Articles

Dividing Unit Fractions by Whole Numbers helps Grade 5 students build confident understanding through visual models, worked examples, and guided practice.
Students divide a unit fraction by a whole number. For example, they find 1/3 ÷ 4 by understanding that if 1/3 of a sandwich is shared equally among 4 people, each person gets 1/12 of the sandwich. They use visual models and relate to multiplication.
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Solving Real-World Problems with Fraction Multiplication helps Grade 5 students build confident understanding through visual models, worked examples, and guided practice.
Students solve real-world problems involving multiplication of fractions and mixed numbers. They use visual models or equations to represent the situation and interpret the product in context.
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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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