School District of South Orange and Maplewood Mathematics Department
Appendix B: ALGEBRA 1 CURRICULUM: PACING GUIDE
9-4 Unit Sequencing and Pacing
9-3 Unit Sequencing and Pacing
9-2 Unit Sequencing and Pacing
Objective 1: Approach solving equations as a
process of reasoning and explain the reasoning.
Solve single-variable linear equations with rational
coefficients. Construct viable arguments to justify
solution methods. Recognize, express and solve
problems that can be modeled using single-variable
linear equation
Objective 1: Approach solving equations as
a process of reasoning and explain the
reasoning. Solve single-variable linear
equations with rational coefficients. Construct
viable arguments to justify solution methods.
Recognize, express and solve problems that
can be modeled using single-variable linear
equation
Objective 1: Approach solving equations as a
process of reasoning and explaining the
reasoning. Solve single-variable linear
equations with rational coefficients. Construct
viable arguments to justify solution methods.
Recognize, express and solve problems that
can be modeled using single-variable linear
equation
Objective 2: Recognize and solve real world
problems involving proportional reasoning and
rational numbers, including percent problems.
Expression, Equations, and Functions (2-3 weeks)
-Evaluating Expressions
-Apply Order of Operations
-Write Expressions
-Write Equations and Inequalities
-Represent Functions as Rules and Tables
-Represent Functions as Graphs
Objective 2: Recognize and solve real world
problems involving proportional reasoning and
rational numbers, including percent problems.
Marking Period 1
Objective 3: Reason quantitatively and use units to
solve problems. Solve equations involving several
variables for one variable in terms of the others.
Objective 4:
(A) Model and explain the concept of a function
using situations, graphs, tables, and functional
notation.
(B) Interpret functions that arise in applications in
terms of the context.
(C) Analyze functions using different
representations.
Graph linear equations using intercepts and in slope
intercept form. Graph linear functions given an
equation or table and interpret the graph in the
context. Recognize slope as rate of change and
use the slope and intercepts to answer questions
about a problem with or without context.
Objective 5: Writing and using linear equations in
slope-intercept form Recognize, describe and
represent linear relationships using words, tables,
numerical patterns, graphs, and equations.
Translate among these representations. Describe,
analyze and use key characteristics of linear
functions and their graphs Interpret and compare
linear models for data that exhibit a linear trend
including contextual problems
Objective 3: Reason quantitatively and use
units to solve problems. Solve equations
involving several variables for one variable in
terms of the others.
Objective 4:
(A) Model and explain the concept of a
function using situations, graphs, tables, and
functional notation.
(B) Interpret functions that arise in applications
in terms of the context.
(C) Analyze functions using different
representations.
Graph linear equations using intercepts and in
slope intercept form. Graph linear functions
given an equation or table and interpret the
graph in the context. Recognize slope as rate
of change and use the slope and intercepts to
answer questions about a problem with or
without context.
Begin Objective 5: Writing and using linear
equations in slope-intercept form
Objective 2: Recognize and solve real world
problems involving proportional reasoning and
rational numbers, including percent problems.
Properties of Real Numbers (2 weeks)
-Add, Subtract, and Multiply Real Numbers
-Apply the distributive property
-Find Square Roots and Compare Real Numbers
- Student will concentrate on being able to order numbers
on a number line.
Objective 3: Reason quantitatively and use
units to solve problems.
Solve equations involving several variables for
one variable in terms of the others.
Solving Linear Equations (4 weeks)
-Solve One-Step Equations
-Solving Two-Step Equations
-Solving Multi-step Equations
-Solving Equations with variables on both sides
-Write Ratios and Proportions
Objective 6: Solve inequalities and graph solutions
on a number line. Model real world situations with
inequalities and explain solutions in the context of
the problem.
July 2012
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School District of South Orange and Maplewood Mathematics Department
Appendix B: ALGEBRA 1 CURRICULUM: PACING GUIDE
9-4 Unit Sequencing and Pacing
9-3 Unit Sequencing and Pacing
Objective 7: Solve equations involving the
absolute value of a linear expression.
Continue Objective 5: Recognize, describe
and represent linear relationships using words,
tables, numerical patterns, graphs, and
equations. Translate among these
representations. Describe, analyze and use
key characteristics of linear functions and their
graphs Interpret and compare linear models
for data that exhibit a linear trend including
contextual problems
Marking Period 2
Objective 8: Graph and analyze the graph of the
solution set of a two-variable linear inequality.
Objective 9: Solve systems of linear equations
in two variables using algebraic and graphic
procedures. Recognize, express and solve
problems that can be modeled using one or twovariable inequalities; or two variable systems of
linear equations. Interpret their solutions in terms
of the context of the problem.
Objective 14: Apply the laws of exponents to
numerical and algebraic expressions with
integral exponents to rewrite them in different but
equivalent forms or to solve problems. Apply the
laws of exponents to numerical and algebraic
expressions with integral exponents to rewrite
them in different but equivalent forms or to solve
problems
Objective 6: Solve inequalities and graph
solutions on a number line. Model real world
situations with inequalities and explain
solutions in the context of the problem.
Objective 7: Solve equations involving the
absolute value of a linear expression.
Objective 8: Graph and analyze the graph of
the solution set of a two-variable linear
inequality.
9-2 Unit Sequencing and Pacing
Objective 4:
(A) Model and explain the concept of a function
using situations, graphs, tables, and functional
notation.
(B) Interpret functions that arise in applications in
terms of the context.
Graph linear functions given an equation or table
and interpret the graph in the context of the
problem.
Recognize slope as rate of change and use the
slope and intercepts to answer questions about a
problem with or without context.
Graphing Linear Equations & Functions (4- 5 Wks)
-Plot Points in a coordinate plane
-Graph Linear Equations
-Graph Using Intercepts
-Find Slope and Rate of Change
-Graph Using Slope-Intercept Form
Objective 5: Recognize, describe and represent
linear relationships using words, tables,
numerical patterns, graphs, and equations.
Translate among these representations.
Writing Linear Equations (4 to 5 Weeks)
-Write Linear Equations in Slope-Intercept Form
-Use Linear Equations in Slope-Intercept Form
-Write Linear Equations in Point-Slope Form
-Write Linear Equations in Standard Form
-Write Equations of Parallel Lines
July 2012
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School District of South Orange and Maplewood Mathematics Department
Appendix B: ALGEBRA 1 CURRICULUM: PACING GUIDE
Marking Period 3
9-4 Unit Sequencing and Pacing
9-3 Unit Sequencing and Pacing
Objective 12: Apply probability concepts to
determine the likelihood an event will occur in
practical situations.
Objective 12: Apply probability concepts
to determine the likelihood an event will
occur in practical situations.
Objective 13: Use counting principles to
determine the number of ways an event can
occur. Interpret and justify solutions.
Objective 13: Use counting principles to
determine the number of ways an event
can occur. Interpret and justify solutions.
Objective 15: Model and solve problems
involving exponential growth and decay.
Objective 9: Solve systems of linear
equations in two variables using algebraic
and graphic procedures. Recognize,
express and solve problems that can be
modeled using one or two-variable
inequalities; or two variable systems of
linear equations. Interpret their solutions
in terms of the context of the problem.
Objective 16: Add, subtract and multiply
polynomial expressions with or without a
context.
Objective 17: Factor simple polynomial
expressions with or without context.
Solve factored polynomial equations with or
without context.
Begin Objective 14: Apply the laws of
exponents to numerical and algebraic
expressions with integral exponents to
rewrite them in different but equivalent
forms or to solve problems.
9-2 Unit Sequencing and Pacing
Objective 12: Apply probability concepts to
determine the likelihood an event will occur in
practical situations.
Probability (2.5 Weeks)
-Find Probabilities and Odds
-Find Probabilities of Compound Events
Objective 13. Use counting principles to
determine the number of ways an event can
occur. Interpret and justify solutions.
Objective 6: Solve inequalities and graph
solutions on a number line.
Model real world situations with inequalities
and explain solutions in the context of the
problem.
Solving and Graphing Linear Inequalities (5
Weeks)
-Solve Inequalities Using Addition and Subtracting
-Solve Inequalities Using Multiplication and Division
-Solve Multi-Step Inequalities
-Solve Absolute Value Equations
-Graph Linear Inequalities in Two Variables
Objective 7: Solve equations involving the
absolute value of a linear expression.
Objective 8: Graph and analyze the graph of
the solution set of a two-variable linear
inequality.
Objective 9: Solve systems of linear
equations in two variables using algebraic and
graphic procedures.
**ONLY GRAPHING IN MP 3
Systems of Equations and Inequalities (1 to 2
Weeks)
Graphing Systems of Equations by Graphing
July 2012
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School District of South Orange and Maplewood Mathematics Department
Appendix B: ALGEBRA 1 CURRICULUM: PACING GUIDE
9-4 Unit Sequencing and Pacing
9-3 Unit Sequencing and Pacing
9-2 Unit Sequencing and Pacing
Objective 18: Recognize, describe, represent
and analyze a quadratic function using words,
tables, graphs and equations.
Continue Objective 14: Apply the laws of
exponents to numerical and algebraic expressions
with integral exponents to rewrite them in different
but equivalent forms or to solve problems
Objective 9 (continued): Solve systems of
linear equations in two variables using
algebraic and graphic procedures.
Analyze a table, numerical pattern, graph,
equation or context to determine whether a
linear or quadratic relationship could be
represented.
Marking Period 4
Recognize and solve problems that can be
modeled using a quadratic function. Interpret
the solution in terms of the context of the
original problem.
Objective 19: Solve quadratic equations.
Objective 20: Analyze a table, numerical
pattern, graph, equation or context to
determine whether a linear, quadratic or
exponential relationship could be represented.
Or, given the type of relationship, determine
the elements of the table, numerical pattern or
graph.
Objective 21: Use the properties of radicals to
rewrite numerical and algebraic expressions
containing square roots in different but
equivalent forms or to solve problems.
Objective 15: Model and solve problems involving
exponential growth and decay.
Objective 16: Add, subtract and multiply
polynomial expressions with or without a context.
Objective 17: Factor simple polynomial
expressions with or without context.
Solve factored polynomial equations with or without
context.
Recognize, express and solve problems that
can be modeled using one or two-variable
inequalities; or two variable systems of linear
equations. Interpret their solutions in terms of
the context of the problem.
Systems of Equations and Inequalities (3 to 4
weeks)
-Systems by Substitution
Systems by Elimination
-Solving Linear Systems by Adding or Subtracting
-Solving Linear Systems by Multiplying First
-Solve Special Types of Systems
Objective 14: Apply the laws of exponents to
numerical and algebraic expressions with
integral exponents to rewrite them in different
but equivalent forms or to solve problems.
Exponent and Exponential Functions (2 Weeks)
-Apply Exponent Properties Involving Products
-Apply Exponent Properties Involving Quotients
-Define and Use Zero and Negative Exponents
-Use Scientific Notation
Objective 16: Add, subtract and multiply
polynomial expressions with or without a
context.
Objective 17: Factor simple polynomial
expressions with or without context.
Solve factored polynomial equations with or
without context. (a=1 only)
Polynomial and Factoring (3 Weeks)
-Add and Subtract Polynomials
-Multiplying Polynomials
-Factor
July 2012
x 2  bx  c
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