06_07_Intro_to_Graphing
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: How do we visually represent a relationship
between quantities?
Do Now:
The slowest mammal on Earth in the
tree sloth. It moves at a speed of 6 feet
per minute. Determine whether the
number of feet a sloth moves is
proportional to the # of minutes it
moves.
The Koala Bear is another tree
mammal. Their top speed is 2
miles/hour. Convert this rate to feet per
minute to compare to the sloth.
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06_07_Intro_to_Graphing
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: How do we visually represent a relationship between quantities?
0
6
12
18
24
Is there a way to visually represent the distance a sloth travels over time?
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06_07_Intro_to_Graphing
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim:
#
How do we visually represent a relationship between quantities?
The Coordinate Plane
The coordinate plane is formed by two number lines which are
perpendicular.
The x­axis is the horizontal number line.
The y­axis is the vertical number line.
Origin: The point of intersection of the x­axis and y­
axis. The coordinates are (0,0)
The Quadrants ­ The number lines separate the coordinate
plane into four sections called quadrants.
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06_07_Intro_to_Graphing
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim:
How do we visually represent a relationship between quantities?
Pairs/Plotting Points
#Any pointOrdered
on the coordinate plane can be
graphed using an ordered pair (x, y). The
address of any point.
To Plot a Point:
1) Start @ origin.
2) Move along the x‐axis to the number indicated by the first coordinate. [positive/right, negative/left]
3) Move along the y‐axis to the number indicated by the second coordinate.
[positive/up, negative/down]
10
­10
10
­10
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06_07_Intro_to_Graphing
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: How do we visually represent a relationship between quantities?
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06_07_Intro_to_Graphing
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: How do we visually represent a relationship between quantities?
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6
06_07_Intro_to_Graphing
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: How do we visually represent a relationship between quantities?
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7
06_07_Intro_to_Graphing
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: How do we visually represent a relationship between quantities?
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8
06_07_Intro_to_Graphing
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: How do we visually represent a relationship between quantities?
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9
06_07_Intro_to_Graphing
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: How do we visually represent a relationship between quantities?
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10
06_07_Intro_to_Graphing
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: How do we visually represent a relationship between quantities?
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11
06_07_Intro_to_Graphing
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: How do we visually represent a relationship
between quantities?
Summary!!!
Homework
Sheet 2-21
• In which quadrant will you find all points that are
positive?
• In which quadrant will you find all points that are
negative?
•
•
•
•
What must be true about all points in Quadrant II?
Where do we start when we plot points?
The x coordinate tells us which way to go?
The y coordinate tells us which way to go?
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06_07_Intro_to_Graphing
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: How do we visually represent a relationship
between quantities?
Do Now:
A)
B)
C)
D)
Homework: 1) Complete Handout
2) Midterm Signed
3) Midterm Corrections
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06_07_Intro_to_Graphing
September 20, 2016
1)
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06_07_Intro_to_Graphing
September 20, 2016
2)
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06_07_Intro_to_Graphing
September 20, 2016
3)
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06_07_Intro_to_Graphing
September 20, 2016
6)
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06_07_Intro_to_Graphing
September 20, 2016
7)
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06_07_Intro_to_Graphing
September 20, 2016
8)
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06_07_Intro_to_Graphing
September 20, 2016
9)
10)
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06_07_Intro_to_Graphing
September 20, 2016
11)
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