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Fractions on a Number Line
Fractions > Fractions as Numbers > See How It Works
A fourth-grade teacher describes students’ challenges in moving from a part-whole interpretation of fractions to seeing them as numbers. Student pairs work on locating fractions and decimal and...
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School Example
Multiple Interpretations of Fractions
Fractions > Fractions as Numbers > See How It Works
Professor Jonathan Brendefur describes how he helps teachers understand and teach different interpretations of fractions. He explains the importance of explicitly teaching about various...
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School Example
Grade 5 Number Talk
Fractions > Fractions Operations > See How It Works
Follow a teacher’s lesson on adding and subtracting fractions using fraction equivalents and relationships. Children share their strategies for solving the problems described in Dumb Friends League...
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School Example
Ways to Measure 1 1/2 Cups
Fractions > Fractions Operations > See How It Works
A fourth-grade teacher asks students to help solve his problem of measuring 1-1/2 cups without either a 1-cup or a 1/2-cup measuring cup, and instead with the use of many other size measuring cups....
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School Example
Solving a Real-World Fraction Division Problem
Fractions > Fractions Operations > See How It Works
A fifth-grade teacher poses a fraction division problem and challenges students to find different approaches to a solution. One student uses a number line; others use build-up strategies. See their...
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School Example
Cross-Multiply? Not So Fast
Fractions > Ratio, Rate, Proportion > See How It Works
Eighth-grade co-teachers lead a class through activities involving ratios. Students use concrete materials, build-up strategies, and cross-multiplication to solve the real-world problems found in...
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School Example
Understanding Ratios
Fractions > Ratio, Rate, Proportion > See How It Works
This development session for teachers and coaches demonstrates strategies for teaching ratio, rate, and proportion concepts. Follow the full session through the PowerPoint, Focus on Ratios, and the...
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School Example
Using a Number Line to Teach Fractions
Fractions > Fractions as Numbers > See How It Works
Elementary school teachers demonstrate the use of an open number line with two scales for adding and subtracting fractions and explain why the open number line can be a valuable tool for students...
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School Example
Equal Sharing in Grade 1
Fractions > Fractions Concepts > See How It Works
Watch a teacher guide students through a problem set requiring fair sharing of objects and sets of objects. Using Sharing Cookies Worksheets, she provides differentiated challenges based on...
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School Example
Representations of Part-Whole Relationships
Fractions > Fractions Concepts > See How It Works
Listen to how a math coach works with second graders on fair sharing and fraction equivalence challenges. The lesson culminates with students exploring parts of a whole and equivalencies,...
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School Example
Teaching Fractions in Grade 2
Fractions > Fractions Concepts > See How It Works
Watch a second-grade teacher describe a review lesson designed to check understanding of fractions, decimals, and percents. This classroom presentation was shown in the topic National Mathematics...
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School Example
A Learning Trajectory for Fractions
Fractions
Mathematics coaches describe what they’ve observed about how children deepen their understanding of fractions. They unpack the skills required to perform fraction operations using a technique...
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School Example
