This video demonstrates how to use fraction circles to help students compare the value of several fractions with different numerators and denominators. The use of direct modeling with concrete manipulatives, such as fractions circles, allows students to develop conceptual understanding of fractions before they attempt to compare fractions without concrete manipulatives or pictorial representations. After students have had multiple opportunities to practice comparing fractions with concrete manipulatives, they may be ready to use other strategies such as mental images and reasoning strategies.
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This video demonstrates how to use different types of concrete manipulatives, such as fraction circles and Cuisenaire Rods, to compare fractions with like denominators. When students use models to compare fractions, they can place them side-by-side to determine which fraction represents a greater value. For students who struggle with visually comparing values, consider teaching them how to stack Cuisenaire Rods for a direct comparison. Note that, in this video with the fraction circles, the sets of fractions circles are not the same size. This may confuse some students, so it may be important to use identical sets of fraction circles.
This Voices from the Field piece highlights how North Carolina, Oregon, Washington, and Texas have raised awareness, visibility, and statewide knowledge of data-based individualization (DBI) at statewide conferences through keynote speakers, workshops, breakout sessions, and facilitated team time.
This video demonstrates how to use fraction circles to add fractions with unlike denominators. After a teacher models how to appropriately use fraction circles to solve addition problems, students can use the tools to explore fractions with guided and independent practice.
This video demonstrates how to use fraction tiles to explore how fractions such as 4/4 are equivalent to 1. Before fractions are introduced in the curriculum, students use integers, which only have one value associated with the numeral or number word. Fractions may be the first time that students are introduced to the possibility that the same quantity can be represented with different representations, such as one whole and four fourths. Using models allows students to practice finding equivalent fractions, which is a prerequisite skill for performing computation with fractions.