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.
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This video demonstrates how to use fraction tiles to convert mixed numbers to improper fractions. As students practice this process with fraction tiles, they will also gain fluency with determining different fractions that are equivalent to 1.
This video demonstrates how to use fraction tiles to convert improper fractions to mixed numbers. As students practice this process with fraction tiles, they will also gain fluency with determining different fractions that are equivalent to 1.
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.
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).
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.
In this webinar presenters reviewed the evidence-base behind explicit instruction for students with disabilities and highlighted recently released course content designed to help educators learn how to deliver explicit instruction and review their current practices.
It is important that the instructional practices and interventions delivered within a school’s multi-tiered system of support (MTSS) be grounded in evidence. However, the “practice” that happens within each tier is different; therefore, the type of evidence that is required for each tier also must be different. A useful way to think about evidence-based practices in MTSS is to think about levels of evidence that vary and correspond to the different levels of intervention intensity at each tier. In the tables below, find resources to support the selection and evaluation of Tier 1, Tier 2, and Tier 3 or intensive interventions.
The Academic Progress Monitoring Tools Chart is comprised of evidence-based progress monitoring tools that can be used to assess students’ academic performance, to quantify a student rate of improvement or responsiveness to instruction, and to evaluate the effectiveness of instruction. The chart displays ratings on technical rigor of performance level standards (reliability and validity) and growth standards (sensitivity, alternate forms, and decision rules) and provides information on the whether a bias analysis was conducted, and key usability features. The chart is intended to assist educators and families in becoming informed consumers who can select academic progress monitoring tools that address their specific needs. The presence of a particular tool on the chart does not constitute endorsement and should not be viewed as a recommendation from either the TRC on Academic Progress Monitoring or NCII.