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2-N-3-1

Page history last edited by Tashe Harris 6 years, 2 months ago

2.N.3.1 Identify the parts of a set and area that represent fractions for halves, thirds, and fourths.

In a Nutshell

In first grade, students began to develop an understanding about fractional parts of a whole as they divide objects into equal shares using both physical models and sets of objects. Second grade students continue to extend this exploration of fractions as they understand the parts of those sets and area that represent fractions for halves, thirds, and fourths. Third graders will apply words and symbols to read and write fractions, as well as use models and number lines to order and compare fractions.

Student Actions	Teacher Actions
Develop strategies for representing equal shares and parts of a whole in a variety of ways (e.g., verbal, physical, symbolic, pictorial, graphical). Develop the ability to make predictions, conjectures, and models of fractions (e.g., ask students what would a third of a circle look like and explain why). Develop mathematical reasoning in exploring and communicating a variety of strategies, critiquing the thinking and strategies of others, and evaluating other strategies involving representations for halves, thirds, and fourths.	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 by providing opportunities for them to share, discuss, and compare fractions. Use and connect fractional representations to deepen understanding of fractions. Representations could include: region or area models (circular pie pieces, fourths on a geoboard, pattern blocks, paper folding, drawings on grid paper); length or measurement models (fraction strips, Cuisenaire rods, number lines, folded paper strips) set models (two color counters in arrays to model various fractional parts of a whole set
Key Understandings	Misconceptions
Students recognize objects (e.g., circles and rectangles) partitioned in multiple ways so they learn to recognize that equal shares can be different shapes within the same whole.	A region model represents one out of two, three or four fractional parts without regard to the fact that the parts have to be equal shares, e.g., a circle divided by two equally spaced horizontal lines represents three thirds.