Extending their knowledge of linear, exponential, and quadratic functions to polynomial, rational, and radical functions, students in Algebra 2 model situations and solve equations, discovering how the rules they learned in arithmetic continue to apply as they work with polynomials. Students focus on the properties and factors of polynomials, learning to find the zeros of a polynomial and graph it as a function. Students use complex numbers to solve quadratic equations and exponential expressions, and learn how to rewrite rational expressions in different forms and solve simple rational and radical equations. The trigonometric concepts students learned previously are expanded as they focus on the unit circle and apply these concepts to models of periodic phenomena. Students then extend their knowledge of function families to model functions defined as square roots or cube roots, as well as piecewise-defined functions. A detailed look at exponential and logarithmic functions is applied to showing intercepts and end behavior. Students collect data through sample surveys, experiments, and simulations, and learn about the role of randomness in this process. Quantitative reasoning is emphasized as students compare the differences between sample surveys, experiments, and observations, and explain how randomization relates to each one
Wellness Plan [Mastery Project]
HOW CAN MATH HELP YOU UNDERSTAND THE INTRICACIES OF HEALTH?
According the CDC and the US Department of Agriculture (USDA), 92% of US population has a vitamin deficiency1. In response to this statistic, the USDA is starting an educational campaign to educate teens about healthy lifestyles. In order to apply to be a teen ambassador for this program, you will analyze your eating habits and see how your eating compares to national RDIs. Based on your analysis, you will create a personalized wellness plan that focuses on improving one meal of the day, and increasing one type of physical activity in your day. Your analysis should serve as a case study to inform yourself and your peers of healthy lifestyles. Your final project should take the form of a report.
Acceleration Study [Mastery Project]
HOW DOES MATHEMATICS GUIDE OUR UNDERSTANDING OF MOVEMENT?
Each year, your local county fair holds an egg-launching contest as part of their summer games. The goal is to create a device that will launch an egg the farthest distance. This year, you have been asked to judge the contest and provide live commentary of the day’s events. In addition, you have submitted your own design for consideration and are excited to analyze the results of your own launches. To complete this project, you will be completing a podcast or video with the day’s commentary, as well as a full analysis of your own launch.
Linear equations and inequalities
Relations and functions
Characteristics of linear functions
Systems of equations and inequalities
Quadratic functions and their graphs Complex numbers
Fundamental Theorem of Algebra
Radical and rational functions
Gain an understanding of linear equations and inequalities.
Demonstrate the ability to model and solve applications with systems of equations.
Interpret and construct quadratic functions. Recognize that quadratics may have real and complex solutions.
Represent algebraic expressions in multiple ways.
Model real-world problems with rational functions.