FRACTIONS

Cutting equal parts

Taking some of the equal parts

Many of the equal parts

Cutting further

Bigger Slices

Cutting entire pieces

Comparing equal slices

Comparing slices of different sizes

Comparing general amounts

Comparing to entire pieces

Fractions on the number line

Equivalent fractions on the number line

ADDITION

Collecting equal slices

Collecting many equal slices

Collecting slices

Collecting horizontal and vertical slices

Collecting many slices

Addition on the number line

Addition with equivalent slices

Adding zero

Commutativity

Associativity

SUBTRACTION

Removing equal slices

Removing many equal slices

Removing slices

Subtraction on the number line

Subtraction with equivalent fractions

Subtracting zero

MULTIPLICATION

Integer times fraction

Integer times unit fraction (partition)

Integer times unit fraction (general)

Fraction times unit fraction

Integer times fractions (two steps)

Integer times fractions (integer division)

Alternative cracking styles

Integer times fraction (number line)

Fraction times unit fraction (number line)

Fraction times fraction (number line)

Commutativity

Multiplication by zero

Multiplication by one

Distributivity

Times a proper fraction

Times an improper fraction

DIVISION

Dividing integers

Dividing a fraction by an integer (partition)

Dividing an integer by a unit fraction

Dividing a fraction by a unit fraction

Dividing an integer by a fraction

Dividing a fraction by a proper fraction

Dividing a fraction by an improper fraction

Dividing integers (number line)

Dividing by a unit fraction (number line)

Dividing by a fraction (number line)

Division by one

Distributivity

Dividing by a proper fraction

Dividing by an improper fraction

Taking the reciprocal