ALGEBRA 1 MATHEMATICS STANDARDS
List of
Core Content #1:
Performance Solving Problems
Expectations
Select and justify
functions and equations to model and
solve problems.
A
B
C
D
E
2 MC, SA
Y
Solve problems that
can be represented by
linear functions, equations, and inequalities.
2 CP, SA
Y
Solve problems that
can be represented by
a system of two linear
equations or
inequalities.
2 CP, SA
Y
Solve problems that
can be represented by
quadratic functions
and equations. (see
also A2.1.C)
2 CP
Y
Solve problems that
can be represented by
exponential functions
and equations.
2 MC,CP
F
G
H
Core Content #2:
Numbers, Expressions, & Operations
Know the relationship
between real numbers
and the number line, and
compare and order real
numbers with and
without the number line.
Y
Core Content #3:
Characteristics & Behaviors of Functions
Determine whether a
relationship is a function and identify the
domain, range, roots,
and independent and
dependent variables.
Core Content #4:
Linear Functions, Equations, & Inequalities
Write and solve linear
equations and inequalities in
one variable.
Core Content #5:
Quadratic Functions and
Equations
Represent a quadratic function with a symbolic expression, a graph, in a table,
and with a description,
make connections among
representations.
Core Content #6:
Data and Distributions
Core Content #7:
Additional Key Content
Core Processes:
Reasoning, Problem
Solving, Communication
Use and evaluate the accu- Sketch exponential function’s graph Analyze a problem situation
racy of summary statistics to in the form y = abn where n is an
and represent it
describe and compare data integer, describe effects that changes mathematically.
sets.
in the parameters a and b have on
the graph, & answer questions that
arise in situations modeled by exponential functions.
1 MC
I 1,2 MC, SA
I 1, 2 MC, CP
I 2 MC
I
2 MC, SA
Y 1,2 MC, SA
I
3 MC, SA
Y
Recognize the multiple Represent a function Write and graph an equation Sketch the graph of a
Make valid inferences and
Find and approximate solutions to
Select and apply strategies to
uses of variables, deter- with a symbolic exfor a line given the slope and quadratic function, describe draw conclusions based on exponential equations.
solve problems.
mine all possible values pression, as a graph, the y-intercept, the slope and the effects that changes in data.
of variables that satisfy in a table, and using
a point on the line, or two
the parameters have on the
prescribed conditions,
words, and make
points on the line, and
graph, interpret x-intercepts
and evaluate algebraic connections among
translate between forms of
as solutions to quadratic
expressions that involve these representations. linear equations.
equation.
variables.
1(2) MC,CP
2 MC, SA
I 1 MC
1,2 MC
I
2, 3 MC, SA
Y 2 MC
3 MC, SA
Y
Interpret and use integer Evaluate f(x) at a (i.e., Identify and interpret the slope Solve quadratic equations Describe how linear transExpress arithmetic and geometric
Evaluate a solution for
exponents, square/cube f(a)) and solve for x in and intercepts of a linear
that can be factored as (ax formations affect the center sequences in both explicit and
reasonableness, verify its
roots, apply the laws and the equation f(x) = b. function, including equations + b)(cx + d) where a, b, c, and spread of univariate
recursive forms, translate between
accuracy, and interpret the
properties of exponents
for parallel and perpendicular and d are integers.
data.
the two forms, explain how rate of
solution in the context of the
to simplify and evaluate
lines.
change is represented in each form, original problem.
exponential expressions.
and use the forms to find specific
terms in the sequence.
1 MC, CP
1 MC, CP
1 MC
I
1,2 MC, CP
2 MC
Y 1,2 MC, CP
3 MC, SA
Y
Determine whether
Write and solve systems of
Solve quadratic equations Find the equation of a linear Solve an equation involving several Generalize a solution
approximations or exact
two linear equations and
that have real roots by com- function that best fits
variables by expressing one variable strategy for a single problem
values of real numbers
inequalities in two variables. pleting the square and by
bivariate data that are
in terms of the others.
to a class of related
are appropriate, dependusing the quadratic formula. linearly related, interpret the
problems, and apply a
ing on the context, and
slope and y-intercept of the
strategy for a class of related
justify the selection.
line, and use the equation to
problems to solve specific
make predictions.
problems.
(2,3)
1, 2 MC, CP
1,2 MC, CP
2 MC, SA
Y 1,2 MC
(3,4 )
NA
Use algebraic properties
Describe how changes in the
Describe the correlation of
Read and interpret diagrams,
to factor and combine
parameters of linear functions
data in scatterplots in terms
graphs, and text containing
like terms in
& functions containing an abof strong or weak and
the symbols, language, and
polynomials.
solute value of a linear expositive or negative.
conventions of mathematics.
pression affect their graphs &
the relationships they
represent.
1 MC
1, 2 MC, SA
2 MC
I
2,3 SA, CP
Y
Add, subtract, multiply,
Summarize mathematical ideas with for a given audience and
and divide polynomials.
precision and efficiency
purpose.
(1 )
(2,3) NA
Synthesize information to draw
conclusions of others.
conclusions, and evaluate the
arguments and
3 MC, SA
Y
Use inductive reasoning
to prove or disprove
ties of numbers to make conjectures,
about algebra and proper
conjectures. (4) NA
use deductive reasoning
MC multiple choice, CP completion, SA short answer,
Levels (Webb) 1 Recall, 2 Skill/Concept 3 Strategic Thinking 4 Extended Thinking
Green- Assessed, Count for graduation Yellow – Assessed for information White- In class responsibility
Y- Context I - Context item dependent