The teacher gave 12 books a group of children and asked them to arrang...
Option 3: Multiples and factors
Explanation:
This activity helps children understand multiples and factors. The task involves arranging 12 books into different groups, where each group has the same number of books and no books are left over. This is related to finding the factors of 12, such as 1, 2, 3, 4, 6, and 12, and how 12 can be divided into equal groups without remainder, which is the core concept of multiples and factors.
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The teacher gave 12 books a group of children and asked them to arrang...
Understanding the Concept of Grouping
In this question, the teacher gave a group of children 12 books and asked them to arrange them in different groups under certain conditions. Let's analyze the conditions and understand the concept that this activity helps the children to grasp.
(A) Each group should have the same number of books:
This condition emphasizes the concept of division. The children need to divide the 12 books into equal groups, ensuring that each group has an equal number of books. By doing so, they are learning how to divide a given quantity into equal parts.
(B) No of books should be left over:
This condition introduces the concept of remainder. The children need to ensure that there are no books left over after arranging them into equal groups. They have to distribute the books in such a way that no book is left unused. This requirement helps them understand the concept of division without remainders.
(C) Each grouping should be different from the other:
This condition focuses on the concept of combinations and permutations. The children need to arrange the books into different groupings, meaning that each group should have a different combination of books. This requirement helps them understand that different arrangements of the same set of objects yield different results. It also introduces the concept of combinations and the idea that the order of objects does not matter.
Why Option 'C' (Multiples and Factors) is Incorrect:
Option 'C', which states that the activity helps children understand multiples and factors, is not the correct answer. Multiples are numbers that can be obtained by multiplying a given number by any whole number, while factors are numbers that divide a given number evenly. This activity does not directly involve finding multiples or factors of 12 books. Instead, it focuses on division, remainder, and combinations.
The Importance of the Activity:
This activity helps children develop critical thinking skills and enhances their understanding of basic mathematical concepts such as division, remainder, combinations, and permutations. It also encourages them to think creatively and find multiple solutions to a given problem. By engaging in this activity, children can strengthen their mathematical reasoning and problem-solving abilities.
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