This video demonstrates how to use fraction tiles to multiply a fraction and whole number. Students should have experience with determining the fraction of a whole (2 x 2/3) before being introduced to determining the fraction of a fraction (2/3 x 3/4). Before students multiply fractions, they should understand the concepts of repeated addition and grouping as it is used with multiplication of whole numbers. Teachers can model how to create equivalent groups (such as two groups of 2/3). Students can then use skills of addition and converting improper fractions to mixed numbers to find the product.
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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 Voices from the Field piece highlights how North Carolina, Oregon, Washington, and Texas have raised awareness, visibility, and statewide knowledge of data-based individualization (DBI) at statewide conferences through keynote speakers, workshops, breakout sessions, and facilitated team time.
This video demonstrates how to use lattice multiplication. Although the lattice multiplication strategy eliminates regrouping while solving the problem, it requires careful construction of the lattice (it needs to be the correct size), correct placement of the numbers (above or below the lattice line), and a solid understanding of place value. The lattice strategy uses place value by partitioning multi-digit numbers into smaller parts and it may not be an efficient strategy for students to use if they do not understand how multiplication works. However, learning this strategy with whole numbers may benefit students as they begin to multiply decimals as lattice multiplication is an efficient tool to use with decimals.
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).
NCII, through a collaboration with the University of Connecticut and the National Center on Leadership in Intensive Intervention and with support from the CEEDAR Center, developed course content focused on enhancing educators’ skills in explicit instruction, intensive mathematics intervention, behavior support and intensive reading intervention. Intensive Intervention Course Content Resources Web Tour
This webinar discusses 1) the importance of fractions instruction and typical challenges faced by students, 2) share recommendations for fractions instruction, and 3) provide considerations for supporting students within secondary or Tier 2 and intensive intervention.
The Academic Intervention Taxonomy Briefs provide educators with information they can use to evaluate the appropriateness of academic interventions available on the academic intervention tools chart for a specific student or group of students who require intervention. The information included in the briefs is organized along the seven dimensions of the Taxonomy of Intervention Intensity
In this Voices from the Field post, we archive the presentations from day 3 of the NCII 10-year celebration of the implementation of intensive intervention. On this day, panelists shared stories focused on improving outcomes for students through DBI implementation.
This video demonstrates how to use the lattice division strategy. The lattice division strategy eliminates the requirement to use automatic recall of facts, such as in the partial quotient strategy, but this strategy requires that students follow a very specific set of steps. Careful use of the lattice is required. The lattice strategy partitions numbers into smaller parts and it may not be an efficient strategy for students to use if they do not understand how division works. To use this strategy, students should have a solid understanding of place value and dividing large quantities in equal groups.
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