Angry Birds Project

advertisement
Angry Birds Quadratics Project
Red Bird, Yellow Bird, Blue Bird and Black Bird are angry with the pigs. The pigs stole the bird’s eggs. The birds want their eggs and will stop at nothing to get them back! The flight path of the birds can be modeled with a parabola. Use “x” as the distance and “y” as the height. Step 1: The data for each bird is attached. For each bird, you need to determine the following: 1) The maximum height 2) The axis of symmetry 3) The distance traveled Step 2: Create a graph representing each bird’s trajectory. Include the pigs on the graph. Step 3: Answer the following questions: 1) Which bird flew the highest? 2) Which bird flew the longest? 3) Which bird hit which pig? Step 4: Present your information any way you wish. Make sure that your project includes all parts (with your calculations) and is neat. Grading Rubric for Angry Birds Project
Points
Calculations (x2)
Graph (x2)
Questions
Presentation
4
All calculations are
accurate.
Graph is accurate.
All parts of the graph
are labeled. Each
bird and pig is
included.
All questions are
answered correctly.
Professional looking,
no grammatical
errors. Neat and
colorful.
3
Most calculations are
accurate.
Graph is mostly
accurate. Most parts
are labeled. Each
bird and pig is
included.
Most questions are
answered correctly
Nice execution, may
have minor errors.
Neat and colorful.
2
Some calculations
are accurate.
Some of graph is
accurate. Some
parts are labeled.
Birds or pigs may be
missing.
Some questions are
answered correctly.
Pretty rough, lots of
errors. Neat or
colorful.
1
None of the
calculations are
accurate
Graph lacks
accuracy. Not
labeled, Birds or pigs
missing.
None of the questions
are answered
correctly.
Amateur hour, errors
distract from
information.
Neatness is lacking.
A: 22 – 24
B: 17 – 21
C: 12 – 16
These scores will be converted to a grade out of 50 points
D: 7 – 11
F: 0 – 6
Version 1:
Red Bird starts his stflight from point (10, 0). His flight path reaches a maximum
ED
height of 18 yards1and
lands at point (38,0)
Red Bird
NAME:______________________________
Red Bird has starts his flight from point (10, 0). His flight
path reaches a maximum height of 18 yards and lands at point (38, 0).
1stED
Yellow Bird’s
flight path can be modeled by the quadratic equation
Yellow
Bird
Blue
Bird
y = -x +14x – 24
1stED
2
1stED
NAME:_______________________________
NAME:______________________________
Yellow Bird’s flight path can be modeled by the quadratic
Blue Bird’s
flight is represented by the graph below.
equation y = — x21+stED
14x — 24.
“The Parabolic Edition”
Blue Bird’s flight
1stEDis represented by the graph below.
Red Bird, Yellow Bird, Blue Bird and Black Bir
NAME:______________________________
the pigs. The pigs stole the bird’s eggs. The
eggs back and will stop at nothing to get them
15 flight is represented
st by the graph below.
Blue Bird’s
1 ED path of the birds can be modeled with a para
0
10 Bird and Black Bird areUse
Red Bird, Yellow Bird, Blue
angry
“x” with
as the distance
and “y” as the height.
NAME:________________________
0
the pigs. The pigs stole 5the bird’s eggs. The birds want their
eggs back and will stop at nothing to get them back.
The
flight
First,
each
student in your group will be assig
path of the birds
cantable
be modeled
with
a parabola.
0 below
26
memberdata
will answer the following questions fo
The
contains
partial
Maximum Height:_____15 Axis of Symmetry_____
Distance Traveled:_____
Use “x” as the distance and “y” as the height.
points of 010
Black Birds
trajectory.
st
Questions? [email protected]
1height
ED partial
1. WhatThe
is the
your
flew?
tablemaximum
below contains
databird
points
of Black
Bird’s trajectory.
0
First, each
student
in your
group
will
be
assigned
a bird.
Each
5theoftotal
NAME:_______________________________
2.
What
was
distance
your
bird
traveled?
Maximum
Height:_____
Axis
Symmetry_____
Distance
Traveled:_____
member will answer thexfollowing
bird.16 17
8
9 questions
10
11 for
12 their
13 assigned
14Questions?15
18
[email protected]
Maximum Height:_____ Axis of0Symmetry_____26 Distance Traveled:_____
7.5 contains
14 flew
19.5
24 highest
27.5
30
31.5 32 the
31.5 longest.
The table
below
partial
data
Next, determine
bird
the
and traveled
y 0whose
ur bird flew?
Questions? [email protected]
points of Black Birds trajectory.
ur bird traveled?
Finally, figure out which bird hit the following pigs.
x 8 9 10 11 12 13 14 15 16 17 18
y 0 7.5 14 19.5 24 27.5 30 31.5 32 31.5
ghest and traveled the longest.
Blue Bird
Parabolic Edition”
Black Bird
Black Bird
King Pig isAxis
located
at point (21, 19.5)Distance Traveled:_____
Maximum Height:_____
of Symmetry_____
lowing pigs.
1, 19.5)
1. King Pig located at point (21, 19.5)
2. Moustache Pig located
Questions? [email protected]
Moustache Pig is located at point (9, 21)
2. Moustache Pig located at point (9, 21)?
Q
Questions? [email protected]
Red Bird
2 ED
NAME:_______________________________
Version 2: Red Bird’s flight is represented by the graph below.
Red Bird’s flight is represented
by the graph below.
st
Red Bird
1 ED
NAME:______________________________
Red Bird has starts his flight from point (10, 0). His flight
18
nd
path reaches a maximum height of 18 yards 2andED
lands at point (38, 0).
Yellow Bird
12
1stED
NAME:______________________
6
“The Parabolic
Edition”
partial data
st
1 ED
The 0table below24contains
points of Yellow
Birds
trajectory.
Red Bird,
Yellow Bird, Blue Bird and Black Bir
1 ED
Yellow Bird
st
The table below contains partial NAME:_______________________________
data points of Yellow Bird’s trajectory.
the pigs. The pigs stole the bird’s eggs. The
will stop
to get them
12 13
14
15 16eggs
17 back
18and 19
20 at
21 nothing
22
x Axis
Yellow Bird’s
flight
path can be modeled
by theTraveled:_____
quadratic
Maximum Height:_____
of Symmetry_____
Distance
0 11
20
27 32path
35 of the
36 birds
35 can be modeled with a para
equation yy = — x2 + 14x — 24.
Red Bird, Yellow Bird, Blue Bird and Black Bird areUse
angry
“x” with
asQuestions?
the [email protected]
distance and “y” as the height.
the pigs. The pigs stole the bird’s eggs. The birds want their
eggs back and will stop at nothing to get them back.
The
flight
First,
each
student in your group will be assig
Blue Bird starts
his flight from point (6, 0). His flight path reaches a maximum
1 ED
path of the birds can be
modeled
withand
a parabola.
member
height
of 22 yards
lands at point
(26, 0)will answer the following questions fo
NAME:______________________________
Use “x” as the distance and “y” as the height.
Parabolic Edition”
st
Blue Bird
Maximum Height:_____
Axis of Symmetry_____
Distance Traveled:_____
1. What is the maximum height your bird flew?
Blue
flight is
represented
by the
graphEach
below.Questions? [email protected]
First, each student
in Bird’s
your
group
will
be
assigned
a bird.
2. What
was
the total
distance
your
bird traveled?
member will answer the following questions
for their assigned bird.
1stED
Black Bird’s flight path can be modeled by the quadratic equation
Black Bird
2
Next, determine whose
flew
and traveled the longest.
y = -xbird
+16x
– 39the highestNAME:_______________________________
ur bird flew?
ur bird traveled?
Finally, figure
outbelow
whichcontains
bird hitpartial
the following
pigs.
The table15
data
points of0Black Birds trajectory.
Maximum Height:_____ 10
Axis of Symmetry_____ Distance Traveled:_____
ghest and
traveled the longest.
King Pig
0 is located at point (22, 20)
Questions? [email protected]
1. King
(21,
19.5)
2. Moustache Pig located
5 9 located
10
11 at
12 point
13
14
15 16 17
18
x 8Pig
0
7.5
14
19.5
24
27.5
30
31.5
32
31.5
y
lowing pigs.
Maximum Height:_____0
1, 19.5)
26
Axis of Symmetry_____
Distance Traveled:____
Moustache Pig is located at point (11, 16)
Questions? sergio.
2. Moustache Pig located at point (9, 21)?
Q
Maximum Height:_____
Axis of Symmetry_____
Distance Traveled:_____
Questions? [email protected]
Questions? [email protected]
Red Bird
Version 3:
NAME:_______________________
The table below contains partial data
points of Red Birds trajectory.
The table below contains
partial data points of Red Bird’s trajectory.
st
Red
Bird
Yellow
7
8
x 6Bird
1 3ED
rd
ED
NAME:______________________________
NAME:_______________________________
9
10
11
12
13 14 15
40 45
49 0).48
Red Bird 0
has 24
starts33his flight
from48
point (10,
His flight
Yellow
Bird’sa flight
is represented
the graph
below.
path
reaches
maximum
height of 18by
yards
and lands
at point (38, 0).
y
16
1stED
Yellow Bird’s
flight is represented by the graph below.
Yellow
Bird
1stED
NAME:_______________________________
“The Parabolic Edition”
Yellow Bird’s flight
1stpath
ED can be modeled by the quadratic
2
equation y = — x + 14x — 24.
21
Red Bird, Yellow Bird, Blue Bird and Black Bir
the pigs. The pigs stole the bird’s eggs. The
7
eggs back and will stop at nothing to get them
path of the birds can be modeled with a para
0
18
Red Bird, Yellow Bird, Blue Bird and Black Bird areUse
angry
“x” with
as the distance and “y” as the height.
the pigs. The pigs stoleBlue
theBird’s
bird’s
Thebebirds
want
their
flight
modeled
by the
quadratic equation
1eggs.
EDpath can
2
y = -x
– 64 back.
eggs back and will stop at nothing
to +20x
get them
The
flight
First,
each
student in your group will be assig
NAME:______________________________
path of the birds can be modeled with a parabola.member will answer the following questions fo
Use “x”
as
theHeight:_____
distance
and flight
“y”Axis
asisSymmetry_____
the
height. by the
Maximum
of
Distance
Maximum
Height:_____
of
Symmetry_____
Distance
Traveled:_____
Blue Bird’s Axis
represented
graphTraveled:_____
below.
14
Parabolic Edition”
st
Blue Bird
Maximum Height:_____
Axis of Symmetry_____
1. What is the maximum height your bird flew?
Distance Traveled:_____
First, each student
in your
group
will be
assigned
a bird.
Each
2. What
was
the total
distance
your
bird traveled?
Questions? sergio.a
st
1
ED
Maximum Height:_____
Axis
of
Symmetry_____
Distance
Traveled:_____
Bird starts
his flight for
fromtheir
point (4,
0). His flight
path reaches a maximum
member will answer theBlack
following
questions
assigned
bird.
Questions?
[email protected]
Questions?
[email protected]
height of 28
yards and lands at point (38, 0)
Black
Bird
NAME:_______________________________
Questions? [email protected]
Next, determine whose bird flew the highest and
traveled the longest.
ur bird flew?
15
The
table
below contains partial data
ur bird traveled?
Finally, figure out010
which bird hit the following pigs.
points of Black Birds trajectory.
0
5
ghest and traveled the longest.
8 is
9 located
10
11at point
12 13(17,14
x Pig
King
24) 15 16 17 18
0
7.5
14
19.5
24
27.5
30
31.5
32 31.5
1. King
Pig
located
at
point
(21,
19.5)
2. Moustache Pig located
y
0
26
lowing pigs.
1, 19.5)
Moustache Pig is located at point (13, 27)
2. Moustache Pig located at point (9, 21)?
Maximum Height:_____
Axis of Symmetry_____
Distance Traveled:_____
Questions? [email protected]
Q
Version 4:
Red Bird’s flight path
can be modeled by the quadratic equation
1stED
y = -x2 +12x
– 11
Red Bird
NAME:______________________________
Red Bird has starts his flight from point (10, 0). His flight
th
EDyards and lands at point (38, 0).
path reaches a maximum height
of4 18
st
Yellow Bird
Bird
Blue
1stED
Yellow Bird launches off from point
(10, 0). His flight path reaches a maximum
NAME:_______________________________
NAME:______________________
height of 22 yards and lands at point (42, 0)
1 ED
Yellow Bird’s flight path can be modeled by the quadratic
equation y = — x2 +st 14x — 24.
1 ED“The
The table below
containsParabolic
partial data
points of Blue Birds trajectory.
Edition”
The table below
1stEDcontains partial data points of Blue Bird’s trajectory.
Red Bird, Yellow Bird, Blue Bird and Black Bir
th
Blue Bird
Black
Parabolic Edition”
4
5
6
xBird
4 ED
the pigs.
The pigs stole the bird’s eggs. The
NAME:______________________________
NAME:_______________________________
7
8 eggs
9 back
10 and11will 12
14
stop13
at nothing
to get them
0
13
24
33
40
45
48
49
48
y flight is represented by the
Blue Bird’s
graph
below.
path
of the
birds can be modeled with a para
Black
Bird’s
flight
is
represented
by
the
graph
below.
Red Bird, Yellow Bird, Blue Bird and Black Bird areUse
angry
“x” with
as the distance and “y” as the height.
the pigs. The pigs stole the bird’s eggs. 1stThe
birds want their
ED
Black Bird’s flight is represented
by the graph below.
eggs back and will stop at nothing to get them back.
The
flight
First,
each
student in your group will be assig
NAME:_______________________________
path of the birds can be modeled with a parabola.member will answer the following questions fo
Use “x” as
the distance
and 15
“y”Axis
as of
the
height.
Maximum
Height:_____
Symmetry_____
Distance Traveled:_____
The table below contains partial data
0
24
1. What
is of
the
maximum
height your bird flew? Questions? [email protected]
10
points
Black
Birds trajectory.
Maximum
Height:_____
of will
Symmetry_____
Traveled:_____
First, each
student
in your
group
be assignedDistance
a bird.
Each
0Axis
2.
What
was
16
5the total distance your bird traveled?
member will answer the following
their
bird.
[email protected]
10
11 12 for
13
14
15assigned
16 Questions?
17
18
x8 8 9 questions
0 7.5 14 19.5 24 27.5
30
31.5 32 31.5
y
Next, determine whose
0 bird flew the
26 highest and traveled the longest.
ur bird flew?
0
22
ur bird traveled?
Finally, figure out which bird hit the following pigs.
Black Bird
ghest and traveled the longest.
King Pig is located at point (6, 25)
Maximum Height:_____
of Symmetry_____
Distance Traveled:_____
1. King PigAxis
located
at point (21, 19.5)
2.
lowing
pigs. Height:_____
Maximum
Moustache Pig located
Axis of Symmetry_____
Distance Traveled:_____
Questions? [email protected]
Maximum Height:_____
Axis of Symmetry_____
Distance Traveled:_____
1, 19.5)
Moustache Pig is located at point (15, 33)
Questions? [email protected]
Questions? sergio.al
2. Moustache Pig located at point (9, 21)?
Q
Maximum Height:_____
Axis of Symmetry_____
Distance Traveled:_____
Questions? [email protected]
Questions? [email protected]
Red Bird
NAME:_______________________________
Red Bird’s flight is represented by the graph below.
Version 5:
Red Bird’s flight is strepresented by the graph below.
Red Bird
1 ED
NAME:______________________________
Red Bird has starts his flight from point (10, 0). His flight
path reaches 30
a maximum height of 18 yards and lands at point (38, 0).
20
10
0
1stED
“The32 Parabolic Edition”
1stED
YellowBird
Bird
Blue
Parabolic Edition”
5th ED
Red Bird, Yellow Bird, Blue Bird and Black Bir
Yellow Bird has a launch point ofthe
(2, 0).
His flight
a maximum
pigs.
The path
pigsreaches
stole the
bird’s eggs. The
NAME:_______________________________
NAME:______________________
height of 20 yards and lands at point (26, 0)
eggs back and will stop at nothing to get them
Yellow Bird’s flight path can be modeled
by the
path
of quadratic
the birds can be modeled with a para
2
equation
y
=
—
x
+
14x
—
24.
RedMaximum
Bird, Yellow
Bird,The
Blue Bird
Black Bird
areUse
angry
with
table
contains
partial
data
Height:_____
Axisand
ofbelow
Symmetry_____
Distance
Traveled:_____
“x”
as the
distance and “y” as the height.
the pigs. The pigs stole
the bird’s
eggs. Birds
The birds
want trajectory.
their
points
of Blue
flight
Questions? [email protected]
table below
partial
data
points
of Blue
Bird’s
1 EDcontains
eggs back and will stop The
at nothing
to
get them
back.
The
flight
First,
each
student
intrajectory.
your group will be assig
path of the birds can be modeled with a parabola.member
will answer the following questions fo
NAME:______________________________
Maximum
Height:_____
Axis
of
Symmetry_____
Distance
Traveled:_____
2
3
4
5
6
7
8
9
10
11
12
x
Use “x” as the distance and “y” as the height.
1stED
st
Blue Bird
y the
Bird’s
flight
is represented
the bird
graphflew?
below.Questions? [email protected]
1. Blue
What
is
maximum
heightby
your
First, each student
in your
group
will be
assigned
a bird.
Each
2. What
was
the total
distance
your
bird traveled?
member will answer the following questions
for their assigned bird.
1stED
0
9
16
21
24
25
24
Black Bird’s flight path can be modeled by the quadratic equation
Black Bird
2
Next, determine whose
flew
the highestNAME:_______________________________
and traveled the longest.
y = -xbird
+28x
– 171
ur bird flew?
ur bird traveled?
Finally, figure
out15which bird hit the following pigs.
The table below contains partial data
0
points of10
Black Birds trajectory.
Maximum
Height:_____
ghest and
traveled
the longest.
0Axis of Symmetry_____ Distance Traveled:_____
5 is located at point (15, 24)
King Pig
[email protected]
1. King
Pig
(21,
19.5)
2. Moustache Pig located
8
9 located
10
11 at
12 point
13
14
15 16 Questions?
17
18
x
y 0 7.5 14 19.5 24 27.5 30 31.5 32 31.5
lowing pigs.
0
26
Moustache Pig is located at point (11, 16)
1, 19.5)
2. Moustache Pig located at point (9, 21)?
Q
Maximum Height:_____
Maximum Height:_____
Axis of Symmetry_____
Distance Traveled:_____
[email protected]
Axis of Symmetry_____ Questions?
Distance
Traveled:_____
Questions? sergio.alv
Download
Related flashcards
Create Flashcards