This video illustrates the use of manipulatives to help students integrate the concept of counting by ones with skill in grouping by tens.
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This video illustrates the use of scaffolding with manipulatives to teach students to group objects by tens with counting by ones.
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 demonstrates how to use base-10 blocks and a place value chart to help students subtract multi-digit numbers that require regrouping.
This video demonstrates how to use base-10 blocks to help students solve multiplication problems that cannot be solved with automatic retrieval.
This video demonstrates how to use base-10 blocks to help students solve division problems that cannot be solved with automatic retrieval. The use of direct modeling with concrete manipulatives to demonstrate division allows students to visualize the division of a quantity into equal groups. Students should have multiple opportunities to practice division with manipulatives to develop an understanding of the steps for regrouping and dividing quantities into equal groups. While students may have moved on to traditional algorithms with other operations (e.g., subtraction) they may still require the use of concrete manipulatives with learning division.
This video demonstrates how to use fraction tiles to explore how fractions such as 4/4 are equivalent to 1. Before fractions are introduced in the curriculum, students use integers, which only have one value associated with the numeral or number word. Fractions may be the first time that students are introduced to the possibility that the same quantity can be represented with different representations, such as one whole and four fourths. Using models allows students to practice finding equivalent fractions, which is a prerequisite skill for performing computation with fractions.
In this video, Dr. Sharon Vaughn, Senior Advisor to the National Center on Intensive Intervention and the Executive Director of The Meadows Center for Preventing Educational Risk, discusses intensive academic interventions and supplies up to date information about the status of research studies on the subject.
This video and tips are part of a series of products to support students with intensive needs in the face of COVID-19. The series illustrates how educators can implement the NCII reading and mathematics sample lessons through virtual learning and provide tips for there use. These lessons provide short instructional routines to encourage multiple practice opportunities using explicit instruction principles. Tips for how educators can share these lessons with parents and families and video examples of family members implementing the lessons to enhance practice opportunities are also available.
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.