## Algebra

Welcome to Algebra! On this page you will find helpful resources along with the class information.

SpringBoard provides a comprehensive and systematic approach to preparing ALL students for the demands of rigorous AP courses, college classes, and other post-secondary experiences. SpringBoard prepares students through sequential, scaffolded development of the prerequisite skills and knowledge needed for success in AP Calculus and Statistics. Through ongoing exposure to rigorous mathematics content and experience with the thinking processes needed to analyze, solve, and explain complex math problems, students exit SpringBoard equipped with the kind of higher order thinking skills, knowledge, and behaviors necessary to be successful in AP classes and beyond. Algebra 1 students:

__Course Description:__SpringBoard provides a comprehensive and systematic approach to preparing ALL students for the demands of rigorous AP courses, college classes, and other post-secondary experiences. SpringBoard prepares students through sequential, scaffolded development of the prerequisite skills and knowledge needed for success in AP Calculus and Statistics. Through ongoing exposure to rigorous mathematics content and experience with the thinking processes needed to analyze, solve, and explain complex math problems, students exit SpringBoard equipped with the kind of higher order thinking skills, knowledge, and behaviors necessary to be successful in AP classes and beyond. Algebra 1 students:

- Gain an understanding of the properties of real numbers.
- Formalize the language of functions.
- Explore the behavior of functions, numerically, graphically, analytically and verbally.
- Use technology to discover relationships, test conjectures and solve problems.
- Write expressions, equations and inequalities from physical models.
- Communicate mathematics understanding formally and informally.

**Essential Questions**

The following are the essential questions for each unit that the students will be able to answer by the end:

__Unit 1 - Patterns and Equations__1) How are patterns, equations, and graphs related?

2) Why are the properties of real numbers important when solving equations?

__Unit 2 - Linear Functions__1) How can you show mathematical relationships?

2) Why are linear functions useful in real-world settings?

__Unit 3 - Extensions of Linear Concepts__1) Why would you use multiple representations of linear equations and inequalities?

2) How are systems of linear equations and inequalities useful in interpreting real world situations?

__Unit 4 - Exponents, Radicals and Polynomials__1) How do multiplicative patters model the physical world?

2) How are adding and multiplying polynomial expressions different from each other?

__Unit 5 - Quadratic Functions__1) How are quadratic functions used to model, analyze and interpret mathematical relationships?

2) Why is it advantageous to know a variety of ways to solve and graph quadratic functions?

__Unit 6 - Data Analysis and Surveys__1) How do sampling methods affect the evaluation of survey results?

2) How can displays and summaries be used to interpret and communicate the results of surveys?