Classroom Connection: Benchmark Fractions

Learning Resource Type

Classroom Resource

Subject Area

Mathematics

Grade(s)

4

Overview

Comparing fractions is easy when the numerators or denominators are the same, but what about when they’re different? Use this lesson from Classroom Connection to master comparing fractions, no matter what numbers they have.

Mathematics (2019) Grade(s): 4

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.

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.

CR Resource Type

Audio/Video

Resource Provider

PBS

License Type

CUSTOM
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