Algebra 1
Curriculum Map
Table of Contents
Unit 1: Expressions and Equations
Unit 6: Polynomials
Unit 2: Linear Equations
Unit 7: Factoring and Quadratics
Unit 3: Representing Linear Equations
Unit 8: Rational Equations
Unit 4: Linear Inequalities
Unit 9: Applying Fractions
Unit 5: Systems of Linear Equations
Unit 10: Radical Equations
Purpose of a Curriculum Map
The purpose of a curriculum map is to document the intended
relationship between components of the curriculum. Used as an analysis
tool, a curriculum map allows instructors to review the curriculum to check
for unnecessary redundancies, inconsistencies, misalignments, weaknesses
and gaps. Ultimately, a curriculum map will be the bridge between the state
standards and state-mandated curriculum and the taught and learned
curriculum.
Unit 1: Expressions & Equations
Approximate Duration of Study: 1 weeks
CCS
A.SSE.1.a
A.SSE.1.b
Essential Question
Why do we use
variables?
Why are “the order
of operations” and
other properties of
mathematics
important?
Concept
Variables and
Expressions
Order of
Operations
Distributive
Property
Equations
Skills
Write verbal
expressions for
algebraic
expressions
Write algebraic
expressions for
verbal expressions
Evaluate numerical
and algebraic
expressions by
using the order of
operations
Use the
Distributive
Property to
simplify and
evaluate
expressions
Solve equations
with two variables
given a domain
When to Study: Aug
Assessments
A.N. Chap. 1 Quiz
A.N. Chap. 1 Quiz #2
A.N. Chap. 1 Quiz #3
A.N. Chap. 2 Quiz
A.N. Chap. 2 Quiz #2
A.N. Chap. 2 Quiz #3
A.N. Chap. 2 Quiz #4
Chap. 1.7 Story
Problem Quiz
Quiz 2.4-2.6
Quiz 2.6-2.8
Helpful Strategies and Resources
McDougal Littell/ Houghton Mifflin – “Algebra:
Stucture and Method Book 1” – Chapter 1 and
accompanying resources
McDougal Littell/ Houghton Mifflin – “Algebra:
Stucture and Method Book 1” – Chapter 2 and
accompanying resources
Algeblocks Labs
o Labs 3-1, 3-2, 3-3, 3-4, 3-5, 3-6
o Labs 5-2, 5-3, 5-1, 5-4, 5-5, 5-6
Math Words Jigsaw Activity
Writing a Story Problem Project Rubric
Distributive Property (pdf)
Combining Like Terms (pdf)
Evaluating Expressions (pdf)
Order of Operations (pdf)
Vocabulary: Variable, Expression, Order of Operations, Distributive Property, Equations, Domain
Unit 2: Linear Equations
Approximate Duration of Study: 2 weeks
CCS
A.CED.
1
A.REI.1
A.REI.3
Essential Question
Why is advantageous
to use and solve
equations
algebraically for realworld problems?
Concept
Writing
Equations
Skills
One-step
equations
Solve equations by
using addition or
subtraction
Solve equations by
using multiplication
or division
Solve equations
involving more than
one operation
Solve equations
with the variable on
each side
Solve equations
involving grouping
symbols
Evaluate absolute
value expressions
Solve absolute value
equations
Solve equations for
given variables
A.REI.1
A.REI.3
Multi-Step
Equations
A.REI.1
A.REI.3
Equations
with the
variable on
each side
A.REI.1
A.CED.
4
When would we
want to use the
absolute value of
numbers?
Absolute
Value
Equations
Literal
Equations
When to Study: Aug/ Sept
Assessments
Translate sentences
into equations
Helpful Strategies and Resources
McDougal Littell/ Houghton Mifflin – “Algebra:
Stucture and Method Book 1” – Chapter 3 and
accompanying resources
McDougal Littell/ Houghton Mifflin – “Algebra:
Stucture and Method Book 1” – Chapter 1, Sec. 9
(Absolute Value of Expressions)
Algeblocks Labs
o Labs 9-2, 9-3, 9-4, 9-5, 9-6, 9-7, 9-8
Cost, Value, Income Worksheet
Chapter 3 Review Worksheet
One-Step Equations (pdf)
Two-Step Equations (pdf)
Multi-Step Equations (pdf)
Absolute Value Equations (pdf)
A.N. Chap. 3 Quiz
A.N. Chap. 3 Quiz #2
A.N. Chap. 3 Quiz #3
Chap. 3.3-4.1
Vocabulary: Formula, Equation, Equivalent, Consecutive Integers, Identity, Cost, Value, Income, Literal Equation, Absolute Value
Unit 3: Representing Linear Equations
Approximate Duration of Study: 3 – 4 weeks
CCS
Essential Question
A.REI.10
A.REI.10
Concept
Graphing
Linear
Equations
Skills
Solving linear
equations by
graphing
Solve equations by
graphing and identifying
the root
Estimate solutions to an
equation by graphing
How does the slope Rate of Change
affect direct
and Slope
variation?
Direct
Variation
When to Study: September
Assessments
Identify linear equations,
intercepts, and zeros
Graph linear equations
Use rate of change to
solve problems
Find the slope of a line
Write and graph direct
variation equations
Solve problems involving
direct variation
A.REI.10
A.CED.2
What does the
slope-intercept
form of an
equation tell us?
Graphing
Equations in
Slope-Intercept
Form
Write and graph linear
equations in slopeintercept form
Writing
equations in
slope-intercept
form
Write an equation of a
line in slope-intercept
form given the slope and
one point
Model real-world data
with equations in slopeintercept form
Write an equation of a
line in slope-intercept
form given two points
A.N. Chap. 8 Quiz
A.N. Chap. 8 Quiz #2
A.N. Chap. 8 Quiz #3
A.N. Chap. 8 Quiz #4
Helpful Strategies and Resources
McDougal Littell/ Houghton Mifflin – “Algebra:
Stucture and Method Book 1” – Chapter 8 and
accompanying resources
Graphing Lines Activity (Using Geogebra)
Graphing Lines Activity on Graphing Calculators
Rate of Change Activity
Plotting Points Activity (Excel)
y=mx+b slider (GeoGebra)
Line of best Fit Project
o Chapter 8 Project Cover Sheet
o Sample Datasets for Ch. 8 Project.xlsx
Slope From a Graph (pdf)
Slope From Two Points (pdf)
Slope From an Equation (pdf)
Graphing Lines in Slope-Intercept Form (pdf)
Graphing Lines in Standard Form (pdf)
Writing Linear Equations (pdf)
ACED.2
A.REI.1
0
Why should we
know different
forms of linear
equations?
Equations in
different forms
Write equations of lines
in standard form
Write equations of lines
in point-slope form
Write linear equations in
different forms
How do we write
the equations of
parallel and
perpendicular
lines?
How do we use
real-world data to
write the equation
of a line?
Parallel and
Perpendicular
Lines
Write equations of lines
passing through a given
point and either parallel
or perpendicular to a
given line
Lines of Fit
Investigate relationships
between quantities by
using points on scatter
plots
Use lines of fit to make
and evaluate predictions
Vocabulary: Linear Equation, x-intercept, y-intercept, Rate of Change, Slope, Direct Variation, Slope-Intercept Form, Point-Slope Form, Parallel Lines,
Perpendicular Lines, Scatter Plot, Line of Fit
Unit 4: Linear Inequalities
Approximate Duration of Study: 2 weeks
CCS
A.REI.3
Essential Question
-How are inequalities
and equations alike?
How are they
different?
How do the words
“and” and “or” affect
the outcome of an
inequality?
A.REI.1
2
Concept
Inequalities
Involving
Addition and
Subtraction
Inequalities
Involving
Multiplication
and Division
Solving MultiStep
Inequalities
Solving
Compound
Inequalities
Inequalities
involving
Absolute
Value
Inequalities in
Two Variables
Skills
When to Study:
Assessments
Solving linear
inequalities by using
addition and
subtraction
Solving linear
inequalities by using
multiplication and
division
Solve linear
inequalities
involving more than
one operation
Solve inequalities
involving the
Distributive Prop.
Solve compound
inequalities
containing the word
“and” and graph
their solution set
Solve compound
inequalities
containing the word
“or” and graph their
solution set
Solve and graph
absolute value
inequalities
Graph linear
inequalities on the
coordinate plane
Solve inequalities by
graphing
Vocabulary: Inequality, Compound Inequality, Boundary, Half-Plane
Chapter 10 Test
Chapter 10 Test(2)
Chapter 10 Test(3)
Helpful Strategies and Resources
McDougal Littell/ Houghton Mifflin – “Algebra:
Stucture and Method Book 1” – Chapter 10 and
accompanying resources
HW Set #16
HW Set #17
Inequality Problem Solving
Multi-Step Inequalities (pdf)
One-Step Inequalities (pdf)
Two-Step Inequalities (pdf)
Compound Inequalities (pdf)
Absolute Value Inequalities (pdf)
Graphing Linear Inequalities (pdf)
Unit 5: Systems of Linear Equations and Inequalities
Approximate Duration of Study: 2 weeks
CCS
A.REI.6
A.REI.1
1
Essential Question
How might one
determine the most
efficient method for
solving a system of
equations?
Concept
Graphing
Systems of
Equations
A.REI.5
A.REI.6
Substitution
A.REI.5
A.REI.6
Elimination
A.REI.6
Applying
Systems of
Linear
Equations
A.REI.8
Why would using a
matrix to solve a
system of equations
be useful?
Matrix
equations
Skills
When to Study: October/November
Assessments
Determine the
number of solutions
a system of
equations has, if any
Solve systems of
linear equations by
graphing
Solve systems of
equations by using
substitution
Solve systems of
equations by using
elimination with
addition
Solve systems of
equations by using
elimination with
subtraction
systems of
equations by using
elimination with
multiplication
Determine the best
method for solving
systems of
equations
Apply systems of
equations to solve
real-world problems
Represent and solve
systems of
equations in
reduced-row
echelon form
Helpful Strategies and Resources
McDougal Littell/ Houghton Mifflin – “Algebra:
Stucture and Method Book 1” – Chapter 9 and
accompanying resources
Systems of Equations Graphing (pdf)
Systems of Equations Substitution (pdf)
Systems of Equations Elimination (pdf)
Systems of Equations Word Problems (pdf)
A.N. Chap. 9 Quiz #1
A.N. Chap. 9 Quiz #2
A.N. Chap. 9 Quiz #3
A.N. Chap. 9 Quiz #4
Vocabulary: System of Equations, Consistent, Independent, Dependent, Inconsistent, Substitution, Elimination, Matrix, Augmented Matrix, Row
Reduction
Unit 6: Polynomials
Approximate Duration of Study: 3 – 4 weeks
CCS
A.APR.1
Essential Question
How might we
classify
polynomials?
A.APR.1
Concept
Multiplying
Monomials
Dividing
Monomials
Polynomial
Identification
A.APR.1
A.APR.1
A.APR.1
How can we use
the polynomial
operations of
addition,
subtraction, and
multiplication in
real life?
Adding/
Subtracting
Polynomials
Skills
When to Study: November
Assessments
Base and Exponent
Power of product
Power of a power
Find the quotient of two
monomials
Simplify expressions
containing negative and
zero exponents
Find the degree of a
polynomial
Write polynomials in
standard form
Identify “like terms”
Quiz 4.3-4.4
Helpful Strategies and Resources
McDougal Littell/ Houghton Mifflin – “Algebra:
Stucture and Method Book 1” – Chapter 4 and
accompanying resources
Algeblocks Labs
o Labs 6-1, 6-2, 6-3
Multiplying Polynomials by Monomials
Exponents Intro PowerPoint
More Properties of Exponents (pdf)
Naming Polynomials (pdf)
Adding & Subtracting Polynomials (pdf)
Multiplying Polynomials (pdf)
Multiplying Special Cases (pdf)
Properties of Exponents (pdf)
Add/ subtract
polynomials
Multiplying a
Polynomial by
a Monomial
Use the Distributive
Property to multiply a
monomial by a
polynomial
Multiplying
Polynomials
Use the Distributive
Property to multiply a
polynomial by another
polynomial
Special
Products
Find the squares of sums
and differences
Find the product of a
sum and difference
Quiz 4.6-4.8
A.N. Chap. 4 Quiz #1
A.N. Chap. 4 Quiz #2
A.N. Chap. 4 Quiz #3
A.N. Chap. 4 Quiz #4
Vocabulary: Monomial, Constant, Zero Exponents, Negative Exponents, Like Terms, Polynomial, Binomial, Trinomial, Degree of a Monomial, Degree of
a Polynomial, Standard Form of a Polynomial, Leading Coefficient, Quadratic Expression
Unit 7: Factoring and Quadratic Equations
Approximate Duration of Study: 4 – 5 weeks
CCS
Essential Question
How does finding
greatest common
factors in factoring
polynomials?
Concept
Factoring
Monomials
Monomial
Factors of
Polynomials
Zero Product
Property
A.REI.2
A.REI.4b
A.SSE.3a
Why do we factor
polynomials?
Factoring
Quadratic
Equations
When to Study: January
Skills
Write a monomial in
factored form
Find the Greatest
Common Factors (GCF)
of monomials
Divide out the GCF of
the terms
Factor a polynomial by
grouping
Solve a quadratic
equation using the zero
product property
Factor quadratic
equations of the form:
x2
bx c
0
Factor quadratic
equations of the form:
ax 2
bx c
0
A-REI.4b
A-REI.2
How can we
identify a
difference of
squares?
Special
Products
Factor quadratic
equations that are the
differences of squares
Factor quadratic
equations that are
perfect squares
A-REI.4b
When might it be a
good idea to not
factor and use a
different method
for solving
quadratic
equations?
Square Root
Property
Solve a quadratic
equation in the form
F.IF.7a
F.IF.8a
x2
Solving
Quadratic
Equations by
Assessments
Quiz 5.1-5.3
n
Analyze the
characteristics of the
graphs of quadratic
equations
Quiz 5.4-5.6
Helpful Strategies and Resources
McDougal Littell/ Houghton Mifflin – “Algebra:
Stucture and Method Book 1” – Chapter 5 and
accompanying resources
HW Set #1
HW Set #2
HW Set #3
HW Set #4
HW Set #5
HW Set #6
HW Set #7
Chapter 5 Review
Factoring Review Worksheet
Chapter 5 Practice Test
Factoring 1 (pdf)
Factoring 2 (pdf)
Factoring Special Cases (pdf)
Factoring By Grouping (pdf)
Solving Quadratic Factoring (pdf)
Complete the Square (pdf)
Solving Completing Square (pdf)
Quadratic Formula (pdf)
Solving Quadratic Roots (pdf)
SmartBoard Presentations
5.1- 5.3.notebook
5.4-5.7.notebook
Graphing
A-REI.4b
A-REI.4a
Completing the
Square
A-REI.4b
Quadratic
Formula
Vocabulary:
Estimate solutions of
quadratic equations by
graphing
Solve quadratic
equations by completing
the square
Use the Discriminant to
determine the number
of solutions to a
quadratic equations
Solve quadratic
equations by using the
Quadratic Formula
Chapter 5d Test
Unit 8: Rational Expressions
Approximate Duration of Study: 3 – 4 weeks
CCS
Essential Question
How is factoring
used to simplify a
rational
expression?
Concept
Simplifying
Rational
Expression
A.APR.6
A.APR.7
How are
reciprocals used to
divide rational
expressions?
Multiplying and
Dividing
Rational
Expressions
A.APR.7
How do we
add/subtract
fractions?
Adding and
Subtracting
Rational
Expressions
A.CED.3
A.APR.7
Vocabulary:
Mixed
Expressions
Skills
Simplify rational
expressions using
common factors to
reduce
Identify excluded values
that would make the
expression impossible
(i.e. the denominator
equal to 0)
Multiply rational
expressions, as we
would common
fractions, and reduce by
common factors
Divide rational
expressions and reduce
by common factors
Divide rational
expressions using
polynomial long division
Determine the Least
Common Denominator
of two or more fractions
Add/ subtract rational
expression with and
without common
denominators
Simplify mixed
expressions
Simplify and use
complex fractions to
solve problems
When to Study: February
Assessments
Quiz 6.1
Ch 6.1 Quiz
Ch 6.1-6.2 Quiz
Ch 6.2-6.3 Quiz
Ch 6.3-6.4 Quiz
Ch 6.7 Quiz
Chapter 6 Test
Chapter 6 Test
#2
Helpful Strategies and Resources
McDougal Littell/ Houghton Mifflin – “Algebra:
Stucture and Method Book 1” – Chapter 6 and
accompanying resources
HW Set #8 (Hanner)
HW Set #9 (Hanner)
HW Set #10 (Hanner)
Fractions Review (Hanner)
Adding Fractions Worksheet (Hanner)
Chapter 6 Review
Simplifying Rational Expressions (pdf)
Multiplying Rational Expressions (pdf)
Adding & Subtracting Rational Expressions (pdf)
Dividing Rational Expressions (pdf)
Dividing Polynomials (pdf)
SmartBoard
6.1 - 6.3.notebook
6.4 - 6.5.notebook
Unit 9: Applying Fractions
Approximate Duration of Study: 3 weeks
CCS
A.CED.1
A.CED.1
Essential Question
How can
proportions be
used to solve
problems?
How are percents
and fractions
related?
A.APR.1
A.REI.2
A.SSE.3c
Concept
Ratios and
Proportions
Skills
Percents
Write a percent in
decimal and fractional
form
Setup and solve percent
proportions
Find the percent of
change and solve
problems involving
percent of change
Solve equations with
fractional coefficients
Solve equations
involving variables in the
denominator of fractions
Setup and solve
problems involving
mixture
Simplify an expression
involving negative
exponents
Simplify expressions in
scientific notation
Fractional
Equations
How is a problem
simplified with a
negative
exponent?
Negative
Exponents
Setup and simplify ratios
Setup and solve
proportions
When to Study: March
Assessments
Quiz 7.1
Quiz 7.1-7.3
Chapter 7 Test
Chapter 7 Test #2
Helpful Strategies and Resources
McDougal Littell/ Houghton Mifflin – “Algebra:
Stucture and Method Book 1” – Chapter 7 and
accompanying resources
HW Set 11
HW Set 12
HW Set 13
HW Set 14
HW Set 15
Proportion Worksheet
Proportion Problem Solving
More Proportion Problem Solving
Mixture and Work Problems
Chapter 7 Review
Solving Proportions (pdf)
Percent Problems (pdf)
Percent of Change (pdf)
Mixture Word Problems (pdf)
Work Word Problems (pdf)
Writing Scientific Notation (pdf)
Operations Scientific Notation (pdf)
SmartBoard Lessons
7.1-7.3.notebook
7.4-7.6.notebook
Vocabulary: Ratio, Proportion, Percent, Percent of Change, Fractional Equations, Mixture, Negative Exponents, Scientific Notation
Unit 10: Radical Functions
Approximate Duration of Study: 3 weeks
CCS
A.SSE.3C
Essential
Question
What makes a
number a rational
number?
Concept
Skills
Properties of
Rational
Numbers
What are your
essential rules
when performing
basic operations
and simplification
of square roots?
Rational and
Irrational
Square Roots
Identify a rational
number
Convert a number in
fractional form to
decimal form and vice
versa
Find the value of a
rational square root
A.SSE.2
Operations on
Square Roots
A.REI.2
Radical
Equations
G.SRT.8
Pythagorean’s
Theorem
Vocabulary:
Simplify an irrational
square root expression
Simplify a square root
expression involving
variables
Multiply and divide
square root expression
Use conjugates to
rationalize the
denominator
Add and subtract square
root expressions
Use the Power Property
of Equality to solve
equations
Checking for extraneous
solutions
Use Pythagorean’s
Theorem to solve
problem involving right
triangles
When to Study: April/May
Assessments
Quiz 11.1 - 11.3
Quiz 11.4
Quiz 11.5 – 11.6
Quiz 11.1 - 11.3
Quiz 11.1–11.3
(2)
Quiz 11.1-11.3
(3)
Quiz 11.7-11.9
Helpful Strategies and Resources
McDougal Littell/ Houghton Mifflin – “Algebra:
Stucture and Method Book 1” – Chapter 11 and
accompanying resources
Study Guide for 11-5 to 11-6
Study Guide for 11-7 to 11-9
Radical Equations 1 (pdf)
Radical Equations 2 (pdf)
Simplifying Radicals (pdf)
Adding & Subtracting Radical Expressions (pdf)
Multiplying Radical Expressions (pdf)
Dividing Radical Expressions (pdf)
HW Set #19
HW Set #20
SmartBoard Presentations
11.1 - 11.3