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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

  • 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 Course)

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 Quadrants.

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 Quadrants.

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 Quadrants.

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 Quadrants.

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 Quadrants.

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 Quadrants.

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 Quadrants.

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 Quadrants.

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 Quadrants.

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



Example 3

Relations as Tables or a graph

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 or a graph

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 or a graph

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 or a graph

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 or a graph

Answer: The points appear to lie on a line.

Example 4B


End of the lesson
End of the Lesson or a graph


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