"Direct Proportion and Inverse Proportion" PPT

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"Direct Proportion and Inverse Proportion" PPT

Part One: Problem Exploration

1. What is a proportional quantity? How should it be represented by letters?

Two related quantities. If one quantity changes, the other quantity will also change. If the ratio of the two corresponding numbers in the two quantities is constant, the two quantities are called directly proportional quantities. Their The relationship is called a direct proportional relationship.

If x and y are used to represent two related quantities, and the letter k is used to represent their ratio (certain), the direct proportional relationship can be expressed as:

2. What is an inversely proportional quantity? How should it be represented by letters?

For two related quantities, if one quantity changes, the other quantity will also change. If the product of the two corresponding numbers in the two quantities is constant, the two quantities are called inversely proportional quantities. Their The relationship is called an inverse proportional relationship.

If x and y are used to represent two related quantities, and the letter k is used to represent their product (certain), the inverse proportional relationship can be expressed as:

Direct proportion and inverse proportion PPT, part 2: Judgment application

Determine whether the two quantities in each question below are directly proportional or inversely proportional.

1. The unit price is certain, the quantity and total price are fixed.

proportional to

2. The distance is certain, the speed and time are certain.

inversely proportional

3． Area and side length of the square.

Disproportionate

4. The time is fixed, the work efficiency and the total amount of work are determined.

proportional to

Direct proportion and inverse proportion PPT, part 3: after-class exercises

1. Are the two quantities in the table below directly proportional or inversely proportional? Why?

1) When a small bottle of glucose is dropped evenly during infusion, the relationship between each drop and the time required is as follows:

2) The relationship between Xiao Ming’s height and weight is as follows:

3) The volume is constant, and the relationship between the base area and height of the cylinder is as follows:

2. Determine whether the two quantities in each question below are directly proportional or inversely proportional.

1) The oil yield is certain, and the quality of sesame oil is the same as the quality of sesame seeds.

2) A bundle of 100 meters of wire, the length used is the same as the difficulty of the remaining teahouse

3) The area of ​​a triangle is certain, its base area and height.

4) A number and its area.

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"Letter Expressions of Proportional and Inverse Proportions" PPT:

"Letter Expressions of Direct Proportion and Inverse Proportion" PPT Part One Content: Teaching Objectives 1. Combined with specific examples, go through the process of reviewing the definitions of direct and inverse proportion, discussing problems and summarizing mathematical expressions. 2. Be able to judge common quantitative relationships between three quantities in a certain quantity..

"Direct Proportion and Inverse Proportion" general review PPT courseware:

"Direct Proportion and Inverse Proportion" general review PPT courseware. First, give an example of what ratio is, what are the basic properties of ratio, and then talk about what practical problems can be solved with the knowledge of ratio. Fill in the following equation based on the relationship between ratio, fraction, and division, and talk about the basic properties of ratio and fraction...

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Update Time: 2024-10-02

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