Flash Cards
1/19
What does proportionality mean?
Proportionality refers to the relationship where two quantities change by the same factor. If they do, they are said to be proportional.
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2/19
How is a ratio represented?
A ratio is represented using the notation a : b, which indicates the relationship between two quantities a and b.
3/19
Give an example of a proportional relationship.
An example is mixing rice and urad dal in a ratio of 2:1. If two quantities change maintaining this ratio, they are proportional.
4/19
What is the cross multiplication method for ratios?
To check if ratios a:b and c:d are proportional, apply a × d = b × c. If true, the ratios are proportional.
5/19
How can you confirm if 6:3 and 4:2 are proportional?
Using cross multiplication: 6 × 2 = 12 and 3 × 4 = 12. Since both products equal, the ratios are proportional.
6/19
What are proportional ratios?
Two ratios a:b and c:d are proportional if a/c = b/d.
7/19
Where can we find proportional relationships in real life?
Proportional relationships are found in recipes, scaling measurements, and speed calculations.
8/19
Are 1:2 and 2:3 proportional?
No, because 1 × 3 ≠ 2 × 2; thus, 1:2 and 2:3 are not proportional.
9/19
How do different mixtures affect taste?
If two mixtures maintain the same proportion of ingredients, like rice to dal, the taste will likely be similar.
10/19
What is a common mistake when dealing with ratios?
A common mistake is assuming that different ratios like 3:1 and 6:2 are not proportional, when they actually are.
11/19
What is the difference between ratio and proportion?
A ratio is a comparison of two quantities, while proportion states that two ratios are equal.
12/19
What is the formula to check proportions?
The formula is a × d = b × c for ratios a:b and c:d to confirm proportionality.
13/19
What is a unit rate?
A unit rate compares a quantity to a single unit, such as miles per hour or cost per item.
14/19
How does scaling relate to proportionality?
When quantities are scaled up or down by the same factor, they remain proportional.
15/19
What is inverse proportionality?
Inverse proportionality occurs when one quantity increases while the other decreases, maintaining a constant product.
16/19
How do proportional relationships appear on a graph?
They appear as a straight line passing through the origin, indicating a constant ratio.
17/19
What are examples of common ratios in cooking?
Common ratios include 3:1 for rice to water and 1:2 for flour to sugar in baking.
18/19
What is direct variation?
Direct variation indicates that as one quantity increases, the other quantity increases proportionally.
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What is a scale factor?
A scale factor describes how much a figure is enlarged or reduced, maintaining proportionality in dimensions.
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