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Authoritative PPT Summary
"Mathematics in Beer Production" PPT Courseware 4
1. Situation introduction
Three shipments were made on the first day, totaling 18 tons.
The next day, 5 shipments were carried out, totaling 30 tons.
What proportions can you write down?
What mathematical information do you know from the picture?
What questions can you ask when you see these proportions?
2. Cooperation and exploration
What proportions can you write down?
18:3=30:5 18:30=3:5
3:18=5:30 30:18=5:3
In a ratio, what is the relationship between the two external terms and the two internal terms?
Calculate the sum, difference, product, and quotient of two external terms and two internal terms respectively, and see what patterns can be discovered from them?
You can use "18:3=30:5" as an example to study, or you can use your own example to study.
The sum of two external terms and the sum of two internal terms:
1 8 : 3 = 30 : 5
Sum of two external terms: 18 + 5 = 23
Sum of two inner terms: 3 + 30 = 33
No pattern was found between the sum of two external terms and the sum of two internal terms.
3. Independent practice
1. In a ratio, both inner terms are prime numbers and their product is 10.
One external term is 4, what is the other external term?
10 ÷ 4 = 2.5
Answer: The other external term is 2.5.
2. Fill it out
(1) Use the four factors of 8 to form a proportion.
1:2 = 4:8 4:8 = 1:2
1:4 = 2:8 2:8 = 1:4
8:2 = 4:1 4:1 = 8:2
2:1 = 8:4 8:4 = 2:1
(2) Write two ratios whose ratio is 0.4 and form a proportion.
3. Can the following four numbers form a proportion? Please write down the proportions of the composition.
2:3=20:30 20:30=2:3
2:20=3:30 3:30=2:20
30:3=20:2 20:2=30:3
3:2=30:20 30:20=3:2
How to change the composition ratio?
How do you judge?
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