# Difference between revisions of "Prealgebra"

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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. | |

+ | |||

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

+ | * Arithmetic with the [[natural numbers]] and [[integers]]. | ||

+ | * An introduction to [[fractions]] and [[decimals]]. | ||

+ | * An introduction to the basics of [[number theory]] ([[prime factorization]], [[multiples]], [[least common multiple]], [[greatest common divisor]], etc.) | ||

+ | * An introduction to the basics of [[statistics]]. | ||

+ | * [[Exponents]], the [[root operation]], and [[scientific notation]]. | ||

+ | * Solving [[linear equations]], [[inequalities]], and modeling word problems using variables. | ||

+ | * [[Ratios]], computing simple [[conversions]] and [[rates]]. | ||

+ | * [[Percentages]]. | ||

+ | * An introduction to geometry (computing area, perimeter, angles, etc.). | ||

+ | |||

+ | == Resources == | ||

+ | === Books === | ||

+ | * ''the Art of Problem Solving: Prealgebra'' by David Patrick [https://artofproblemsolving.com/store/item/prealgebra (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. | ||

+ | * [https://artofproblemsolving.com/school/course/catalog/prealgebra1 Prealgebra 1] | ||

+ | * [https://artofproblemsolving.com/school/course/catalog/prealgebra2 Prealgebra 2] | ||

+ | |||

+ | [[Category:Introductory Mathematics Topics]] |

## Latest revision as of 19:12, 19 September 2020

**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:

- Arithmetic with the natural numbers and integers.
- An introduction to fractions and decimals.
- An introduction to the basics of number theory (prime factorization, multiples, least common multiple, greatest common divisor, etc.)
- An introduction to the basics of statistics.
- Exponents, the root operation, and scientific notation.
- Solving linear equations, inequalities, and modeling word problems using variables.
- Ratios, computing simple conversions and rates.
- Percentages.
- An introduction to geometry (computing area, perimeter, angles, etc.).

## 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.