2.G.A.3 - About the Math, Learning Targets, and Increasing Rigor

Grade 2 Geometry

2.G.A.3

Full Standard

Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.

 

Measurement Topic

This standard is reported on the report card in these quarters as follows:

2nd Grade Students Learning 2nd Grade Standards
Quarter 1 Quarter 2 Quarter 3 Quarter 4

 

 

  Report Card Measurement Topic: Demonstrates understanding of multiplication and division.
1st Grade Students Learning 2nd Grade Standards
Quarter 1 Quarter 2 Quarter 3 Quarter 4

 

 

  Report Card Measurement Topic: Reasons about shapes and attributes

 

About the Math

 Skills and concepts below are learning goals for this standard.

  • Partition a circle and rectangle into two, three, or four equal parts.
  • Describe the equal shares with words (e.g., halves, thirds, fourths).
  • Describe a whole by the number of equal parts (e.g., two halves make a whole).
  • Explain and give examples to show that halves, thirds, and fourths of an identical whole need not be the same shape (e.g., half of a rectangle can be shown horizontally or vertically).

This standard is the first exposure to some fractional concepts. This experience should allow students to divide circles and rectangles into equal parts. It is not necessary to define these as fractions with a numerator and denominator. Instead the focus should be on the terms halves, thirds, and fourths. When we divide a circle into two, three, or four equal parts, they can be described by half, thirds, and fourths. Emphasize that it takes two halves, three thirds, and four fourths to make the circle or rectangle. Essential vocabulary for this standard includes: equal shares, whole, halves, thirds, and fourths Visit the online dictionary Links to an external site. for vocabulary support.

 

Progression of Standard within Grade 2

This progression informs how to develop the standard within the grade level. This progression is provided by HCPSS Elementary Mathematics.

Progression Throughout Year
Quarter 1 Quarter 2 Quarter 3 Quarter 4
  • Partition a circle and rectangle into two, three, or four equal parts.
  • Describe the equal shares with words (e.g., halves, thirds, fourths).
  • Describe a whole by the number of equal parts (e.g., two halves make a whole).
  • Explain and give examples to show that halves, thirds, and fourths of an identical whole need not be the same shape (e.g., half of a rectangle can be shown horizontally or vertically).

 

Progression of this Standard Across Grades

This progression is informed by the Achieve the Core Coherence Map Links to an external site.. Information is not the complete standard.

Progression Across Grades
Grade 1 Grade 3
  • Partition circles and rectangles into two and four equal shares (1.G.3)
  • Understand unit and non-unit fractions  (3.NF.1)

 

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