"The Generation of Fractions and the Meaning of Fractions" PPT courseware on the meaning and nature of fractions

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"The Generation of Fractions and the Meaning of Fractions" PPT courseware on the meaning and nature of fractions

1. Use the average score of a single object to arouse students’ original cognition and experience the generation of scores again.

(1) Arouse students’ original cognition

(2) Generation of scores

1. How do you think fractions are generated?

2. Summary: When measuring, dividing objects or calculating, it is often not possible to obtain an exact integer result. In this case, fractions are often used to express the results.

2. Understand the meaning of the unit “1” and clarify the meaning of fractions through independent inquiry

(1) Understand the meaning of fractions in simple situations

1. Show pictures of 3 cars and 8 apples.

2. Can you use learning tools to divide them into points and get a score? (Hands-on operation, group communication)

3. Discussion around 3 cars.

①What does the ( ) you get mean? How many cars are there in ( ) among 3 cars?

②How did you get that ( )? How many cars are there in ( ) among 3 cars?

③What does ( ) mean? How many ( ) are there in ( )? How many cars does it mean?

④ Consider the 3 cars as a whole and divide them into 3 equal parts. What is this whole?

3. Understand the meaning of denominators, numerators and fractional units through observation and discussion

(1) The meaning of denominator and numerator

1. Observe the denominator of the fraction on the blackboard. What do you find?

①The denominators are different. ②Both represent the number of equal parts divided into units "1".

2. Observe the fractions of molecules on the blackboard. What do you find?

3. Who can tell us in concise language what the numerator and denominator mean?

(2) Reveal the meaning of fractional units

1. Which fractions on the blackboard represent one portion?

2. We already know that this part is very important. Each fraction is composed of several parts, and this part is called the fraction unit of the fraction.

4. Comprehensive use to consolidate the meaning of scores

1. Read out the following fractions and explain their specific meanings.

2. Exercises. Divide this box of chocolates equally among 5 students. Each piece of chocolate is ( ) of this box of chocolates. Each person gets ( ) piece, and each person gets ( ) of this box of chocolates.

3. Guess who has more carrots.

5. Guess the fraction and feel the mathematics culture

1. Ancient Egyptian fraction symbols.

2. Question: The fractions we see today evolved over a long period of time. They were the fractions used by the ancient Egyptians more than 3,000 years ago. Please guess what fraction this is? what about this?

3. Introduction: More than 2,000 years ago, we in China used arithmetic chips to express fractions. Later, Indians used Arabic numerals to express fractions, but there was no fractional line at that time. It was not until the 12th century AD that the Arabs invented the fractional line. This method of expressing fractions using numerators, denominators, and fraction lines is still used today.

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Update Time: 2024-10-05

This template belongs to Mathematics courseware People's Education Press fifth grade mathematics volume 2 industry PPT template

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