"I'm Getting Fat" PPT courseware on linear equations of one variable

Description

"I'm Getting Fat" PPT courseware on linear equations of one variable

Our goal:

1. Analyze the "equivalent relationships" in practical problems and establish equations to solve practical problems.

2. Master the general process of using equations to solve practical problems.

think

1. When pouring water from a taller glass into a shorter glass, the volume of water remains unchanged.

2. Shape a piece of plasticine from a tall and thin cylinder into a short and fat cylinder. What changes is the base radius and height, but what remains unchanged is the volume of the plasticine.

3. Wrap a 12cm long string into a 3cm long square, and then change it into a 4cm long and 2cm wide rectangle. The length of the string remains unchanged.

example

Example: Use an iron wire 10 meters long to form a rectangle.

(1) If the length of the rectangle is 1.4 meters longer than the width, what are the length and width of the rectangle? What is the area?

(2) If the length of the rectangle is 0.8 meters longer than the width, how many meters are the length and width of the rectangle? How does the area change compared to the rectangle enclosed by (1)?

(3) Make the length and width of the rectangle equal, that is, form a square. At this time, how many meters are the side lengths of the square? What changes does the enclosed area have compared with the area enclosed by (2)?

Expand your thinking

If a rectangular iron block with a length, width and height of 5cm, 3cm and 3cm is immersed in a cylindrical glass (containing water) with a radius of 4cm, how much will the water surface increase? (no spillage)

Equality relationship: increased volume of water surface = volume of cuboid

summary

1. The key to formulating equations is to correctly find the equivalence relationship.

2. Volume before forging = volume after forging

3. When the length of a line segment is constant, no matter what shape it forms, the perimeter remains unchanged.

4. When the perimeter of a rectangle remains unchanged, the area will be the largest if and only if the length and width are equal.

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"I'm Getting Fat" PPT Courseware 2 of Linear Equations of One Variable:

"I'm Getting Fat" PPT Courseware 2 on Linear Equations of One Variable. What changes does the plasticine in the teacher's hand change before and after pressing with his hands? Have you found an equality relationship? Can you tell everyone in your own words? 1. Got fatter and shorter. (i.e. height and base radius happen..

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Update Time: 2024-08-08

This template belongs to Mathematics courseware Beijing Normal University seventh grade first volume mathematics industry PPT template

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