MA19.4.14
Compare two fractions with different numerators and different denominators using concrete models, benchmarks (0, $\frac{1}{2}$, 1), common denominators, and/or common numerators, recording the comparisons with symbols >, =, or <, and justifying the conclusions.
Compare two fractions with different numerators and different denominators using concrete models, benchmarks (0, $\frac{1}{2}$, 1), common denominators, and/or common numerators, recording the comparisons with symbols >, =, or <, and justifying the conclusions.
UP:MA19.4.14
Vocabulary
- Compare
- Equivalent fraction
- Numerator
- Denominator
- Benchmark fraction
- Concrete model
- Visual model
- Length model
- Area model
Knowledge
Students know:
- Comparing two fractions is only valid if they refer to the same whole.
- Meaning of comparison symbols,, or = .
- Fractions can be represented by a variety of visual models (length and area).
Skills
Students are able to:
- Use concrete models, benchmarks, common denominators, and common numerators to compare two fractions and justify their thinking.
- Explain the comparison of two fractions is valid only when the two fractions refer to the same whole.
Understanding
Students understand that:
- When comparing fractions they must refer to the same whole.
- Benchmark fractions can be used to compare fractions.
- Fractions can be compared by reasoning about their size using part to whole relationship.
- Fractions can be compared by reasoning about the number of same-sized pieces.
- Fractions can be compared by reasoning about their size when there are the same number of pieces.
- Fractions can be compared by reasoning about the number of missing pieces.
