integers standard:. integer integer: {…, -3, -2, -1, 0, 1, 2, 3, …} positives, negatives, and...

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Integers Standard:

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Page 1: Integers Standard:. Integer Integer: {…, -3, -2, -1, 0, 1, 2, 3, …} Positives, Negatives, and zero 01234-2-3-45-5 No decimals, no fractions Write in your

IntegersStandard:

Page 2: Integers Standard:. Integer Integer: {…, -3, -2, -1, 0, 1, 2, 3, …} Positives, Negatives, and zero 01234-2-3-45-5 No decimals, no fractions Write in your

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

and zero

0 1 2 3 4-1-2-3-4 5-5

No decimals, no fractions

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

Page 3: Integers Standard:. Integer Integer: {…, -3, -2, -1, 0, 1, 2, 3, …} Positives, Negatives, and zero 01234-2-3-45-5 No decimals, no fractions Write in your

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…

Page 4: Integers Standard:. Integer Integer: {…, -3, -2, -1, 0, 1, 2, 3, …} Positives, Negatives, and zero 01234-2-3-45-5 No decimals, no fractions Write in your

Tell you partner in your own words:

What is “origin” and what are real numbers?

Page 5: Integers Standard:. Integer Integer: {…, -3, -2, -1, 0, 1, 2, 3, …} Positives, Negatives, and zero 01234-2-3-45-5 No decimals, no fractions Write in your

Integer or Real Number?

0 1 2 3 4-1-2-3-4 5-5

0 1 2 3 4-1-2-3-4 5-5

Real Number

Integer

Shout out!

Page 6: Integers Standard:. Integer Integer: {…, -3, -2, -1, 0, 1, 2, 3, …} Positives, Negatives, and zero 01234-2-3-45-5 No decimals, no fractions Write in your

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…

Page 7: Integers Standard:. Integer Integer: {…, -3, -2, -1, 0, 1, 2, 3, …} Positives, Negatives, and zero 01234-2-3-45-5 No decimals, no fractions Write in your

Which is Greater?

5, 2, -4, 0, -1

-4, -1, 0, 2, 5

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PositiveNumbers

Negative Numbers

Page 8: Integers Standard:. Integer Integer: {…, -3, -2, -1, 0, 1, 2, 3, …} Positives, Negatives, and zero 01234-2-3-45-5 No decimals, no fractions Write in your

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

Page 9: Integers Standard:. Integer Integer: {…, -3, -2, -1, 0, 1, 2, 3, …} Positives, Negatives, and zero 01234-2-3-45-5 No decimals, no fractions Write in your

Pencils down…

•Watch the next two examples…

•Look for patterns

Page 10: Integers Standard:. Integer Integer: {…, -3, -2, -1, 0, 1, 2, 3, …} Positives, Negatives, and zero 01234-2-3-45-5 No decimals, no fractions Write in your

Practice

5 + (-7)

+3

0 1 2 3 4-1-2-3-4 5-5

right

0 1 2 3 4-1-2-3-4 5-5

= -2

Page 11: Integers Standard:. Integer Integer: {…, -3, -2, -1, 0, 1, 2, 3, …} Positives, Negatives, and zero 01234-2-3-45-5 No decimals, no fractions Write in your

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

Page 12: Integers Standard:. Integer Integer: {…, -3, -2, -1, 0, 1, 2, 3, …} Positives, Negatives, and zero 01234-2-3-45-5 No decimals, no fractions Write in your

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

Page 13: Integers Standard:. Integer Integer: {…, -3, -2, -1, 0, 1, 2, 3, …} Positives, Negatives, and zero 01234-2-3-45-5 No decimals, no fractions Write in your

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

To find theAmount of money...

Page 14: Integers Standard:. Integer Integer: {…, -3, -2, -1, 0, 1, 2, 3, …} Positives, Negatives, and zero 01234-2-3-45-5 No decimals, no fractions Write in your

Mathematically, it looks like this:

$10 + -$58

= -$48

Or 10 + (-58) = -48

Page 15: Integers Standard:. Integer Integer: {…, -3, -2, -1, 0, 1, 2, 3, …} Positives, Negatives, and zero 01234-2-3-45-5 No decimals, no fractions Write in your

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

Page 16: Integers Standard:. Integer Integer: {…, -3, -2, -1, 0, 1, 2, 3, …} Positives, Negatives, and zero 01234-2-3-45-5 No decimals, no fractions Write in your

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.

Page 17: Integers Standard:. Integer Integer: {…, -3, -2, -1, 0, 1, 2, 3, …} Positives, Negatives, and zero 01234-2-3-45-5 No decimals, no fractions Write in your

0 1 2 3 4-1-2-3-4 5-5