The concepts of algebraic calculation, such as simplification, expansion, factorization, and the use of notable identities, are fundamental for classes from 8th grade to 12th grade. This naturally connects with equations of the 1st degree, 2nd degree, and product equations, which are covered from 8th grade and deepened until 12th grade, especially in AP Mathematics. These concepts are essential for solving complex algebraic problems.
In the 12th grade, particularly in economics and social studies tracks, students encounter financial calculation with formulas for calculating loan and insurance premiums. Numeric functions, studied from 11th grade and becoming more complex in 12th grade, include parity search, graphical representation, and tables of derivatives and primitives. Trigonometric functions, covered from 10th grade and deepened until 12th grade, include sine, cosine, tangents, and their associated formulas.
Fractions, including basic operations and fraction comparison, are skills acquired from middle school and reinforced in high school. Geometry, including calculating volumes, areas, and surfaces as well as the Pythagorean theorem, is taught throughout middle and high school. Vectors, including coordinates, direction vector, and scalar and vector products, are key concepts from 10th grade and deepened in high school. These geometry and vector notions are crucial for analytical geometry and physics.
Matrices, their definition, addition, multiplication, and determinant calculation, are often covered in the 12th grade and in advanced math courses. Numbers, including basic operations, prime number decomposition, and percentages, are fundamental from middle school and used in many aspects of mathematics and daily life. Complex numbers, including conjugate, affix, modulus, argument, and 2nd degree equations, are introduced in 11th grade and deepened in 12th grade, essential for solving complex equations and understanding oscillatory phenomena.
Statistics, including arithmetic and weighted means as well as frequencies, are present from 8th grade and deepened until 12th grade, used for data analysis and interpretation. Numerical sequences, their definition, variation sense, and term sum, are covered from 11th grade and are essential for understanding arithmetic and geometric progressions.
Finally, time, with duration conversions and speed and pace calculations, is taught from middle school and finds applications in various scientific and practical contexts.
These course reviews are essential for efficiently reviewing for exams like the SAT, ACT, and AP tests, including specialized subjects.