BJU is one of the oldest homeschool curriculums on the market. It was originally written for Christian private schools and was slowly adapted for the homeschool family. BJU math program has the same great history. It is a very solid text book traditional math curriculum and one you should consider using for your family.
Though I have personally never used this curriculum, I know many families who have used it with great success.
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RightStart Mathematics is a K - 8th grade mastery math program that includes creative games and activities to help students learn math facts well. Many homeschool families have used RightStart Math with great success. I have not personally used this math but it is one you should certainly consider in picking a math curriculum.
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Singapore Math is for grades K - 8th. It is another tried and true homeschool curriculum that has been used for a long time. Many have found great success with this math curriculum. I have not personally used this curriculum, but it would be one I would recommend you checking out as you are trying to decide on a math curriculum.
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Saxon math is another long history math curriculums that has been used in homeschool families. Saxon is a text book traditional curriculum used in many Christian schools as well as in the homeschool. Saxon has a complete curriculum from K - 12th grade. Saxon is an incremental spiral approach to teaching and will leave your students with a great foundation in math. I have not personally used this curriculum, but being in homeschool world for 11 years know plenty of families who have used it with great success.
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Math-U-See is a mastery math program running from elementary all the way through Calculus. Though I have not personally used Math-U-See it is a curriculum that has been around in homeschool world for a long time. It was written by Steve Demme a God-fearing Christian man, who also runs Building Faith Families. Math-U-See is well worth your time to consider using in your homeschool.
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Rod and Staff Math is a foundational math program that is built on mastery. It is a simple black and white standard text book curriculum and is full of review and building a solid math foundation.
Our family used this curriculum from K - 2nd grade and we loved it. Simple to use, concepts laid out well, and all my children thrived with this curriculum. We did find for a couple of our children who are really good at math the review was too much, in which case we simply had them practice the new concepts and review a couple of problems and then would cross out the rest. For one of my children this review was very necessary. Rod and Staff Math is also used in several other boxes curriculums like Memoria Press! The concepts are simple and easy to teach and easy for a child to follow.
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Teaching Textbooks is an excellent option for homeschool families who don't want to do the "teaching" of math. Teaching Textbooks is a CD or online curriculum where each lesson is taught. There are frequent quizzes and tests and all records are kept and recorded within the software. Teaching Textbooks is for children in 3rd to Pre-Calculus.
Our experience with Teaching Textbooks has been wonderful. I have started all my children at 3rd grade. Though I do recommend anyone starting in 3rd grade makes sure your children know their times tables well before starting. My family has never done the 7th grade year we always skip to Pre-Algebra. My oldest daughter will be starting Pre-Cal this fall. She has also taken her Algebra CLEP test and passed with a great score thanks to this curriculum.
I struggle with math and though my husband is great at math (he's an electrical engineer) he doesn't have time to teach separate lessons to our children in math every day. Using Teaching Textbooks means our children can learn through Teaching Textbooks and if they have any follow up questions they can talk with Ben!
I've heard Teaching Textbooks get a bad rap occasionally for not being as academically challenging, I personally haven't found this to be true. What I have found is that Teaching Textbooks does not teach everything in the same order as a traditional math curriculum. Therefore, if you switch between curriculums you will feel like it is behind or they didn't learn everything they needed to learn. However, in the long run if you stick with Teaching Textbooks it all balances out and they have a wonderful, well rounded grasp of all the math concepts they will need!
Check out Teaching Textbooks here