Six Step
Vocabulary/
Target
Words
Complex
2. B. Algebra: Functions and Equations updated Friday, June 5, 2009
2
3
4
5
6
K
1
N/A
-open number
sentence
N/A
While
engaged in
gradeappropriate
tasks, the
student
demonstrates
an
understanding
of functions
and equations
by:
1. solving open
number
sentences that
have variable
representing
numbers up to
10 (e.g.
10=8+_)
2. describing
qualitative
change
While
engaged in
gradeappropriate
tasks, the
student
demonstrates
an
understanding
of functions
and equations
by:
1. explaining
and modeling
open #
sentences that
have variables
to 20 (e.g.
20=6+_)
2. describing
quantative
change (water
heats to boil,
child growing
2 inches in one
year)
3. modeling
and explaining
concepts of
equality
7
8
-quantities
-variable
-function
-equations
-proportion
-substitution
-rate
-linear equation
-solution
-average speed
-properties
While engaged
in gradeappropriate
tasks, the
student
demonstrates an
understanding
of functions and
equations by:
1. explaining how
the change in one
variable can
relate to a change
in a 2nd variable
(e.g. input/output,
data tables)
2. explaining the
value of variable
in missing part
problems (e.g.
139+__=189)
3. explaining
relationships of
quantities in
mathematical
expressions,
equations and
inequalities using
appropriate
operational and
relational
symbols
While engaged
in gradeappropriate
tasks, the
student
demonstrates
an
understanding
of functions
and equations
by:
1. identifying
and describing
situations with
constant or
varying rates of
change and
compare them
2. interpreting
variables,
mathematical
symbols, and
properties to
simplify
expressions and
sentences
While
engaged in
gradeappropriate
tasks, the
student
demonstrates
an
understanding
of functions
and equations
by:
1. explaining
by example
why a general
rule works as a
function to
solve a
problem
2. explaining
by example
how a variable
can represent a
number
3. explaining
by example
how a variable
can be used to
represent a
value in a
formula
(P=2Lx2W)
While
engaged in
gradeappropriate
tasks, the
student
demonstrates
an
understanding
of functions
and equations
by:
1. setting up
and solving
problems
involving
proportional
reasoning
(relationships)
2. solving 1step equations
3. understanding how a
change in one
variable effects
the other
variables
4. generating
formula for
area/perimeter
While engaged in
gradeappropriate
tasks, the student
demonstrates an
understanding of
functions and
equations by:
1. setting up and
solving problems
involving rate,
average speed,
distance and time
2. translating,
evaluating and
solving verbal
expressions and
sentences into
algebraic
expressions/
equations
3. describing/
modeling a
constant rate of
change between 2
variables (linear
equation y=2+3x)
4. interpreting the
rate of change in
context
5. solving 2 step
equations and
inequalities with
one variable over
the rational
numbers,
interpreting the
solution/
solutions, in the
context from
which they arose
and verifying
While engaged in
grade-appropriate
tasks, the student
demonstrates an
understanding of
functions and
equations by:
1. understanding the
relationships
between ratios,
proportions,
percents and solving
for a missing term
in a proportion
2. formulating and
solving problems
invloving simple
linear relationships,
finding % of given
number, variable
situations and
unknown quantities
3. using symbols,
variables,
expressions,
inequalities,
equations and
simple systems of
equations to
represent problem
situations that
involve changes in
rate, average speed,
distance and time
4. analyzing
problems that
involve change by
identifying
relationships,
distinguishing
relevant from
irrelevant
2. B. Algebra: Functions and Equations updated Friday, June 5, 2009
reasonableness
Simple
(Recall and
Recognize)
Recognizing
and recalling
specific
terminology
such as:
-open number
sentence
Recognizing
and recalling
isolated
details such
as:
-identifying
qualitative
change
Recognizing and
recalling specific
terminology
such as:
-quantities
Recognizing
and recalling
isolated
details such
as:
-solving open
number
sentences with
variables
-identifying
small changes
over time
-understanding
an equation is
equal when
quantities on
both sides have
the same value
Recognizing and
recalling isolated
details such as:
-understanding
how to solve
problems using
numeric
equations
between 2
quantities (e.g.
cost per unit)
-understanding
changes in
variables
-understanding
that missing
variables have a
value
Recognizing
and recalling
specific
terminology
such as:
-variable
Recognizing
and recalling
isolated details
such as:
-recognizing
situations with
constant or
varying rates of
change
-recognizing
variables as an
unknown
quantity,
mathematical
symbols and
properties in
expressions and
sentences
Recognizing
and recalling
specific
terminology
such as:
-function
-equations
Recognizing
and recalling
isolated
details such
as:
-understanding
of a rule to
solve a
problem
-demonstrating
understanding
of how a
variable can
represent a
number
-demonstrating
understanding
of how a
variable can be
used to
represent a
value in a
formula (e.g.
P=2Lx2W)
Recognizing
and recalling
specific
terminology
such as:
-proportion
-substitution
Recognizing
and recalling
isolated
details such
as:
-solving a
proportion
-identifying the
operation
needed to solve
a 1-step
equation
-substituting
different
numbers in for
a variable and
not change
-having basic
understanding
of how to find
area and
perimeter
Recognizing and
recalling specific
terminology such
as:
-rate
-linear equation
-solution
-average speed
Recognizing and
recalling isolated
details such as:
-identifying the
parts of the
problem that
match the formula
-identifying key
terms used in
basic expressions
and equations
-identifying if the
rate of change is
constant and if so
calculate the rate
of change
-identifying the
correct order of
operations needed
to solve a 2 step
equation
information,
identifying missing
information,
sequencing,and
observing patterns
Recognizing and
recalling specific
terminology such
as:
-properties