"Mathematics in Beer Production" PPT courseware 5

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"Mathematics in Beer Production" PPT courseware 5

Oral arithmetic exercises

① 480÷16= ② 4×46×25=

③ 7×99+7= ④ 57×98+57×2=

⑤ 1.2×0.6= ⑥1/3-1/4

⑦0.85 ÷ 0.5= ⑧3/8 ÷ 6=

⑨9.2-3.8= ⑩1700 ÷ 50 ÷ 2=

1. Situation introduction

Two shipments were made on the first day, totaling 16 tons.

The next day, 4 shipments were carried out, totaling 32 tons.

What is the ratio of transportation volume to transportation times?

How are they related?

What mathematical information do you know from the picture?

What questions can you ask based on this information?

2. Cooperation and exploration

What is the ratio between transportation volume and transportation times? What is their relationship?

The ratio of transportation volume to number of transportations on the first day:

The ratio of the transportation volume to the number of transportations on the next day:

The two ratios are equal and can be written as the following equation: 16:2=32:4

An expression that expresses the equality of two ratios is called a proportion. The four numbers that make up a proportion are called the terms of the proportion. The two terms at both ends are called the outer terms of the ratio, and the two items in the middle are called the inner terms of the ratio.

3. Independent practice

1. The propagation of sound in the air is as shown in the table below.

(1) Write the corresponding ratio of distance to time, find the ratio and compare the magnitude.

(2) Talk about the meaning of this ratio.

This ratio represents the speed of sound in air.

(3) Can the data in the table form a proportion? Please write down a few.

2. Among the following ratios, which two can form a proportion? Please write down the proportions of the composition.

14:20 =2.8:4

0.4:0.5 =2:2.5

3. There are two rectangles as shown in the picture. What proportions can you get from the picture?

50:20 =100:40 20:50 =40:100

50:100 =20:40 20:40 =50:100

40:20 =100:50 100:50 =40:20

100:40 =50:20 40:100 =20:50

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Update Time: 2024-09-29

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