• Source: Pre-algebra
    • 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. 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.
      As an intermediate stage after arithmetic, pre-algebra helps students pass specific conceptual barriers. Students are introduced to the idea that an equals sign, rather than just being the answer to a question as in basic arithmetic, means that two sides are equivalent and can be manipulated together. They may also learn how numbers, variables, and words can be used in the same ways.


      Subjects


      Subjects taught in a pre-algebra course may include:

      Review of natural number arithmetic
      Types of numbers such as integers, fractions, decimals and negative numbers
      Ratios and percents
      Factorization of natural numbers
      Properties of operations such as associativity and distributivity
      Simple (integer) roots and powers
      Rules of evaluation of expressions, such as operator precedence and use of parentheses
      Basics of equations, including rules for invariant manipulation of equations
      Understanding of variable manipulation
      Manipulation and plotting in the standard 4-quadrant Cartesian coordinate plane
      Powers in scientific notation (example: 340,000,000 in scientific notation is 3.4 × 108)
      Identifying Probability
      Solving Square roots
      Pythagorean Theorem
      Pre-algebra may include subjects from geometry, especially to further the understanding of algebra in applications to area and volume.
      Pre-algebra may also include subjects from statistics to identify probability and interpret data.
      Proficiency in pre-algebra is an indicator of college success. It can also be taught as a remedial course for college students.


      See also



      Precalculus
      Mathematics education in the United States


      References



      Szczepanski, Amy F.; Kositsky, Andrew P. (2008), The Complete Idiot's Guide to Pre-algebra, Penguin, ISBN 9781592577729

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