Chapter: 1
Highlight
One
Topic: Functions and Their Graphs
Date Section
Taught of Book
Mastered
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1.1
Mastered
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1.1
Learning Target
I can plot points in the Cartesian plane. For example, plot the
coordinate (-4, 5).
I have the Distance Formula memorized and can use it to find the
distance between two points. d 
 x2  x1    y2  y1 
2
2
I have the Midpoint Formula memorized and can use it to find the
 x2  x1 y2  y1 
,

2 
 2
Mastered
Need Practice/Help
1.1
Mastered
Need Practice/Help
1.1
I can use a coordinate plane and geometric formulas to model and solve
real-life problems.
1.2
I can sketch graphs of equations.
1.2
I can find x- and y- intercepts of graphs of equations.
1.2
I can use symmetry to sketch graphs of equations. I also know how to
use the algebraic tests to check for symmetry with respect to both axes
and the origin.
1.2
I can use graphs of equations in solving real-life problems.
1.3
I can use slope to graph linear equations in two variables. y  mx  b
Mastered
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Mastered
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Mastered
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Mastered
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Mastered
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midpoint of a line segment. m  
I have the slope formula memorized and can use it to find slopes of
Mastered
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1.3
Mastered
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1.3
Mastered
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1.3
Mastered
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1.3
Mastered
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1.4
Mastered
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1.4
Mastered
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Mastered
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lines. m 
y2  y1
x2  x1
I have the point slop formula memorized and can use it to write linear
equations in two variables. y  y1  m  x  x1 
I can use slope to identify if two lines are parallel, perpendicular, the
same line, or neither.
I can use slope and linear equations in two variables to model and solve
real-life problems.
I can determine whether relations between two variables are functions
(knowing for every x there can only be one y value).
I can use function notation f  x  . I can evaluate functions. For
example, given f  x    x 2  5 find f  2  or f  x  4 .
1.4
I can find the domains of functions and write it in interval notation
1.4
I can use functions to model and solve real-life problems.
Mastered
Need Practice/Help
1.4
Mastered
Need Practice/Help
1.5
Mastered
Need Practice/Help
1.5
I can evaluate difference quotients.
f  x  h  f  x
h
,h  0
I can use the Vertical Line Test to determine if a graph represents y as a
function of x.
I can find the zeros of functions. I know that zeros, roots, and xintercepts are all the same thing.
Highlight
One
Date Section
Taught of Book
Learning Target
I can determine intervals on which functions are increasing or
decreasing.
I have the average rate of change formula memorized and can use it to
Mastered
Need Practice/Help
1.5
Mastered
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1.5
Mastered
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1.5
I can identify even and odd functions. I know how to use the algebraic
tests to check for if a function is even, odd, or neither.
Mastered
Need Practice/Help
1.6
I can identify and graph piecewise functions.
Mastered
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1.6
Mastered
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1.6
Mastered
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1.7
Mastered
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1.8
Mastered
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1.8
Mastered
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1.8
Mastered
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1.9
Mastered
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1.9
Mastered
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1.9
Mastered
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Mastered
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find the average rate of change of a function. msec 
f  x2   f  x1 
x2  x1
I can recognize/identify all of the parent functions: Constant, Identity,
Absolute Value, Square Root, Quadratic, Cubic, Reciprocal, and Greatest
Integer.
I can graph all of the parent functions: Constant, Identity, Absolute
Value, Square Root, Quadratic, Cubic, Reciprocal, and Greatest Integer.
I can use transformations (left/right, stretch/shrink, reflection,
up/down) in the correct order to graph all of the parent functions:
Constant, Identity, Absolute Value, Square Root, Quadratic, Cubic,
Reciprocal, and Greatest Integer.
I can add, subtract, multiply, and divide functions. For example,
f  x  g  x ,
f  x  g  x ,
f  x g  x ,
or
g  x
f  x
I can find the composition of one function with another function.
f  g  x   I can identify the domain of the composite function.
I can use combinations and compositions of functions to model and
solve real life problems.
I can verify that two functions are inverse functions of each other by




using composition of functions. f g  x   x and g f  x   x
I can use graphs of functions to determine whether functions have
inverse functions.
I can use the Horizontal Line Test to determine if functions are one-toone (to determine if the inverse will be a function)
1.9
I can find an inverse functions algebraically by switching x and y.
1.9
I know that the notation f 1  x  mean inverse.