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Math

Operate with Fractions

Topics

Understand decomposing into more equal shares create smaller shares

Explain that breaking a whole into more equal shares results in smaller share sizes.

Age Group: Elementary

Generate visual proportions to represent fractions

Draw a circle and slice it to show fractions, ensuring each slice's area matches the fraction's proportion of the whole.

Age Group: Elementary

Generate simple equivalent fractions e.g. 1/2 = 2/4, 4/6 = 2/3, 3 = 3/1; 6/1 = 6; 4/4 = 1

Identify and create equivalent fractions that represent the same value, such as 1/2 = 2/4 or 4/4 = 1.

Age Group: Elementary

Compare two fractions with the same numerator or the same denominator

Compare fractions by examining numerators for the same denominators or comparing denominators for the same numerators; larger numerators or smaller denominators indicate larger fractions.

Age Group: Elementary

Description

The topic “Operate with Fractions” deepens children’s understanding of fractions through various mathematical concepts and relationships. They will learn that decomposing a whole into more equal shares results in smaller share sizes, fostering an intuitive grasp of how fraction sizes relate to the number of parts. This understanding is reinforced as they generate visual proportions to represent fractions, such as drawing circles and slicing them to ensure that each slice’s area accurately reflects its fraction of the whole. Children will also explore equivalent fractions, learning to identify and create fractions that represent the same value, such as recognizing that 1/2 equals 2/4. This concept helps them understand the flexibility of fractions and how they can be represented in different forms. Additionally, they will learn to compare two fractions, gaining insights into how to evaluate fractions with the same numerator or denominator. By examining numerators when the denominators are the same or vice versa, they develop the ability to determine which fraction is larger based on the values. This comprehensive understanding of operating with fractions prepares children for more advanced mathematical concepts and promotes their confidence in working with fractions in various contexts.