns and applying properties of exponents to simplify expressions are also addressed
Logarithmic Functions, Equations and Inequalities
This unit bundles student expectations that address logarithmic functions as the inverses of exponential functions. Various representations are used to analyze logarithmic functions and their characteristics, including parameter changes, domain restrictions, asymptotes, and end behavior. Properties of logarithms are used to solve logarithmic and exponential equations, and exponential and logarithmic functions are used to model and solve problem situations and make predictions and draw conclusions in terms of the problem.
Combined Systems - Linear and Non Linear
This unit bundles student expectations that address the application of systems of equations and inequalities to solve problem situations. This unit includes systems of equations involving linear, quadratic, rational, and other nonlinear functions. Focus is given to problem situations involving geometric figures, such as rectangles, circles, right triangles, prisms, and cylinders.
Conic Sections
This unit bundles student expectations that address conic sections including conic sections as the intersection of cones and a plane, representations and characteristics defining each conic section, and completing the square to convert between general and standard (working) form of the equations of conic sections. This unit also further addresses applications of conic sections in a given scenario and systems involving conic sections.
