Articles

Multiplication as Scaling helps Grade 5 students build confident understanding through visual models, worked examples, and guided practice.
Students interpret multiplication as scaling (resizing). They compare the size of a product to the size of one factor based on the other factor, understanding that multiplying by a fraction less than 1 makes the product smaller and multiplying by a number greater than 1 makes it larger.
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Area with Fractional Side Lengths helps Grade 5 students build confident understanding through visual models, worked examples, and guided practice.
Students find the area of a rectangle with fractional side lengths by tiling with unit squares and show that the area is the same as the product of the side lengths. They apply this to real-world problems involving partial units.
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Multiplying Fractions by Fractions helps Grade 5 students build confident understanding through visual models, worked examples, and guided practice.
Students multiply a fraction by a fraction, understanding the product (a/b) × (c/d) = ac/bd. They use area models to visualize the multiplication and understand why the product is smaller than either factor when both are less than 1.
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Multiplying Fractions by Whole Numbers helps Grade 5 students build confident understanding through visual models, worked examples, and guided practice.
Students multiply a whole number by a fraction, interpreting the product as parts of a partition. For example, 4 × (2/5) means 4 groups of 2/5. They use visual models like number lines and area models to build understanding.
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Fractions as Division helps Grade 5 students build confident understanding through visual models, worked examples, and guided practice.
Students interpret a fraction a/b as the result of dividing a by b. For example, they understand that 3/4 means 3 divided by 4, and solve problems like sharing 3 sandwiches equally among 4 people.
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Estimating Sums and Differences of Fractions helps Grade 5 students build confident understanding through visual models, worked examples, and guided practice.
Use benchmark fractions (0, 1/2, 1) and rounding strategies to estimate sums and differences of fractions and mixed numbers. Use estimation to check the reasonableness of exact answers.
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Word Problems with Fraction Addition and Subtraction helps Grade 5 students build confident understanding through visual models, worked examples, and guided practice.
Students solve word problems involving addition and subtraction of fractions referring to the same whole. They use visual fraction models and equations to represent the problem and assess the reasonableness of answers using estimation.
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Adding and Subtracting Mixed Numbers helps Grade 5 students build confident understanding through visual models, worked examples, and guided practice.
Students add and subtract mixed numbers with unlike denominators. They convert mixed numbers to improper fractions when needed and practice both methods, then simplify and convert results back to mixed numbers.
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Subtracting Fractions with Unlike Denominators helps Grade 5 students build confident understanding through visual models, worked examples, and guided practice.
Students subtract fractions with unlike denominators by first rewriting them with a common denominator. They handle cases involving regrouping and apply the strategy to measurement and real-world problems.
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Adding Fractions with Unlike Denominators helps Grade 5 students build confident understanding through visual models, worked examples, and guided practice.
Students add fractions with unlike denominators by replacing them with equivalent fractions that share a common denominator. They apply properties of operations and understand that the strategy works because of equivalent fractions.
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