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MAKE YOUR OWN FRACTIONS—FRACTIONS GREATER THAN ONE

Grades: 3‒4

Students make area models of fractions greater than 1 expressed as improper fractions. Starting with fractions less than 1, students observe what happens to the fractions as their numerators increase, eventually becoming greater than their denominators. Students recognize that any fraction whose numerator is greater than its denominator is greater than 1. They also are able to describe the visual and symbolic representations of fractions greater than 1.

Note: This activity is available in two versions—an area model that represents fractions as parts of a circle and an area model that represents fractions as parts of a rectangle.

OBJECTIVES 
  • Students will use an area model of fractions to explore part-whole relationships.
  • Students will observe the changes in an area model of a fraction as the numerator increases and becomes greater than the denominator.
  • Students will make area models of fractions greater than 1.

COMMON CORE CONNECTIONS 
Mathematical Practices

(1) Make sense of problems and persevere in solving them; (2) Reason abstractly and quantitatively; (3) Construct viable arguments and critique the reasoning of others; (5) Use appropriate tools strategically; (7) Look for and make use of structure.

Content Standards

3.NF3c, 4.NF3

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This activity is licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License: http://creativecommons.org/licenses/by-nc-sa/3.0/. If you adapt and/or share this activity, you must attribute it to "KCP Technologies, a McGraw-Hill Education Company." You may distribute it only non-commercially under the same or similar license.


This material is based upon work supported by the National Science Foundation under KCP Technologies Award ID 0918733, with grant period September 1, 2009 through August 31, 2013. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.
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