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Basic Operations with Fractions - Meaning of basic vocabulary, what fractions represent, and equivalent
fractions. Methods for converting improper fractions to mixed numbers,
and reducing fractions
Addition
of Fractions - Meaning of adding fractions with the same denominator. Meaning of adding
fractions with different denominators. Methods for both of the above
Subtraction of Fractions - Meaning of subtraction, and relation to addition. Methods for subtraction,
including the subtraction of mixed numbers and "borrowing from the
whole number"
Multiplication of Fractions - Meaning of multiplication related to area. Methods for multiplying any
combination of fractions, whole numbers, and mixed numbers
Division of Fractions - Basic meaning of division, and relation to multiplication. The method
for division of fractions ("invert and multiply")
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Substitution - The use of letters to represent unknown numbers. Methods for substitution, including negative numbers and fractions
Simplification - The use of letters to represent unknown numbers. Methods for substitution, including negative numbers and fraction
Equations - Meaning of solving an equation, using the example of a weighing scales. The transposition method for solving equations
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