Algebra 1 Compared to Algebra 2
Most American high school students take both Algebra 1 and Algebra 2. Algebra 1 introduces concepts such as solving two-step equations, factoring systems of equations and using matrices to solve problems. Algebra 2 builds on these concepts, introducing students to quadratic equations, logarithmic calculations and applications of matrices. Although many high school students struggle with algebra, mastering both Algebra 1 and Algebra 2 is useful for a variety of future careers.
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What Algebra is
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Many people think of algebra as the branch of mathematics in which you have to figure out the value of variables. While this process is certainly part of algebra, the study of algebra is actually the study of relationships between elements that change over time, such as demand for a product and its price.
Algebra Courses in American Schools
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Most American students begin their study of algebra with an introductory unit in their middle school or junior high math courses. In this unit, they are usually exposed to very basic algebraic equations, such as X + 3 = 8, and taught how to solve these equations for X.
In high school, students take Algebra 1, which is usually required for graduation. After mastering the concepts in Algebra 1, students may go on to take Algebra 2, which introduces them to more advanced concepts such as quadratic equations.
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Concepts Taught in Algebra 1
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In Algebra 1, students are exposed to a wide variety of concepts. In addition to getting additional practice in solving simple equations, students learn how to solve two-step equations. They also study equations and inequalities containing two variables, learn to calculate geometric values, such as the slope of a line, and are exposed to the existence of matrices as a tool for solving two-variable equations.
Concepts Taught in Algebra 2
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Algebra 2 builds upon the foundation given to students in Algebra 1. In this course, students work more extensively with matrices to solve equations. They also learn how to identify and solve quadratic equations and inequalities, and they work with exponential and logarithmic functions for the first time.
Usefulness of Algebra 1 and Algebra 2
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Algebra is required for a wide variety of careers. Students considering any kind of career in the health field, whether as a doctor, nurse or nurse's aide, will have to master algebra. Algebra 1 may be sufficient for nurse's aides, who observe patient behavior and report to the doctor about significant changes. Nurses and doctors need to master the more complex mathematics taught in Algebra 2 in order to understand how medications affect patients, diagnose or treat medical problems and understand the chemistry and physics involved with medicine.
Algebra 1 and 2 are also required for business careers. Economic principles and business decisions are based on understanding how variables affect one another. Business organizers and managers need solid understanding of variables, their relationships and how to calculate risk.
Finally, algebra is required for farming careers. Farmers need to be able to convert measurements and calculate where it is best to plant certain crops.
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References
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