Triangles and Parallelograms Area Concepts

In this lesson, students learn about the bases and heights of triangles and how to calculate their area using different base-height pairs. The lesson includes an activity where students draw triangles with a specific area, starting with a right triangle example and then exploring non-right triangles. The teacher encourages students to think critically about different base-height pairs and their impact on the area. The lesson concludes with questions to deepen understanding.

What is the main objective of the lesson on bases and heights of triangles?

• To understand the properties of circles

• To learn about different types of quadrilaterals

• To identify and draw corresponding base-height pairs

• To calculate the perimeter of triangles

In Activity 1, what is the area of the triangle you are asked to draw?

• 24 square units

• 6 square units

• 12 square units

• 18 square units

How is the area of a triangle related to the area of a rectangle?

• It is double the area of a rectangle

• It is one-third the area of a rectangle

• It is half the area of a rectangle

• It is the same as the area of a rectangle

What shape is used to help visualize the area of a non-right triangle?

• Trapezoid

• Square

• Circle

• Parallelogram

What is the base of the parallelogram used in the non-right triangle example?

• 6 units

• 4 units

• 5 units

• 7 units

What is the height of the parallelogram used in the non-right triangle example?

• 6 units

• 5 units

• 4 units

• 3 units

What is a better starting point when drawing a triangle from scratch?

• Starting with the area

• Starting with the perimeter

• Starting with the height measurement

• Starting with the base measurement

Which of the following base-height pairs will also produce a triangle with an area of 12 square units?

• Base: 5, Height: 5

• Base: 4, Height: 6

• Base: 6, Height: 4

• Base: 3, Height: 8

What is the area of a parallelogram with a base of 6 units and a height of 4 units?

• 12 square units

• 18 square units

• 24 square units

• 30 square units

What is the relationship between the area of a triangle and a parallelogram with the same base and height?

• The triangle's area is the same as the parallelogram's area

• The triangle's area is half the parallelogram's area

• The triangle's area is double the parallelogram's area

• The triangle's area is one-third the parallelogram's area