"Area of ​​Trapezoid" Area of ​​Polygon PPT free download

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"Area of ​​Trapezoid" Area of ​​Polygon PPT free download

Part One: Learning Objectives

1. Experience the exploration activities of trapezoid area and experience the application of cut and complement method in exploration.

2. Master the formula for calculating the area of ​​a trapezoid and be able to calculate the area of ​​a trapezoid correctly.

3. Be able to use the trapezoidal area calculation formula to solve related practical problems.

focus

Master the formula for calculating the area of ​​a trapezoid and be able to calculate the area of ​​a trapezoid correctly.

difficulty

Be able to use the trapezoidal area calculation formula to solve relevant practical problems.

Area of ​​Trapezoid PPT, Part 2: Interpretation of Examples

How to find the area of ​​the trapezoid in the figure? Share your thoughts with a partner.

You can convert trapezoids into previously learned shapes.

Compare the relationship between the graphs before and after the transformation.

Convert the trapezoid into the learned figure and compare the area of ​​the figure before and after the transformation.

How to calculate the area of ​​a trapezoid? Think about it and talk to your peers.

The sum of the upper and lower bases of the trapezoid is exactly the base of the parallelogram, and the height is equal to the height of the parallelogram.

area of ​​parallelogram

=Bottom×Height

= (upper bottom + lower bottom) × height

area of ​​trapezoid

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

Area of ​​Trapezoid PPT, Part 3: Typical Examples

[Example 1] Calculate the area of ​​each trapezoid below.

(11+9)×8÷2=80(cm2)

(5+7)×6÷2=36(dm2)

[Example 2] The height of a trapezoid is 8 decimeters, and the sum of the upper and lower bases is 1.5 meters. What is the area of ​​this trapezoid in square decimeters?

1.5 meters = 15 decimeters

15×8÷2=60(square decimeter)

Answer: The area of ​​this trapezoid is 60 square decimeters.

Area of ​​trapezoid PPT, part 4 content: summary

Area formula of trapezoid

Area of ​​trapezoid = (upper base + lower base) × height ÷ 2

S = (a + b) × h ÷ 2

Area of ​​trapezoid PPT, part 5: quiz in class

1. Judgment. (Pick "√" if it's correct, "✕" if it's wrong)

(1) The area of ​​a trapezoid is equal to half of the area of ​​a parallelogram. ()

(2) Two identical right-angled trapezoids can be combined to form a rectangle. ()

(3) A trapezoid with an upper base of 5 cm, a lower base of 8 cm, and a height of 3 cm has an area of ​​12 square centimeters. ()

2. A trapezoidal window has a lower base of 6 meters, a lower base that is 1.5 times that of the upper base, and a height that is half of the lower base. Find the area of ​​this trapezoidal window.

6÷1.5=4(meters)

6÷2=3(meters)

(6+4)×3÷2=15(square meters)

Answer: The area of ​​this trapezoidal window is 15 square meters.

3. A trapezoidal garden, the upper base is 35 meters, the lower base is 25 meters, the area is 1140 square meters, how many meters is the height?

1140×2÷(35+25)=38(meters)

Answer: The height is 38 meters.

Area of ​​trapezoid PPT, part 6 content: homework

1. Select from the after-class exercises;

2. Complete the exercises in this lesson in the exercise book.

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For more information about the "Area of ​​Polygons and Areas of Trapezoides" PPT courseware, please click on the Area of ​​Polygons PPT and Area of ​​Trapezoid PPT tags.

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Update Time: 2024-11-21

This template belongs to Mathematics courseware Beijing Normal University Edition Fifth Grade Mathematics Volume 1 industry PPT template

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