CCSS.Math.Content.3.NF.A.3b
The standard
Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction model.
Common Core State Standards for Mathematics
What this standard means
Students need to see that two fractions can name the same amount, even when the numbers look different. They should build, draw, and name matching amounts like one half and two fourths. They also need to make their own equivalent fractions, not just pick them from a list.
Mastery means students can prove equivalence with a picture, number line, fraction strips, or area model, and explain it in words. Common sticking points are comparing only denominators, thinking bigger numbers mean bigger pieces, and drawing unequal parts in visual models.
Ways to teach it
- Have students use fraction strips to match one half, two fourths, three sixths, and four eighths, then record each match as an equation.
- Ask students to write: How can two fourths be the same amount as one half if the numbers are different?
- Show four fraction models and ask students to circle the ones equal to one half and explain one choice.
- Cut paper sandwiches or granola bars into halves, fourths, and sixths, then compare which servings are the same size.
Plan a lesson for CCSS.Math.Content.3.NF.A.3b
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Related standards
- CCSS.Math.Content.3.NF.A.3c
Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.
- CCSS.Math.Content.5.NF.A
Use equivalent fractions as a strategy to add and subtract fractions.
- CCSS.Math.Content.4.NF.A.1
Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts d...
- CCSS.Math.Content.4.NF.A.2
Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark ...