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Final Exam Learning Targets
(Red items will not be assessed on the final)
Unit 5 – Exponential Relationships
Date(s)
Learning Target
1. I can recognize situations in
which one quantity changes at a
constant rate per unit interval
relative to another. F.LE.1.b
2. I can recognize situations in
which a quantity grows or decays by
a constant percent rate per unit
interval relative to another. F.LE.1.c
3. I can interpret the parameters in
a linear or exponential function in
terms of a context. F.LE.5, A.SSE.1
4. I can write a linear or exponential
function given a verbal description of
the function in context. A.CED.2
5. Given a problem in context, I can
write an exponential equation and
use it to solve the problem. A.CED.1
6. I can describe the key features
(intercepts, intervals of
increase/decrease, end behavior) of
the graph of an exponential function.
F.IF.4
7. I can compare the properties of an
exponential function to another
function (linear or exponential)
given graphical, verbal, analytic, or
tabular representations of the
functions. F.IF.9; F.LE.3
8. I can graph exponential functions
by hand (using appropriate labeling
and scaling) and using technology.
F.IF.7.e
9. I can describe the effects that a, b,
and k have on the graph of
f (x) = abx + k . F.BF.3
Summary
Assignment
10. I can write an exponential
function given a graph, verbal
description of a relationship, or two
input-output pairs. F.LE.2
11. I can prove that exponential
functions grow by equal factors over
equal intervals and explain the
reasoning process. F.LE.1.a
12. I can re-write the explicit
formula for a geometric sequence,
an = a1r n-1 , in the form f (n)= abn
and explain the reasoning process.
13. I can explain the reasoning
process for solving exponential
equations by hand in simple cases
and using technology (graphing and
spreadsheet software) in more
complicated cases. A.REI.3; A.REI.11
Homework Skill-Building Learning Targets
HW1. I can apply the laws of
exponents in order to simplify
operations involving exponential
expressions.
HW2. I can simplify the square root
of a number using the properties of
roots.
HW3. I can simplify the sum,
difference, product, or quotient of
square roots.
HW4. I can rationalize an
expression involving a square root.
Unit 6 – Quadratic Functions
Date(s)
Learning Target
1. I can describe the characteristics
of the graph of a quadratic function.
symmetry, maximum, minimum,
intercepts, increasing/decreasing
2. I can utilize appropriate
mathematical vocabulary (term,
coefficient, degree, etc.) to describe
the equation of a quadratic function.
3. I can compare the characteristics
of the graphs of quadratic, linear and
exponential functions.
average rate of change, extrema,
increasing/decreasing, intercepts
4. I can graph a quadratic function of
the form y  ax using a table of
values and by analyzing its structure.
2
5. I can describe the graphs of
quadratic functions of the form
y  ax 2 in general terms.
vertex, concave up/down
6. I can solve quadratic equations of
the form ax  k graphically and
structurally (by observation).
2
7. I can describe the effects of a, h
and k on the graph of the function
y  ax  h   k .
2
translation left/right, translation
up/down, reflection
8. I can graph quadratic functions in
Vertex Form y  a  x  h   k .
2
9. I can re-write a quadratic
function in vertex form by
completing the square of one side of
the equation.
Summary
Assignment
10. I can graph quadratic functions
in Standard Form y  ax  bx  c
by completing the square to re-write
it in Vertex Form.
2
11. I can graph a quadratic function
in Standard Form by identifying the
axis of symmetry and vertex.
12. I can graph quadratic functions
in factored form
y  ax  p x  q  by using xintercepts and the nature of the
graphs of quadratic functions.
13. I can write a quadratic equation
given the x-intercepts and an
additional point.
14. I can write a quadratic equation
given the vertex and an additional
point.
Unit 7 – Quadratic Equations
Date(s)
Learning Target
Summary
1. I can solve a quadratic equation
by finding the zeros/roots of a
related quadratic function.
2. I can solve a quadratic equation
of the form ax  c by taking a
square root.
2
3. I can factor a quadratic
expression (binomial or trinomial)
using the GCF, special patterns, or
general factoring practices.
4. I can solve a quadratic equation of
2
the form ax  bx  c  0 by
factoring and using the Zero Product
Property.
5. I can solve a quadratic equation
of the form ax  bx  c  0 by
transforming it into an equivalent
2
equation of the form  x  m   n
that has the same solutions by
completing the square.
2
6. I can derive the quadratic
formula using completing the square
to solve an equation in the general
form ax  bx  c  0 .
2
7. I can describe the number and
nature of solutions of a quadratic
equation using the discriminant.
8. I can solve a quadratic equation
of the form ax  bx  c  0 by
using the quadratic formula.
2
Assignment
9. I can solve word problems
involving quadratic equations using
algebraic methods.
10. I can solve word problems
involving quadratic equations by
graphing and utilizing technology.
11. I can solve an optimization
problem by writing and solving a
quadratic equation.
12. I can solve a system of equations
involving a linear and quadratic
equation algebraically and
graphically.
Unit 8 – Complex Numbers
Date(s)
Learning Target
1. I can simplify the square root of a
negative value using the imaginary
number
i  1 .
2. I can find the complex solutions
to a quadratic equation with real
coefficients by completing the
square.
3. I can find the complex solutions to
a quadratic equation with real
coefficients by using the quadratic
formula.
4. I can distinguish between the
solutions to a quadratic equation and
the roots (x-intercepts) of its related
functions.
5. I can apply the Fundamental
Theorem of Algebra to describe the
number of complex roots for various
equations.
6. I can describe the set of complex
numbers and its relation to the real
and imaginary numbers.
7. I can represent complex
numbers as points in the complex
plane.
8. I can determine the modulus and
conjugate of a complex number.
Summary
Assignment
9. I can add and subtract complex
numbers.
10. I can represent the addition,
subtraction, and conjugation of
complex numbers geometrically on
the complex plane.
11. I can multiply complex numbers
and simplify the product.
12. I can represent the
multiplication of complex numbers
geometrically on the complex plane.
13. I can use the concept of a
conjugate to divide complex
numbers.
Unit 9 – Polynomial Functions
Date(s)
Learning Target
Summary
Assignment
1. I can write an equation for a
polynomial function given the roots
or a graph of the function.
2. I can describe the characteristics
of the graph of a polynomial function
(continuous, smooth, etc.)
3. I can describe the end behavior of
a polynomial function using the
Leading Coefficient Test.
4. I can determine the number of
relative extrema and roots of a
polynomial function.
5. I can describe the multiplicity of
the roots of a polynomial function
given a graph or equation.
6. I can sketch polynomial functions
using the end behavior, roots, and
additional points.
1st Semester Topics:
Linear Functions: Writing equations of linear function and graphing linear functions and piecewise
linear functions.
Solving Systems of Equations: Using substitution, elimination, graphing, and matrices to solve
systems of linear equations.
Average Rate of Change: Compute the average rate of change of a function based on its graph,
equation or a table of values that represent the function.