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2-N-3-2

Page history last edited by Tashe Harris 6 years, 1 month ago

2.N.3.2 Construct equal-sized portions through fair sharing including length, set, and area models for halves, thirds, and fourths. 


In a Nutshell   

In first grade students partition sets of objects and area models into equal groupings. In second grade they will continue to extend this exploration and construction of equal-sized portions through fair sharing including length, set, and area models with halves, thirds, and fourths. This lays the groundwork for third grade where they will be expected to read, write, construct, order and compare fractions beyond halves, thirds, and fourths.

Student Actions

Teacher Actions

  • Develop the ability to model halves, thirds, and fourths based on patterns and the repeated structures. For example, given a collection of different-size circles and rectangles cut from paper, students are asked to fold some shapes into halves, some into thirds, and some into fourths. They compare the locations of the folds in their shapes as a class and discuss the different representations for the fractional parts.

  • Develop mathematical reasoning when exploring and developing representations for 1/2, 1/3, and 1/4 using a variety of objects, including, length area and set models.

 

  • Elicit and use evidence of student thinking to assess progress toward fractional understanding and to adjust instruction continually in ways that support and extend learning.

  • Facilitate meaningful mathematical discourse among students to build shared understanding of fractional ideas by analyzing and comparing student approaches and arguments.

  • Use and connect fractional representations to deepen understanding of fractions.

  • Pose purposeful questions (e.g., “Suppose there are four brownies to be shared among three children so that each child gets the same amount.  Show how much each child will get.”) to advance students’ reasoning and sense making about fractional ideas and relationships.

Key Understandings

Misconceptions

  • Fractional parts are equal shares of a whole or a whole set.

  • The fraction name (half, fourth) tells the number of equal parts in the whole.

  • Any object divided into two parts, regardless of its size or area, is divided into halves. any object divided into three parts, regardless of its size or area, is divided into thirds, etc.

                                                                                  

  • ½ of different objects are the same size because ½ is ½, not realize the size of the whole determines the size of the parts.

  • The relative size of a whole isn't necessary to know to determine what size the fraction is (i.e. one-half of a small pizza is smaller than one-half of a large pizza.


OKMath Framework Introduction

2nd Grade Introduction

2nd Grade Math Standards

 

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