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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