This video demonstrates how to use fraction tiles to explore how different fractions can be equivalent to the same value, such as 1/2. It is important for students to understand that fractions have multiple representations because they can apply this knowledge to compare fractions, especially fractions with unlike denominators. For example, students can use the benchmark of 1/2 to determine that 1/4 is less than 4/6 by knowing that the equivalent fractions of 1/2 include 2/4 and 3/6.
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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.
This video demonstrates how to use fraction tiles to explore how different fractions can be equivalent to the same value, such as 1/5 and 2/10. It is important for students to understand that fractions have multiple representations because they can apply this knowledge to compare fractions, find common denominators, and perform computation with fractions.
This video demonstrates how to use base-10 blocks to help students solve multiplication problems that cannot be solved with automatic retrieval.
This video illustrates the use of manipulatives to help students practice counting skills such as correspondence and cardinality. When students practice counting with manipulatives they learn to recognize that number names are stated in a standard order, each number word is paired with one and only one object, and the last number stated in the sequence tells the number of total objects counted in the set. It is important for students to master skills such as correspondence and cardinality, because a strong foundation in counting is necessary for students to learn other skills such as number relations.
This video illustrates three different models for representing fractions: length, area, and set. Different concrete tools are available to illustrate the different fraction models including fraction tiles, fraction circles, Cuisenaire Rods, Geoboards, and different colored objects such as chips or clips. Many students struggle with fractions; for this reason, students should have multiple opportunities to explore fractions with a variety of models. When students understand how to use concrete models, they will develop the skills that are necessary to develop mental models and reasoning strategies related to fractions. Students should also have the opportunity to use different models to solve the same types of problems and discuss connections between the models.
This video demonstrates how to use fraction circles to add fractions with unlike denominators. After a teacher models how to appropriately use fraction circles to solve addition problems, students can use the tools to explore fractions with guided and independent practice.
This unit of study includes a tip sheet, slides with activities, and supplemental materials that are associated with finding the area of various polygons, the area of circles, and the relationship between the area formulas, as well as a final activity exploring the area of a parallelogram and the area of a circle. This presentation is not intended to be used in one virtual session but as guidance for a unit of study related to the area of polygons. This unit was created by Robert Stroud from Westerly Public Schools in Rhode Island to support making the connections between various polygons and their areas rather than just providing formulas to compute.
This lesson features Carla Jo Whatley, a First Grade Teacher at Ferris Intermediate in Ferris ISD in Texas. In the lesson she illustrates how to use virtual manipulatives within a math lesson. These manipulatives allow educators and students to engage in the Concrete-Representational-Abstract approach without having the physical materials in front of them. For some educators, switching between platforms has been challenging. This lesson can be used synchronously or asynchronously, does not require using multiple platforms, and allows educators to apply the features of interactive base ten blocks. The collection includes a tip sheet, two video examples, and slides with virtual base ten block practice examples.
In this Voices From the Field piece, the National Center on Intensive Intervention (NCII) speaks to Cyndi Caniglia, PhD, an assistant professor in the Department of Education at Whitworth University in Spokane, Washington about how she has meaningfully integrated the NCII Features of Explicit Instruction Course Content into her coursework.