CP -Algebra 1
Unit 2 Student Targets
Name:_________________________________________
Teacher:___________________Pd:_____Date:____
Big idea: Connections between different representation of functions
Target
Example
1.
I can connect a table of values and/or equation
to its graphical representation (linear,
quadratic, exponential, absolute value).
1.
Match the following data/equations to its graphical representation:
a.
1.
X
-3 -2 -1
0
1
Y
-5 -8 -9 -8
-5
b. y  3x  1
c.
d.
Big idea: Analyze different representations of functions
2.
I can describe the characteristics (general
2.
shape, increasing/decreasing,
maximum/minimums, rate of change,
symmetries) of linear, quadratic, exponential,
and absolute value functions.
3.
I can identify the domain and range from a table
and graph and compare the ranges of various
functions.
3.
0
2
1
0
2
2
3.
3
4
4.
y  2x
b. quadratic function , y  x 2
c. exponential function, y  2x
d. absolute value function, y  2x
Identify the domain and range and graph the following functions:
a.
X
-1
0
1
2
3
Y
-12 -15 -16 -15 -12
c.
d.
4.
-1
4
Describe the characteristics of the following parent graphs:
a. linear function, y  x
b.
Big idea: Graph different functions
4. Given an equation, I can create a table of values
for a function and graph (linear, quadratic,
exponential, absolute value)
X
Y
2.
X
Y
-1
4
0
2
1
0
2
2
X
Y
0
1
1
3
2
9
3
27
X
Y
-4
2
-3
1
-2
0
-1
1
3
4
0
2
Create a table of values and graph the functions:
a. y  2x  1
b. y  x 2  2x  8
c. y  3x
d. y  x  2
5.
Given a table of values, I can graph a function
(linear, quadratic, exponential, absolute value)
5.
For each table of values, graph its respective function.
a.
X
-1
0
1
2
3
Y
.67
1
1.5 2.25 3.375
b.
c.
d.
Big idea: Analyze real-world applications of graphs
6.
I can describe the rate of change from a
graphical representation of a real-world
scenario
1
1
2
0
3
-3
X
Y
-6
-1
-4
-2
-2
-3
0
-4
2
-5
X
Y
-2
3
-1
1.5
0
0
1
1.5
2
3
Sketch a graph of the following situations: Elevation vs. Time
From the 2nd floor to the 1st floor of Woodfield Mall taking a. the stairs(with a landing) and
b. an elevator(start the time as you press the button and show your wait time on the 2 nd floor)
Describe the characteristics of the following graphs:
7.
8.
I can describe the characteristics (general
shape, increasing/decreasing,
maximum/minimums, rate of change,
symmetries) of additional functions.
8.
a.
I can identify the coordinates of a specific point
in a coordinate plane.
0
0
Describe the rate of change of the time vs. temperature graph below.
I can sketch a graph representing a real-world
scenario.
10.
-1
-3
6.
7.
Big idea: Graph points on the coordinate plane
9.
I can plot points in a coordinate plane.
X
Y
b.
9. Graph and label the following points on the coordinate plane
A:(-3, 2) B:(4,0) C:(-2,5) D:(1,-4)
10.
Identify the coordinates of the points on the
coordinate plane to the right
Big idea: Calculate the slope and rate of change
11.
12
13
I can calculate the slope of a line given two
points or a graph of the line.
I can calculate the slope of a vertical or
horizontal line.
I can apply the concepts of slope to real-world
problems (i.e. rate of change).
11.
a. Calculate the slope of the line given 2 points (3, -2) and (-3, 6)
3
2
20
12. Calculate the slope of each line give two points a.  2,4  and  5,4  b.  8, 3 and  8,10
b. Find the missing value: line passes through  4, x  and 6,5 and has a slope of 
22
18
13.
Find the rate of change in rainfall with respect to time.
Years since 2005
-4
-2
0
2
Rainfall
1
4
7
10
16
14
4
12
13
10
14
I can interpret and compare rates of change
from the graphs of linear functions.
14.
Describe the rate of change between months
5 and 7.
average
rainfall in
inches
8
6
4
2
-10
-5
5
-2
10
Months of the Year
-4
Big idea: Graph linear functions
-6
15
I can graph a linear function given its equation
by creating a table.
15.
Graph the equation f  x   3x  5
16
I can describe the translations of a linear
function.
16.
Compare to the parent graph y=x, describe the translation for the following functions:
1
a.
b. y  x  1 c. y  x  5
y  3x
4
TARGET SOLUTIONS ON OTHER SIDE
15
20
25
Target Solutions
1. A-1, B-2, C-4, D-3
2a. line, increases to the right, decreases to
2b. parabola, increases right to left, vertex in
the left, no max/min, constant rate
min, symmetric by vertex
2d. “v”, increases right to left, symmetric by
3a-d. X-values are domain, Y-values are range. 4a.
vertex
See Target #1 for graphs
X
-2
-1
Y
-5
-3
4b.
4c.
4d.
X
-1
0
1
2
3
X
0
1
2
3
4
X
0
1
Y
-5
-8
-9
-8
-5
Y
1
3
9
27
81
Y
2
1
6. A-B constant, B-C increase, C-D constant
7. (graph)
8a. Increasing left to right until -1, parabola
from -1 to 2, constant/linear; abs max @ x=2
8b. Min @ x=-3, Max @ x=0, Min @ x=3
12a.
13.
1.5
inches/year
14. 5-6: decreases 3
15.
m

0
4
11. a. m  
in/month
b. m  undefined
3
6-7: creases 1
b. x=8
in/month
2c. curve, increases right to left, asymptote
0
-1
1
1
2
3
5. (graphs)
a. exponential
b. quadratic
c. linear
d. absolute value
2
3
4
0
1
2
9. (plot points)
10. (-5,2), (6,0) and
A. QII B. X-axis
(4,-4)
C. QII D. QIV
16a. negative slope (flipped over x-axis),
steeper slope
16b. moved down 1
16c. moved up 5, less steep slope