Download algebra 2 / trigonometry

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ALGEBRA 2 / TRIGONOMETRY
Pacing Guide
FIRST SEMESTER; CHAPTERS 1 – 6, 8, 9, 11
Quarter 1: 48 days
Quarter 2: 42 days
Total teaching/admin. days available: 90
Total days scheduled: 80 (leaves 6 days for review/finals and 4 admin/float/enrichment/catch-up days)
SECTION
TOPICS
UNIT 1
CH. 1 FOUNDATIONS FOR FUNCTIONS
CSS
PACING
6 days
This should all be
review.
CH. 2 LINEAR FUNCTIONS
2-1
Solving Linear Equations and Inequalities
2-3
2-4
Graphing Linear Functions
Writing Linear Functions
1-5
Properties of Exponents
1-1
1-6
1-7
Sets of numbers
Relations and Functions
Functions Notation
2-9
Absolute Value Functions
1
Quest
1
3-1
3-2
3-3
(3-4)
(3-5)
3-6
UNIT 2
CH. 3 LINEAR SYSTEMS
Using Graphs and Tables to Solve Linear Systems
Using Algebraic Methods to Solve Linear Systems
Solving Systems of Linear Inequalities
(Linear Programming)
(Linear Equations in Three Dimensions)
Solving Linear Systems in Three Variables
1
Use worksheets
with challenging
problems on the
sections covered
but emphasize to
students that they
are responsible for
everything in the
2 chapters.
1
1
1
11
1
1
1
1
CH. 4 MATRICES
4-1
4-2
4-3
(4-4)
4-5
(4-6)
5-1
5-2
5-3
5-4
5-5
5-6
(5-7)
5-8
5-9
Matrices and Data
Multiplying Matrices
Using Matrices to Transform Geometric Figures
(Determinants and Cramer's Rule)
Matrix Inverses and Solving Systems
(Row Operations and Augmented Matrices)
1
2
1
Review and Test
2
CH. 5 QUADRATIC FUNCTIONS
14
2
1
2
1
1
1
1
1
1
Using Transformations to Graph Quadratic Functions
Properties of Quadratic Functions in Standard Form
Solving Quadr. Equations by Graphing and Factoring
Completing the Square
Complex Numbers and Roots
The Quadratic Formula
(Solving Quadratic Inequalities)
Curve-Fitting with Quadratic Models
Operations with Complex Numbers
NOTES
1
§4-3 can be a good
application lesson
but not necessary
to assess.
In §4-5, only teach
solving systems of
equations using
matrix equation
and inverses on TI.
In §5-1, the key
concept is
understanding vertex
form of quadr. eqn..
Complex numbers
are new concept.
In §5-8, the goal is
for students to write a
function from 3
points on parabola.
Extra review time
Holt
ALGEBRA 2 / TRIGONOMETRY
Pacing Guide
Review and Test
3
CH. 6 POLYNOMIAL FUNCTIONS
Polynomials
Multiplying Polynomials
Dividing Polynomials
Factoring Polynomials
Finding Real Roots of Polynomial Equations
Fundamental Theorem of Algebra
Investigating Graphs of Polynomial Functions
(Transforming Polynomial Functions)
(Curve-Fitting with Polynomial Models)
13
1
2
2
2
1
1
2
Review and Test
2
8-1
8-2
8-3
8-4
8-5
CH. 8 RATIONAL AND RADICAL FUNCTIONS
Variation Functions
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions
Rational Functions
Solving Rational Equations and Inequalities
16
1
1
1
3
2
8-6
8-7
8-8
Review and Test
Radical Expressions and Rational Exponents
Radical Functions
Solving Radical Equations and Inequalities
2
2
1
1
Review and Quest
2
10
(9-1)
9-2
(9-3)
9-4
CH. 9 PROPERTIES AND ATTRIBUTES OF
FUNCTIONS
(Multiple Representations of Functions)
Piecewise Functions
(Transforming Functions)
Operations with Functions
7-2
9-5
Inverses of Relations and Functions
Functions and Their Inverses
2
9-6
Modeling Real-World Data
2
Review and Test
2
CH. 11 PROBABILITY AND STATISTICS
Permutations and Combinations
Theoretical and Experimental Probability
Independent and Dependent Events
Compound Events
Measures of Central Tendency and Variation
(Binomial Distributions)
10
2
1
Review and Test
3
6-1
6-2
6-3
6-4
6-5
6-6
6-7
(6-8)
(6-9)
11-1
11-2
11-3
11-4
11-5
(11-6)
2
recommended (WS)
§6-2 includes
binomial expansions.
Discuss quadratic
forms solutions in
§6-4.
Supplement §6-7
with worksheet on
graphs.
§9-5 Do lots of
examples; emphasize
domain and range
2
3
1
§ 9-6 ??
.
Holt
ALGEBRA 2 / TRIGONOMETRY
Pacing Guide
SECOND SEMESTER; CHAPTERS 7, 10, 12 - 14
Quarter 3: 42 days available
Quarter 4: 48 days available (minus STAR)
Total teaching/admin. days available: 90 (minus STAR and possible furlough days)
Total days scheduled: 67 (leaves 12 float/enrichment/catch-up days + 6 days review/finals + 5 STAR days)
CH. 7 EXPONENTIAL AND LOGARITHMIC
FUNCTIONS
12
7-1
Exponential Functions, Growth and Decay
2
7-3
7-4
Logarithmic Functions
Properties of Logarithms
3
7-5
7-6
(7-7)
(7-8)
Exponential and Logarithmic Equations & Inequalities
The Natural Base, e
(Transforming Exponential and Logarithmic Functions)
(Curve-Fitting w/ Exponential & Logarithmic Models)
Review and Test
(10-1)
10-2
10-3
10-4
10-5
10-6
10-7
12-1
12-2
12-3
12-4
12-5
2
2
3
CH. 10 CONIC SECTIONS
15
(Introduction to Conic Sections)
Circles
Ellipses
Hyperbolas
Parabolas
Identifying Conic Sections
Solving Nonlinear Systems
1
3
3
2
2
1
Review and Test
3
CH. 12 SEQUENCES AND SERIES
Introduction to Sequences
Series and Summation Notation
Arithmetic Sequences and Series
Geometric Sequences and Series
Mathematical Induction and Infinite Geometric Series
11
1
1
2
2
2
Review and Test
3
The text is very weak
in §7-1. Take time to
go over different
growth & decay
models.
Emphasize basic log
graph, domain &
range.
Instead of 7-8, just
teach writing an exp.
fn. from 2 points.
WORKSHEETS!
Holt
ALGEBRA 2 / TRIGONOMETRY
Pacing Guide
13-2
13-3
14-1
14-2
13-1
13-4
13-5
13-6
14-3
14-4
14-5
14-6
TRIGONOMETRIC FUNCTIONS A
Angles of Rotation
The Unit Circle
Graphs of Sine and Cosine
Graphs of Other Trigonometric Functions
10
1
3
2
2
Review and Test (no calculators)
3
TRIGONOMETRIC FUNCTIONS B
Right-Angle Trigonometry
Inverses of Trigonometric Functions
The Law of Sines
The Law of Cosines
Trig Applications
9
1
Review and Test
2
TRIGONOMETRIC FUNCTIONS C
Fundamental Trigonometric Identities
Sum and Difference Identities
Double-Angle and Half-Angle Identities
Solving Trigonometric Equations
10
3
1
1
2
Review and Test
3
2
2
2
Time permitting, add
a "trig pack"-type
application
worksheet that can
take 3 days.