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This course is designed for the middle school student preparing to enter a high school level algebra course. Students taking this course should have strong skills in arithmetic to include fraction operations.
The first part of Pre-Algebra will explore areas of Real Numbers (positive/negative numbers), solving equations, graphing and writing lines and inequalities.
Part 2 of the course deals with topics such as functions and relations, systems, quadratic equations, polynomials, powers and exponents and rational/radical expressions. There are also sections on basic geometry to include circles, area, volume, Distance Formula and Pythagorean Theorem.
The first part of Algebra 1 is focused on real numbers, absolute value, equations/formulas, graphing and writing linear equations to including graphing absolute value functions. The next part of the course deals with functions and relations and solving quadratic equations. Linear systems are studied in-depth to include Linear Programming.
Lastly the course focuses on polynomial operations and factoring techniques. Additionally powers and exponents are covered along with and methods to simplify various radical and rational expressions/equations.
Students will first learn about various basic concepts to include: points, lines, angles and planes. Next the course introduces the student to the study of logic which is the foundation of geometric proof. Students will learn about the role theorems and postulates play in geometry.
Each respective chapter of the course focuses students on the essential topics of high school geometry. Numerous topics will be studied in depth to include: triangles, quadrilaterals, congruence and similarity, transformations, right triangles, trigonometry, circles, area and volume.
Note: the course does teach and challenge students to write geometric proofs as it is a key skill in understanding the importance of logic in mathematics.
The first part of the course is an extensive series of sections on basic algebra topics that students should have mastered in Algebra 1. Part 2 of the course focuses on quadratic equations/complex numbers, linear systems and matrices/determinants.
The next part of the course covers functions and relations and powers and radicals at a more advance level.
The course finishes by introducing many advance level topics to include exponential/logarithmic functions and solving polynomials of n-degree. Also a chapter on rational functions is explored to include a section on graphing rational functions.
Coming April 2022!
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High School Equivalency