Subtracting Integers Using Models
To subtract a negative integer move to the right on the number line. Explore the effect of zero pairs.
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See how to use zero pairs to help special cases of addition and subtraction.
Subtracting integers using models. One way of using the number line for subtracting integers is to move in the opposite direction of adding integers. Use the number line to model addition and subtraction of integers and add and subtract integers. ADD AND SUBTRACT INTEGERS USING COUNTERS We can use the following colored counters to model the sum of integers with different signs.
See how to use zero pairs to help special cases of addition and subtraction. Subtracting Integers 8 2 9 16 25 Find the dierence. 3 5 4 3 2 1 0 1 2 3 4 5.
The other color red will represent the negatives. We let one color blue represent positive. Adding and Subtracting Integers with Chips.
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. When we use counters we can think of subtraction the same way. 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.
1 number line jumps. Use chips to model addition and subtraction of positives and negatives. Line up 4 positive counters to represent 4.
Place a dot at 4 on a number line. First we subtracted 3 3 positives from 5 5 positives to get 2 2 positives. To add a positive integer move to the right on the number line.
Then we subtracted 3 3 negatives from 5 5 negatives to get 2 2 negatives. For example if the expression is asking students to subtract -2 from 4 written. Use chips to model addition and subtraction of positives and negatives.
1 -1 0. Find the difference between each pair of integers. For this standard students are using concrete models to represent integer operations and also to then connect those models to algorithms.
Printable yellow and red chips Station activity pages. To add a negative integer move to the left on the number line. When you add a positive integer yellow counter and a negative integer red counter the result is 0.
Explore the effect of zero pairs. We will model four subtraction facts using the numbers 5 and 3 5-3phantomrule1em0ex-5-left-3rightphantomrule1em0ex-5-3phantomrule1em0ex5-left-3right. Included in this resource.
Create New Preset How do Presets Work. 5 - 2 -5 - 2 -4 - -7. Lets look at some simpler examples of subtracting integers.
The opposite of 2 is - 2. Adding and Subtracting Integers with Chips. 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.
Subtract Integers Using Models CountersNumberline 6NSOC9 Know integer subtraction is the inverse of integer addition. You may draw the counters or use counters from your teacher. Try These A Represent each integer below using both a number line and counters.
2 the concept of difference. There are 2 station activities included in this bundle- one for addition of integers and one for subtraction of integers. This activity uses yellow and red chips to model the addition and subtraction of 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. 5 - 2 5 - 2 3. Adding and subtracting integers with modeling can be extremely helpful if you are having problems understanding integers.
I explain three different models you can use to show why subtraction of integers works. If we have one positive counter and one negative counter the value of the pair is zero. To subtract a positive integer move to the left on the number line.
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. 5 - 2. Represent the number 4 using counters and on a number line.
In modeling integers adding and subtracting are always physical actions. Each example used counters of only one color and the take away model of subtraction was easy to apply.
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