Exploring the Area of Parallelograms

The video tutorial reviews how to calculate the area of a rectangle by multiplying its base and height. It then introduces the concept of a parallelogram, explaining that its area can also be calculated using the base and height. Through visualization, the video demonstrates that by rearranging parts of a parallelogram, it can be transformed into a rectangle, thus confirming that the area of a parallelogram is also the base times the height.

What is the formula for the area of a rectangle?

• Length + Width

• Base x Height

• Base + Height

• 2 x (Base + Height)

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

What is the base of a rectangle used for in area calculation?

• To determine the perimeter

• To multiply with the height for area

• To add to the height

• To subtract from the height

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

What defines the height in a parallelogram?

• The diagonal length

• The vertical side length

• The perpendicular distance from the base

• The horizontal side length

In the context of a parallelogram, what does the height represent?

• The perpendicular distance from the base to the opposite side

• The distance across the middle

• The length of the base

• The longest side of the parallelogram

Tags

CCSS.7.G.B.5

How can the area of a parallelogram be visualized?

• By rotating it

• By dividing it into triangles

• By doubling the height

• By moving a triangular section from one side to the other

Tags

CCSS.6.G.A.1

What happens to the parallelogram when a triangular section is moved from one side to the other?

• It looks like a rectangle

• It becomes a circle

• It turns into a square

• It remains unchanged

Tags

CCSS.HSG.CO.A.3

What visual technique is used to show that a parallelogram's area can be calculated like a rectangle's?

• Folding the shape in half

• Cutting and pasting a section to the other side

• Cutting and rotating the shape

• Coloring different sections

Tags

CCSS.6.G.A.1

After rearranging the parallelogram, what shape does it resemble?

• A circle

• A triangle

• A rectangle

• A square

Tags

CCSS.2.G.A.1

CCSS.1.G.A.1

What is the area formula for both a rectangle and a parallelogram?

• Base x Height

• Length x Width

• Height x Diagonal

• Base + Height

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

What conclusion can be drawn about the areas of rectangles and parallelograms?

• They are always different regardless of dimensions

• They cannot be compared

• They are the same when the base and height are equal

• They are calculated differently

Tags

CCSS.6.G.A.1