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.
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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 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 series of 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. Developing an understanding of fractions as numbers includes part/whole relationship, number on the number line, equivalent fractions, whole numbers as fractions, and comparing fractions 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.
Teams are a vital part of an effective multi-tiered system of supports (MTSS) across both academics and behavior as well as special education. Making connections across the across the various teams used in MTSS and special education can be challenging. This resource from NCII and the PBIS Center, provides information about how DBI can support IEP implementation and provides a table with key considerations for teams working across the MTSS system.
This training module demonstrates how academic progress monitoring fits into the Data-Based Individualization (DBI) process by (a) providing approaches and tools for academic progress monitoring and (b) showing how to use progress monitoring data to set ambitious goals, make instructional decisions, and plan programs for individual students with intensive needs.
This module discusses approaches to intensifying academic interventions for students with severe and persistent learning needs. The module describes how intensification fits into DBI process and introduces four categories of intensification practices. It uses examples to illustrate concepts and provides activities to support development of teams’ understanding of these practices, and how they might be used to design effective individualized programs for students with intensive needs.
The DBI Implementation Rubric and the DBI Implementation Interview are intended to support monitoring of school-level implementation of data-based individualization (DBI). The rubric is based on the structure of the Center on Response to Intervention’s Integrity Rubric and is aligned with the essential components of DBI and the infrastructure that is necessary for successful implementation in Grades K–6. It describes levels of implementation on a 1–5 scale across DBI components. The rubric is accompanied by the DBI Implementation Interview which includes guiding questions that may be used for a self-assessment or structured interview of a school’s DBI leadership team.