This series of videos provides brief instructional examples for supporting students who need intensive instruction in the area of basic facts. Within college- and career-ready standards basic facts are taught in Kindergarten through Grade 4. These videos may be used as each concept is 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.
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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.
This video demonstrates how to use base-10 blocks and a place value chart to help students add numbers that require regrouping.
This video illustrates the use of manipulatives to help students practice comparing quantities that are grouped as tens and ones. When numbers are represented with manipulatives organized as tens and ones, students develop a concrete understanding for using place value to comparing quantities. Students also benefit from multiple opportunities to talk about mathematics and use appropriate mathematics vocabulary such as “greater than” and “less than.”
This video illustrates the use of manipulatives to help students develop understanding of the base-10 system.
This video shows how manipulatives can be used to explain subtraction using a part-part-whole structure.
This video illustrates the use of finger counting to count by tens and ones.
This video illustrates the use of an efficient counting on strategy that students may practice to solve simple subtraction problems without the use of manipulatives.
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 shows how manipulatives can be used to explain division problems that have a fair-share or equal partition problem structure. This example demonstrates how manipulatives can be used to show how repeated subtraction (i.e., when the whole is decreased iteratively by equal sets) can be used in division to determine the size of the equal set. When students have many practice opportunities to solve division problems with strategies such as repeated subtraction, they develop a solid conceptual understanding that division represents partitioning a quality into groups of equivalent sets.