After your homeschooler finishes Pre-Algebra they will be taking Algebra 1. Most students will notice that Algebra 1 goes over many of the topics that they learned in Pre-Algebra. As such there might be a perception that Algebra 1 is just a little harder repeat of Pre-Algebra. I understand how students could get this initial perception but as a homeschooling parent you need to know that your child will be learning a lot more complex math in Algebra 1.

Many students can get over confident early in Algebra 1 only to be shocked how hard the course gets later in the year- you don’t want this to happen to your child. I thought it might be helpful to highlight some of the chapters in Algebra 1 that really challenge students and most likely were only touched upon in Pre-Algebra.

**Algebra 1 Topics Introduced In Pre-Algebra: **

- First 1/3 to 1/2 of the course will be a review of Pre-Algebra- students will see many of the concepts they should have mastered such as variables, integers, solving equations, inequalities, graphing linear equations and finding the equations of lines.
- Systems- much harder in Algebra 1 as students will get into systems of inequalities and linear programming.
- Polynomials- students will learn about factoring to include advance factoring techniques.
- Quadratic Equations- involved topics like completing the square and the quadratic formula will be studied in-depth . Also new abstract concepts like complex numbers will be introduced.
- Functions and Relations- students will be challenged to find the inverse of a function, range, domain and composite functions.
- Rational and Radical Functions – much more involved than in Pre-Algebra; students will need to use advance factoring techniques to solve problems.

So as you can see Algebra 1 starts with a review of Pre-Algebra to establish a foundation. Once the foundation is set the course introduces many advance topics. It should be noted that a lot depends on which curriculum / text you use however most solid learning programs will cover the essence of these topics as I described. Lastly you want your child to be confident as they start Algebra 1 however you also want them to review the core skills they learned in Pre-Algebra as they will be needed to learn more advance topics later in the course.