Partitioning Shapes into Equal Shares

What does partitioning a shape ensure?

• Each part is a different size

• Each part is a different shape

• No specific requirements on parts

• Each part is of equal size

How many halves are needed to make a whole?

• 4

• 3

• 1

• 2

Can a shape be considered halved if the parts are unequal?

• Yes, if it's a rectangle

• No

• Yes, if it's a circle

• Yes, always

How many thirds make up a whole?

• 6

• 4

• 2

• 3

What is a requirement for parts to be considered thirds?

• They must be triangular

• They must be of equal size

• They must be of different sizes

• No specific requirements

What is true about partitioning into fourths?

• Only one method exists

• Multiple methods are possible

• It's impossible for circles

• It requires unequal parts

How many fourths make up a whole?

• 5

• 4

• 3

• 2

Do equal shares need to be the same shape?

• No, if they are halves

• Yes, always

• No, but they must be the same size

• Yes, but only in rectangles

Can different shapes constitute equal parts in partitioning?

• Yes, but only in squares

• No, shapes must be identical

• No, unless they are triangles

• Yes, if they cover the same area

In partitioning, what is crucial for parts to be considered equal?

• Same color

• Same perimeter

• Same area

• Same angle