Exploring Partitioning Shapes

This video tutorial connects geometry with fractions by exploring how shapes like rhombuses and trapezoids can be divided into fractional parts using triangles. The instructor demonstrates that a triangle is half of a rhombus and one-third of a trapezoid, emphasizing the concept of fractions in geometry. Students are encouraged to apply this understanding to their homework, explaining how certain shapes represent fractions of other shapes.

What shape is also known as a parallelogram but has all sides equal?

• Rhombus

• Square

• Circle

• Rectangle

Tags

CCSS.5.G.B.4

What is the correct term for a shape that has all sides equal and is also a parallelogram?

• Rhombus

• Rectangle

• Trapezoid

• Circle

Tags

CCSS.5.G.B.4

How many triangles are needed to form a complete rhombus?

• Two

• One

• Four

• Three

Tags

CCSS.1.G.A.2

What fraction of a rhombus does one triangle represent?

• 1/4

• 1/3

• 1/2

• 1

In a rhombus divided into triangles, how many triangles make up half of the rhombus?

• Four

• Three

• One

• Two

How many triangles are required to construct a whole trapezoid?

• Two

• Three

• Four

• Five

Tags

CCSS.1.G.A.2

What fraction of a trapezoid does one triangle represent?

• 2/3

• 1/4

• 1/3

• 1/2

Tags

CCSS.2.G.A.3

Which shape can be divided into three equal triangles to explore its fractional parts?

• Square

• Rectangle

• Circle

• Trapezoid

Tags

CCSS.2.G.A.3

If focusing on two triangles within a trapezoid, what fraction do they represent?

• 1/2

• 2/3

• 3/4

• 1/3

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2A

What fraction of a trapezoid do two triangles represent?

• 1/2

• 1/3

• 2/3

• 3/4

Tags

CCSS.3.G.A.2