Download A.1

Nine Weeks 1
Standards
Including SOLs
Unit 1
A.1
Topics and/or Strands
Time
Estimate
5 days
Chapter 1
Expressions, Equations, and Functions
 Variables and Expressions
 Order of Operations
 Open Sentences
 Properties
Unit 2
A.1
A.3
Rational Numbers and Square Roots
 Rational Numbers
 Square Roots
4 days
Solving Linear Equations

Single Step Equations

Multi-Step Equations
 Solving Equations and Formulas
10 days
Proportions and Variations
 Proportions
 Percents
 Direct and Inverse Variation
4 days
Relations and Functions
 Coordinate Plane
 Relations
 Equations as Relations
 Linear Relations and Functions
 Writing Equations from Patterns
8 days
Linear Equations
 Slope
 Linear Equations in Point-Slope and Standard Form
 Scatter Plot and Best-Fit Lines
 Linear Equations in Slope-Intercept Form
 Graphing Linear Equations
10 days
Chapter 2
Unit 3
A.4
Chapter 3
Unit 4
A.8
Chapter 4
Unit 5
A.4
A.7
Chapter 5
Unit 6
A.6
A.11
Chapter 6
Nine Weeks 2
Standards
Including SOLs
Unit 7
A.5
A.10
Chapter 7
Unit 8
A.4
A.5
Chapter 8
Unit 9
A.2
Chapter 9
Unit 10
A.2
Chapter 10
Unit 11
A.3
Topics and/or Strands
Time
Estimate
Linear Inequalities
 Single-Step Inequalities
 Multi-Step Inequalities
 Compound Inequalities
 Graphing Inequalities
 Solving Multi-Step Inequalities with two variables
 Box-and-Whisker Plots
7 days
Systems of Linear Equations
 Graphing Systems
 Substitution
 Elimination
 Elimination by Multiplication
 Graph and Solve Systems of Inequality
8 days
Polynomials
 Monomials
 Polynomials
 Add, Subtract, and Multiply Polynomials
8 days
Factoring
 Factors and Prime Factorization
 Factoring by Using Distributive Property
 Factoring Trinomials
8 days
Radical Expressions
 Simplifying square roots
 Simplify cube roots (Supplement by using the Algebra II book)
4 days
Statistics (Supplement by Using the Algebra II book)
 Mean absolute deviation
 Variance and Standard Deviation
 Z-Score
5 days
Chapter 13
Unit 12
A.9
SOL Review
5 days
Organizing Topic: Expressions and Operations
Standard: A.1
Essential Knowledge and Skills
Critical Vocabulary
Examples
(text or supplement)
Prerequisites
Red Flags
Released SOL Questions
Translate verbal quantitative
situations into algebraic expressions
and vice versa
Sum, difference,
product, quotient,
divided by, more than,
less than, quantity,
twice, double, etc.
Algebraic Expression
Verbal Expression
Page 6-9
Red Flag
Less than
Quantity ()
2009 #29
2008 #19,
2006 #20
2005 #30
Page 10
# 48
Page 11
#49-50
2008 #23
2006#1,12
2005 #1
Replacement Set
Solution Set
Rational #
Empty Set
Square Roots
Cube Roots
Absolute Value
Page 32-35
2007 #19,2629
2006 #19
2005 #29
Page 119-123
2006 #30
Model real-world situations with
algebraic expressions in a variety
of representations (concrete,
pictorial, symbolic, verbal).
Evaluate algebraic expressions
for a given replacement set to
include rational numbers.
Evaluate expressions that contain
absolute value, square roots, and
cube roots
Organizing Topic: Expressions and Operations
Standard: A.2
Essential Knowledge and Skills
Critical Vocabulary
Simplify monomial expressions
and ratios of monomial
expressions in which the
exponents are integers, using
the laws of exponents.
Monomial
Exponents
Model sums, differences,
products, and quotients of
polynomials with concrete
objects and their related
pictorial representations.
Polynomial
Examples
(text or supplement)
Page 496-505
Prerequisites
Red Flags
Released SOL Questions
2009 #28
2008 #24,26,30
2007 #27
2006 #25,26
2005 #23,24
Page 514-547
2009 #23
2007 #21
2006 #23
Page 522-526
2009 #25
2007 #24
2006 #22
2005 #21
Page 529-545
2009 #22
2008 #27
2006 #21
2005 #20
Relate concrete and pictorial
manipulations that model
polynomial operations to their
corresponding symbolic
representations.
Find sums and differences of
polynomials.
Find products of polynomials.
The factors will have no more
than five total terms (i.e.
(4x+2)(3x+5) represents four
terms and (x+1)(2x2 +x+3)
represents five terms).
FOIL
Find the quotient of
polynomials, using a monomial
or binomial divisor, or a
completely factored divisor.
Factor completely first- and
second-degree polynomials
with integral coefficients.
Page 501-505
2009 #26
2008 #22,25
2005 #19
Factoring
Prime Factorization
GCF
Page 558-592
2009 #27
2008 #28
2007 #22,23,30
2006 #27
2005 #26
X-intercepts
Page 595-600
Teach by using Calculator
Identify prime polynomials.
Use the x-intercepts from the
graphical representation of the
polynomial to determine and
confirm its factors.
Red Flags
X and Y Axis
2008 #7
2007 #16
Organizing Topic: Expressions and Operations
Standard: A.3
Essential Knowledge and Skills
Critical Vocabulary
Examples
(text or supplement)
Prerequisites
Red Flags
Released SOL Questions
Express square roots of a whole
number in simplest form.
Square Roots
Cube Roots
Page 119-123
Red Flags
Cube Roots not in the
book
2009 #19
2008 #21
2007 #20,25
2005 #28
Express the cube root of a whole
number in simplest form.
Express the principal square root
of a monomial algebraic
expression in simplest form
where variables are assumed to
have positive values.
Supplement
To Algebra II
Page 719-725
Organizing Topic: Equations and inequalities
Standard: A.4
Essential Knowledge and Skills
Critical Vocabulary
Simplify expressions and solve
equations, using the field
properties of the real numbers
and properties of equality to
justify simplification and
solution.
Confirm algebraic solutions to
linear and quadratic equations,
using a graphing calculator.
Released SOL Questions
Page 144-171
2009 #3
2008 #16
2007 #9,14
2006 #4
2005 #5
Quadratic
Page 594-598
2009 #11
2008 #2
2007 #3
2006 #16,18
2005 #18
Linear Equation
Page 156-161
Page 168-171
2009 #16
2008 #14,17
2007 #1,15
2006 #2
2005 #2
Identify the roots or zeros of a
quadratic function over the real
number system as the
solution(s) to the quadratic
equation that is formed by
setting the given quadratic
expression equal to zero.
Solve multistep linear equations
in one variable.
Prerequisites
Red Flags
Page 173-176
Solve a literal equation
(formula) for a specified
variable.
Solve quadratic equations.
Examples
(text or supplement)
Page 270, 273,276
Page 622&632
Given a system of two linear
equations in two variables that
has a unique solution; solve the
system by substitution or
elimination to find the ordered
pair which satisfies both
equations.
Elimination
Substitution
Given a system of two linear
equations in two variables that
has a unique solution, solve the
system graphically by identifying
the point of intersection.
Determine whether a system of
two linear equations has one
solution, no solution, or infinite
solutions.
Write a system of two linear
equations that models a realworld situation.
Interpret and determine the
reasonableness of the algebraic
or graphical solution of a system
of two linear equations that
models a real-world situation.
Page 462-473
2009 #7,15
2008 #5,13
2007 #2,5,13
2006 #15
2005 #14
Page 454-479
One Solution
No Solution
Infinite Solution
454-479
Page 464-468
Page 470-473
Page 477-481
2009 #12
2008 #9
2006 #12
2005 #15
Organizing Topic: Equations and inequalities
Standard: A.5
Essential Knowledge and Skills
Critical Vocabulary
Examples
(text or supplement)
Solve multistep linear inequalities
in one variable.
Inequalities
Page 384-403
Justify steps used in solving
inequalities, using axioms of
inequality and properties of order
that are valid for the set of real
numbers.
Supplement
Geometry Book
Solve real-world problems
involving inequalities.
Page 482-486
Solve systems of linear
inequalities algebraically and
graphically.
Page 482-486
Prerequisites
Red Flags
Released SOL Questions
2009 #1
2008 #8
2007 #17
2006 #3
2005 #3
2009 #8
Organizing Topic: Equations and inequalities
Standard: A.6
Essential Knowledge and Skills
Critical Vocabulary
Examples
(text or supplement)
Prerequisites
Red Flags
Released SOL Questions
Graph linear equations and
inequalities in two variables,
including those that arise from a
variety of real-world situations.
Use the parent function y = x and
describe transformations
defined by changes in the slope
or y-intercept.
2009 #4
Find the slope of the line, given
the equation of a linear function.
Slope-Intercept
Page 346-351
Find the slope of a line, given the
coordinates of two points on the
line.
Point-Slope
Standard Form
Slope
Page 325-329
2009 #13
2008 #6
2006 #8
2005 #9
2009 #5,14,17
2008 #1,3
2007 #4,10
2006 #11,17
2005 #6,8
Page 362-372
2009 #4
Find the slope of a line, given the
graph of a line.
Recognize and describe a line
with a slope that is positive,
negative, zero, or undefined.
Use transformational graphing to
investigate effects of changes in
equation parameters on the
graph of the equation.
Write an equation of a line when
given the graph of a line.
Page 356-360
Write an equation of a line when
given two points on the line
whose coordinates are integers.
Page 332-337
2007 #6,7
2006 #10,12
2005 #6,12,13
2009 #10,14
2008 #11,12
2007 #8
2006 #7
Page 356-360
2008 #18
Write an equation of a line when
given the slope and a point on
the line whose coordinates are
integers.
Write an equation of a vertical
line as x = a.
Write the equation of a
horizontal line as y = c.
Vertical Line
Horizontal Line
Organizing Topic: Functions
Standard: A.7
Essential Knowledge and Skills
Critical Vocabulary
Examples
(text or supplement)
Determine whether a relation,
represented by a set of ordered
pairs, a table, or a graph is a
function.
Relation
Order Pairs
Function
Page 287-293
2009 #31,35
2008 #33,38,40
2007 #35
2006 #34
2005 #36,37
Identify the domain, range,
zeros, and intercepts of a
function presented algebraically
or graphically.
Domain
Range
Page 262-285
2009 #33,38,40
2008 #36,39,42
2007 #39,40
2006 #37,38
2005 #38,40
For each x in the domain of f,
find f(x).
f(x)
Page 287-293
2009 #32
2008 #35,37
2007 #38
2006 #39
2005 #39
2009 #37
2008 #48
2006 #31
Represent relations and
functions using concrete, verbal,
numeric, graphic, and algebraic
forms. Given one representation,
students will be able to
represent the relation in another
form. Detect patterns in data
and represent arithmetic and
geometric patterns algebraically.
Page 295-302
Prerequisites
Red Flags
Released SOL Questions
Organizing Topic: Functions
Standard: A.8
Essential Knowledge and Skills
Critical Vocabulary
Examples
(text or supplement)
Prerequisites
Red Flags
Released SOL Questions
Given a situation, including a
real-world situation, determine
whether a direct variation exists.
Variation
Direct Variation
Inverse Variation
Page 239-244
Prerequisites
Proportions
2009 #30,34,36,39
2008 #32,34,41,49
2007 #31,33,42
2006 #35,40,41
2005 #31,34,35,42
Given a situation, including a
real-world situation, determine
whether an inverse variation
exists.
Write an equation for a direct
variation, given a set of data.
Write an equation for an inverse
variation, given a set of data.
Graph an equation representing
a direct variation, given a set of
data.
Organizing Topic: Statistics
Standard: A.9
Essential Knowledge and Skills
Critical Vocabulary
Examples
(text or supplement)
Analyze descriptive statistics to
determine the implications for
the real-world situations from
which the data derive.
Variance
Supplement
Algebra II
Given data, including data in a
real-world context, calculate and
interpret the mean absolute
deviation of a data set.
Mean Absolute
Deviation
Supplement
Algebra II
Given data, including data in a
real-world context, calculate
variance and standard deviation
of a data set and interpret the
standard deviation.
Standard Deviation
Supplement
Algebra II
Given data, including data in a
real-world context, calculate and
interpret z-scores for a data set.
Z-score
Supplement
Algebra II
Explain ways in which standard
deviation addresses dispersion by
examining the formula for
standard deviation.
Supplement
Algebra II
Compare and contrast mean
absolute deviation and standard
deviation in a real-world context.
Supplement
Algebra II
Prerequisites
Red Flags
Released SOL Questions
Organizing Topic: Statistics
Standard: A.10
Essential Knowledge and Skills
Critical Vocabulary
Examples
(text or supplement)
Compare, contrast, and analyze data,
including data from real-world
situations displayed in box-andwhisker plots.
Box-and-whisker
Page 427-434
Prerequisites
Red Flags
Released SOL Questions
2009 #47
2008 #44
2006 #47
2005 #43
Organizing Topic: Statistics
Standard: A.11
Essential Knowledge and Skills
Critical Vocabulary
Examples
(text or supplement)
Prerequisites
Red Flags
Released SOL Questions
Write an equation for a curve of
best fit, given a set of no more
than twenty data points in a
table, a graph, or real-world
situation.
Best Fit Lines
Page 339-345
Prerequisites
Graphing A Line
Plotting Points
2009 #50
2008 #50
2007 #41,45
2006 #50
2005 #48
Make predictions about
unknown outcomes, using the
equation of the curve of best fit.
Design experiments and collect
data to address specific, realworld questions.
Evaluate the reasonableness of a
mathematical model of a realworld situation.