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"The Invariant Law of Quotient" PPT courseware for dividing three-digit numbers by two-digit numbers
teaching objectives
1. In mathematical activities such as observation and discussion, experience the process of exploring and summarizing the invariant laws of quotient.
2. Understand the law of constant quotient and be able to use the law of constant quotient to make simple calculations.
3. Actively participate in mathematical activities, experience the process of exploring mathematical laws, and gain preliminary experience in mathematical activities.
Observe the dividend, divisor and quotient of several calculations in each group below.
(1) 6÷2＝3 (2) 800÷40＝20
60÷20＝3 400÷20＝20
120÷40＝3 200÷10＝20
240÷80＝3 80÷4＝20
unchanged (the dividend and divisor are multiplied by 10 at the same time)
unchanged (the dividend and divisor are multiplied by 2 at the same time)
unchanged (the dividend and divisor are multiplied by 2 at the same time)
Discover: The dividend and divisor are multiplied by the same non-zero number at the same time, and the quotient remains unchanged.
unchanged (the dividend and divisor are multiplied by 10 at the same time)
unchanged (the dividend and divisor are divided by 2 at the same time)
unchanged (the dividend and divisor are divided by 2 at the same time)
Discover: The dividend and divisor are divided or multiplied by the same non-zero number at the same time, and the quotient remains unchanged.
How do the dividend and divisor change?
In division, the dividend and divisor are multiplied (or divided) by the same number (except 0) at the same time, and the quotient remains unchanged.
practice
1. Is the following calculation correct? Tell us the reasons for your judgment.
2. Directly write the results of the following questions and check them with a calculator.
(1) 48÷4＝ (2) 3600÷60＝
240÷20＝ 1800÷30＝
480÷40＝ 360÷6＝
4800÷400＝ 900÷15＝
3. Calculate the following questions, if you can do it verbally, do so.
420÷20＝ 960÷30＝
480÷40＝ 660÷60＝
850÷50＝
840÷70＝
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