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We began our school year with Horizons Math after using Modern Curriculum Press the previous year. The books are great because "they use a spiral learning method to help your student master concepts through the process of introduction, review, and reinforcement."
I orginally started with only the student book but had to get a used copy of the Teacher's Manual so that I could add additional lessons to help reinforce what we were learning. The teachers guide includes a daily lesson planner, scope & sequence, materials & supplies list, teaching tips, and activities as well as the necessary worksheets that are used for additional drill or practice.
It is inexpensive. I spent about $8 (including shipping) on a used TM and bought the student book 1 new at Christianbok.com for about $12. Then in the second half of the year we bought book 2 for the same price. All together it was about $32.
Sandra. Wife to Timothy and Homeschool mom to Michael and Matthew
Married for 14+ years to the love of my life. Currently TTCing.
I like both a lot, actually. Horizons is better for a really good math student because it's more challenging, so that would be the deal-breaker in my opinion. (How well concepts are learned without tons of repetition, I mean.) I'd choose BJU for an average learner.
Horizons is very challenging, and it's 6-18 mos ahead of other publishers and state standards. If she hates it because it's boring, Horizons would be good. If she hates it because she's frustrated, I'd go with BJU.