T4T Equal Groups

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Task excerpt:


Operations and Algebraic Thinking


Work with equal groups.


NC.2.OA.3 Determine whether a group of objects, within 20, has an odd or even number of members by:

●       Pairing objects, then counting them by 2s.

●       Determining whether objects can be placed into two equal groups.

●       Writing an equation to express an even number as a sum of two equal addends.


Student sheet, pencil, manipulatives (counters, Unifix cubes, bears, etc.)


This task can be given in whole group or small group.

Teacher/students read aloud the problem and solve it.


Continuum of Understanding

Not Yet Proficient

Needs prerequisite concepts

●       Student is unable to show 12 objects shared equally.

●       Student is unable to write an equation with two equal addends.

●       Student is unable to determine if 12 is an even or odd number.

Strategy (ies) used:

❏      Student uses pictures or numbers to show equal groups.

❏      Student pairs numbers to show equal groups.

❏      Student writes an equation to show that an even number has two equal addends.


●       Student writes that 12 is even number, draws 12 objects. Clearly shows that they can be equally grouped but the equation does not match student’s picture.

●       Student writes that 12 is even, writes  6 + 6 for the equation but has the wrong sum or has the correct sum but wrong addends.

Meets Expectation

●       Student writes that 12 is an even number, draws 12 objects and clearly shows that they can be equally grouped with six objects in each group and writes 6 + 6 = 12 for the equation.

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