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Algebra I Proficiencies
1. Compare and
simplify expressions that
can include exponents,
absolute value and
square root. (aka
combine like terms)
I can…
Where can I find help?
I can simplify (combine
like terms) an
expression.
http://www.khanacademy.org/math/algebra/introduction-toalgebra/v/the-beauty-of-algebra
http://www.khanacademy.org/math/algebra/introduction-toI can substitute a number algebra/v/abstract-ness
into an expression then
use the order of
http://www.khanacademy.org/math/algebra/exponentsoperations to solve that
radicals/v/simplifying-square-roots
expression.
http://www.khanacademy.org/math/algebra/exponentsradicals/v/simplifying-expressions-with-exponents
2. Write, use, and solve
linear equations and
inequalities using
graphical and symbolic
methods with one
variable. Represent
solutions on a number
line.
http://www.khanacademy.org/math/algebra/solving-linearI can solve a single and
multiple step equation for equations/v/why-we-do-the-same--thing-to-both-sides--simpleequations
a variable.
I can solve an inequality
then graph it on a
number line.
http://www.khanacademy.org/math/algebra/solving-linearequations/v/solving-one-step-equations
http://www.khanacademy.org/math/algebra/solving-linearequations/v/solving-equations-1
http://www.khanacademy.org/math/algebra/solving-linearequations/v/two-step-equations
http://www.khanacademy.org/math/algebra/solving-linearequations/v/multi-step-equations
http://www.khanacademy.org/math/algebra/solving-linearequations/v/solving-equations-with-the-distributive-property
http://www.khanacademy.org/math/algebra/solving-linearinequalities/v/equations-and-inequalities
http://www.khanacademy.org/math/algebra/solving-linearinequalities/v/solving-inequalities
http://www.khanacademy.org/math/algebra/solving-linearinequalities/v/multi-step-inequalities
3. Identify, construct,
extend, and analyze
linear patterns and
functional relationships
that are expressed
contextually,
numerically,
algebraically,
graphically, in tables, or
using geometric figures.
I can find a linear pattern
then write an equation in
slope intercept form for
that pattern.
http://www.khanacademy.org/math/algebra/solving-linearequations/v/equations-of-sequence-patterns
http://www.khanacademy.org/math/algebra/algebrafunctions/v/recognizing-linear-functions
I can determine if a linear
http://www.khanacademy.org/math/algebra/algebrapattern is a function
functions/v/introduction-to-functions
when given a table, set
of points, mapping or a
http://www.khanacademy.org/math/algebra/algebragraph.
functions/v/graphing-a--basic-function
http://www.khanacademy.org/math/algebra/algebrafunctions/v/functional-relationships-1
http://www.khanacademy.org/math/algebra/algebrafunctions/v/testing-if-a-relationship-is-a-function
http://www.khanacademy.org/math/algebra/algebrafunctions/v/basic-linear-function
4. Determine the
equation of a line given
any of the following
information: two points
on a line, its slope and
one point on the line, or
its graph. Also
determine an equation
of a new line, parallel, or
perpendicular to a given
line, through a given
point.
I can determine the
equation of a line given
two points.
I can determine the
equation of a line given
the slope and one point.
http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/v/slope-of-a-line
http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/v/slope-and-y-intercept-intuition
http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/v/graphing-a-line-in-slope-intercept-form
http://www.khanacademy.org/math/algebra/linear-equations-and-
I can determine the
inequalitie/v/equation-of-a-line-1
equation of a line given a
www.khanacademy.org/math/algebra/linear-equations-andgraph.
inequalitie/v/equation-of-a-line-2
I can determine the
http://www.khanacademy.org/math/algebra/linear-equations-andequation of a line parallel inequalitie/v/equation-of-a-line-3
to another line.
I can determine the
equation of a line
perpendicular to another
line.
http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/v/parallel-lines
http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/v/parallel-lines-2
http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/v/perpendicular-lines
http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/v/perpendicular-lines-2
5. Fluently convert
among representations
of linear relationships
given in the form of a
graph of a line, a table of
values, or an equation of
a line in slope-intercept
and standard form.
I can convert between
the following
representations of a
relation: ordered pairs, a
table, a mapping and a
graph.
I can graph a linear line
that is in slope intercept
form.
I can determine the
equation of a line when
viewing the graph.
http://www.khanacademy.org/math/algebra/algebrafunctions/v/recognizing-linear-functions
http://www.khanacademy.org/math/algebra/algebrafunctions/v/graphical-relations-and-functions
http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/v/graphing-a-line-in-slope-intercept-form
http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/v/slope-and-y-intercept-intuition
6. Use or construct a
scatter plot for a given
data set, determine
whether there is a
positive or negative
correlation; and if
appropriate, sketch a
line of best fit and use it
to make predictions.
I can take data and
create a scatter plot
graph of the data.
I can determine if the
data has a positive,
negative or no
correlation.
I can sketch a line of
best fit and find the
equation for the line.
I can use my equation to
extrapolate (make
predictions of the future).
http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/v/fitting-a-line-to-data
http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/v/application-problem-with-graph
7. Solve systems of two
linear equations
graphically and
algebraically, and solve
systems of two linear
inequalities graphically.
I can find the solution of
two linear equations by
graphing.
I can find the solution of
two linear equations by
substitution.
I can find the solution of
two linear equations by
elimination.
http://www.khanacademy.org/math/algebra/systems-of-eq-andineq/v/solving-systems-by-graphing
http://www.khanacademy.org/math/algebra/systems-of-eq-andineq/v/solving-systems-by-graphing-2
http://www.khanacademy.org/math/algebra/systems-of-eq-andineq/v/solving-systems-by-graphing-3
http://www.khanacademy.org/math/algebra/systems-of-eq-andineq/v/solving-systems-by-substitution-1
http://www.khanacademy.org/math/algebra/systems-of-eq-andineq/v/solving-systems-by-substitution-2
http://www.khanacademy.org/math/algebra/systems-of-eq-andineq/v/solving-systems-by-substitution-3
http://www.khanacademy.org/math/algebra/systems-of-eq-andineq/v/solving-systems-by-elimination
http://www.khanacademy.org/math/algebra/systems-of-eq-andineq/v/solving-systems-by-elimination-2
http://www.khanacademy.org/math/algebra/systems-of-eq-andineq/v/solving-systems-by-elimination-3
http://www.khanacademy.org/math/algebra/systems-of-eq-andineq/v/graphing-systems-of-inequalities
http://www.khanacademy.org/math/algebra/systems-of-eq-andineq/v/graphing-systems-of-inequalities-2
8. Identify, simplify,add,
subtract, multiply and
divide monomials and
polynomials.
I can simplify an
expression by addition
and subtraction of
monomials.
I can simplify an
expression by
multiplication and
division of monomials.
I can distribute and
combine like terms to
simplify a polynomial.
http://www.khanacademy.org/math/algebra/polynomials/v/simplya-polynomial
http://www.khanacademy.org/math/algebra/polynomials/v/adding
-polynomials
http://www.khanacademy.org/math/algebra/polynomials/v/subtra
cting-polynomials
http://www.khanacademy.org/math/algebra/polynomials/v/multipl
ying-monomials
http://www.khanacademy.org/math/algebra/polynomials/v/dividin
g-monomials
http://www.khanacademy.org/math/algebra/polynomials/v/multipl
ying-and-dividing-monomials-3
http://www.khanacademy.org/math/algebra/polynomials/v/multipl
ying-binomials
http://www.khanacademy.org/math/algebra/polynomials/v/square
-a-binomial
http://www.khanacademy.org/math/algebra/polynomials/v/special
-products-of-binomials
9. Factor quadratic
expressions limited to
factoring common
monomial terms,
perfect-square trinomials
and differences of
squares.
I can factor a quadratic
expression in the form
x2+bx+c.
I can factor a quadratic
expression in the form
ax2+bx+c.
http://www.khanacademy.org/math/algebra/polynomials/v/factorpolynomials-using-the-gcf
http://www.khanacademy.org/math/algebra/polynomials/v/factori
ng-and-the-distributive-property
http://www.khanacademy.org/math/algebra/polynomials/v/factori
ng-and-the-distributive-property-2
http://www.khanacademy.org/math/algebra/polynomials/v/factori
ng-quadratic-expressions
http://www.khanacademy.org/math/algebra/polynomials/v/factori
ng-trinomials-by-grouping-2
http://www.khanacademy.org/math/algebra/polynomials/v/u09-l1t2-we3-factoring-trinomials-by-grouping-3
http://www.khanacademy.org/math/algebra/polynomials/v/factori
ng-trinomials-by-grouping-4
http://www.khanacademy.org/math/algebra/polynomials/v/factori
ng-trinomials-by-grouping-5
http://www.khanacademy.org/math/algebra/polynomials/v/factori
ng-trinomials-by-grouping-6
http://www.khanacademy.org/math/algebra/polynomials/v/factori
ng-special-products
10. Solve for x given f(x)
or solve for f(x) given x.
Analyze how changing
the parameters
transforms the graph of
y = mx + b.
I can solve a function in
function notation when
given an x value.
I can determine how
changing values of a
linear line transforms it
on a graph.
http://www.khanacademy.org/math/algebra/algebrafunctions/v/evaluating-functions
http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/v/graphing-a-line-in-slope-intercept-form
http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/v/slope-and-y-intercept-intuition
11. Determine
outcomes of theoretical
probability problems
including compound
events, combinations
and permutations.
Know the definition and
difference of
experimental and
theoretical probability.
I can determine the
outcomes using the
fundamental counting
principal.
I can determine the
probability of a
combination.
I can determine the
probability of a
permutation.
I can define the
difference between
theoretical and
experimental probability.
http://www.khanacademy.org/math/probability/v/basic-probability
http://www.khanacademy.org/math/probability/v/simple-probability
http://www.khanacademy.org/math/probability/v/addition-rule-for-probability
http://www.khanacademy.org/math/probability/v/compound-probability-ofindependent-events
http://www.khanacademy.org/math/probability/v/dependent-probabilityexample-1
http://www.khanacademy.org/math/probability/v/probability--part-1
http://www.khanacademy.org/math/probability/v/permutations
http://www.khanacademy.org/math/probability/v/combinations
http://www.khanacademy.org/math/probability/v/permutationsand-combinations-1
http://www.khanacademy.org/math/probability/v/permutationsand-combinations-2
http://www.khanacademy.org/math/probability/v/permutationsand-combinations-3
http://www.khanacademy.org/math/probability/v/permutationsand-combinations-4
http://www.khanacademy.org/math/probability/v/megamillions-jackpot-probability
12. Given a table or
graph that represents a
quadratic function,
extend the pattern to
make predictions. Given
a quadratic equation
with integral roots,
determine and interpret
the roots, the vertex of
the parabola, and an
equation of its axis of
symmetry.
I can determine if a table
or graph represents a
quadratic function.
I can determine the roots
of a quadratic function
using factoring and the
quadratic formula.
I can graph a quadratic
function on a calculator
and use it to answer
questions about its
vertex and roots.
http://www.khanacademy.org/math/algebra/algebrafunctions/v/quadratic-functions-1
http://www.khanacademy.org/math/algebra/algebrafunctions/v/quadratic-functions-2
http://www.khanacademy.org/math/algebra/algebrafunctions/v/quadratic-functions-3
http://www.khanacademy.org/math/algebra/quadtratics/v/solvingquadratic-equations-by-factoring-avi
http://www.khanacademy.org/math/algebra/quadtratics/v/quadrat
ic-formula-1
http://www.khanacademy.org/math/algebra/algebrafunctions/v/graphing-a-quadratic-function