"Problem Solving" Area of ​​Polygon PPT Courseware

Description

"Problem Solving" Area of ​​Polygon PPT Courseware

teaching objectives

1. Combined with specific examples, experience the process of comprehensively applying knowledge to solve practical problems.

2. Be able to flexibly use the knowledge learned to solve practical problems related to the area of ​​triangles, and gain experience and methods for solving simple practical problems.

3. Experience the process of communicating algorithms with others, be willing to discuss mathematical problems, and feel the reality of mathematical operations in solving problems.

Explore new knowledge

There are two pieces of white cloth, use them to make a triangular bandage for hospital dressing (cannot be spliced).

The first piece of white cloth: 135 decimeters long and 9 decimeters wide.

The second piece of white cloth: 140 decimeters long and 10 decimeters wide.

(1) How many such triangular towels can be made from the first piece of white cloth?

Area of ​​white cloth: 135×9=1215 (square decimeters)

The area of ​​the triangle towel: 9×9÷2=40.5 (square decimeters)

The number of pieces of triangle towel that can be made from the first piece of white cloth: 1215÷40.5=30 (pieces)

Answer: The first piece of white cloth can make 30 such triangular towels.

(2) How many triangle towels can be made from the second piece of white cloth?

140×10=1400 (square decimeters)

9×9÷2=40.5 (square decimeter)

1400÷40.5≈34 (blocks)

practice

1. Congcong’s family wants to buy a triangular piece of glass, which requires its base to be 12 decimeters and its height to be 8 decimeters.

(1) What is the area of ​​this triangular piece of glass?

12×8÷2=48 (square decimeters)

Answer: The area of ​​this triangular piece of glass is 48 square decimeters.

(2) If the price of glass per square meter is 150 yuan, how much yuan does the Congcong family need to buy this piece of glass?

48 square decimeters = 0.48 square meters

0.48×150=72 (yuan)

Answer: It costs 72 yuan for Congcong’s family to buy this piece of glass.

2. There is a triangular steel plate with a base of 5 meters and a height of 4.2 meters.

(1) What is the area of ​​this steel plate in square meters?

5×4.2÷2＝10.5 (square meters)

Answer: The area of ​​this steel plate is 10.5 square meters.

(2) Estimate the approximate weight of this steel plate.

3. A triangular piece of land has a base of 421 meters and a height of 58 meters. Estimate its approximate area in square meters.

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Update Time: 2024-10-05

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

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