Math is an important part of everyday life, and it’s never too early to start learning. One of the fundamental concepts in math is solving proportional relationships between two quantities. In this article, we will explain this concept in a way that is easy for kids to understand.
A proportional relationship between two quantities means that the ratio of the two quantities remains constant. For example, if you have a bag of candy that contains 20 pieces, and you know that every 10 pieces of candy is equal to $5, then you can say that the proportional relationship between the number of candies and the cost is 10:$5.
To solve a proportional relationship between two quantities, we need to find the missing value. For example, if we know that the ratio of the number of candies to the cost is 10:$5, and we have 30 pieces of candy, we can find the cost by multiplying the number of candies by the ratio. In this case, the cost would be $15 (30 pieces of candy x $0.5 per 10 pieces).
Another example of a proportional relationship is the relationship between height and weight. It’s commonly known that taller people generally weigh more than shorter people. This means that there is a proportional relationship between height and weight. To find the missing value in this relationship, we can use a proportion. For example, if a person is 6 feet tall and weighs 180 pounds, we can find the weight of another person who is 5 feet tall by setting up a proportion:
6 feet/180 pounds = x feet/y pounds
Solving for y, we find that a person who is 5 feet tall would weigh 150 pounds (5 feet x 30 pounds per foot = 150 pounds).
Pie graphs are a useful tool for visualizing proportional relationships. A pie graph shows the proportion of different parts of a whole. For example, if you want to show the proportion of different types of candy in a bag, you can create a pie graph. Each slice of the pie graph represents a different type of candy, and the size of the slice shows the proportion of that type of candy in the bag.
In conclusion, solving proportional relationships between two quantities is an important part of math and is used in many everyday situations. Understanding this concept can help kids develop critical thinking skills and make sense of the world around them. Whether it’s figuring out the cost of candy, determining the weight of a person, or visualizing the proportion of different parts of a whole, kids will find this concept useful in their lives.
Year Seven Math Worksheet for Kids – Solving Proportional Relationships Between Two Quantities
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