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The FOIL method is a special case of a more general method for multiplying algebraic expressions using the distributive law. The word FOIL was originally intended solely as a mnemonic for high-school students learning algebra. The term appears in William Betz's 1929 text Algebra for Today, where he states: [2]
The first actual attestation of the phrase "freshman's dream" seems to be in Hungerford's graduate algebra textbook (1974), where he states that the name is "due to" Vincent O. McBrien. [7] Alternative terms include " freshman exponentiation ", used in Fraleigh (1998). [ 8 ]
I was taught in junior high to use the FOIL rule, and later in college I learned that when you tutor students in algebra (even college students), they understand much better when you use words like "FOIL", "cross multiply", "SOH-CAH-TOA" (which I still use :), and "Lo-dee-hi minus Hi-dee-lo over Lo-Lo" (for the quotient rule of derivatives).
Unlike abstract algebra, elementary algebra is not concerned with algebraic structures outside the realm of real and complex numbers. It is typically taught to secondary school students and at introductory college level in the United States, [5] and builds on their understanding of arithmetic. The use of variables to denote quantities allows ...
Algebra tiles are mathematical manipulatives that allow students to better understand ways of algebraic thinking and the concepts of algebra. These tiles have proven to provide concrete models for elementary school , middle school , high school , and college-level introductory algebra students .
Pre-algebra is a common name for a course taught in middle school mathematics in the United States, usually taught in the 6th, 7th, 8th, or 9th grade. [1] The main objective of it is to prepare students for the study of algebra. Usually, Algebra I is taught in the 8th or 9th grade. [2]
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