Subtracting Integers Using Models

Included in this resource. One way of using the number line for subtracting integers is to move in the opposite direction of adding integers.

Free Adding And Subtracting Integers Math Stations This Is A Great Middle School Math Activity For Any 7th Grade Or P Math Integers Math Stations Math Methods

When you add a positive integer yellow counter and a negative integer red counter the result is 0.

Subtracting integers using models. Create New Preset How do Presets Work. Subtract Integers Using Models CountersNumberline 6NSOC9 Know integer subtraction is the inverse of integer addition. Represent the number 4 using counters and on a number line.

Adding and subtracting integers with modeling can be extremely helpful if you are having problems understanding integers. We will use two color counters to model addition and subtraction of negatives so that you can visualize the procedures instead of memorizing the rules. When we use counters we can think of subtraction the same way.

1 -1 0. 5 - 2. Subtracting Integers Initially begin like an addition problem using no alternate representations of chips Next determine if the sum minuend has sufficient chips for onetoone subtraction to occur Sufficient chips Eliminate addend subtrahend from sum minuend.

The other color red will represent the negatives. ADD AND SUBTRACT INTEGERS USING COUNTERS We can use the following colored counters to model the sum of integers with different signs. We let one color blue represent positive.

Adding and Subtracting Integers with Chips. In modeling integers adding and subtracting are always physical actions. See how to use zero pairs to help special cases of addition and subtraction.

Subtracting Integers 8 2 9 16 25 Find the dierence. Explore the effect of zero pairs. To add a negative integer move to the left on the number line.

You may draw the counters or use counters from your teacher. Printable yellow and red chips Station activity pages. For this standard students are using concrete models to represent integer operations and also to then connect those models to algorithms.

The opposite of 2 is - 2. For example if the expression is asking students to subtract -2 from 4 written. First we subtracted 3 3 positives from 5 5 positives to get 2 2 positives.

5 - 2 5 - 2 3. 5 - 2 -5 - 2 -4 - -7. Each example used counters of only one color and the take away model of subtraction was easy to apply.

This activity uses yellow and red chips to model the addition and subtraction of integers. We will model four subtraction facts using the numbers 5 and 3 5-3phantomrule1em0ex-5-left-3rightphantomrule1em0ex-5-3phantomrule1em0ex5-left-3right. Place a dot at 4 on a number line.

3 5 4 3 2 1 0 1 2 3 4 5. Use chips to model addition and subtraction of positives and negatives. To subtract a negative integer move to the right on the number line.

Adding and Subtracting Integers with Chips. Use the number line to model addition and subtraction of integers and add and subtract integers. 2 the concept of difference.

To add a positive integer move to the right on the number line. 1 number line jumps. To subtract a positive integer move to the left on the number line.

Try These A Represent each integer below using both a number line and counters. Then we subtracted 3 3 negatives from 5 5 negatives to get 2 2 negatives. There are 2 station activities included in this bundle- one for addition of integers and one for subtraction of integers.

Explore the effect of zero pairs. Line up 4 positive counters to represent 4. If we have one positive counter and one negative counter the value of the pair is zero.

Integers give the increased challenge of working with negative numbers as well so the most useful tools here would be two-color counters and the use of number lines for certain operations. Use chips to model addition and subtraction of positives and negatives. 7 15 2 13 8 8 12 20 9 20 9 29 10 17 6 11 11 8 14 6 12 12 3 15 13 5 19 14 14 16 10 26 15 18 4 22 16 17 1 16 1 13 5 3 7 11 18 4 20 3 17.

If a board is used with the chip adding always mean Add something to the board and subtraction always mean Remove something from the board. See how to use zero pairs to help special cases of addition and subtraction. Find the difference between each pair of integers.

Lets look at some simpler examples of subtracting integers. I explain three different models you can use to show why subtraction of integers works.

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