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.
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 Algebra 1, 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.
Algebra 2 is a high school mathematics class often required for graduation. Algebra 2 expands upon the principles students learned in Algebra 1, including rules of operations and relations.
The topics studied in Algebra 2 include equations and inequalities, quadratic functions, powers and polynomials.
Students who study Algebra 2 work to solve equations using matrices. The course also sees the introduction of concepts such as exponential and logarithmic functions.
Algebra 2 helps students who want jobs that involve chemistry, medicine and physics. It is also helpful in business and economics because algebra teaches how one variable affects another.
As part of my degrees in Literature and Theatre, I have participated in many discussions involving the merits and drawbacks of cinematic interpretations of novels and plays. I have participated in the making of major motion pictures, independent college productions, and films used in theatrical productions. For a majority of two school years, I taught a course in Cinema Appreciation.
Geometry comes in two catagories:
1. mathematics of shapes: the branch of mathematics that is concerned with the properties and relationships of points, lines, angles, curves, surfaces, and solids
2."Euclidean geometry" or "solid geometry": a set of distinct theories or its application to a particular type of problem or object
The first type of geometry is found on the MCAS and is more often taught in geometry classes. The second type is less common as it is the type of geometry built on logic and rules, called proofs. These proofs are often difficult for students to build and make geometry their least favorite branch of math.
Precalculus is really just a way to get you acquainted with the main ideas of calculus: functions, rates of change, and accumulation. Moreover, precalculus attempts to show you that each of these ideas can serve as a mathematical model of a tremendous number of phenomena in our everyday experience.
Most of precalculus is just looking at examples, listening for these key words and phrases as they are used to describe different situations, and slowly coming to an understanding of how a few simple notions can help us to appreciate the unity among nature's variety.
A student will probably find themselves studying almost every day of the week, with homework, projects, outside reading, and test preparations. If they use the following skills, they will save time, energy, and improve their understanding of the subject they were studying.
Time-Management - It is not the amount of time you spend studying that matters. It's what you can accomplish during that time. Spending 40 hours to prepare for an exam and only earning a C clearly was a waste of your time. Develop a study plan and learn how to manage your time effectively to maximize your results.
Motivation - If you are not motivated and have a poor attitude, your study session will not be very productive. You have just one opportunity to pass that Geometry exam or ace the term paper. Pick a time of day where you can get motivated to prepare for tests, write essays, and solve problems.
Concentration - The ability to concentrate is one of the more important study skills you need to develop. You won't always be able to study in absolute silence or be able to spend as much time as you would like on a particular project. Learn how to overcome distractions so you can focus all your attention on your studies.
When in doubt, ask - If you aren't sure about a particular topic, don't be shy. Ask your instructor, family, or friends for help. It is important to address the problem area as soon as possible. Otherwise, you will end up having to spend even more time studying to catch up.
I have a degree in theatre from Fitchburg State College. I have worked on stage as an actor and backstage as a director, stage manager, and in most other capacities.