This video demonstrates how to use fraction tiles to add fractions with unlike denominators. Teachers should model how to find like denominators to solve addition problems and students who struggle may benefit from using a multiples chart. Students should also have many opportunities adding fractions that have a sum equal to or greater than 1.
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This video demonstrates how to use fraction tiles to add fractions with unlike denominators. Teachers should model how to find like denominators to solve addition problems and students who struggle may benefit from using a multiples chart.
This video reviews key vocabulary related to fractions. It is important that teachers model the use of precise mathematical language so that students understand how to use correct vocabulary and can accurately communicate their ideas and solutions strategies related to fractions.
This video demonstrates how to use benchmark fractions, such as ½, to compare fractions with unlike denominators. When students show that they are proficient comparing fractions using concrete manipulatives or pictorial representations, they may be ready to compare fractions using reasoning strategies without representations. For beginners and for students who struggle, it may also be important for teachers to model to students how to check their work using other tools, such as fraction tiles.
This video demonstrates how to use fraction tiles to explore how different fractions can be equivalent to the same value, such as 1/2. This video models how to compare different fractions that are equivalent to 1/2 to the benchmark of 1. Students who struggle with finding equivalent fractions can stack the fraction tiles above the whole (1) as an anchor. It is important for students to understand that fractions have multiple representations because they can apply this knowledge to compare fractions, especially fractions with unlike denominators.
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.
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 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.