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A B C D. Name the property shown by the statement (4 b ) c = 4( bc ). A. Multiplicative Identity B. Additive Identity C. Associative Property of Addition D. Associative Property of Multiplication. Name the property shown by the statement 4 y + 0 = 4 y .

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5 minute check 1
A

B

C

D

Name the property shown by the statement (4b)c = 4(bc).

A. Multiplicative Identity

B. Additive Identity

C. Associative Property of Addition

D. Associative Property of Multiplication

Name the property shown by the statement 4y + 0 = 4y.

A. Multiplicative Identity

B. Additive Identity

C. Commutative Property of Addition

D. Associative Property of Addition

5-Minute Check 1
then now
You have already graphed numbers on number lines. (Previous Course)
  • Use ordered pairs to locate points.
  • Use graphs to represent relations.
Then/Now
vocabulary
coordinate system
  • x-coordinate
  • coordinate plane
  • y-axis
  • origin
  • x-axis
  • ordered pair
  • y-coordinate
  • graph
  • relation
  • domain
  • range
Vocabulary
what is the coordinate plane
It is two intersecting lines drawn to find locations

These intersecting lines are the x-axis (horizontal axis) and the y-axis (vertical axis)

These locations are called ordered pairs. An ordered pair is written as its x-value and its y-value or (x,y)

Example: (3,4) means go 3 right and 4 up.

The point (0,0) is referred to as the origin

What is the coordinate plane?
quadrants
The intersecting lines break the coordinate plane into four Quadrants.

These regions allow us to locate on a coordinate plane where certain points are located

Quadrants
i give you the coordinate plane we need graph paper now
Y-axis

Quadrant 2

(-,+)

Quadrant 1

(+,+)

X-axis

Quadrant 3

(-,-)

Quadrant 4

(+,-)

Origin (0,0)

I give you the Coordinate Plane (we need graph paper now)
example 1a
Graph Ordered Pairs

A. Graph the ordered pair (3, 4) on a coordinate plane.

Answer:

Step 1 Start at the origin.

Step 2 Since the x-coordinate is 3, move 3 units to the right.

Step 3 Since the y-coordinate is 4, move 4 units up. Draw a dot.

Example 1A
example 1b
Graph Ordered Pairs

B.Graph the ordered pair (0, 2) on a coordinate plane.

Answer:

Step 1 Start at the origin.

Step 2 Since the x-coordinate is 0, you will not need to move to the right.

Step 3 Since the y-coordinate is 2, move 2 units up. Draw a dot.

Example 1B
example 1a1
A

B

C

D

A. B.

C.D. none of the above

A.Graph the ordered pair (2, 5) on a coordinate plane.

Example 1A
example 1b1
A

B

C

D

A.B.

C.D. none of the above

B.Graph the ordered pair (4, 0) on a coordinate plane.

Example 1B
example 2a
Identify Ordered Pairs

A.Write the ordered pair that names point G.

Step 1 Start at the origin.

Step 2 Move right on the x-axis to find the x-coordinate of point G, which is 1.

Step 3 Move up the y-axis to find the y-coordinate, which is 1.

Answer: The ordered pair for G is (1, 1).

Example 2A
example 2b
Identify Ordered Pairs

B.Write the ordered pair that names point H.

Step 1 Start at the origin.

Step 2 Move right on the x-axis to find the x-coordinate of point H, which is 4.

Step 3 Since the y-coordinate is zero, you will not need to move up.

Answer: The ordered pair for H is (4, 0).

Example 2B
example 2a1
A

B

C

D

A. Write the ordered pair that names point A.

A. (2, 5)

B. (3, 5)

C. (2, 3)

D. (3, 2)

Example 2A
example 2b1
A

B

C

D

B. Write the ordered pair that names point B.

A. (6, 6)

B. (0, 6)

C. (0, 0)

D. (6, 0)

Example 2B
slide16
Domain is the collection of all the x-values in a relation or a graph
  • Range is the collection of all the y-values in a relation or a graph
example 3
Relations as Tables

Express the relation {(1, 4), (2, 2), (3, 0), (0, 2)} as a table. Then determine the domain and range.

Answer:

The domain is {0,1, 2, 3}.

The range is {0, 2, 4}.

Example 3
example 31
A

B

C

D

Express the relation {(4, 1), (3, 2), (0, 1), (2, 3)} as a table. Then determine the domain and range.

A. D = {1, 2, 3}, R = {0, 2, 3, 4}

B. D = {0, 2, 3, 4}, R = {1, 2, 3}

C. D = {2, 3, 4}, R = {1, 2, 3}

D. D = {1, 2, 3}, R = {2, 3, 4}

Example 3
example 4a
Relations as Graphs

EARNINGS José earns $5 an hour doing yard work.

A. Make a table of ordered pairs in which the x-coordinate represents the hours worked and the y-coordinaterepresents the amount of money José earns for 1, 2, 3, and 5 hours of work.

Answer:

Example 4A
example 4b
Relations as Graphs

EARNINGS José earns $5 an hour doing yard work.

B. Graph the ordered pairs and describe the graph.

Example 4B
example 4b1
Relations as Graphs

Answer: The points appear to lie on a line.

Example 4B
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