Making Connections: Foundations for Algebra, Course 2 is the second of a two-year sequence of courses designed to prepare students for a rigorous college preparatory algebra course. It uses a problem-based approach with concrete models. The course helps students to develop multiple strategies to solve problems and to recognize the connections between concepts. The lessons in the course embed the “Mathematical Practices” of the Common Core State Standards released in June 2010.
Upon completion of this course, students should be able to:
Algebra Connections is the first course in a five-year sequence of college preparatory mathematics courses that delivers traditionally rigorous algebraic content using a problem-based approach. It has strong threads woven throughout the course on multiple representations and the meaning of a solution. A major focus of the course is to develop multiple strategies to solve problems and to recognize multiple ways of understanding concepts.
Upon completing this course, students should be able to:
The course is structured around problems and investigations that build the conceptual understanding of these algebraic topics and an awareness of connections between the different ideas. Students are encouraged to investigate, communicate their thinking, and generalize.
Lessons are structured for students to collaborate actively by working in study teams. During class time, students work in study teams on challenging problems that introduce new material. In several circumstances, an investigation or challenge will be presented with a Task Statement and Further Guidance structure. These activities are designed to provide teachers with the freedom of deciding how structured or open to leave a mathematical challenge.
The homework in the "Review & Preview" section of each lesson reinforces previously-learned skills and concepts and prepares students for new ones. The homework problems also allow students to apply previously-learned concepts and skills in new contexts and deepen their understanding by solving the same type of problem in different ways.