# Unit 3: Fractions

Students will explore the concept of fractions and apply their basic operation theorems to these new numbers. This unit is designed to help students utilize and apply the Discovery Method more independently all while creating theorems for adding, subtracting, multiplying and dividing with fractions of all kinds, as well as writing equivalent fractions and converting between mixed numbers and improper fractions.

#### Theorems Your Student Will Discover:

How to find equivalent fractions

How to simplify a fraction

How to convert an improper fraction to a mixed number

How to convert a mixed number to an improper fraction

Adding and subtracting fractions

How to add fractions

How to add with mixed numbers

How to subtract fractions with a positive difference

How to subtract fractions with mixed numbers with a positive difference

Multiplying fractions

How to multiply a fraction and a whole number

How to multiply two fractions

How to multiply a fraction and a mixed number

How to multiply two mixed numbers

Dividing fractions

How to divide a fraction by a whole number

How to divide a whole number by a fraction

How to divide a fraction by a fraction

How to divide fractions and mixed numbers

#### Definitions:

Fraction

Numerator

Denominator

Equivalent Fractions

Simplify

Improper Fraction

Mixed Number

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