"Area of ​​Trapezoid" Area of ​​Polygon PPT

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"Area of ​​Trapezoid" Area of ​​Polygon PPT

Part One: Lesson Objectives

1. Based on the derivation of the area calculation formulas of parallelograms and triangles, use the form of cooperative exploration to summarize the trapezoid area calculation formula.

2. Be able to use formulas correctly and skillfully to calculate the area of ​​a trapezoid, and be able to solve some practical problems in life.

Area of ​​trapezoid PPT, part 2 content: review introduction

True or False.

(1) Two triangles with equal areas can be combined to form a parallelogram.

(2) Two triangles with equal bases and equal heights must have equal areas.

(3) The longer the base of the triangle, the larger the area.

(4) If the base and height of a triangle are expanded to twice their original size, the area will also be expanded to twice their original size.

Area of ​​Trapezoid PPT, Part 3: Interactive New Teaching

The shape of the car window glass is trapezoidal! How to find its area?

Can you derive the formula for calculating the area of ​​a trapezoid using the methods you have learned?

(1) Two identical trapezoids can be combined to form a parallelogram.

(2) Cut a trapezoid into two triangles.

The area of ​​the trapezoid = the area of ​​the small triangle + the area of ​​the large triangle

= Upper bottom × height ÷ 2 + lower bottom × height ÷ 2

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

(3) Cut a trapezoid into a parallelogram and a triangle.

Area of ​​trapezoid = area of ​​parallelogram + area of ​​triangle

=Upper bottom×Height+(Lower bottom-Upper bottom)×Height÷2

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

If S represents the area of ​​the trapezoid, and a, b, and h represent the upper base and height of the trapezoid respectively, then the formula for the area of ​​the trapezoid is: S = (a + b) × h÷2

Area of ​​Trapezoid PPT, Part 4: Consolidation Practice

1. The two pieces of glass on the side of a car are trapezoidal in shape (as shown below). What are their areas?

S＝（a＋b）h÷2

=(40＋71)×40÷2

=111×40÷2

=2220(cm2)

S＝（a＋b）h÷2

=(45+65)×40÷2

=110×40÷2

=2200(cm2)

2. Find suitable conditions and find the area of ​​the colored trapezoid in the picture below. (Unit: cm)

(12+18)×9÷2=135(cm2)

(5+5-2.3)×3.4÷2=13.09 (cm2)

Area of ​​Trapezoid PPT, Part 5: Class Summary

1. When deriving the area formula of a trapezoid, we can derive it by converting the trapezoid into the graphics we have learned.

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

3. Express it with letters: S＝（a＋b）×h÷2

Keywords: Free download of PPT courseware for fifth grade mathematics from the People's Education Press, PPT download of the area of ​​a trapezoid, PPT download of the area of ​​a polygon, .PPT format;

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.

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

"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..

"Area of ​​Trapezoid" Area of ​​Polygon PPT Free Courseware:

"Area of ​​Trapezoid" Free PPT Courseware on Area of ​​Polygon Part One: Exploring New Knowledge You can convert trapezoids into previously learned graphics. Compare the relationship between graphs before and after conversion. Thinking: 1. What is the relationship between the base of the parallelogram and the base of the trapezoid? (..

"Area of ​​Trapezoid" Area of ​​Polygon PPT courseware download:

"Area of ​​Trapezoid" Area of ​​Polygon PPT courseware download Part One: Classroom Introduction 1. Understand and master the formula for calculating the area of ​​a trapezoid, and be able to correctly apply the formula for calculation. 2. Through operations, cultivate everyone’s ability to transfer analogies and abstract generalizations. ..

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Update Time: 2024-10-20

This template belongs to Mathematics courseware People's Education Press Fifth Grade Mathematics Volume 1 industry PPT template

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