Finding the Area of Parallelograms

Mrs. Nelson introduces the concept of parallelograms and explains how to find their area using reasoning strategies and knowledge of rectangles. The lesson involves decomposing a parallelogram into a rectangle by cutting and rearranging its parts. This process demonstrates that the area remains unchanged, as the parallelogram and rectangle consist of the same parts. The video concludes with a recap of the lesson's objectives and key points.

What type of geometric figure is the focus of Unit 1 Lesson 4?

• Circle

• Triangle

• Rectangle

• Parallelogram

Tags

CCSS.5.G.B.4

What does 'decompose' mean in the context of geometry?

• To color differently

• To measure accurately

• To combine shapes

• To separate into parts

Tags

CCSS.1.G.A.2

What is the purpose of rearranging the pieces of a parallelogram?

• To create a different shape

• To make it look nicer

• To find the area more easily

• To confuse the observer

How many units wide is the rectangle formed after rearrangement?

• Five units

• Nine units

• Ten units

• Forty-five units

What is the area of the rectangle formed from the parallelogram?

• 45 square units

• 50 square units

• 40 square units

• 55 square units

Tags

CCSS.6.G.A.1

Why does the parallelogram have the same area as the rectangle?

• Because they are from different lessons

• Because they have different colors

• Because they are made of the same parts

• Because they have different shapes

What is the height of the newly formed rectangle?

• Five units

• Ten units

• Seven units

• Nine units

Tags

CCSS.3.MD.D.8

How does rearranging the parts of a parallelogram affect its area?

• Increases the area

• Decreases the area

• Does not change the area

• Makes the area double

Tags

CCSS.8.G.A.3

What can be concluded about the areas of shapes after rearrangement?

• They become incomparable

• They always decrease

• They cannot be calculated

• They remain the same

Tags

CCSS.HSG.CO.C.11

What strategy is emphasized for finding the area of non-rectangular parallelograms?

• Ignoring the non-rectangular parts

• Decomposing and rearranging

• Using advanced calculus

• Guessing and checking

Tags

CCSS.6.G.A.1