Download Algebra 1: Competency 2

Algebra I
Commandments
Algebraic Thinking
Competency 2
Solve, check, and graph
multi-step linear
equations and
inequalities in one
variable, including
rational coefficients in
mathematical and realworld situations
Objective 2a – DoK 2
Testing Hints:
1) Circle important information
2) Eliminate answer choices
Strategies:
1) Work out on your own and
compare steps
2) Use substitution property
with answer choices to see
what works
Objective 2a – DoK 2
Solve and graph
absolute value
equations and
inequalities in one
variable
Objective 2b – DoK 2
Testing Hints:
1) Circle important information
2) Eliminate answer choices
Strategies:
1) Work out on your own and
compare steps
2) Use substitution property
with answer choices to see
what works
Objective 2b – DoK 2
Analyze the
relationship between
x and y values,
determine whether a
relation is a function,
and identify domain
and range
Objective 2c – DoK 2
Testing Hints:
1) Circle important information
2) Eliminate answer choices
Vocabulary:
1) Domain – x-values
2) Range – y-values
3) Function – No x-values
repeat; passes the vertical
line test
Objective 2c – DoK 2
Explain and illustrate
how a change in one
variable may result in a
change in another
variable and apply to
the relationships
between independent
and dependent variables
Objective 2d – DoK 2
Testing Hints:
1) Circle important information
2) Eliminate answer choices
Strategies:
1) Solve for y (y=)
2) Use the y = button to input
the equation; get the table
values to identify the change
Objective 2d – DoK 2
Graph and analyze
linear functions
Objective 2e – DoK 2
Testing Hints:
1) Circle important information
2) Eliminate answer choices
Strategies:
1) Solve for y (y=); AKA: slopeintercept form
2) Use the y = button to input
the equation; get the table
values to identify the
coordinates or graph to see a
solution
Objective 2e – DoK 2
Use algebraic and
graphical methods to
solve systems of
linear equations and
inequalities in
mathematical and
real-world situations
Objective 2f – DoK 2
Testing Hints:
1) Circle important information
2) Eliminate answer choices
Strategies:
1) Solve for y (y=); AKA: slopeintercept form
2) Use the y = button to input
the equations; graph to see a
solution
Objective 2f – DoK 2
Add, subtract,
multiply, and divide
polynomial
expressions
Objective 2g – DoK 1
Testing Hints:
1) Circle important information
2) Eliminate answer choices
Strategies:
1) Complete distributive property
2) Combine “like terms”
Remember:
1) When multiplying, exponents
get larger
2) When dividing, exponents get
smaller
Objective 2g – DoK 1
Factor polynomials
by using Greatest
Common Factor
(GCF) and factor
quadratics that have
only rational roots
Objective 2h – DoK 1
Testing Hints:
1) Circle important information
2) Eliminate answer choices
Strategies:
1) Use the Boolean Method of
solving using the calculator by
storing a value in for the variable
and solving
2) Complete the foil method on the
answer choices
Objective 2h – DoK 1
Determine the
solutions to quadratic
equations by using
graphing, tables,
completing the
square, the Quadratic
formula, and
factoring
Objective 2i – DoK 1
Testing Hints:
1) Circle important information
2) Eliminate answer choices
Strategies:
1) Use the substitution property
using the answer choices given
to identify which answers work
Objective 2i – DoK 1
Justify why some
polynomials are
prime over the
rational number
system
Objective 2j – DoK 2
Testing Hints:
1) Circle important information
2) Eliminate answer choices
Strategies:
1) Prime is NOT pretty!!! It can NOT
be factored!
Objective 2j – DoK 2
Graph and analyze
absolute value and
quadratic functions
Objective 2k – DoK 2
Testing Hints:
1) Circle important information
2) Eliminate answer choices
Strategies:
1) Use the substitution property to
identify which answer choice
makes the equation true
2) Type the equation into the y=
button and find the table of
values or graph it
Objective 2k – DoK 2
Write, graph, and
analyze inequalities
in two variables
Objective 2l – DoK 2
Testing Hints:
1) Circle important information
2) Eliminate answer choices
Strategies:
1) Solve for y (y=); AKA: slopeintercept form
2) Use the y = button to input
the equations; graph to see a
solution
3) Use substitution property
Objective 2f – DoK 2
We are done
with
Competency
Two!