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The Algebra I lessons in the Home Study Companion series are based on Paul A. Foerster's *Algebra I: Expressions, Equations, and Applications*. This textbook is available as part of Prentice Hall's Classics series, or in older editions through various used book sources (e.g. try Amazon.com). Homeschool parents can order teachers' manuals and solution manuals from Prentice Hall theough their "Oasis" program. The text is a true classic!
Paul A. Foerster has taught mathematics at Alamo Heights High School in San Antonio, Texas since 1961. In that same year he received his teaching certificate from Texas A&M University. His B.S. degree in Chemical Engineering and M.A. degree in Mathematics are from the University of Texas. Among many honors, he was awarded the *Presidential Award for Excellence in Mathematics Teaching* in 1983. He brings to his teaching and textbook writing the insights from his engineering background. His textbooks contain some of the best collections of real-world applications to be found in any algebra textbook.
Anyone studying mathematics at home (whether home schoolers or adults seeking to brush up or extend their mathematics skills) will recognize early on that they miss the guidance of an experienced teacher. Each lesson brings with it new techniques, new insights, and new ways of thinking. A great textbook is a wonderful resource, but a good teacher can model the thought processes and help "lift the material off the page."
The lessons on this DVD ROM are based on "screen-capture video" technology. To the user they appear as "whiteboard lectures" (see screenshot below). They provide the missing "classroom presentation" part of the course for anyone studying mathematics at home.
You will need to separately purchase a copy of Foerster's *Algebra I: Expressions, Equations, and Applications*. The lessons are based on the Prentice Hall Classics version, but there are only minor differences between this and earlier versions. These may be obtained from Pearson-Prentice Hall, Amazon.com, or elsewhere. |

**Here are some more samples on YouTube: Chapter 2-1, Chapter 3-1 , Chapter 4-6, Chapter 7-9 **

[Screen Shot]

### Teaching Tips

A number of parents have asked how to pace of the class over the course of a school year. In a home schooling environment the schedule can, and probably should, be more flexible than in a standard classroom. The ultimate basis for setting the pace is the level of understanding of the student. Keep in mind that some schools offer Algebra I as either a 1-year or a 2-year course, depending on the ability and readiness of the student. Mathematics textbooks are generally structured on the assumption of covering one section per day, with extra days for testing, review, and re-teaching of the more difficult topics. If you cover it over two years you could, of course, double the time spent per section, but you might find some sections go quickly, and more time could be allocated for review. The table below should help.

If you typically cover 1 section per day you would have 58 extra days in a 185 day school year. I would recommend spending 2-3 days for the final word-problem section of each chapter. If you use 3 days for each of those sections, you would still have 30 extra days to distribute as needed without eating into weekends or the typical holidays. (Problem assignments list I use in my classes. Each problem set typically represents one day's work. Use this as a guideline only.)

I highly recommend that parents be closely involved with the students' progress. The surest way to get behind is to allow the student to "slip through" the material without *demonstrating* that they understand it thoroughly. When this happens early in the course, you will find them unprepared for the work later in the course or in later courses. If they display difficulty in basic arithmetic along the way, set aside a block of time for arithmetic review.

For testing, you could use the Chapter Review and Test sections found at the end of each chapter, or you could pick a selection of easier and harder problems from each section of the chapter. You should always insist that all the work be shown on the same page as the answers. If your students say they can do the problems in their head, ask them to show you on paper what is going on in their head. If they insist that it is a one-step mental problem, have them explain their reasoning to you. I recommend treating this as a practical rather than a moral issue, although you will have to find your own balance on that question.

If you, as a parent, are rusty on Algebra, or perhaps never took it or never understood it the first time around, the *ideal situation* would be to take this as an opportunity to go back and be a student along with your child. (I recognize that real life tends to get in the way of the ideal situation.) Adults typically approach learning with more maturity than a child. You can be a role model of the learning process, even if it comes hard for you. If your child has to explain things to you, all the better. A little humility is good for the soul, and having to explain the material to each other will deepen the understanding for both of you.

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