Algebra 2 Honors

In this unit, students will analyze bivariate data and explore how relationships between two quantities can often be modeled using linear, quadratic, or exponential functions. Students will learn that while mathematical functions rarely fit real-world contexts perfectly, function models can still be useful tools for interpreting patterns, making predictions, and better understanding the relationship between variables. Students will also examine average rate of change as a way to describe and compare how quantities change over intervals, using linear models to make sense of complex real-world relationships.

In this unit, students will explore how functions can be combined, transformed, and reversed to model contextual scenarios more effectively. Students will learn that composing functions allows simpler functions to be combined in order to create models that better capture the characteristics of a situation. They will also examine transformations as a special type of composition, recognizing how adding to or multiplying a function changes its graph and behavior in predictable ways. Students will also develop an understanding of inverse functions as a way to determine the input value that corresponds to a given output value.

In this unit, students will explore functions as mathematical relationships between two variables that can be used to identify and make sense of patterns in real-world scenarios. Students will examine how functions can represent observable relationships and support reasoning about how one quantity changes in relation to another. They will also investigate families of functions, recognizing that functions within the same family share similar properties, algebraic representations, and key features in their graphs.

In this unit, students will explore trigonometry as a connection between the study of circles and right triangles. Students will examine how trigonometric relationships can be used to describe angles, side lengths, and circular patterns. They will also apply trigonometric functions to model real-world situations involving periodic behavior or circular motion, such as waves, rotations, and repeating patterns.