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.
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The Academic Screening Tools Chart is comprised of evidence-based screening tools that can be used to identify students at risk for poor academic outcomes, including students who require intensive intervention. The chart displays ratings on technical rigor in the areas of classification accuracy, reliability, and validity, and provides information on the representativeness of the sample, 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 screening tools that address their specific needs. The presence of a particular program on the chart does not constitute endorsement and should not be viewed as a recommendation from either the TRC on Academic Screening or NCII.
The Academic Intervention Tools Chart is comprised of studies conducted on programs beyond the core curriculum that target small groups or individuals with the goal of improving academic outcomes for students whose performance is non-responsive to the core procedures. The chart displays the study’s results and ratings of the study’s quality, provides information on the program administration and whether additional research has been conducted on the program. The chart is intended to assist educators and families in becoming informed consumers who can select academic intervention programs that address their specific needs. The presence of a particular program on the chart does not constitute endorsement and should not be viewed as a recommendation from either the TRC on Academic Intervention or NCII.
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.
This video demonstrates how to use the set model to multiply equivalent fractions. Before students can multiple fractions they should understand the concepts of repeated addition and grouping as it is used with multiplication of whole numbers. Teachers should carefully model multiplication using the set model as students have to understand that when re-grouping the parts of the fractions, they need to keep the denominator the same. The set model is also a useful strategy for introducing how to multiply fractions that are not equivalent; so, students may benefit from multiple opportunities to practice with equivalent fractions first.
This video demonstrates how to use the set model to subtract fractions with unlike denominators. Students need to have the prerequisite conceptual knowledge of finding like denominators before they can apply subtraction strategies to fractions with unlike denominators.
This video demonstrates how to model subtraction of fractions with unlike denominators using fraction tiles. Like subtraction with whole numbers, many students struggle with subtraction of fractions; so students should have several opportunities to practice subtraction using concrete materials such as fraction tiles.
This video demonstrates how to use fraction tiles to subtract fractions. If students are subtracting fractions with unlike denominators, they can also practice finding the difference between the fractions or comparing the fractions for solution.
This video demonstrates how to use fraction circles to subtract fractions. If students are subtracting fractions with unlike denominators, they can practice finding the difference between the fractions by comparing or taking away the fractions for solution.
This video demonstrates how to use fraction tiles to model fraction addition and subtraction concepts.