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"Basic Properties of Proportion" Proportion PPT Courseware
1. Introduction to review
Can you write down several ratios where the ratio is 1.5? Give it a try!
2.4:1.6＝1.5
60:40＝1.5
4.5:3＝1.5
5.4:3.6＝1.5
Can you put them into proportion?
2. Explore new knowledge
(1) Understanding of various items of proportion
The four numbers that make up a proportion are called the terms of the proportion. 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.
(2) Basic properties of 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?
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.
3. Application of knowledge
(1) Do it
1. Apply the basic properties of proportion to determine which of the following two ratios can form a proportion.
Let’s use the basic properties of proportion to judge!
2. What is the internal term? How do you think?
(2) Solve problems
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 tons and 6 tons respectively.
4. Assign homework
Homework: Exercise 8 on page 43, questions 5, 6, and 7.
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