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Warm Up

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Title: Warm Up


1
Warm Up
Problem of the Day
Lesson Presentation
Lesson Quizzes
2
Warm Up Use the number line to compare each pair
of integers. Write lt or gt. 1. 7 7 2. 8
3 3. 0 4 4. 2 5
gt
lt
gt
gt
3
Problem of the Day While delivering pizza,
Christian drove 4 miles south, 6 miles west, 2
miles north, 8 miles east, and then 2 miles
north. How far is Christian from where he started?
2 miles
4
Learn to locate and graph points on the
coordinate plane.
5
Vocabulary
coordinate plane axes x-axis y-axis quadrants orig
in coordinates x-coordinate y-coordinate
6
A coordinate plane is formed by two number lines
in a plane that intersect at right angles. The
point of intersection is the zero on each number
line.
  • The two number lines are called the axes.

7
A coordinate plane is formed by two number lines
in a plane that intersect at right angles. The
point of intersection is the zero on each number
line.
  • The horizontal axis is called the x-axis.

8
A coordinate plane is formed by two number lines
in a plane that intersect at right angles. The
point of intersection is the zero on each number
line.
  • The vertical axis is called the y-axis.

9
A coordinate plane is formed by two number lines
in a plane that intersect at right angles. The
point of intersection is the zero on each number
line.
  • The two axes divide the coordinate plane into
    four quadrants.

10
A coordinate plane is formed by two number lines
in a plane that intersect at right angles. The
point of intersection is the zero on each number
line.
  • The point where the axes intersect is called the
    origin.

11
Additional Example 1 Identifying Quadrants Name
the quadrant where each point is located. A. X
B. Y C. S
Quadrant IV
Quadrant III
Quadrant II
12
Check It Out Example 1 Name the quadrant where
each point is located. A. V B. Z C. T
Quadrant I
y-axis
no quadrant
Quadrant IV
Helpful Hint
Points on the axes are not in any quadrant.
13
An ordered pair gives the location of a point on
a coordinate plane. The first number tells how
far to move right (positive) or left (negative)
from the origin. The second number tells how far
to move up (positive) or down (negative). The
numbers in an ordered pair are called
coordinates. The first number is called the
x-coordinate. The second number is called the
y-coordinate. The ordered pair for the origin is
(0,0).
14
Additional Example 2A Locating Points on a
Coordinate Plane Give the coordinates of each
point. X
From the origin, X is 4 units right and 1 unit
down.
(4, 1)?
15
Additional Example 2B Locating Points on a
Coordinate Plane Give the coordinates of each
point. Y
From the origin, Y is 2 units left, and 3 units
down.
(2, 3)?
16
Additional Example 2C Locating Points on a
Coordinate Plane Give the coordinates of each
point. S
From the origin, S is 3 units left, and 3 units
up.
(3, 3)?
17
Check It Out Example 2A Give the coordinates of
each point. V
From the origin, V is 4 units right and 2 units
up.
(4, 2)?
18
Check It Out Example 2B Give the coordinates of
each point. Z
From the origin, Z is 0 units right, and 4 units
up.
(0, 4)?
19
Check It Out Example 2C Give the coordinates of
each point. T
From the origin, T is 1 unit right, and 3 units
down.
(1, 3)?
20
Additional Example 3 Graphing Points on a
Coordinate Plane Graph each point on a coordinate
plane. A. V(4, 2)? B. W(3, 1)?
4
From the origin, move 4 units right, and 2 units
up.
V
2
W
4 2 0 2 4
2
From the origin, move 3 units left, and 1 unit up.
4
21
Additional Example 3 Graphing Points on a
Coordinate Plane Graph each point on a coordinate
plane. C. Z(0, 4)? D. T(1, 3)?
4
From the origin, move 4 units down.
2
4 2 0 2 4
2
From the origin, move 1 unit right, and 3 units
down.
T
4
Z
22
Check It Out Example 3 Graph each point on a
coordinate plane. A. L(3, 4)? B. M(3, 3)?
L
4
From the origin, move 3 units right, and 4 units
up.
2
4 2 0 2 4
From the origin, move 3 units left, and 3 units
down.
2
M
4
23
Check It Out Example 3C Graph each point on a
coordinate plane. C. P(1, 2)? D. G(4, 2)?
From the origin, move 1 unit right and 2 units
down.
4
2
4 2 0 2 4
From the origin, move 4 units left, and 2 units
down.
2
G
P
4
24
Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems
25
Lesson Quiz
Name the quadrant where each ordered pair is
located. 1. (3, 5) 2. (4, 2) 3. (6, 2) 4.
(7, 9)? Give the coordinates of each
point. 5. A 6. B 7. C 8. D
III
IV
I
II
(1, 2)?
(2, 3)?
(0, 2)?
(2, 3)?
26
Lesson Quiz for Student Response Systems
1. Identify the quadrant where the ordered pair
(5, 8) is located. A. I B. II C. III D.
IV
27
Lesson Quiz for Student Response Systems
2. Identify the quadrant where the ordered pair
(3, 7) is located. A. I B. II C. III D.
IV
28
Lesson Quiz for Student Response Systems
3. Identify the quadrant where the ordered pair
(7, 4 ) is located. A. I B. II C. III D.
IV
29
Lesson Quiz for Student Response Systems
4. Identify the coordinates of point X. A. (4, 4)
B. (4, 4) C. (4, 4) D. (4, 0)
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