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.
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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 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.