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).
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This video describes how to use the partial differences strategy to solve multi-digit subtraction.
This video reviews to how use the traditional algorithm to solve multiplication with regrouping.
This video describes how to use the partial products strategy with multiplication.
This video illustrates how to use the partial quotient strategy to divide. To correctly use the partial quotient strategy, students need to have strong recall skills in division and multiplication facts. Students rely on this knowledge to partition the larger quantity that is being divided, into smaller and more manageable numbers. The partial quotient strategy is an alternative strategy for students who have not yet mastered the steps of the traditional algorithm.
This video shows how to use the traditional division algorithm. Unlike other traditional algorithms used with addition, subtraction, and multiplication, the traditional algorithm used for division requires that students move left to right. The traditional division algorithm is very efficient to use and can be used with numbers of varying digit length. Although efficient, correct use of the traditional algorithm requires that students have strong basic fact recall (i.e., with multiplication facts and subtraction) and that students have a firm understanding of place value. Related Resources View other videos in this series.
How do you know if an intervention, program, or practice is likely to be effective with a particular subgroup of students? What resources are there to help school, district, and State leaders identify and select evidence-based practices (EBPs)? EBPs play an increasingly prominent role in Federal education policy. In both State Systemic Improvement Plans (SSIPs) and provisions in the Every Student Succeeds Act (ESSA), States are being asked to implement practices and programs that have evidence of effectiveness.
In this video, Dr. Rebecca Zumeta Edmonds, Co-Director of NCII discusses the differences between the terms “multi-tiered system of supports (MTSS)” and “Response to Intervention (RtI).”