"Basic Properties of Proportion" Proportion PPT

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"Basic Properties of Proportion" Proportion PPT

Part One: Learning Objectives

1. Understand the basic properties of proportion and recognize the names of each part of proportion. (emphasis)

2. Can correctly judge whether two ratios can form a proportion based on the basic properties of proportion. (difficulty)

Basic properties of proportion PPT, part 2: review introduction

Fill it out.

3: 4= ( ): 12=15: ( )

60：36=30：（ ）=（ ）：6

The basic properties of ratio: If the first and last terms of a ratio are multiplied or divided by the same number (except 0) at the same time, the ratios will be equal.

Basic properties of proportion PPT, part three: exploring new knowledge

Knowledge points: the names of each part of the proportion and the basic properties of the proportion

The four numbers that make up the proportion are called the terms of the proportion.

The two terms at both ends are called the external terms of the ratio,

The two middle terms are called the inner terms of the proportion.

Calculate the product of the two external terms and the product of the two internal terms in the following ratio. Compare, what can you find?

(1)2.4:1.6=60:40

The product of external terms is: 2.4×40=96

The product of the inner term is: 1.6×60=96

In a ratio, the product of two external terms is equal to the product of two internal terms. This is called the fundamental property of proportion.

Knowledge refining

1. The four numbers that make up a ratio are called the terms of the ratio. The two numbers at both ends are called the outer terms of the ratio, and the two numbers in the middle are called the inner terms of the ratio.

2. In proportion, the product of two external terms is equal to the product of two internal terms. This is called the basic property of proportion. Represented by letters:

(1) If a∶b＝c∶d, then ad＝bc.

(2) If a/b=c/d (b, d≠0), then ad=bc.

Basic properties of proportion PPT, Part 4: Consolidation exercises

1. Uncle Li contracted two rice fields with an area of ​​0.5 hectares and 0.8 hectares respectively. During the autumn harvest, the yields of the two rice fields were 3.75 t and 6 t respectively.

(1) Can the ratio of the output and area of ​​two rice fields be proportioned?

The ratio can be formed, 3.75:0.5=6:0.8

(2) If a ratio can be formed, indicate the inner and outer terms of the ratio.

0.5 and 6 are internal terms, and 3.75 and 0.8 are external terms.

2. Apply the basic properties of proportion to determine which of the following two ratios can form a proportion.

(1) 6:9 and 9:12 (2) 1.4:2 and 28:40

Basic properties of proportion PPT, Part 5: Class summary

What knowledge have you learned in this class?

1. The four numbers that make up a ratio are called the terms of the ratio. The two numbers at both ends are called the outer terms of the ratio, and the two numbers in the middle are called the inner terms of the ratio.

2. In proportion, the product of two external terms is equal to the product of two internal terms. This is called the basic property of proportion. Represented by letters:

(1) If a∶b＝c∶d, then ad＝bc.

(2) If a/b=c/d (b, d≠0), then ad=bc.

Basic properties of proportion PPT, Part 6 content: Class summary

Assignment 1: Preview the next lesson.

Assignment 2: Complete the exercises corresponding to the detailed explanations in the textbook.

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Update Time: 2024-10-02

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