Difference between revisions of "Prealgebra"

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==Definition==
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'''Prealgebra''' is a term commonly used to refer to the level of [[mathematics]] a student studies before moving on to [[algebra]] and/or [[geometry]]. Prealgebra is difficult to define precisely other than "the math taken before algebra" because of the broad number of subjects that various prealgebra curriculums use.
Pre (before) - algebra
 
  
A course which the level is lower than algebra.
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A typical prealgebra curriculum more-or-less consists of:
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* Arithmetic with the [[natural numbers]] and [[integers]].
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* An introduction to [[fractions]] and [[decimals]].
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* An introduction to the basics of [[number theory]] ([[prime factorization]], [[multiples]], [[least common multiple]], [[greatest common divisor]], etc.)
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* An introduction to the basics of [[statistics]].
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* [[Exponents]], the [[root operation]], and [[scientific notation]].
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* Solving [[linear equations]], [[inequalities]], and modeling word problems using variables.
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* [[Ratios]], computing simple [[conversions]] and [[rates]].
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* [[Percentages]].
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* An introduction to geometry (computing area, perimeter, angles, etc.).
  
==AoPS Course==
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== Resources ==
Prealgebra is a subject in mathematics that is generally offered for students as a preparation for algebra. It is a mix of different middle-school topics to get the student ready for algebra.
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=== Books ===
===Example Problem===
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* ''the Art of Problem Solving: Prealgebra'' by David Patrick [https://artofproblemsolving.com/store/item/prealgebra (Details)].
If Bob is <math>65</math> years old and is <math>5</math> times <math>3</math> more years than hold old John is, how old is John.[i]Answer: 10[/i]
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=== AoPS Classes ===
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The AoPS classes for prealgebra are a good starting point for those who finished up [[Beast Academy]]'s curriculum or have a working understanding of simple arithmetic. Note that AoPS's classes are quite challenging as each class is considerably more in-depth and problem-solving-oriented compared to the equivalent typical school course in prealgebra which focuses more on rote memorization.
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* [https://artofproblemsolving.com/school/course/catalog/prealgebra1 Prealgebra 1]
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* [https://artofproblemsolving.com/school/course/catalog/prealgebra2 Prealgebra 2]
  
{{stub}}
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[[Category:Introductory Mathematics Topics]]
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[[category:Mathematics]]
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[[category:Prealgebra]]

Latest revision as of 10:47, 28 September 2024

Prealgebra is a term commonly used to refer to the level of mathematics a student studies before moving on to algebra and/or geometry. Prealgebra is difficult to define precisely other than "the math taken before algebra" because of the broad number of subjects that various prealgebra curriculums use.

A typical prealgebra curriculum more-or-less consists of:

Resources

Books

  • the Art of Problem Solving: Prealgebra by David Patrick (Details).

AoPS Classes

The AoPS classes for prealgebra are a good starting point for those who finished up Beast Academy's curriculum or have a working understanding of simple arithmetic. Note that AoPS's classes are quite challenging as each class is considerably more in-depth and problem-solving-oriented compared to the equivalent typical school course in prealgebra which focuses more on rote memorization.