Algebra I

Algebra provides a powerful method for describing interdependence and change – two ideas that are essential to understanding mathematics, often called the language of science. In the three years prior to Algebra I, students have already begun their study of algebraic concepts. They have investigated variables and expressions, solved equations, constructed and analyzed tables, used equations and graphs to describe relationships between quantities, and studied linear equations and systems of linear equations. The Charles A. Dana Center and Agile Mind have intentionally designed this Algebra I course to begin with connections back to that earlier work, efficiently reviewing algebraic concepts that students have already studied while at the same time moving students forward into the new ideas described in the high school standards.

Specifically, students formalize the concept of a function and extend their earlier middle school work with linear functions and equations. They review and apply the univariate data representations they have studied previously and then explore statistical models for bivariate categorical and quantitative data. Students build on their understanding of integer exponents as they explore exponential functions and equations. They model situations with quadratic functions and formulate and solve quadratic equations. Finally, throughout the course, students continue to use basic algebraic tools to represent problem situations and solve important classical problems.

Throughout this Louisiana Algebra I course, students continue to develop proficiency with the eight Standards for Mathematical Practice described in the Louisiana Student Standards for Mathematics. These practices should become the natural way in which students come to understand, experience, and do mathematics. Mathematical reasoning, effective communication, making connections, and problem-solving are key components of this program.

Students need to have a sound understanding of functions and the multiple representations that they gain from a strong Algebra course. And Algebra is an essential foundation for higher mathematics. But Algebra is also now accepted by most people as a foundation, not just for Advanced Algebra, Geometry, Trigonometry, Discrete Mathematics, Precalculus, Calculus, and Statistics, but for the knowledge required for participation in our democracy and for a successful economic life.

- Agile MInd Curriculum