This video demonstrates two subtraction problem structures that students must understand to master basic facts. Each problem structure has three numbers, with one number missing.
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This video uses manipulatives to review the five counting principles including stable order, correspondence, cardinality, abstraction, and order irrelevance.
This video demonstrates how to use the set model to convert mixed numbers to improper fractions. It is important that students are exposed to converting fractions using this model because it is often how fractions are represented in the real world. Beginners and students who struggle may find the set model difficult to understand because the whole (1) is represented by a set of chips (4 chips in this example); therefore, students will benefit from explicit modeling and several opportunities to engage in guided and independent practice.
This video demonstrates different partitioning strategies that students can use to multiply fractions. Partitioning refers to dividing a shape, such as a rectangle, into equal pieces. In area models and length models, the total number of equally partitioned pieces represents the denominator of the product. Students can practice multiplying nonequivalent fractions using an area model without concrete materials, such as by creating a grid using paper and pencil, or with concrete materials such as fraction grids. Students should also have the opportunity to practice multiplication using fraction tiles and length model.
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 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.
This video demonstrates how to use the set model to add fractions with unlike denominators. The set model allows students to easily find like denominators and manipulate pieces of the fraction in order to perform computation; however, using the set model in this instance does require many steps and students need to remember that whole is represented by a set of chips (in this case, 12 chips). Beginners and students who struggle may benefit from a visual checklist to use while performing addition of fractions with unlike denominators using the set model.