Algebra 1
Algebra 1 Online High School Course
COURSE LENGTH:
Full Year (30 Sessions)
COURSE OVERVIEW:
Prestans Online Academy, an accredited private online high school, offers Algebra 1, a math course designed to introduce motivated students to the foundations of abstract algebraic thinking central to problem solving and developing critical thinking.
Mastering the skills and concepts of Algebra is essential to life as a 21st century citizen. You may not realize it yet, but Algebra is foundational to any future exploration of math, the physical and social sciences, and business. It is very helpful in a multitude of daily scenarios. Most importantly, Algebra enhances your powers of creativity, logic, and observation all of which are habits of mind paramount to living a fulfilled and empowered life as a modern citizen.
This course builds on prior knowledge of concrete mathematical concepts to develop abstract algebraic understandings. Students will be introduced to new topics as tools for problem solving and develop critical thinking skills that will serve as a foundation for future math courses. Topics studied include: linear equations, linear inequalities, graphing systems of linear equations, powers, factoring, radicals, quadratic equations, rational expressions and exponential growth and decay.
GUIDING QUESTIONS:
What are the interconnected relationships between graphs, tables, and equations? Why are these correlations important?
How might we express mathematical information in a variety of different ways?
How can we represent, interpret, and analyze data in the most effective and useful way?
What are the critical real-world applications and implications of algebra?
How do people use Algebra in their daily lives?
Can you think of any ways Algebra essential to modern societies?
How can we translate the habits of mind that we learn from Algebra to other areas of our lives?
LEARNING OBJECTIVES:
Achieve mastery in performing operations on polynomial expressions, from addition/subtraction to multiplication/division.
Understand the distributive property and the process of FOILing.
Write quadratic equations in various forms and based on various information.
Understand and evaluate problems of exponential growth and decay.
Grasp and be able to utilize the coordinate plane in graphing functions, evaluating graphs of functions, and determining slope, linearity, intercepts, domain, and range.
Determine domain and range based on provided numeric values or equations.
Effectively transform a function.
Write linear equations in both standard and point-slope forms.
Understand relationships between perpendicular and parallel lines, and corresponding relationships between their linear equations.
Solve and graph inequalities, whether one variable, two, or multi-step.