Generalize and extend or
complete patterns involving geometric figures or
numbers.
A
Extend numerical patterns.
A
Extend geometric patterns.
A
Generalize numerical
patterns using a variable.
D
Represent and analyze
patterns and functions using words, tables, and graphs.
D
Determine or apply a
function rule involving data in a function table.
A
Apply basic function rules.
M
Demonstrate understanding
that an equation is a number sentence stating two
quantities are equal.
A
Solve open sentences
involving addition, subtraction, multiplication, and
division.
A
Connect open sentences to
real-world situations.
D
Represent the idea of a
variable as an unknown quantity using a letter or a
symbol.
A
Select an equation that
represents a given mathematical relationship.
M
Apply commutative,
associative, zero, distributive, and identity
properties.
M
Show that division is not
commutative.
D
Investigate how a change in
one variable relates to a change in a second variable.
D
Use methods to compare and
describe situations involving constant and/or varying
rates of change and to solve real-world problems (e.g.,
extending rate charts).
Identify the graphical
representation of the solution to a one-variable linear
inequality.
I
Develop understanding for
particular values of patterns, relationships, and
functions (e.g., x- and y- intercepts, slope, and
maximum and minimum values).
D
Use a variety of
representations to solve real-world problems (e.g.,
graphs, tables, and equations).
I
Compare linear relationships
to non-linear relationships.
A
Connect symbolic expressions
and graphs of lines.
A
Interpret graphs which
represent rates of change.
D
Develop meaning for rate of
change in real-world situations.
Algebra I
2.2.1
Recognize, analyze, extend, and create a variety of
patterns
2.2.2
Use
algebraic thinking to generalize a pattern by expressing
the pattern in functional notation
2.2.3
Solve
linear systems using a variety of techniques
2.2.4
Communicate the meaning of variables in algebraic
expressions, equations, and inequalities
2.2.5
Identify and represent a variety of functions
2.2.6
Apply
and interpret rates of change from graphical and
numerical data
2.2.7
Analyze graphs to describe the behavior of functions
2.2.8
Interpret results of algebraic procedures
2.2.9
Apply
the concept of variable in simplifying algebraic
expressions, solving equations, and solving inequalities
2.2.10
Interpret graphs that depict real-world phenomena
2.2.11
Model
real-world phenomena using functions and graphs
2.2.12
Articulate and apply algebraic properties in symbolic
manipulation
2.2.13
Analyze relationships which can and which cannot be
represented by a function
2.2.14
Graph
inequalities and interpret graphs of inequalities
2.2.15
Describe the domain and range of functions and
articulate restrictions imposed either by the operations
or by the real-life situations which the functions
represent
2.2.16
Describe the transformation of the graph that occurs
when coefficients and/or constants of the corresponding
linear equations are changed
