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"Direct Proportion" Proportion PPT Courseware 3
1. The following are the changes in the perimeter and side length, area and side length of the square. Complete the form.
Let’s talk about it: Are the changing rules of the perimeter and side length of a square the same as the changing rules of the area and side length?
Answer: The changing rules of the perimeter and side length of a square are different from the changing rules of the area and side length. The ratio of perimeter to side length is constant, but the ratio of area to side length is uncertain.
Observe the table above and discuss the following questions in groups:
(1) What two quantities are in the table?
(2) How does the distance change with time?
(3) What is the corresponding ratio of distance to time?
(4) What patterns did you find from the table?
So what should we look for to determine whether two quantities are directly proportional?
1. They are two related quantities. When one quantity changes, the other quantity also changes accordingly.
2. Their ratio (quotient) is certain (that is, unchanged).
Practice: Judge whether the two quantities in the following questions are directly proportional and explain the reasons.
(1) The mass of each bag of rice is certain, the total mass of rice and the number of bags.
(2) A person’s height and age.
(3) The width remains unchanged, the perimeter and length of the rectangle.
(4) A person's age and his weight.
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