Algebra 2
Scope and Sequence
Pacing Guide
Textbook References for:
Glencoe Algebra 2; Holiday et al., McGraw-Hill Companies, Inc., 2005.
I.
Sequences and Series
SOL
Page
Section
Topic
AII.16
605-610
11.6
Recursive vs. Explicit Rules; Sequences
Intro; Arithmetic vs. Geometric; How
to use graphing calculator to find answer
Arithmetic Sequences: Explicit Rule
Geometric Sequences: Explicit Rule
Quiz
Arithmetic Series
Geometric Series
AII.16
AII.16
578-582
588-592
11.1
11.3
AII.16
AII.16
583-587
594-604
11.2
11.411.5
11.5
593
599-604
Convergent/Divergent Series
Unit Review and Test
II.
Page
Section
AII.09
56-62
346-352
383-394
2.1, 7.1
89-95
346-352
395-399
485-491
499-504
320-328
2.6, 7.1,
7.9, 9.3,
9.5
AII.08
AII.08
3
3
3
2
2
1
2
2
2
1
2
2
2
0
2
2
2
2
0
0
1
3
15
3
15
2
14
Functions
SOL
AII.09
Approx. Time
(in 45 min units)
Alg 2
Alg 2A Alg 2H
7.7-7.8
6.6
Topic
Functions, Relations, Graphs (Evaluate
f(5) =; f(x)=7, what is x?)
Composite, Inverse, Operations with
Functions
Quiz
Types of Functions
Translations of Functions
Unit Review and Test
Charlottesville City Schools
Revised August, 2005
Approx. Time
(in 45 min units)
Alg 2
Alg 2A Alg 2H
2
2
1
3
3
2
1
1
1
2
2
2
2
3
13
2
3
13
2
2
10
2
Algebra 2
III.
Linear Functions
SOL
Page
Section
Topic
AI.01
AII.01
6-27
33-38
1.1-1.3,
1.5
AII.04
28-32
40-46
1.4, 1.6
Expressions, Equations, Formulas,
Properties Equations and Inequalities
(use graphing calculator to check);
Absolute Value Equations and
Inequalities
Quiz
Scatterplots; Equations of best fit lines
drawn; predictions (use calculator to do
scatterplots)
AII.19
64-86
2.2-2.5
Approx. Time
(in 45 min units)
Alg 2
Alg 2A Alg 2H
2
2
1
2
2
2
1
1
1
5
3
2
2
2
2
0
0
1
3
15
3
13
2
11
Include review of writing equations of lines and
graphing lines here
AII.19
IV.
87-88
87-88
Using a calculator to find best fit lines
Different best fit lines (median vs. leastsquares); residuals
Unit Review and Test
Systems of Linear Equations and Inequalities
SOL
Page
Section
AI.04
AII.11
154-174
195-201
4.1-4.3
4.7
AI.09
110-122;
138-144
3.1-3.2,
3.5
202-208
4.8
AII.12
Topic
Review adding, subtracting and scalar
multiplication
Multiplying/Identity/Inverse
Quiz
Review solving systems of linear
equations by linear combination,
substitution and graphing including 3 x
3 systems
Solving a system with matrices
(include Augmented Matrices in 2H as time
allows)
AII.13
182-197
4.5-4.6
Cramer’s Rule
96-99
123-135
2.7,
3.3-3.4
Linear Programming
Unit Review and Test
Charlottesville City Schools
Revised August, 2005
Approx. Time
(in 45 min units)
Alg 2
Alg 2A Alg 2H
2
2
2
1
1
1
4
3
2
3
2
2
3
2
2
4
3
3
3
20
3
16
2
14
3
Algebra 2
V.
SOL
AII.03
Radical Functions
Page
Section
395-399
7.9
245-256
5.5-5.6
Topic
Radical Functions (inverse of
quadratics, etc.; domain, range,
intercepts)
Simplifying Radical Expressions
(includes operations with radical expressions)
AII.03
257-262
5.7
AII.07
263-269
5.8
AII.01
AII.17
270-275
5.9
VI.
Rational Exponents
Quiz
Radical Equations (both algebraically
and graphically)
Complex Numbers: Adding,
subtracting, multiplying, dividing,
properties
Unit Review and Test
Page
Section
AI.11
222-238
5.1-5.3
Topic
Operations with Polynomials
(Review exponent rules)
239-244
END OF 1ST SEMESTER
REVIEW AND EXAM (4)
5.4
Factoring Polynomials
(includes sum and difference of cubes)
AII.05
AII.09
AII.10
1
1
1
3
3
2
2
1
2
1
1
1
2
2
2
2
2
2
3
14
3
14
2
14
Polynomial Functions
SOL
AII.09
Approx. Time
(in 45 min units)
Alg 2
Alg 2A Alg 2H
286-300
239-244
301-305
Quiz
6.1-6.2 Quadratics: graphing (identifying the
vertex; intercepts; roots); different forms
of the equation (factored, vertex,
standard)
5.4, 6.3 Factoring Quadratics
Standard form to Factored Form
Solve by Factoring
END OF 1ST SEMESTER
REVIEW AND EXAM (4)
Charlottesville City Schools
Revised August, 2005
Approx. Time
(in 45 min units)
Alg 2
Alg 2A Alg 2H
2
2
1
10
N/A
N/A
3
3
2
1
1
1
1
1
1
4
4
3
N/A
8
N/A
4
Algebra 2
SOL
Page
Section
AII.09
306-312
322-328
6.4, 6.6
313-319
6.5
Topic
Completing the square
Standard form to vertex form
Solve by completing the square
Approx. Time
(in 45 min units)
Alg 2
Alg 2A Alg 2H
3
3
3
4
3
2
3
3
2
N/A
N/A
8
21*
20*
15*
(no ugly terms in 2 or 2A)
AII.06
AII.09
Quadratic Formula (include reviewing
square roots and discriminant)
Unit Review and Test
END OF 1ST SEMESTER
REVIEW AND EXAM (4)
*not including exam time
SOL
Page
Section
AII.15
353-359
7.2
AII.05
360-364
7.3
AII.10
AII.15
365-372
373-377
378-382
372-377
7.4-7.6
7.5
Topic
General Polynomial functions: types;
zeros, roots and intercepts; general
graphs
Solving by graphing using graphing
calculator
Solving by factoring: Difference and
Sum of Perfect Cubes; By grouping
Long and Synthetic Division; Rational
Root Thrm; Finding roots given 1 root
or no roots
Descartes Rule
Finite Differences
Unit Review and Test
VII.
Approx. Time
(in 45 min units)
Alg 2
Alg 2A Alg 2H
2
2
1
2
2
1
4
4
3
N/A
N/A
1
N/A
N/A
As time
allows
3
11
3
11
2
8
Rational Expressions and Functions
SOL
Page
Section
AII.20
482-498
9.4
AII.09
485-491
9.3
Topic
Direct, Inverse and Joint Variation
(including solving practical problems)
Introduction to Rational Functions
Charlottesville City Schools
Revised August, 2005
Approx. Time
(in 45 min units)
Alg 2
Alg 2A Alg 2H
2
2
1
2
2
2
5
Algebra 2
SOL
AII.02
Page
Section
472-478
9.1
AII.02
479-484
9.2
AII.02
475-478
481-484
505-512
9.1-9.2
AII.07
9.6
Topic
(graphs, asymptote lines; definition of
discontinuous; restrictions)
Quiz
Multiplying and Dividing Rational
Expressions; Simplifying rational
expressions
Adding and Subtracting Rational
Expressions
Complex Fractions
Solving Rational Equations
Unit Review and Test
Approx. Time
(in 45 min units)
Alg 2
Alg 2A Alg 2H
1
1
1
3
2
2
3
2
2
1
1
1
2
2
1
3
17
3
15
2
12
*not including SOL time
VIII.
Conic Sections
SOL
Page
Section
Topic
AII.18
419-425
449
452
8.2
8.6
Introduction to Conic Sections (slice the
cone);
Y-parabolas – graphing from vertex
form (putting in vertex form; geometric
Approx. Time
(in 45 min units)
Alg 2
Alg 2A Alg 2H
2
2
2
2
2
2
Quiz
Ellipses - graphing from vertex form
1
1
1
( putting in vertex form; geometric definition;
foci; major and minor axis; reflective
properties – in 2H)
2
2
2
1
1
1
2
2
2
definition, reflective properties, focus and
directrix – in 2H)
AII.18
419-425
453
8.2
X-parabolas – graphing from vertex
form (putting into vertex form; geometric
definition; focus and directrix – in 2H)
AII.18
AII.18
432-440
454
8.4
426-431
8.3
Circles – graphing from vertex form and
connection to the ellipse (putting in vertex
form; geometric definition; foci- in 2H)
AII.18
441-448
8.5
Hyperbola – graphing from vertex form.
Charlottesville City Schools
Revised August, 2005
6
Algebra 2
SOL
Page
Section
Topic
Approx. Time
(in 45 min units)
Alg 2
Alg 2A Alg 2H
(putting in vertex form; geometric definition;
foci; major and minor axis (transverse axis);
reflective properties – in 2H)
454
AII.18
449-452
8.6
AII.14
455-460
8.7
Quiz
Identifying conics – from graph and
equations; Applications of conics
Systems of Non-linear equations
1
1
1
1
1
1
2
2
2
Unit Review and Test
3
10
3
N/A
2
N/A
15
N/A
N/A
17*
17
16
SOL SIMULATION, REVIEW AND TESTING
END OF 2ND SEMESTER EXAM REVIEW AND TESTING
EXPEDITED RETEST REVIEW
*not including SOL testing or exams
IX.
SOL
Exponential and Logarithmic Functions
Page
Section
Topic
522-530
539-540
560-565
522-530
552-553
10.1
10.6
Introduction to Exponential Functions
(graphing; types – bases > 1; bases < 1;
undefined bases)
Solving exponential equations (missing
base; missing exponent – with
calculator; missing answer)
Quiz
10.1
SOL SIMULATION, REVIEW AND TESTING
531-538
10.2
Introduction to Logarithmic Functions:
547-551
10.4
Graphing (from the inverse perspective);
554-559
10.5
Rewriting exponentials in logarithmic
form; Special types – common and
natural
531-538
10.2
Solving with Logarithmic Functions
547-553
10.4
(rewriting with base 10 and base e logs)
554-559
10.5
541-546
10.3
Properties of Logs
Charlottesville City Schools
Revised August, 2005
Approx. Time
(in 45 min units)
Alg 2
Alg 2A Alg 2H
N/A
2
2
N/A
2
1
N/A
N/A
1
10
1
N/A
N/A
2
2
N/A
3
2
N/A
1
1
7
Algebra 2
SOL
Page
Section
560-565
10.6
Topic
Applications of Logs
Data Analysis with logs
Unit Review and Test
END OF 2ND SEMESTER EXAM REVIEW AND TESTING
EXPEDITED RETEST REVIEW
X.
SOL
Approx. Time
(in 45 min units)
Alg 2
Alg 2A Alg 2H
As time
N/A
2
allows
As time
N/A
2
allows
N/A
9
N/A
N/A
5*
13
Introduction to Trigonometry
Page
Section
701-708
709-724
13.1
13.213.3
13.3
13.6
Review of Right Triangle Trig
Introduction to the Unit Circle (radian
measure)
Special Trig Values (identifying trig
values for given angles)
13.7
Special Trig Values (identifying angles
for given trig values)
Quiz
Law of Cosines
Law of Sines (including ambiguous
case)
Unit Review and Test
700
717-724
739-745
700
746-751
733-738
725-732
13.5
13.4
Topic
SOL SIMULATION, REVIEW AND TESTING
*not including SOL testing
Charlottesville City Schools
Revised August, 2005
Approx. Time
(in 45 min units)
Alg 2
Alg 2A Alg 2H
N/A
N/A
1
N/A
N/A
1
N/A
N/A
2
N/A
N/A
2
N/A
N/A
N/A
N/A
N/A
N/A
1
2
3
N/A
N/A
N/A
N/A
N/A
N/A
2
10
14*
8
Algebra 2
The following unit to be completed as time permits
XI.
Trigonometric Identities and Functions
SOL
Page
Section
739-745
762-776
13.6
14.1
14.2
762-776
14.1
14.2
Topic
Trig Graphs (sine, cosine and tangent):
Domain, range, values, translations;
identify the equation for a graph; graph
for an equation; graph “by hand”
Applications of Trig Graphs (sunrisesunset; swing, ferris wheel)
END OF 2ND SEMESTER EXAM REVIEW AND TESTING
EXPEDITED RETEST REVIEW
762-776
14.1
Secant, Cosecant, and Cotangent Graphs
14.2
777-785
14.3
Basic Trig Identities
14.4
Quiz
799-804
14.7
Trig Equations (using identities;
solving and verifying using graphing
calculator)
Unit Review and Test
Charlottesville City Schools
Revised August, 2005
Approx. Time
(in 45 min units)
Alg 2
Alg 2A Alg 2H
N/A
N/A
2
N/A
N/A
2
N/A
N/A
6
N/A
N/A
N/A
N/A
As time
allows
4
N/A
N/A
N/A
N/A
1
3
N/A
N/A
N/A
N/A
3
11