Algebra 2 Proficiencies
1. Identify, sketch and
interpret linear, absolute
value, quadratic and
piecewise graphs.
Determine the range
and domain of given
functions.
I can…
Where can I find help?
I can sketch a graph of
linear, absolute value,
quadratic and piecewise
graphs.
http://www.khanacademy.org/math/algebra/absolutevalue/v/absolute-value-and-number-lines
I can identify and name the
type of graph based on how
it looks.
I can graph piecewise
graphs.
I can determine the range
and domain of a function
when graphed.
http://www.coolmath.com/algebra/21-advanced-graphing/03piecewise-functions-01.htm
http://www.purplemath.com/modules/graphing.htm
http://mathbits.com/MathBits/TIsection/Precalculus/piecewis
e.htm
http://www.khanacademy.org/math/algebra/algebrafunctions/v/domain-and-range-of-a-function
2. Solve absolute value
equations and
inequalities. Sketch the
solution on a number
line.
I can solve absolute value
equations and sketch the
solution on a number line.
I can solve absolute value
inequalities and sketch the
solution on a number line.
http://www.khanacademy.org/math/algebra/solving-linearequations-and-inequalities/v/absolute-value-equations
http://www.khanacademy.org/math/algebra/solving-linearequations-and-inequalities/v/absolute-value-equations-1
http://www.khanacademy.org/math/algebra/absolutevalue/v/absolute-value-equations-example-1
I can determine the absolute
value inequality based on
http://www.khanacademy.org/math/algebra/absolutethe graph.
value/v/absolute-value-equation-example-2
www.khanacademy.org/math/algebra/absolutevalue/v/absolute-value-inequalities
http://www.khanacademy.org/math/algebra/absolutevalue/v/absolute-value-inequalities-example-1
http://www.khanacademy.org/math/algebra/absolutevalue/v/absolute-inequalities-2
http://www.khanacademy.org/math/algebra/absolutevalue/v/absolute-value-inequalities-example-3
3. Explore matrices to
find the solution to
systems of equations
using inverses as well
as Cramer's rule.
I can find add, subtract and
multiply matrices.
http://www.khanacademy.org/math/algebra/algebramatrices/v/introduction-to-matrices
I can determine the
determinate of a square
matrix.
http://www.khanacademy.org/math/algebra/algebramatrices/v/matrix-multiplication--part-1
I can determine the inverse
of a matrix, if it exists.
I can solve systems of
equations using inverses
with and without a
calculator.
I can solve systems of
equations using Cramer's
rule with and without a
calculator.
http://www.khanacademy.org/math/algebra/algebramatrices/v/matrix-multiplication--part-2
http://www.khanacademy.org/math/algebra/algebramatrices/v/inverse-matrix--part-1
http://www.khanacademy.org/math/algebra/algebramatrices/v/inverting-matrices--part-2
http://www.khanacademy.org/math/algebra/algebramatrices/v/matrices-to-solve-a-system-of-equations
http://www.purplemath.com/modules/determs.htm
http://www.purplemath.com/modules/cramers.htm
4. Add, subtract
multiply and divide
given functions. Use
composition of functions
to determine inverse
functions. Determine
the inverse of a
function.
I can add, subtract, multiply
and divide given functions.
http://www.khanacademy.org/math/algebra/algebrafunctions/v/sum-of-functions
I can use composition of
functions to check if two
functions are inverses.
http://www.khanacademy.org/math/algebra/algebrafunctions/v/difference-of-functions
I can determine the inverse
of a function.
http://www.khanacademy.org/math/algebra/algebrafunctions/v/product-of-functions
http://www.khanacademy.org/math/algebra/algebrafunctions/v/quotient-of-functions
http://www.khanacademy.org/math/algebra/algebrafunctions/v/functions-part-2
http://www.khanacademy.org/math/algebra/algebrafunctions/e/functions_3
http://www.khanacademy.org/math/algebra/algebrafunctions/v/functions--part-4
http://www.khanacademy.org/math/algebra/algebrafunctions/v/a-more-formal-understanding-of-functions
5. Divide polynomials
and explore converting
and simplifying rational
exponents.
I can divide polynomials
using long division and/or
synthetic division.
I can convert rational
exponents into radical form
and back.
I can simplify radical
expressions either in
rational or radical form.
http://www.khanacademy.org/math/algebra/polynomials/v/div
iding-polynomials-1
http://www.khanacademy.org/math/algebra/polynomials/v/alg
ebraic-long-division
http://www.khanacademy.org/math/algebra/polynomials/v/div
iding-polynomials-with-remainders
http://www.khanacademy.org/math/algebra/polynomials/v/sy
nthetic-division
http://www.khanacademy.org/math/algebra/polynomials/v/sy
nthetic-division-example-2
http://www.khanacademy.org/math/algebra/polynomials/v/wh
y-synthetic-division-works
http://www.khanacademy.org/math/algebra/polynomials/v/ter
ms-coefficients-and-exponents-in-a-polynomial
http://www.khanacademy.org/math/algebra/exponentsradicals/v/fractional-exponent-expressions-1
http://www.khanacademy.org/math/algebra/exponentsradicals/v/fractional-exponent-expressions-2
http://www.khanacademy.org/math/algebra/exponentsradicals/v/fractional-exponent-expressions-3
http://www.khanacademy.org/math/algebra/exponentsradicals/v/simplifying-square-roots
6. Understand how
exponential functions
look when graphed,
solve equations
involving exponential
equations and solve
story problems such as
half life, population,
interest, etc.
I can determine the range
and domain of exponential
functions.
I can graph an exponential
function and relate it to the
parent graph.
http://www.khanacademy.org/math/precalculus/v/exponential
-growth
http://www.khanacademy.org/math/precalculus/v/introduction
-to-compound-interest-and-e
I can solve exponential
equations for a variable.
I can solve story problems
which involve exponential
functions including half life,
population, interest, etc...
http://www.khanacademy.org/math/algebra/ck12-algebra1/v/exponential-growth-functions
http://www.khanacademy.org/math/algebra/ck12-algebra1/v/exponential-decay-functions
7. Understand how
logarithms are inverses
of exponents. Use
properties to simplify
and solve logarithmic
equations including
converting log bases
and using the natural
log "e". Finally solving
story problems involving
growth and decay
models.
I can convert between
logarithmic and exponential
forms.
I can solve logarithmic
equations using the
properties of logarithms
(product, quotient and
power).
I can convert (change) log
bases.
I can do the above
statements with the natural
logarithm "e".
http://www.khanacademy.org/math/algebra/logarithms/v/intro
duction-to-logarithms
http://www.khanacademy.org/math/algebra/logarithms/v/loga
rithm-of-a-power
http://www.khanacademy.org/math/algebra/logarithms/v/sum
-of-logarithms-with-same-base
http://www.khanacademy.org/math/algebra/logarithms/v/intro
duction-to-logarithm-properties
http://www.khanacademy.org/math/algebra/logarithms/v/intro
duction-to-logarithm-properties--part-2
http://www.khanacademy.org/math/algebra/logarithms/v/usin
g-multiple-logarithm-properties-to-simplify
I can use logarithms to solve
growth and decay story
http://www.khanacademy.org/math/algebra/logarithms/v/cha
problems.
nge-of-base-formula
http://www.khanacademy.org/math/algebra/logarithms/v/loga
rithmic-equations
http://www.khanacademy.org/math/algebra/logarithms/v/solvi
ng-logarithmic-equations
http://www.khanacademy.org/math/algebra/logarithms/v/natu
ral-logarithm-with-a-calculator
http://www.khanacademy.org/math/algebra/logarithms/v/calc
ulator-for-natural-logarithms
8. Relate arithmetic
sequences to linear
functions. Use
arithmetic sequences
and series to solve reallife problems.
I can identify arithmetic
sequences and series.
http://www.khanacademy.org/math/algebra/solving-linearequations-and-inequalities/v/patterns-in-sequences-1
I can determine the common http://www.khanacademy.org/math/algebra/solving-lineardifference "d".
equations-and-inequalities/v/patterns-in-sequences-2
I can find the "nth" term of a
sequence and series (next
three or middle values).
I can determine the sum of
an arithmetic series.
I can write and evaluate
series written in sigma
notation.
I can solve story problems
which involve sequences
and series.
http://www.khanacademy.org/math/precalculus/v/sequencesand-series--part-1
http://www.khanacademy.org/math/precalculus/v/sequencesand-series--part-2
9. Relate geometric
sequences to
exponential functions.
Use geometric
sequences and series
to solve real-life
problems.
I can identify geometric
sequences and series.
http://www.khanacademy.org/math/algebra/ck12-algebraI can determine the common 1/v/geometric-sequences--introduction
ratio "r".
I can find the "nth" term of a
sequence and series (next
three or middle values).
I can determine the sum of
an geometric series.
I can write and evaluate
series written in sigma
notation.
I can solve story problems
which involve sequences
and series.
10. Understand the
workings of rational
expressions including
addition, subtraction,
multiplication and
division. As well as
graphing and describing
wholes, asymptotes and
points of discontinuity.
I can add, subtract, multiply
and divide rational
expressions.
I can graph rational
expressions and determine
where discontinuities occur
such as wholes and
asymptotes.
http://www.khanacademy.org/math/algebra/exponentsradicals/v/adding-and-subtracting-rational-expressions
http://www.khanacademy.org/math/algebra/exponentsradicals/v/multiply-and-simplify-a-radical-expression-1
http://www.khanacademy.org/math/algebra/exponentsradicals/v/multiply-and-simplify-a-radical-expression-2
http://www.khanacademy.org/math/algebra/ratiosproportions/v/solving-rational-equations-1
http://www.khanacademy.org/math/algebra/ratiosproportions/v/solving-rational-equations-2