"Harvest Season" PPT Courseware 10

Description

"Harvest Season" PPT Courseware 10

teaching objectives

In this lesson, we mainly study the nature of the invariant quotient. Students must understand and master the law of the invariant quotient based on the actual example of monkeys dividing peaches, and be able to skillfully apply the law of the invariant quotient to solve practical problems.

monkey king points peach

Huaguo Mountain has beautiful scenery and pleasant climate, and a group of monkeys live there. One day, the Monkey King asked a little monkey to share the peaches. The Monkey King said: "I will give you 4 peaches, and divide them equally among the 2 monkeys." After hearing this, the little monkey shook his head and said: "Too few, too few." The Monkey King said again: "Okay, here you go. How about 40 peaches, divided equally among 20 monkeys?" The little monkey took advantage of it, scratched his scalp, and said tentatively: "Your Majesty, can you give me more?" The monkey king patted the table, showing his generosity. He said with a look like: "Okay, I'll give you 400 peaches and divide them equally among the 200 little monkeys. You should be satisfied, right?" The little monkey quickly said: "Okay, okay"! The Monkey King laughed loudly after hearing this.

Observe, compare and summarize:

Observed from top to bottom, according to what rules do the dividend and divisor change but the quotient remains unchanged?

Observed from bottom to top, according to what rules do the dividend and divisor change while the quotient remains unchanged?

If the dividend and divisor are multiplied or divided by the same number (except 0) at the same time, the quotient remains unchanged.

This is called the law of constant quotient.

A sharp eye distinguishes right from wrong:

(1) 360 ÷ 30 = (360 ÷ 10) ÷ (30 ÷ 10) ( )

(2) 4800÷400=48÷4 ( )

(3) 1500÷300=150÷3 ( )

(4) 280 ÷ 70 = (280 × 5) ÷ (70 ÷ 5) ( )

(5) 450 ÷ 25 = (450 × 2) ÷ (25 × 4) ( )

Observe carefully and calculate carefully:

72÷9= 36÷3= 80÷4=

720÷90= 360÷30= 800÷40=

7200÷900= 3600÷300= 8000÷400=

Find ideas to solve problems cleverly:

200÷25

=�200×4�÷�25×4�

=800÷100

=8

500÷25 700÷25

800÷50 400÷50

4000÷125 2000÷125

What did you gain?

Careful observation, careful comparison, bold conjecture, good summarization, practical verification, and flexible application will help us learn mathematics well, and they are also very good study habits.

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Update Time: 2024-09-06

This template belongs to Mathematics courseware Qingdao Edition Fourth Grade Mathematics Volume 1 industry PPT template

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