The goal for math in our homeschool was for the kids to work through a basic elementary curricula, and be ready for Algebra around 8th grade which should take a year, then take Geometry, Algebra 2, Trigonometry, Pre-Calculus and Calculus, passing at least 1 AP test at the end.
This worked for me, I didn’t have to take anymore math for my major in college. I loved math, I thought it was fun, I kind of missed it in college although I did take Statistics and Computer Science and Economics, but they didn’t compare at all to calculus. My husband took Calculus in college and basically followed the same route I did. I felt that my math skills were really good from the public schools. And if something works– why change it? Especially in our technological world– this is a good solid foundation for lots of careers that works.
In real life however, I have found with my beautiful creative daughter, that this track won’t work for everyone. I finally got to understand most of the kids I went to school with who hated math. Most kids it turns out, barely get by in math and are elated when it is over and there is no more to do. The track I described above may work for a lot of people, including 7 of my 8 kids, but it will not work for my oldest.
Even as a toddler, she could not remember the names of the colors, I thought I was pushing her too hard, til her sister 19 months younger learned them all on her own with no encouragement from me. Then in 1st grade math, she just could not understand the concept of how many more than? or how many less than? Each new concept was difficult for her, she had to work long and hard to understand math. Lots of good has come from it, she has learned very good study skills and continues to learn how to organize her time and what methods of study are most effective for her.
She is now a 10th grader and is almost finished with the first half of an online Geometry course. It turns out that the Math section of the ACT only tests Algebra, Geometry, and just 3-4 questions of Trigonometry. So if a student learns those subjects well, they should do well on the ACT and have no trouble getting into college. Once in college, they can decide how much more math to take if any depending on their major. But they will have the choice and the foundation to not be inhibited from any major in which they may have an interest.
Even if they don’t do that well on the math section, the college will put them in the math class they need, it may take more time and it would be rotten to not get college credit for a course on which they must spend a lot of time, but that’s how it goes.
So here are our curriculum choices for math: http://educationalpursuits.org/math-curriculum-choices/
Please like this if it was helpful for you, and feel free to ask questions in the comments!! Thanks!