Transcript Add and Subtract Integers

Objectives
Homework:
SWBAT
- Discuss the location of points
and ordered pairs of given points
Complete “He’s the King”
worksheet
Bell Ringer
•5 minutes
•4 minutes
•3 minutes
•2 minutes
•1 minute
•30 seconds
•TIMES UP!!!
Objectives
SWBAT: Locate points in
all four quadrants
QUADRANTS
Homework:
Complete “He’s the King”
worksheet
1. What is the difference between quadrant
I and II?
2. What is the difference between quadrant
IV and III
Homework:
Objectives
Complete “He’s the King”
worksheet
SWBAT: Draw the coordinate plan and
label all important aspects
Quadrants
THE X-AXIS AND Y-AXIS SEPARATE THE
COORDINATE PLANE INTO FOUR REGIONS, CALLED
QUADRANTS.
II
(-, +)
I
(+, +)
III
(-, -)
IV
(+, -)
Objectives
SWBAT: Locate points in
all four quadrants
NUMBER
LINES:
Homework:
Complete “He’s the King”
worksheet
Breakthrough!!!
Take a 2nd number line, standing it on its end, and
cross the 1st number line at zero
Objectives
SWBAT: Locate points in
all four quadrants
AXES
Number lines drawn like this are called “axes”
(pronounced “ACK-seez”) – more than ONE axis
x- axis: The horizontal number line
y- axis: The vertical number line
Objectives
SWBAT: Locate points in
all four quadrants
COORDINATE
PLANE
Origin
• Two number lines, or axes, one vertical & one horizontal,
that intersect at their zero points, the origin.
• A pair of numbers that correspond to the point where
the two axes (number lines) cross each other
origin (0,0)
Objectives
SWBAT: Locate points in
all four quadrants
x-coordinate:
y-coordinate:
Ordered Pair
The first value in a coordinate pair.
Indicates position on the x-axis
The 2nd value in a coordinate pair. Indicates
position on the y-axis
Used to locate points on a coordinate plane
5
•
5
-5
-5
Objectives
SWBAT: Locate points in
all four quadrants
Ordered Pair
In an ordered pair, the first number is the
x-coordinate and the 2nd number is the ycoordinate
y-coordinate:
EXAMPLE:
GRAPH (-3, 2)
5
x-coordinate:
•
5
-5
-5
NAME THE QUADRANT IN WHICH EACH
POINT IS LOCATED
(-5, 4)
1.
2.
3.
4.
5.
6.
I
II
III
IV
None – x-axis
None – y-axis
NAME THE QUADRANT IN WHICH EACH
POINT IS LOCATED
(-2, -7)
1.
2.
3.
4.
5.
6.
I
II
III
IV
None – x-axis
None – y-axis
NAME THE QUADRANT IN WHICH EACH
POINT IS LOCATED
(0, 3)
1.
2.
3.
4.
5.
6.
I
II
III
IV
None – x-axis
None – y-axis
Objectives
SWBAT: Draw the coordinate plan and
label all important aspects
Graphing Points
To draw a dot at a point on the coordinate plane that
Graph an
Ordered Pair corresponds to an ordered pair. Also called:
“Plotting a point”
Steps to Graphing
Step 1: Start at the origin
Ordered Pairs
Step 2:
-If the x-coordinate is positive, move right the
number of units indicated.
-If the x-coordinate is negative, move left the
number of units indicated
Step 3:
-If the y-coordinate is positive, move up the
number of units indicated.
-If the y-coordinate is negative, move down the
number of units indicated
Step 4: Draw a dot
Step 5. Label the dot with the coordinate or letter given.
Objectives
SWBAT: Locate points in
all four quadrants
Plot each point on a
coordinate plane
• R(-4,1)
• S(0, -3)
• T(3, -2)
Plotting “R”
1. Move left 4 units
since the xcoordinate is -4
2. Move up 1 unit
since the ycoordinate is 1
3. Draw a dot and
label it R
5
•
-5 •
5
-5
Objectives
SWBAT: Locate points in
all four quadrants
Plot each point on a
coordinate plane
•
•
•
•
•
•
A(3, 5)
B(0, -3)
C(3, -2)
D(0, -1)
E(-2, 5)
F(-3, -4)
5
-5
5
-5
Homework:
OBJECTIVES
SWBAT
- DISCUSS THE LOCATION OF POINTS AND
ORDERED PAIRS OF GIVEN POINTS
DO NOW:
1.
Label the Axes
2.
Label each quadrant
3.
Plot the following
points









( 0,0)
(1, 2)
( 2, 1)
(5, 3)
(2, 5)
(-4, 3)
(3, -4)
(-1, -3)
(-3, -1)
Complete “He’s the King”
worksheet
Objectives
Homework:
SWBAT
- Discuss the location of points
and ordered pairs of given points
Complete “He’s the King”
worksheet
Review
Problems
Objectives
SWBAT
- Discuss the location of points
and ordered pairs of given points
Reflection:
Based on your knowledge of graphing and
what we have done in class so far explain, in AT
LEAST 4 complete sentences how, graphing can
be used to in everyday life.
Objectives
SWBAT
- Discuss the location of points
and ordered pairs of given points
Do Now:
Start the “He’s the King” worksheet.