Algebra I Course Description
ALGEBRA
I
It is assumed that the student has no knowledge
whatsoever of algebra concepts; pre-algebra is not required. Also, minimal arithmetic
skills are needed.
Parents (or other supervisors) do not need to prepare anything. The course is designed so that the student can enjoy individualized instruction. The teaching portion on the video tape averages 15 minutes for each lesson. After watching this instructional presentation, the student has worksheet assignments which average about 30-45 minutes. If the student has difficulty with a particular problem, the supervisor may allow the student to view the solution which is worked out in detail in the Answer Key.
There are quizzes or tests about every 7 lessons. The end of Phase 3 contains a 2-part final exam for the entire course.
All 3 phases are needed to complete the first course in algebra. (Also, all 3 phases are needed for students who plan to attend college.) The following breakdown shows the importance of each phase.
Phase 1. This portion contains the "basic operations" of algebra. After
completing the last lesson, the student should be on "talking terms" with anyone
who discusses the subject of algebra. It deals primarily with equations and
factoring, including the main properties that are necessary to work with equations
(commutative, associative, and distributive).
Phase 2. Phase 2 also contains "basics," but they apply more heavily
toward future studies in geometry, trigonometry, and calculus. This includes
extensive work with fractions in equations and a large number of operations
with square roots, which are crucial to future studies in mathematics. There
are several lessons dealing with "word problems," an area which can significantly
affect aptitude tests. Students who do not plan to attend college may terminate
studies at the end of Phase 2.
Phase 3. Phase 3 gives introductory study of graphing, mostly straight
lines. This topic appears in all future math courses. Our course has extensive
coverage of "completing the square" (needed for graphing curves) and the quadratic
formula. Most Algebra I courses only touch lightly (if at all) on these 2 important
concepts.
We have had several reports of students entering calculus and statistics classes in college with only our Algebra I course as their background, and they have received top grades in those courses.
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