"Basic Properties of Proportion" Ratio and Proportion PPT Courseware

Description

"Basic Properties of Proportion" Ratio and Proportion PPT Courseware

teaching objectives

1. Experience the process of independently exploring the basic properties of proportion and applying the properties to solve proportions.

2. Understand the basic properties of proportion and be able to use the basic properties of proportion to solve proportions.

3. In the process of exploring the basic properties of proportion and solving proportions, gain successful experience and build confidence in learning mathematics well.

In a ratio, the four numbers that make up the ratio are called the terms of the ratio. The two terms at the two ends are called the external terms of the ratio, and the two terms in the middle are called the internal terms of the ratio.

For example: 240:160=144:96

Multiply the two outer terms and the two inner terms in the above ratio. What do you find?

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.

To write a ratio in fractional form, the numerator and denominator on both sides of the equal sign are cross-multiplied and their products are equal.

Through the preview, students will talk about what is the solution of proportion?

According to the basic properties of proportions, if any three terms in a proportion are known, the other unknown term can be found.

Finding the unknown terms in a ratio is called solving the ratio.

practice

1. Solve the proportions.

2. At 10 a.m., six bamboo poles of different lengths were erected in the open space. The measured height of these bamboo poles and the length of the shadow are as follows:

(1) Write the ratio of the height of the bamboo pole to the length of the shadow and fill it in the table above.

(2) Write three ratios based on the above results.

1:0.5=2:1

6:3＝2:1

3:1.5=2:1

(3) Calculate, if the height of the bamboo pole is 3.5 meters, how many meters is the length of the shadow?

3.5÷2＝1.75 (meter)

3. Mom bought two pieces of floral cloth.

(1) Write down the ratio of the amount of money to buy two pieces of floral cloth to the number of meters of cloth, and see if these two ratios can form a proportion.

(2) How much yuan will it cost to buy a 5-meter-long floral cloth?

(3) How much does it cost to buy 7 meters of floral fabric?

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Update Time: 2024-10-13

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

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