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Standards-based assessment and Instruction

Summative Assessment: Grade 2



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Puzzle Pieces


Andy is putting a puzzle together. The puzzle has one hundred fifty pieces all together. The first day Andy puts thirty-six pieces of the puzzle together. The second day Andy puts forty-one more pieces of the puzzle together. The third day Andy puts sixty-eight more pieces of the puzzle together. Andy is upset because there are no more puzzle pieces left. How many puzzle pieces does Andy need to finish the puzzle? Show all your mathematical thinking.

Common Core Content Standards and Evidence

2.NBT Number and Operations in Base Ten

Use place value understanding and properties of operations to add and subtract.

6.   Add up to four two-digit numbers using strategies based on place value and properties of operations.

Exemplars Task-Specific Evidence

This task requires students to use properties of operations and place value to add three two-digit numbers.

Common Core Standards of Mathematical Practice

MP.1 Make sense of problems and persevere in solving them.
MP.3 Construct viable arguments and critique the reasoning of others.
MP.4 Model with mathematics.
MP.6 Attend to precision.

Underlying Mathematical Concepts

  • Addition/Subtraction
  • Part/Whole reasoning
  • Number sense to 150
  • Ordinal numbers

Possible Problem-Solving Strategies

  • Model (manipulatives)
  • Diagram/Key
  • Table
  • Number line

Formal Mathematical Language and Symbolic Notation

  • Model
  • Diagram/Key
  • Number line
  • Amount
  • Table
  • Ordinal numbers (1st, 2nd, 3rd ...)
  • Difference
  • Total/Sum
  • Odd/Even
  • More than (>)/Greater than (>)/Less than (<)
  • Equivalent/Equal to
  • Most/Least
  • Per
  • Number Line

Possible Solutions

Andy needs 5 more puzzle pieces.






Possible Connections

Below are some examples of mathematical connections. Your students may discover some that are not on this list.

  • Each day Andy puts a greater total of pieces in the puzzle.
  • 41 puzzle pieces is an odd number.
  • 36 puzzle pieces is 3 dozen.
  • 68 puzzle pieces were the most done in a day.
  • 36 puzzle pieces were the least done in a day.
  • Solve more than one way to verify the answer.
  • Relate to a similar problem and state a math link.
  • On day 1, Andy puts an even number of pieces together.
  • On day 2, Andy puts an odd number of pieces together.
  • 50 pieces per day would have been an equal amount per day.
  • Even + Odd = Odd, so it is clear some pieces are missing.

Scoring Rationales and Corresponding Anchor Papers




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