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6-N-2-1

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Saved by Levi
on October 11, 2016 at 9:00:32 am

Updated!

6.N.2.1 Estimate solutions to addition and subtraction of integers problems in order to assess the reasonableness of results.

In a Nutshell

Integers are the set of numbers that contain the whole numbers, their additive inverses (opposites), and zero i.e., {… , −2, −1, 0, 1, 2, 3, … }. Estimating real-world and mathematical problems with addition and subtraction of integers involve rounding each number that is being added and subtracted to the nearest integer in order to obtain an estimated solution. Once an estimation is found, it can be used to see if the results for a given problem are reasonable and make sense in the context of the problem.

Student Actions	Teacher Actions
Verify the reasonableness of their results through estimation. Make predictions about whether their answers will be greater than or less than the numbers in the problems.	Pose purposeful questions about whether a student’s answers make sense in the context of the problem. Engage students in solving problems with similar contexts, same operation, and different numbers in order to promote mathematical reasoning.
Key Understandings	Misconceptions
Estimation can be used to check the reasonableness of results. The sum for real-world and mathematical problems involving addition can be smaller than the numbers being added together. For example, - 2 + 6 = - 4. The difference for real-world and mathematical problems involving subtraction can be larger than the numbers being subtracted. For example, -2 - (-6) = 4.	Students don’t see estimation as an important step in the problem solving process because they are focused on finding the final answer. Students think that the sum of a set of numbers should be larger than the numbers being added together. Students think that when you subtract numbers the difference should be smaller than the numbers being subtracted.