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## PowerPoint Slideshow about '5-Minute Check 1' - jaimie

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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 1You have already graphed numbers on number lines. (Previous Course)

- Use ordered pairs to locate points.

- Use graphs to represent relations.

coordinate system

- x-coordinate

- coordinate plane
- y-axis
- origin
- x-axis
- ordered pair

- y-coordinate
- graph
- relation
- domain
- range

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?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

QuadrantsY-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)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 1AGraph 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 1BIdentify 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 2AIdentify 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 2BDomain 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

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 3Relations 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 4ARelations as Graphs

EARNINGS José earns $5 an hour doing yard work.

B. Graph the ordered pairs and describe the graph.

Example 4B
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