3 + (-5) = -2 3 + (-5)=-2 -6 -5 -4 -3 -2 01 2 3 4 56.

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Presentation transcript:

3 + (-5) = (-5)=

What models can be used to show addition and subtraction of positive and negative rational numbers?

Objective: Students will model adding integers using a number line and the positive/negative charge model.

Vocabulary Opposite Numbers – numbers that are the same distance from zero in the opposite direction

Click to Watch Video

Vocabulary Integers – Integers are all the whole numbers and all of their opposites on the negative number line including zero. -7 opposite 7

Vocabulary Zero Pairs: A pair of numbers whose sum is zero Math Minute

3 + 6 = 9 Adding Integers We can use positive & negative charges to help us add integers.

3 + (- 4) = - 1 Adding Integers

(-3 )+ 4 = 1 Adding Integers

= -7 Adding Integers

Click the Work Mat to begin practicing adding integers.

Graphic Organizer

Subtraction There is just 1 Simple Rule for subtracting integers. Add the Opposite! (Keep-change-change) animation

5 - 2 = = 3 Subtracting Integers KeepChangeChange

2 - 5 = = -3 Subtracting Integers Change to Addition

Click the Work Mat to begin practicing adding & subtracting integers.

Time to watch TV…. Click the TV to Watch the Video

Adding integers We can use a number line to help us add positive and negative integers. –2 + 5 = -23 = 3 1.Start at zero 2.Go to first number 3.Move in the direction and distance of the second number Example 1:

Example 2: –3 + –4 = = – Adding integers 1.Start at zero 2.Go to first number 3.Move in the direction and distance of the second number

5-3 Subtracting integers We can use a number line to help us subtract positive and negative integers. 5 – 8 == –35 + (-8) == –3 Example: 1 5 – (- 8) is the same as

3 – –6 = 39 = 9 Example: 2 3 – –6is the same as3 + 6 Subtracting integers == 9

= a. 3 b. -3 c. 8 d. -8

Great Job! Continue

Sorry, Try Again Integer Song Return to Practice

a. 1 b. -1 c. 7 d. -7

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Sorry, Try Again Integer Song Return to Practice

a. 5 b. -5 c. 11 d. -11

Great Job! Continue

Sorry, Try Again Integer Song Return to Practice

Subtracting Integers

keep, change, change Graphic Organizer If the problem is subtraction, change subtraction to adding the opposite and then follow the addition rule. Practice

a b c d

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Sorry, Try Again Hint Return to Practice

keep, change, change Graphic Organizer If the problem is subtraction, change subtraction to adding the opposite and then follow the addition rule. Practice

Return to Hint Practice

2 – 10 = a b. 2 + (- 10)2 + (- 10) c. (-2) + 10(-2) + 10

Great Job! Continue

Sorry, Try Again Hint Return to Practice

keep, change, change Graphic Organizer If the problem is subtraction, change subtraction to adding the opposite and then follow the addition rule. Practice

Return to Hint Practice

a b c. 5 5 d. 9 9

Great Job! Integer Interactive Games Integer Interactive Games

keep, change, change Graphic Organizer If the problem is subtraction, change subtraction to adding the opposite and then follow the addition rule. Practice

Return to Hint Practice

Integer Interactive