"Reciprocal" Fraction Multiplication PPT

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"Reciprocal" Fraction Multiplication PPT

Part One: Learning Objectives

1. Enable students to understand the meaning of reciprocals, master the method of calculating reciprocals, and be able to calculate reciprocals correctly and skillfully.

2. Further cultivate students' independent learning ability and improve students' ability to observe, compare, summarize and cooperate in learning.

3. Improve students’ interest in learning mathematics and develop students’ questioning habits.

[Key Points] Master the method of calculating reciprocals and be able to calculate reciprocals correctly and skillfully to further cultivate students' independent learning ability.

[Difficulty] Master the method of finding reciprocals, and be able to find reciprocals correctly and skillfully.

Countdown PPT, the second part: exploration of new knowledge

Do the math and tell me how you calculated it.

3/14 ×5 4/15 ×6 2/9 ×9

To multiply a fraction by an integer, use the product of the numerator of the fraction multiplied by the integer as the numerator. The denominator remains unchanged and the fraction can be reduced.

Think about it, what is the reciprocal of 1? Does any number have a reciprocal?

discuss:

⑴The reciprocal of 1 is ( ).

⑵ Does 0 count down? Why?

0 has no reciprocal because

①0 as the denominator is meaningless.

②0×(any number) ≠1

2/3 is the reciprocal, and 3/2 is also the reciprocal. Is this correct?

No, the reciprocal is for two numbers. You cannot say that a number is a reciprocal in isolation. It should be said that 2/3 is the reciprocal of 3/2, or 3/2 is the reciprocal of 2/3.

Countdown PPT, Part 3: Classroom Exercises

1. Connect two numbers that are reciprocal to each other.

2. Fill in the blanks.

(1) The two numbers in ( ) are reciprocals of each other.

(2) The reciprocal of 2/3 is ( ), the reciprocal of 7 is ( ), ( ) has no reciprocal, and the reciprocal of 1 is ( ).

(3) Comparing the reciprocal of 5 with the reciprocal of 10, the reciprocal of ( ) is greater than the reciprocal of ( ).

(4) When a=( ), the reciprocal of a is equal to the value of a.

(5) 1/2 × ( ) = ( ) × 7/18 = 1 × ( ) = 3 × ( ) = 1

3. Judgment. (Put “√” in the brackets if correct and “×” if incorrect)

(1) Any number has a reciprocal. ( )

(2) The reciprocal of an improper fraction is a proper fraction. ( )

(3) a is a natural number (except 0), and its reciprocal is 1/?. ( )

(4) Because 1/3+2/3 =1, 1/3 and 2/3 are reciprocals of each other. ( )

(5) The reciprocal of 1 is 1, and there is no reciprocal of 0. ( )

Countdown PPT, Part 4: Class Summary

1. Two numbers whose product is 1 are reciprocals of each other.

2. The reciprocal has two major characteristics:

First, the product of two numbers that are reciprocals of each other is 1;

Second, the positions of the numerator and denominator of these two numbers are reversed.

Countdown PPT, Part 5: Classwork

1. Honghong is 6 years old this year. Her father’s age is 180 times the reciprocal of Honghong’s age. How old is her father this year?

The reciprocal of 6 is 1/6

1/6×180= (1×180)/6 = 30 (years old)

Answer: Dad is 30 years old this year.

2. Tell which of the following two numbers are reciprocals of each other.

The reciprocal of 5/6 is ( ). The reciprocal of 1/12 is ( ).

The reciprocal of 5 is ( ). The reciprocal of 5/2 is ( ).

The reciprocal of 0.3 is ( ). The reciprocal of 1 is ().

3. Take a look and think about "1=?". Can you write different calculations?

1＝5 - 4 1＝1/3 + 2/3 1＝2/3 × 3/2

1＝1 ÷1 1＝0.5 +0.5

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For more information about the "Fraction Multiplication Reciprocal" PPT courseware, please click the Fraction Multiplication PPT Reciprocal PPT tab.

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Update Time: 2024-11-23

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