This series of 22 videos provides brief instructional examples for supporting students who need intensive instruction in the area of fractions. Within college- and career-ready standards fractions are typically taught in Grades 3-5. Computation of fractions covers skills focused on building fractions from unit fractions—applying and extending operations of whole numbers. These videos may be used as these concepts are introduced, or with students in higher grade levels who continue to struggle with the concepts. Special education teachers, math interventionists, and others working with struggling students may find these videos helpful. Review of Fraction Vocabulary Adding Fractions with Like Denominators: An example with 1/8
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In Module 7 of the Intensive Intervention in Mathematics Course Content we focus on rational number concepts and computation. In Modules 4 and 5, we emphasized important instructional delivery methods and strategies to include when providing instruction within intensive intervention. Modules 6 and 7 focus on important concepts and procedures for whole numbers (Module 6) and rational numbers (Module 7) teachers may find important for being able to explain mathematics to students.
In this video, Dr. Sharon Vaughn, Senior Advisor to the National Center on Intensive Intervention and the Executive Director of The Meadows Center for Preventing Educational Risk, discusses intensive academic interventions and supplies up to date information about the status of research studies on the subject.
In this video, Amy McKenna, a special educator in Bristol Warren Regional School District shares her experience with data-based individualization (DBI). Amy discusses how she learned about DBI, the impact her use of the DBI process had on students she worked with, and how DBI helped changed her practice as a special educator.
Intensive Intervention in Reading Course: Module 6 Overview This module provides strategies on how to adapt word reading instruction to improve instructional modeling, student practice, and approaches to giving feedback. This module is divided into three parts with an introduction. A 508 compliant version of the full PowerPoint presentation across all parts of the module, a version of the PowerPoint that includes all the animations, and a workbook is available below.
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 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 shows how to use the set model to represent the fraction 3/4 with two-colored counting chips and clips. 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 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.
In Module 6 of the Intensive Intervention in Mathematics Course Content we focus on whole number concepts and computation. In Modules 4 and 5, we emphasized important instructional delivery methods and strategies to include when providing instruction within intensive intervention. Modules 6 and 7 focus on important concepts and procedures for whole numbers (Module 6) and rational numbers (Module 7) teachers may find important for being able to explain mathematics to students.