add-and-subtract-integers-on-the-number-line-jump-to-the-right-or-left

This is an introduction to integer addition and subtraction, where we use number line jumps as a model for additions and subtractions.

A jump to the right signifies addition, and a jump to the left signifies subtraction. The first number in the addition or subtraction is the starting point.

For example, 4 - 5 means that you start at 4, and jump 5 steps to the left. And -2 + 9 means that you start at -2, and jump 9 steps to the right.

This lesson does not cover the situation where you add or subtract a negative integer, such as 2 + (-4) or -3 - (-5). While those can be modeled on a number line, I personally tend to either use the shortcuts for +- and - - or to think of counters. For example, 2 + (-4) simplifies to 2 - 4 which then can be thought of as a number line jump. Similarly, -3 - (-5) simplifies to -3 + 5.

This lessons is meant for 6th grade math.

Tagged under: integers,integer addition,integer subtraction,number line,number line jumps,6th grade,math,negative,addition

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