CP -Algebra 1
Unit 2 Student Targets
Name:_________________________________________
Teacher:___________________Pd:_____Date:____
2.1 Big idea: Analyze different representations of functions
1.
2.
3.
Target
Example
I can connect a table of values and/or equation
to its graphical representation (linear,
exponential or quadratic).
1.
I can describe the characteristics (general
shape, increasing/decreasing,
maximum/minimums, rate of change,
symmetries) of linear, exponential, and
quadratic functions.
I can identify the domain and range from a
graph and compare the ranges of various
functions.
2.
Match the following data/equations to its graphical representation:
a.
1.
2.
X
-3 -2 -1
0
1
Y
-5 -8 -9 -8
-5
b.
y  2x
c.
y  3x  1
3.
3.
Describe the characteristics of the following parent graphs:
a. linear function, y  x
b. quadratic function , y  x 2
c. exponential function, y  2x
3.
Identify the domain and range and graph the following functions:
a.
b.
c.
d.
e.
f.
2.2 Big idea: Graph different functions
4.
5.
Given an equation, I can create a table of values
for a function and graph (linear, exponential,
quadratic)
Given a table of values, I can graph a function
(linear, exponential, quadratic)
4.
5.
Create a table of values and graph the functions:
a. y  2x  1
b. y  x 2  2x  8
c. y  3x
For each table of values, graph its respective function.
X
-1
0
1
2
3
a.
c.
Y
.67
1
1.5 2.25 3.375
b.
X
Y
-1
-3
0
0
1
1
2
0
3
-3
X
Y
-6
-1
-4
-2
-2
-3
0
-4
2
-5
2.3 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
6.
Describe the rate of change of the time vs. temperature graph below.
7.
I can sketch a graph representing a real-world
scenario.
7.
Sketch a graph of the following elevation vs. time situations from the 2nd floor to the 1st floor of Woodfield
Mall taking…
8.
I can describe the characteristics (general
shape, increasing/decreasing,
maximum/minimums, rate of change,
symmetries) of additional functions.
8.
a. the stairs(with a landing)
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:
a.
b.
2.4 Big idea: Graph points on the coordinate plane
9.
I can plot points in a coordinate plane.
10.
I can identify the coordinates of a specific point
in a coordinate plane.
9. Graph and label the following points on the coordinate plane; identify each
quadrant the point lies in
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
2.5 Big idea: Calculate the slope and rate of change
11.
I can calculate the slope of a line given two
points or a graph of the line.
11.
a. Calculate the slope of the line that passes through (3, -2) and (-3, 6)
b. Calculate the slope of the line that passes through (6, -2) and (8, -6)
3
2
b.  8, 3 and  8,10
c. Find the missing value: line passes through  4, x  and 6,5 and has a slope of 
2,4 and  5,4
12.
I can calculate the slope of a vertical or
horizontal line.
12.
Calculate the slope of each line give two points a.
13.
I can apply the concepts of slope to real-world
problems (i.e. rate of change).
13.
Find the rate of change in rainfall with respect to time.
Years since 2005
-4
-2
0
2
Rainfall (inches)
1
4
7
10
4
13
12
10
14.
I can interpret and compare rates of change
from the graphs of linear functions.
14.
a. Calculate the rate of change between
months 5 and 7.
average
rainfall in
inches
8
6
b. Then state the units for domain and range.
4
2
-10
-5
5
-2
10
15
20
Months of the Year
-4
2.6 Big idea: Graph linear functions
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
1. 1-A, 2-C, 3-B
2a. line, increases, no max/min, constant rate
of change
3b. D: , R : y  0
4a.
X
-2
-1
3d. D: , R : y  3
Y
-5
-3
3f. D: , R : y  0
3a. D: , R : y  4
3c. D: , R :
3e. D: , R : y  0
4c.
X
Y
0
1
1
3
2
9
3
27
4
81
8a. Possible answers:
Increasing left to right until (-1,1), parabola
from x  1 and x  2 , abs max @ (2,4)
5. (graphs)
a. exponential
b. quadratic
c. linear
9. (plot points)
A. QII B. x-axis
C. QIII D. QIV
-6
2b. parabola, increases and decreases,
minimum at (0,0), symmetric thru the vertex
4b.
0
1
2
X
-1
0
-1
1
3
Y
-5
-8
14b. Domain: months
Range: average rainfall (inches)
15.
1
-9
2
-8
6. A-B constant, zero
B-C constant, positive
C-D constant, zero
10. (-5,2), (6,0) and
(4,-4)
11. a. m  
b.
8b. Possible answers:
Min @ (3,-3), constant rate of change (positive
and negative), no symmetry
14a. 5-6: decreases 3 inches/month
6-7: increases 1 inch/month
2c. curve, increases right to left
m  2
4
3
3
-5
7. (answers will vary)
12a. m  0
b. m  undefined
13. 1.5 inches/year
c. x=8
16a. negative slope, steeper slope, reflected over the x-axis
16b. down 1
16c. less steep slope, up 5
25