This video demonstrates how to use base-10 blocks and a place value chart to help students add numbers that require regrouping.
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This module was adapted from a series of training modules developed by the National Center on Intensive Intervention (NCII) and is aimed at district or school teams involved in the initial planning for using data-based individualization (DBI) as a framework for providing intensive intervention in academics and behavior. The audience for this module may include school teams supporting academic intervention and progress monitoring in middle school mathematics.
This video demonstrates two subtraction problem structures that students must understand to master basic facts. Each problem structure has three numbers, with one number missing.
This video describes how to use the partial differences strategy to solve multi-digit subtraction.
This video uses manipulatives to review the five counting principles including stable order, correspondence, cardinality, abstraction, and order irrelevance.
NCII partnered with Project STAIR (Supporting Teaching of Algebra: Individual Readiness) to host a series of three webinars focused on implementing data-based individualization (DBI) with a focus on mathematics during COVID-19 restrictions.
In this webinar, Dr. Sarah Powell an Associate Professor in the Department of Special Education at the University of Texas at Austin highlights freely available tools and resources that can help educators consider a scope and sequence for math skills, assessment and intervention practices, instructional delivery, concepts and procedures for whole and rational numbers, intensification considerations, and more. The webinar reviews the content available from the Intensive Intervention Math Course Content. The course content consists of eight modules covering a range of math related topics. Each module includes video lessons, activities, knowledge checks, practice-based opportunities, coaching materials and other resources.
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.
This video demonstrates how to use the set model to convert mixed numbers to improper fractions. It is important that students are exposed to converting fractions using this model because it is often how fractions are represented in the real world. Beginners and students who struggle may find the set model difficult to understand because the whole (1) is represented by a set of chips (4 chips in this example); therefore, students will benefit from explicit modeling and several opportunities to engage in guided and independent practice.
This video demonstrates different partitioning strategies that students can use to multiply fractions. Partitioning refers to dividing a shape, such as a rectangle, into equal pieces. In area models and length models, the total number of equally partitioned pieces represents the denominator of the product. Students can practice multiplying nonequivalent fractions using an area model without concrete materials, such as by creating a grid using paper and pencil, or with concrete materials such as fraction grids. Students should also have the opportunity to practice multiplication using fraction tiles and length model.