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, including zero, and their additive inverses (opposites) (i.e., {… , −2, −1, 0, 1, 2, …}). Estimating realworld and mathematical problems that require 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



Pose purposeful questions about whether a student’s estimation to a sum or difference problem involving integers makes sense in the context of the problem. For example, when finding a person’s total golf score, some possible questions may be “Is it reasonable for the person to have a negative golf score?” and “What is the meaning of a negative score in golf?”
 Implement tasks that promote mathematical reasoning about estimations of sums and differences of integers including tasks that are in different contexts such as temperature, altitude, golf scores, and money.

Key Understandings

Misconceptions


Understand the estimation of sums and differences of integers can be used to check the reasonableness of results.
 Understand through estimation that the sum for realworld and mathematical problems involving addition can be smaller than the numbers being added together. For example,  2 + 6 =  4.

Understand through estimation that the difference for realworld and mathematical problems involving subtraction can be larger than the numbers being subtracted. For example, 2  (6) = 4.


Think that estimating the sum and difference of integers is not an important step in the problemsolving process in order to check the reasonableness of the answer.

Think the estimate of the sum of a set of integers should be larger than the integers being added together.

Think the estimate of the difference of a set of integers should be smaller than the integers being subtracted.

OKMath Framework Introduction
6th Grade Introduction
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