Our Algebra 1 curriculum covers the standard algebra topics as well as the last few topics of Pre-Algebra and additional topics that can be optional such as Regression and Sequences. This is to ensure that students coming into Algebra 1 have a strong foundation from Pre-Algebra and have full range of possibilities to learn as much about Algebra 1 as they wish. Our progression of lessons was designed to be as constructive as possible so that students who struggle can simply go back and target the basic principles.
This section reviews important concepts from Pre-Algebra that will be necessary for achievement in Algebra 1. Some topics include solving linear equations and inequalities, understanding real numbers, and solving algebraic word problems.
Students are introduced to the concept of a function and reinforced using graphical methods. They will learn terminology for different characteristics of a function (constant, increasing, decreasing) and other terms that are associated with functions (domain, range, etc.). They will get accustomed to function notation and evaluating functions using graphs.
Students will practice and master solving problems with lines. This includes solving for slope and intercepts, knowing different forms of line equations, being comfortable with discontinuous line graphs, and how a line graph is formed from a data table.
This section utilizes the content learned in Lines and applies them to linear systems of equations and inequalities. Students will practice solving these systems both algebraically and graphically.
Students are introduced to the concept of absolute value and begin solving basic absolute value problems. For more advanced students, there are also problems related to graphs of absolute value equations.
Students who understand linear variables will continue on to learn about variables in higher degrees. They will learn the terms that classify different polynomials, how to solve arithmetic problems with polynomials, and factoring.
Once students are familiar with graphs, they will learn how to manipulate graphs and equations by transforming them. This includes reflection, dilation, translation, and a combination of these.
Students who are comfortable with linear functions will move on to learning about quadratic functions. They will learn what a solution to a quadratic function means, how to find the solutions using various methods, and how to write a quadratic function in vertex and standard form. Graphing quadratic functions is also included in this section.
Students will be introduced to the concept of exponents and learn their various properties in different arithmetic situations. They will apply this knowledge to solving equations with exponents and learn about scientific notation.
Root and Radicals
Students will learn about and practice problems on radicals. This section will cover the definition of radicals, how to simplify them, and how to solve equations with radicals. For advanced students, there is a topic on how to graph radical functions.
Our additional topics include Sequences and Statistics, which are not conventionally part of the standardized Algebra 1 curriculum but are taught in many classrooms. Sequences is a more advanced topic that requires proficiency in basic topics in order to master. Statistics, on the other hand, is not as related to the other topics and can be covered separately. This category covers different statistical measures, gathering and interpreting data in tables, and analyzing graphs.