ALGEBRA I
CURRICULUM GUIDE
Overview and Scope & Sequence
Loudoun County Public Schools
2013-2014
(Additional curriculum information and resources for teachers can be accessed through CMS)
Algebra I Nine Weeks Overview
1st Quarter
Unit 1 – Expressions
A.1
A.3
Unit 2 – Solving Linear
Equations and Inequalities
A.4 a, b, d, f
A.5 a, b, c
Unit 3 – Statistics
A.10
A.9
Unit 4 – Characteristics of
Linear and Quadratic
Functions (continues into
Q2)
A.7
21 blocks
2nd Quarter
Unit 4 – Characteristics of
Linear and Quadratic
Functions, con’t.
A.7
Unit 5 – Graphing Linear
Equations and Inequalities
– Understanding Slope
A.6 a
Unit 6 – Linear Equations
and Applications
A.6 b
A.11
3rd Quarter
Unit 8 – Systems of Linear
Equations and
Inequalities
A.4 e, f
A.5 c, d
Unit 9 – Polynomial
Operations (add,
subtract, and multiply)
A.2 a, b
4th Quarter
Unit 11 – Quadratic
Functions and
Applications, con’t
A.7 (spiral back to A.7)
A.4 a, b, c, f
A.11
After SOL Topics
A.LC.7
A.LC.1
A.LC.5
Unit 10 – Factoring and
Polynomial Division
A.2 c, b
Unit 7 – Direct and Inverse
Variation
A.8
Unit 11 – Quadratic
Functions and
Applications (continues in
Q4)
A.7 (spiral back to A.7)
A.4 a, b, c, f
A.11
21 blocks
21 blocks
22 blocks
Quarter 1: 21 blocks total
Number
of blocks
3
2
3
2
2
4
2
3
Standard Reporting Category
Scope & Sequence
Topic
Unit 1 – Expressions
A.1
Expressions and
Translating verbal situations & evaluating expressions (include the Real
Operations
Number System)
A.3
Expressions and
Evaluate, estimate and simplify square and cube roots of whole
Operations
numbers and square roots of monomial algebraic expressions
Unit 2 – Solving Linear Equations and Inequalities
A.4
Equations and Inequalities
Solve and justify multi-step equations algebraically and graphically
a,b,d,f
 Properties of Equality
 Properties of Real Numbers
 Translate and solve one-variable multi-step equations
 Solve real-world problems involving equations
 Solve literal equations
A.5
Equations and Inequalities
Solve and justifying multi-step inequalities algebraically and graphically
a,b,c
 Properties of Inequality
 Solve and graph solutions of multi-step linear inequalities
 Solve real-world problems involving inequalities
Unit 3 – Statistics
A.10
Functions and Statistics
Box and Whisker Plots (review measures of central tendency)
A.9
Functions and Statistics
Calculate, interpret, and analyze variance, mean absolute deviation,
standard deviation, and z-scores.
Unit 4 – Characteristics of Linear and Quadratic Functions (continued into Quarter 2)
A.7
Functions and Statistics
Characteristics of quadratic and linear function families (Using
graphical, numerical, and verbal representations)
 Determine whether a relation is a function
 Identify and describe domain and range
 Make connections between different representations of
functions.
Review and Assessments
Quarter 2: 21 blocks total
Number
of blocks
3
7
3
1
4
3
Standard Reporting Category
A.7
Functions and Statistics
Topic
Characteristics of quadratic and linear function families
(Using graphical, numerical, and verbal representations.
Solve for each of the following algebraically and graphically.
Connect these concepts and skills to those presented in
Math 7 and Math 8.)
 Zeros of a function
 x- and y-intercepts
 Finding the value of a function given the domain of
the function
 Identify general characteristics of linear and quadratic
function families.
 Make connections between different representations
of functions.
Unit 5 – Graphing Linear Equations and Inequalities – Understanding Slope
A.6 a
Equations and Inequalities
Graphing equations and inequalities
 Slope as rate of change
Unit 6 – Linear Equations and Applications
A.6 b
Equations and Inequalities
Writing linear equations (using graphical, numerical, and
verbal representations)
 Equations as one of the representations for a
function.
A.11
Functions and Statistics
Line of best fit
 Identifying linear relationships and non-linear
relationships
Unit 7 – Direct and Inverse Variation
A.8
Functions and Statistics
Direct and inverse variation
Review and Assessments
Quarter 3: 21 blocks total
Number
of blocks
Standard Reporting Category
Topic
Unit 8 – Systems of Linear Equations and Inequalities
5
2
A.4
e, f
A.5
c,d
Equations and Inequalities
Systems of equations
Equations and Inequalities
Systems of inequalities
Unit 9 –Polynomial Operations (add, subtract and multiply)
3
A.2 a
Expressions and Operations
3
A.2 b
Expressions and Operations
Applying laws of exponents to perform operations on
expressions
Polynomials operations – add, subtract and multiply
Unit 10 – Factoring and Polynomial Division
4
A.2 c
Expressions and Operations
Factor polynomials
1
A.2 b
Expressions and Operations
Polynomials operations – division
Unit 11 – Quadratic Functions and Applications (continued into Quarter 4)
1
2
A.7
Functions and Statistics
A.4 c
Expressions and Operations
**Spiral back to A.7 – Investigating characteristics of linear
and quadratic functions algebraically and graphically**
Solving quadratic equations algebraically and graphically.
Quadratic functions - graphing
Review and Assessments
Quarter 4: 22 blocks total
Number
of blocks
3
1
5
11
2
Standard Reporting Category
Topic
A.4
a, b,
c, f
Equations and Inequalities
A.11
Functions and Statistics
Solving Quadratic equations algebraically and graphically.
Quadratic functions – Solve using
 Graphing
 Factoring
 Quadratic Formula
Curve of best fit
 Identifying situations that follow a quadratic pattern
and those
SOL Review
After SOL Topics
 Compound Inequalities
 Absolute Value Equations & Inequalities
 Simplifying Radical Expressions (Rationalize the
denominator)
 Pythagorean Theorem & Midpoint/Distance Formulas
Review and Assessments
Additional information about the Standards of Learning can be found in the
VDOE Curriculum Framework
(click link below)
http://www.doe.virginia.gov/testing/sol/frameworks/mathematics_framewks/2009/framewk_algebra1.pdf