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Objectives The student will be able to: 1. State the coordinate of a point on a number line. 2. Graph integers on a number line. 3. Add and subtract integers. SOL: none Designed by Skip Tyler, Varina High School

Objectives The student will be able to:

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Objectives The student will be able to:. 1. State the coordinate of a point on a number line. 2. Graph integers on a number line. 3. Add and subtract integers. SOL: none. Designed by Skip Tyler, Varina High School. The Number Line. Integers = {…, -2, -1, 0, 1, 2, …} - PowerPoint PPT Presentation

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Page 1: Objectives The student will be able to:

ObjectivesThe student will be able to:

1. State the coordinate of a point on a number line.

2. Graph integers on a number line.

3. Add and subtract integers.

SOL: none

Designed by Skip Tyler, Varina High School

Page 2: Objectives The student will be able to:

The Number Line

Integers = {…, -2, -1, 0, 1, 2, …}

Whole Numbers = {0, 1, 2, …}

Natural Numbers = {1, 2, 3, …}

-5 0 5

Page 3: Objectives The student will be able to:

To GRAPH a set of numbers means to locate and mark the points on the number line.

Graph {-1, 0, 2}.

• • •

Be sure to put the dots on the line - not above or below.

0 5-5

Page 4: Objectives The student will be able to:

Name the set of numbers graphed.

{-2, -1, 0, . . . }

The darkened arrow means that the graph keeps on going. When you see this, put

3 dots in your set.

0 5-5 • • • • • • • • •

Page 5: Objectives The student will be able to:

Examples: Use the number line if necessary.

4

2) (-1) + (-3) =

-4

3) 5 + (-7) =

-2

0 5-5

1) (-4) + 8 =

Page 6: Objectives The student will be able to:

Addition Rule1) When the signs are the same,

ADD and keep the sign.(-2) + (-4) = -6

2) When the signs are different,

SUBTRACT and use the sign of the larger number.

(-2) + 4 = 2

2 + (-4) = -2

Page 7: Objectives The student will be able to:

Karaoke Time!Addition Rule: Sung to the tune of

“Row, row, row, your boat”

Same signs add and keep,different signs subtract,

keep the sign of the higher number,then it will be exact!

Can your class do different rounds?

Page 8: Objectives The student will be able to:

-1 + 3 = ?1. -4

2. -2

3. 2

4. 4

Answer Now

Page 9: Objectives The student will be able to:

-6 + (-3) = ?1. -9

2. -3

3. 3

4. 9

Answer Now

Page 10: Objectives The student will be able to:

The additive inverses (or opposites) of two numbers add to equal zero.

-3

Proof: 3 + (-3) = 0

We will use the additive inverses for subtraction problems.

Example: The additive inverse of 3 is

Page 11: Objectives The student will be able to:

What’s the difference between7 - 3 and 7 + (-3) ?7 - 3 = 4 and 7 + (-3) = 4

The only difference is that 7 - 3 is a subtraction problem and 7 + (-3) is an addition problem.

“SUBTRACTING IS THE SAME AS ADDING THE OPPOSITE.”

(Keep-change-change)

Page 12: Objectives The student will be able to:

When subtracting, change the subtraction to adding the opposite (keep-change-change)

and then follow your addition rule.

Example #1: - 4 - (-7)- 4 + (+7)

Diff. Signs --> Subtract and use larger sign.3

Example #2: - 3 - 7- 3 + (-7)

Same Signs --> Add and keep the sign.-10

Page 13: Objectives The student will be able to:

11b + (+2b)

Same Signs --> Add and keep the sign.

13b

Okay, here’s one with a variable!Example #3: 11b - (-2b)

Page 14: Objectives The student will be able to:

Which is equivalent to-12 – (-3)?

Answer Now

1. 12 + 3

2. -12 + 3

3. -12 - 3

4. 12 - 3

Page 15: Objectives The student will be able to:

7 – (-2) = ?

Answer Now

1. -9

2. -5

3. 5

4. 9

Page 16: Objectives The student will be able to:

1) If the problem is addition, follow your addition rule.

2) If the problem is subtraction, change subtraction to adding the opposite (keep-change-change) and then follow the addition rule.

Review

Page 17: Objectives The student will be able to:

Absolute Valueof a number is the distance from

zero.

Distance can NEVER be negative!

The symbol is |a|, where a is any number.

Page 18: Objectives The student will be able to:

Examples

7 = 7

10

100

10 =

-100 =

5 - 8 = -3= 3

Page 19: Objectives The student will be able to:

|7| – |-2| = ?1. -9

2. -5

3. 5

4. 9

Answer Now

Page 20: Objectives The student will be able to:

|-4 – (-3)| = ?

Answer Now

1. -1

2. 1

3. 7

4. Purple