This task is for second graders trying to understand the properties of single-digit subtraction. Students must agree or disagree on if the commutative property is true for subtraction. Agree or Disagree? asks students to explain their thinking.
Microsoft Word version: 2_OA_Subtraction_Problem_Critique_AgreeOrDisagree
PDF version: 2_OA_Subtraction_Problem_Critique_AgreeOrDisagree
Second graders are required to solve double digit addition number problems with and without regrouping. They sometimes have a problem determining whether or not they need to regroup. In this problem they need to explain how they solved it and what tool they used. Most students would choose to use place value blocks or a hundreds or two hundreds chart to prove their answer.
Microsoft Word version: Gr_2_OA_AdditionMultiDigit_Problem_Critique
PDF version: 2_OA_AdditionMultiDigit_Problem_Critique
Second graders are given a number to determine if it is odd or even. Many begin to look at the first digit of the number to determine if it is odd or even. I have students use a tool, most will choose counters to see if they can divide the number evenly.
Microsoft Word version: 2_NBT_PropertyOddEven_Problem_Critique
PDF version: 2_NBT_PropertyOddEven_Problem_Critique
Second graders are asked to critique a student response. Students must add three quantities using knowledge of place holders and place values. The task involves hundreds, tens, and ones places and asks students to explain their thinking. Student explanation requires an understanding of place values and how to write numbers given place values.
Microsoft Word version: 2_NBT_PlaceValue_Problem_Critique_SallysWork
PDF version: 2_NBT_PlaceValue_Problem_Critique_SallysWork
This task was used with second graders to understand place value. Students are asked to critique Lydia’s Idea on writing a number in expanded form and explain their reasoning. Lydia’s Idea involves the hundreds, tens, and ones place values and the expanded number contains a 0 in the tens place.
Microsoft Word version: 2_NBT_PlaceValue_Problem_Critique_LydiasIdea
PDF version: 2_NBT_PlaceValue_Problem_Critique_LydiasIdea
This task is geared towards second graders. Students are asked to critique a comparison of two numbers using what they know about place value. Students are asked to explain how they compare the two numbers using content knowledge. The task addresses a common misconception in which students simply look at the left-hand digits and compare them rather than looking at place values of the digits.
Microsoft Word version: 2_NBT_PlaceValue_Problem_Critique_BensThinking
PDF version: 2_NBT_PlaceValue_Problem_Critique_BensThinking
I used this task early on for my 3rd grade class. The reason for giving this task was to allow students to see and recognize the commutative property of addition. The problem is very basic, and allows space for students to give their claim and argument, and also to have a discussion with a partner. Students struggled with understanding what the word “equals” means. They were not used to seeing an equation after the equal sign. Once students understood that equals actually means “the same,” they had a better understanding of how the commutative property works.
Microsoft Word version: 2_NBT_PropertiesCommutative_ThinkPairShare_Construct
PDF version: 2_NBT_PropertiesCommutative_ThinkPairShare_Construct