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Classroom Connection: Benchmark Fractions

  Classroom Resource Information  

Title:

 Classroom Connection: Benchmark Fractions

URL:

 https://aptv.pbslearningmedia.org/resource/benchmark-fractions-math-4-5-video/classroom-connection/

Content Source:

 PBS
Type: Audio/Video

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.

Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 4
14. Compare two fractions with different numerators and different denominators using concrete models, benchmarks (0, ½, 1), common denominators, and/or common numerators, recording the comparisons with symbols >, =, or <, and justifying the conclusions.

a. Explain that comparison of two fractions is valid only when the two fractions refer to the same whole.
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Compare two fractions with different numerators and different denominators using concrete models, drawings, and benchmarks (0, 1/2, 1).
  • Recognize that comparisons are valid only when the two fractions refer to the same whole.
  • Record the comparisons of two fractions using symbols >,<, or =, and justify the conclusions.
Teacher 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.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.4.14.1: Identify fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts and size 1/b.
M.4.14.2: Identify a fraction as a number on the number line; represent fractions on a number line diagram.
M.4.14.3: Recognize a fraction as a number on the number line.
M.4.14.4: Represent fractions on a number line diagram.
M.4.14.5: Recognize fractions as numerals that may represent division problems.
M.4.14.6: Label numerator, denominator, and fraction bar.
M.4.14.7: Identify parts of a whole with two, three, or four equal parts.
M.4.14.8: Distinguish between equal and non-equal parts.

Prior Knowledge Skills:
  • Recognize fractions as lengths from zero to one.
  • Represent whole numbers as lengths from 0 on a number line diagram with equally spaced points corresponding to the numbers 0, 1, 2…, and represent whole-number sums and differences within 100 on a number diagram.
  • Identify a number line.
  • Recognize whole numbers as lengths from zero to one.
  • Represent whole numbers as lengths from 0 on a number line diagram with equally spaced points corresponding to the numbers 0, 1, 2…, and represent whole-number sums and differences within 100 on a number diagram.
  • Identify a number line.
  • Label the fractions on a pre-made number line diagram.
  • Represent whole numbers as lengths from 0 on a number line diagram with equally spaced points corresponding to the numbers 0, 1, 2…, and represent whole-number sums and differences within 100 on a number diagram.
  • Recognize a number line diagram with equally spaced points.
  • Compare length using non
  • standard units to determine which is longer.
Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.4.13 Identify and compare models of a whole (1), one-half (1/2), one-third (1/3), and one fourth (1/4) using models, manipulatives, numbers lines, and a clock.
Tags: benchmark, compare, comparison, fraction, landmark
License Type: Custom Permission Type
See Terms: https://mpb.pbslearningmedia.org/help/terms-of-use/
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses
AccessibilityVideo resources: includes closed captioning or subtitles
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Author: Stephanie Carver
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