
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")


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
