All High School Math Resources
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All High School Math Resources
The math courses offered during high school can be extremely diverse, as each student will come in with a different mathematics background and different mathematics goals. Placement into the correct entry-level course is essential in order to build conceptual understanding and prepare students for the higher level classes they will face later in their high school curriculum.
Most students enter High School Math at either the Pre-Algebra or Algebra I level. Pre-Algebra is designed to introduce students to variable manipulation gradually, while Algebra I is more focused on function properties and linear graphing. Concepts in Pre-Algebra include an introduction to several common mathematical operations and identities, such as the rules governing exponents, logarithms, and absolute values. Pre-Algebra will also address important properties, such as the distributive and associative properties, which will become essential in building the basis for variable manipulation. Pre-Algebra classes usually finish with basic single-variable equations and an introduction to linear functions. This introduction fuels the basis for Algebra I, which focuses of linear and quadratic functions. Students will learn the properties of various graphs and be able to manipulate quadratic functions using FOIL and the quadratic formula. Algebra I classes generally finish by touching on parabola graphing, which will form the basis for Algebra II.
Following Pre-Algebra and Algebra I, most students will take a course in Geometry. Geometry classes are generally used to introduce some three-dimensional aspects of mathematics, beginning with the concepts of points, planes, and shapes. Students will learn to analyze the length, area, and volume of various figures and be introduced to several triangle concepts, which will be used in later courses. Angles, similarity, and congruent features will be focuses of Geometry classes.
Algebra II and Trigonometry classes are usually taught after Geometry. Algebra II will focus almost exclusively on quadratic and polynomial equations, while Trigonometry will be dedicated to the identities and properties of trigonometric operations. Algebra II will require students to develop an understanding of higher-level functions and polynomials, as well as the characteristics of their graphs. Parabolas, circles, and other conic sections will be emphasized, as will sigmoidal curves. Trigonometry often requires a great deal of memorization, as trigonometric operations frequently have different properties compared to standard mathematical operations taught at lower levels.
Following Algebra II and Trigonometry, some students choose to pursue further mathematics toward calculus. Courses in Pre-Calculus commonly precede courses in AP Calculus, and are used to build upon Algebra II concepts to introduce fundamental calculus principles. Pre-Calculus is where most students first encounter limits, sequences, and series in mathematics courses. These concepts, as well as Riemann sums and preliminary derivatives, are generally introduced on a conceptual level during Pre-Calculus, and then expanded upon to build a technical understanding during courses in Calculus.
Most high schools will only offer Calculus in an AP context. Initial courses in Calculus will focus on limits and derivatives, while secondary courses will emphasize integrals and series. Few students reach this level of mastery during high school, but those who do are frequently able to test out of introductory math classes at the college level.
If you’re aiming to master a particular level of High School Math and are looking for excellent resources to help you do so, look no further than Varsity Tutors’ free High School Math Practice Tests. Consisting of between ten and twelve problems apiece, each High School Math Practice Tests includes a full explanation of the answer to each question explaining how you solve the problem. Upon completion of each High School Math Practice Test, you receive detailed statistics about how well you did in comparison to other test-takers and how long you took to solve each problem. By making use of Varsity Tutors’ free High School Math Practice Tests and other free High School Math resources, you can master your current classes and even prepare yourself for those you will take in the future!