**Algebra Connections**

*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:

- Represent a function with a graph, table, rule, and context and should be able to find any representation when provided one of the others (for linear and quadratic relationships).
- Collect and analyze data and make predictions based on the trend of the data.
- Symbolically manipulate expressions in order to solve problems, such as factoring, distributing, multiplying polynomials, reducing rational expressions, expanding exponential expressions, etc.
- Solve simple and complex equations and inequalities using a variety of strategies, including rewriting (such as factoring, distributing, or completing the square), undoing (such as extracting the square root or subtracting a term from both sides of an equation), and looking inside (such as determining the possible values of the argument of an absolute value expression).
- Solve contextual word problems using multiple strategies, including making tables, looking for patterns, drawing diagrams, and creating “Guess and Check” tables to assist with writing and solving a variable equation.
- Analyze the slope of a line multiple ways, including graphically, numerically, contextually (as a rate of change), and algebraically.
- Solve a system of two linear or non-linear equations and inequalities with two variables using a variety of strategies, both graphically and algebraically. Read More...

**COURSE STRUCTURE**

Chapters are divided into sections that are organized around core topics. Within each section, lessons include activities, challenging problems, investigations, and practice problems. Teacher notes for each lesson include a “suggested lesson activity” section with ideas for lesson **introduction**, specific tips and strategies for lesson **implementation** to clearly convey core ideas, and a means for bringing the lesson to **closure**. Read More...