Integers Standard:. Integer Integer: {…, -3, -2, -1, 0, 1, 2, 3, …} Positives, Negatives, and...

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IntegersStandard:

IntegerInteger: {…, -3, -2, -1, 0, 1, 2, 3, …} Positives, Negatives,

and zero

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No decimals, no fractions

Write in your notes...Write in your notes...

Origin:– The point on the number line labeled zero

Real Numbers:– AnyAny number that is positive, negative, or

zero

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Origin Positive Negative

WatchWatch the next two vocabulary words…

Tell you partner in your own words:

What is “origin” and what are real numbers?

Integer or Real Number?

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Real Number

Integer

Shout out!

With your partner…1. Determine who will be shoulder-partner A and shoulder-

partner B2. Person A will name the first number in the following

example3. Person B names the second number, then Person A the

next…4. Name the order of all the numbers in the coming example

The first number is…

The next one is…

Which is Greater?

5, 2, -4, 0, -1

-4, -1, 0, 2, 5

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PositiveNumbers

Negative Numbers

Moving on the Number Line

+ means a move to the _______ on the number line

-- means a move to the _______ on the number line

right

left

Choral Response

Pencils down…

•Watch the next two examples…

•Look for patterns

Practice

5 + (-7)

+3

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right

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= -2

In your notes...

• When adding two numbers with the same sign (++ or - -):

Add the number and keep the sign the same

5 + 3 = 8Example:

-13 + (-4) =-17

Armando earned $10 by doing his chores at home, and this is all the money he has.

He discovers… he lost his math book!! Armando now owes the school $58 for that nice textbook.

Using his $10 to start paying it off, how much more does he have to pay?

Story Time

Tell your neighbor how to find how much $$ Armando owes.

To find theAmount of money...

Mathematically, it looks like this:

$10 + -$58

= -$48

Or 10 + (-58) = -48

Shout out!

The answer is… The answer is…The answer is…

The answer is…The answer is…

- 4 + 7

Example 3: Example 4:

-11 + 8

= 3 = -3

In your notes:

Write a what you think might be the rule for adding integers with different signs.

Compare your definitions with your partner’s definitions.

Add to your definitions or revise them if necessary.

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