Once I heard a student remark "I get it when they have x and y in a equation; but when they add a, b and c, not sure what is going on!!" Trust me over 45% students abhor algebra because of its bad reputation of an abstruse math topic that combines alphabets and numerals. However, once they start appreciating the need and the value of a variable (the unknown!) or variables, their algebra journey takes a fascinating twist!

Besides that lingering algebra fear in many, I have also seen parents getting confused with the various kinds of algebra topics their kids have to go through. Advanced students cover higher algebra earlier while others follow the prescribed level or a lower level algebra. So, I think a good list of topics involved in various algebra courses may be of great help to most of us, if not all. It may also help you know where your son or daughter is on the algebra route.

As a tutor and a father of a 9th grade daughter and a 4th grade son, I cannot stress enough the need to build a solid foundation of algebraic concepts. If you are a student who needs help with any algebra topic or a parent looking for assistance, you can reach me out by visiting my WyzAnt profile. Algebra is so profound and enriching - once you get involved, you just stay involved!

Here we go:

Pre-Algebra (Middle School - Typically 6th and 7th grade)

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Integers and Absolute Value

Comparing and ordering Integers

Adding integers

Subtracting integers

Multiplying integers

Dividing integers

Rational Numbers

Multiplying rational numbers

Dividing rational numbers

Adding and subtracting fractions and mixed numbers

Arithmetic & Geometric Sequences

The Distributive Property

Simplifying Algebraic Expressions

Solving equations adding or subtracting

Solving equations multiplying or dividing

Solving two-step equations

Writing two-step equations

Order of operations (Number and Expressions)

Variables and Expressions

Variables and Equations

Properties

Permutations and Combinations

Algebra-1 (Middle School - 8th Grade typically. Sometimes 9th grade)

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Expressions

Positive and Negative Numbers

Solving Equations

Solving Inequalities

Relations and Functions

Linear Equations

Polynomials

Factoring

Systems of Equations

Data Analysis

Square Roots

Algebra-2 (High School. Typically 10th or 11th grade)

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Solve equations and inequalities.

Graph points, lines, and functions.

Solve systems of equations.

Combine, multiply, and factor polynomials.

Manipulate fractional algebraic Expression.

Manipulate algebraic powers and roots.

Graph and solve equations involving complex numbers.

Solve quadratic equations.

Graph quadratic functions.

Graph circles, ellipses, hyperbolas, and systems of equations.

Graph exponential functions and solve logarithmic equations.

Solve problems involving permutations, combinations, and basic probability.

Perform addition, subtraction, and multiplication with matrices.

NOTE - I collected this information by visiting various websites outlining the courses and topics covered in Pre-Algebra, Algebra-1 and Algebra-2 -- this is just a brief "compilation" and is not guaranteed to list out EVERY single topic that may be covered under those courses. However, it should give you a fair assessment of the nature of topics covered.

Enjoy your Algebra! :-)