Area Relationships in Triangles

Mrs. Nelson guides sixth-grade students through a math lesson on finding the area of figures by decomposing and rearranging parts. The lesson focuses on tangram triangles, using a GeoGebra applet to explore the relationships between different shapes. Students learn to calculate the area of small, medium, and large triangles by comparing them to a known square unit. The lesson emphasizes understanding spatial relationships and applying geometric concepts to solve problems.

What is the main objective of the lesson on finding area?

• To learn about different types of triangles

• To calculate the perimeter of various shapes

• To find the area of a figure by decomposing and rearranging the parts

• To understand the history of geometry

How many small blue triangles are needed to cover one yellow square?

• Two

• Three

• One

• Four

What is the area of a small blue triangle in square units?

• Two square units

• One square unit

• Half a square unit

• One and a half square units

How does the area of the medium red triangle compare to the yellow square?

• It is half the area of the yellow square

• It is three times the area of the yellow square

• It is twice the area of the yellow square

• It is the same area as the yellow square

How many small blue triangles are needed to match the area of the medium red triangle?

• One

• Four

• Two

• Three

What is the area of the medium red triangle in square units?

• Two square units

• Half a square unit

• One square unit

• One and a half square units

What shape is formed when the large green triangle is rearranged?

• A rectangle

• A circle

• A square

• A pentagon

How many square units is the area of the large green triangle?

• Four square units

• Three square units

• Two square units

• One square unit

What is the relationship between the large green triangle and the yellow square in terms of area?

• The green triangle is three times the area of the yellow square

• The green triangle is the same area as the yellow square

• The green triangle is half the area of the yellow square

• The green triangle is twice the area of the yellow square

What is the key takeaway from the lesson on finding area?

• Calculating the perimeter of various figures

• Exploring the history of mathematics

• Understanding the properties of different shapes

• Learning to find the area by decomposing and rearranging parts