"Basic Properties of Fractions" PPT courseware on the meaning and properties of fractions

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"Basic Properties of Fractions" PPT courseware on the meaning and properties of fractions

1. Perceive the equality of scores in multiple situations

1. Perceive the equality of fractions in origami.

(1) Show 3 square pieces of paper of equal size.

(2) Please fold these three pieces of paper, divide them into 2, 4, and 8 parts equally, and color them to indicate 1/2, 2/4, and 4/8 respectively.

2. Mark fractions on the straight line and perceive the equality of fractions.

(1) What is the relationship between such a set of equal fractions 1/3, 2/6, and 4/12?

(2) Requirement: There is a straight line on the question paper. Can you express these three scores on the straight line? See what you can find? Try to write down your findings yourself.

2. Explore the rules and abstractly summarize the properties of fractions

1. Observe equations and explore patterns.

(1) Observe these sets of equations on the blackboard. The numerator and denominator of the fraction in the equation have changed, but the size of the fraction has not changed. Is there any pattern here?

(2) Ask each group to choose any one of these 4 sets of scores. Study how to change the numerator and denominator so that the size of the fraction remains unchanged. Draw and mark.

(3) Report and communicate after group cooperation and exploration. If the numerator and denominator of a fraction are multiplied or divided by the same number, the magnitude of the fraction remains unchanged.

2. Question and perfect the rules.

(1) Do you have any questions or anything to add to your classmates’ conclusions?

Question: ① Multiply or divide ② the same number at the same time ③ Except for 0 (a number divided by 0 is meaningless. The denominator is equivalent to the divisor, so the denominator cannot be 0. Because the denominator becomes 0 after multiplying by 0, it is meaningless, Therefore, "except 0" must be specified.)

(2) Summarize the basic properties of fractions.

(3) Please talk to your classmates about the basic properties of fractions.

3. Communicate the connection between the properties of fractions and the invariant properties of quotients.

(1) What knowledge can you associate with what you have learned before? what are you thinking? Can you give me an example?

①The property of constant quotient. Because fractions and division are closely related.

②The basic property of a fraction is that if the numerator and denominator of the fraction are multiplied or divided by the same number (except 0), the size of the fraction remains unchanged.

③The property that the quotient remains unchanged is that if the dividend and divisor are multiplied or divided by the same number (except 0) at the same time, the quotient remains unchanged.

4. Summary and questioning

Today we studied the basic properties of fractions. Still have questions about the basic properties of fractions?

5. Homework arrangement

Homework: Exercise 14 on page 58, questions 4 and 6.

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Update Time: 2024-11-01

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