"Trapezoid Area" Area of ​​Polygon PPT Courseware

Description

"Trapezoid Area" Area of ​​Polygon PPT Courseware

teaching objectives

1. Experience the process of teamwork to explore, communicate and apply the trapezoidal area formula.

2. Explore and master the area formula of a trapezoid, and be able to use the formula to calculate the area of ​​a trapezoid.

3. Get the pleasant experience of group cooperative learning and feel the orderliness of the derivation process of the area formula.

Work in groups to explore how to calculate the area of ​​a trapezoid.

Can it be converted into the learned graphics to find the area?

Two trapezoids of the same shape and size can form a parallelogram.

Trapezoidal area = (upper base + lower base) × height ÷ 2

Area of ​​parallelogram = base × height

Trapezoidal upper bottom + trapezoidal lower bottom

Area of ​​trapezoid = area of ​​flat quadrilateral ÷2

= (upper bottom + lower bottom) × height ÷ 2

give it a try

Find the area of ​​each trapezoid below. (Unit: cm)

(15+8)×7÷2=80.5 (square centimeters)

(10＋16)×12÷2＝156 (square centimeters)

(28＋14)×15÷2＝315 (square centimeters)

practice

1. Dig a new ditch with a trapezoidal cross-section (as shown in the picture below). The width of the channel mouth is 3.2 meters, the width of the channel bottom is 1.8 meters, and the channel depth is 1.5 meters. What is the area of ​​its cross-section in square meters?

(3.2＋1.8)×1.5÷2

=3.75 (square meters)

Answer: Its cross-sectional area is 3.75 square meters.

2. The following is a cross-sectional view of a barrage. Find its area. (Unit: m)

(5+60)×15÷2

=487.5 (square meters)

Answer: Its area is 487.5 square meters.

3. The science and technology team makes an airplane model. The plan view of the wing is composed of two identical trapezoids (as shown below). What is its area in square millimeters?

2×(48＋100)×250÷2

=37000 (square millimeters)

Answer: Its area is 37,000 square millimeters.

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For more information about the "Area of ​​Polygons and Area of ​​Trapezoid" PPT courseware, please click the Area of ​​Polygons ppt Area of ​​Trapezoid ppt tag.

File Info

Update Time: 2024-10-23

This template belongs to Mathematics courseware Hebei Education Edition Fifth Grade Mathematics Volume 1 industry PPT template

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