An area model represents a fraction by partitioning a whole, or a collection of wholes, into equal-sized parts: the denominator names the total number of equal parts in one whole, and the numerator identifies how many parts are represented. The model supports interpreting fractions as quantities, recognizing equivalent fractions through different equal partitions, and distinguishing equal-area parts from merely equal-looking or unequal regions.
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- Learn “Represent fractions with area models” with a detailed explanation of the concept
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Detailed Explanation: Represent fractions with area models
An area model shows a fraction by dividing a whole into equal-area parts.
Let’s represent .
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Look at the denominator.
The denominator is , so divide one whole rectangle into equal parts.
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Look at the numerator.
The numerator is , so shade of the equal parts.
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Read the model.
There are equal parts in all, and are shaded. Therefore, the area model represents
The parts must have equal areas. They should not just look similar; each part must represent the same amount of the whole.
Learn by doing: Represent fractions with area models
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Practice:
Benchmark Fractions - Halves/Quarters/Thirds - Image to Equivalent Fraction
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Download/Modify Free Grade 4 'Represent fractions with area models' Worksheet
Print this free 'Represent fractions with area models' worksheet to practice this skill away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Benchmark Fractions - Halves/Quarters/Thirds - Image to Equivalent Fraction
- Fractions - Equivalent Fraction From Image Pair (Rectangle)
- Fractions - Equivalent Fraction From Single Image (Rectangle)
- Benchmark Fractions - Halves/Quarters/Thirds - Fraction to Equivalent Image (Different Shapes)
- Benchmark Fractions - Halves/Quarters/Thirds - Image to Fraction
- Benchmark Fractions - Halves/Quarters - Fraction to Image (Different Shapes)
- Fraction Naming - Denominator Number to Empty Image
- Fraction Naming - Empty Image to Denominator Number
Units Teaching This Skill
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