This video demonstrates how students can practice determining equivalent fractions with different denominators using fraction circles. Students can explore this concept by comparing different representations of the same value against a whole fraction circle. After students have found one representation of the same fraction (3/6), teachers can encourage students to find another representation (4/8). Teachers can then ask students to discuss the patterns that they see in the different representations of the same value.
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This video demonstrates how students can practice finding equivalent fractions with different denominators using fraction tiles. Students can explore this concept by stacking fraction tiles to determine the multiple representations of the same value, such as 1/2. Once students have found one representation of the same fraction (4/8), teachers can encourage students to find another representation (3/6). Teachers can then ask students to discuss the patterns that they see in the different representations of the same value.
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 shows how to use the set model to represent fractions, such as 1/2. In the set model, the whole is represented by a set of objects, such as two-colored chips. Individual chips within the set, represent the fractional parts. It is important that students be exposed to the set model because fractions in real-world settings are often represented this way.
This video demonstrates how to use fraction circles to compare the value of fractions with unlike denominators. This example compares 5/6 and 5/8. In this example students can see that 5/6 is greater than 5/8. This will help them understand that although 8 is larger than 6, sixths are larger than eighths in fractions. Using fractions circles allows students to develop a solid conceptual understanding of how to compare fractions correctly.
This video demonstrates how to use fraction tiles to explore how different fractions can be equivalent to the same value, such as 1/2. 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. For example, students can use the benchmark of 1/2 to determine that 1/4 is less than 4/6 by knowing that the equivalent fractions of 1/2 include 2/4 and 3/6.
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.
This video demonstrates how to use fraction tiles to explore how different fractions can be equivalent to the same value, such as 1/5 and 2/10. It is important for students to understand that fractions have multiple representations because they can apply this knowledge to compare fractions, find common denominators, and perform computation with fractions.
This video illustrates the use of manipulatives to help students practice counting skills such as correspondence and cardinality. When students practice counting with manipulatives they learn to recognize that number names are stated in a standard order, each number word is paired with one and only one object, and the last number stated in the sequence tells the number of total objects counted in the set. It is important for students to master skills such as correspondence and cardinality, because a strong foundation in counting is necessary for students to learn other skills such as number relations.
This video demonstrates how to use fraction tiles and the set model to convert mixed numbers to improper fractions. It is important that students have the opportunity to convert fractions using both models of representation.