This series of videos provides brief instructional examples for supporting students who need intensive instruction in the area of place value computation. Within college- and career-ready standards place value is taught in Kindergarten through Grade 5. 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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This series of videos provides brief instructional examples for supporting students who need intensive instruction in the area of numeracy and counting. Within college- and career-ready standards numeracy and counting are taught in Pre-Kindergarten through Grade 1. 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.
This log can be used as a daily and weekly record of the implementation of an individual student’s intensive intervention plan. This information, along with progress monitoring graphs, can inform team intervention and data review meetings. You may choose to supplement the logs with additional items or more detailed intervention notes.
In this video, Derrick Bushon, Director of Student Services for Swartz Creek Community Schools, discusses how his district took a systems approach to integrating DBI into schools.
This video illustrates how to use the traditional addition algorithm with regrouping.
This video demonstrates how to use base-10 blocks and a place value chart to help students subtract multi-digit numbers that require regrouping.
This video describes how to use the partial sums strategy with addition. The problem in this video requires regrouping; however, the partial sums strategy eliminates the regrouping procedure. The partial sums strategy is typically performed left to right and focuses on adding only part of each multi-digit number at a time (e.g., only adding digits in the hundreds column to determine the partial sum of hundreds, followed by only adding digits in the tens column to determine the partial sum of tens, and so on). It may be especially important for students to know and understand the partial sums strategies if they have not yet developed an understanding for regrouping. This strategy is also efficient when all or most of the numbers have the same number of digits.
This video illustrates the use of manipulatives to help students practice number relations skills. When numbers are represented with manipulatives as sets, students develop a concrete understanding for comparing quantities. Students must possess a deep understanding of number relation skill including identifying more, less, and equal quantities prior to mastering higher-level skills such as number operations.
This video illustrates how to use the traditional algorithm to solve subtraction with regrouping. The traditional algorithm focuses on digit placement and requires that students move right to left to correctly perform the operation. Before students are introduced to the standard addition algorithm, it is important that they have a conceptual understanding of regrouping. This will allow students to correctly use the algorithm when they exchange 10 ones in the ones place value column with 1 ten in the tens place value column. It is important for students to know and understand how to use the traditional algorithm because it is an efficient strategy to use if regrouping is required, when numbers have varying numbers of digits, and when the numbers included are too large to reasonably use other strategies (e.g., partial differences can become confusing for students who do not understand negative integers).
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.