• ## Algebra II P

The fundamental purpose of the Algebra II course is to extend students' understanding of functions and the real numbers, and to increase the tools students have for modeling the real world. Building on their work with linear, quadratic, and exponential functions, students extend their repertoire of functions to include logarithmic, polynomial, rational, and radical functions. This course uses the Big Ideas Math Algebra 2 textbook. Each lesson begins with an essential question and is followed by explorations. Students work closely with the expressions that define the functions, competently manipulate algebraic expressions, and continue to expand and hone their abilities to model situations and to solve equations, including solving quadratic equations over the set of complex numbers and solving exponential equations using the properties of logarithms. Standards that were limited in Algebra I no longer have those restrictions in Algebra II.

In Algebra II, instructional time should focus on four critical areas: (1) relate manipulations of rational expressions to manipulations of rational numbers; (2) expand understandings of functions and graphing to include trigonometric functions - extended to all real numbers, and their graphs and properties are studied; (3) synthesize and generalize functions and extend understanding of exponential functions and their inverses to logarithmic functions; and (4) relate data display and summary statistics to probability and explore a variety of data collection methods. Students' statistics knowledge is extended to understanding the normal distribution, and they are challenged to make inferences based on sampling, experiments, and observational studies.

Students will develop a strong grasp of the Mathematical Practices:
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.

The Standards for Mathematical Practice complement the content standards so that students increasingly engage with the subject matter as they grow in mathematical maturity and expertise throughout the high school years.

## Units of Study

### Semester 1

Unit 1: Introduction to Functions and Transformations
Unit 3: Polynominal Functions