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HONORS ALGEBRA III
Billings Public Schools Correlation and Pacing Guide Math - Pearson Prentice Hall
High School Math 2009
(Chapter Order: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11)
BILLINGS PUBLIC SCHOOLS Honors Algebra III– 2009
Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft
I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective
2
Suggested
Pacing
Student/Teacher
Edition Learning Objectives – 1
st Semester
Supporting Materials
Statistic Lesson 1 (Simple
Statistics and Statistical
Graphs)
(2 days)
Technology
• Use graphing technology to graph functions (D, E, A)
• Use graphing technology to perform matrix operations
and solve matrix equations (I, D, E, A)
• Use appropriate technology to evaluate measures
involving trigonometric ratios (D, E, A)
• Use technology to analyze and model data (I, D, E, A)
• Use technology to solve equations graphically (I, D, E)
• Understand appropriate use of and limitations of
technology (I, D)
Olympic Sports data can be
found on the internet
LM 1.7 from FST
(Geogebra sketch can be used to show the formula
geometrically)
Statistic Lesson 2 (Standard Deviation and
Variance)
(1 day)
Statistics
• Calculate numerical measures of variability (range,
variance, standard deviation) (I, D)
• Use statistics to analyze data sets (I, D)
Lesson 1.1 (2 days)
Geometry
• Use distance, midpoint, and slope formulas to solve
problems (A)
Algebra
• Apply properties of and graph functions (linear,
quadratic, polynomial, rational, exponential,
logarithmic, trigonometric, absolute value, step, and
piece-wise (I, D, E)
Technology
• Use graphing technology to graph functions (D, E, A)
• Determine the appropriate window on a graphing calculator for a given relation (A)
Chapter 1 –
Graphs
Approximately
9 days
Lesson 1.2 (1 day)
Geometry
• Test an equation for symmetry with respect to the x-
axis, y-axis, and origin (I, D, E, A)
Algebra
• Find intercepts (I, D, E, A)
BILLINGS PUBLIC SCHOOLS Honors Algebra III– 2009
Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft
I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective
3
Suggested
Pacing
Student/Teacher
Edition Learning Objectives – 1
st Semester
Supporting Materials
Lesson 1.3 (1 day)
Algebra
• Apply properties of and graph functions (linear,
quadratic, polynomial, rational, exponential,
logarithmic, trigonometric, absolute value, step, and
piece-wise (I, D, E)
Technology
• Use graphing technology to graph functions (D, E, A)
Lesson 1.4 (2 days)
Algebra
• Recognize and use the standard forms for functions (I,
D, E)
• Apply properties of and graph functions (linear,
quadratic, polynomial, rational, exponential,
logarithmic, trigonometric, absolute value, step, and piece-wise (I, D, E)
• Find the equation of a line given two of its characteristics
(points, slope, intercepts) and graph it (A)
• Find equations for parallel or perpendicular lines (A)
Lesson 1.5 (1 day)
Measurement
• Write the standard form of the equation of a circle and
graph the circle (D, E, A)
• Translate between standard and general forms of a circle (I, D, E, A)
Algebra
• Determine the equation, graph and characteristics of
quadratic relations (I, D, E)
Chapter 1 –
Graphs
continued
Tests/Quizzes (2 days)
BILLINGS PUBLIC SCHOOLS Honors Algebra III– 2009
Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft
I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective
4
Suggested
Pacing
Student/Teacher
Edition Learning Objectives – 1
st Semester
Supporting Materials
Lesson 2.1 (2 days)
Algebra
• Evaluate functions written in function notation (I, D, E,
A)
• Determine whether a relation is a function by table,
ordered pairs, or graph (A)
• Identify the domain of a function from an equation or a graph (D, E, A)
• Form the sum, difference, product, quotient, and
composite of two functions (I, D, E)
Lesson 2.2 (1 day)
Algebra
• Determine whether a relation is a function by table,
ordered pairs, or graph (A)
• Find intercepts (I, D, E, A)
Technology
• Use graphing technology to graph functions (D, E, A)
Lesson 2.3 (4 days)
Algebra
• Find the average rate of change of a function (I, D)
• Determine where a function is increasing, decreasing,
and constant answered in interval notation (I, D, E)
• Identify local and absolute extrema (D, E, A)
• Determine even and odd functions by graph or equation (I, D, E, A)
Extension Activity: Introduce derivative as the slope of the
tangent line (e.g. Average rate
of change vs. Instantaneous rate of change) Section 14.4
Chapter 2 –
Functions and
Their Graphs
Approximately
17 days
Lesson 2.4 (3 days)
Algebra
• Apply properties of and graph functions (linear,
quadratic, polynomial, rational, exponential,
logarithmic, trigonometric, absolute value, step, and
piece-wise (I, D, E)
• Recognize and graph families of functions (D, E, A)
Technology
• Use graphing technology to graph functions (D, E, A)
BILLINGS PUBLIC SCHOOLS Honors Algebra III– 2009
Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft
I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective
5
Suggested
Pacing
Student/Teacher
Edition Learning Objectives – 1
st Semester
Supporting Materials
Lesson 2.5 (3 days)
Geometry
• Define, graph, and determine values of the circular
trigonometric functions and their inverses by using
properties (D, E)
Algebra
• Determine the transformational effects of an equation
and its graph from its parent function (D, E, A)
• Recognize and graph families of functions (D, E, A)
Lesson 2.6 (1 day)
Algebra
• Translate verbal descriptions into mathematical
equations to solve problems (D, E)
Chapter 2 –
Functions and
Their Graphs
continued
Tests/Quizzes (3 day2)
BILLINGS PUBLIC SCHOOLS Honors Algebra III– 2009
Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft
I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective
6
Suggested
Pacing
Student/Teacher
Edition Learning Objectives – 1
st Semester
Supporting Materials
Lesson 3.1 (1 day)
Algebra
• Translate verbal descriptions into mathematical
equations to solve problems (D, E)
• Recognize patterns in linear, quadratic, power, or
exponential functions (I, D)
Lesson 3.2 (3 days)
Statistics
• Given a set of data, find equations of “good”, “better”,
and “best” fit (I, D, E, A)
• Find and interpret the correlation coefficient of a linear
relation (I, D, E, A)
Technology
• Use technology to analyze and model data (I, D, E, A)
• Understand appropriate use of and limitations of
technology (I, D)
Good Fit-Use 2 points from data set
Better Fit-Introduce Method
of Least Squares (applet available on internet)
Best Fit-Regression on
calculator and analyze r
Chapter 3 –
Linear and
Quadratic
Functions
Approximately
13 days
Lesson 3.3 (2 days)
Algebra
• Apply properties of and graph functions (linear,
quadratic, polynomial, rational, exponential,
logarithmic, trigonometric, absolute value, step, and
piece-wise (I, D, E)
• Determine the transformational effects of an equation
and its graph from its parent function (D, E, A)
• Complete the square to change standard form of a
quadratic equation to vertex form (I, D)
• Analyze linear, quadratic, polynomial, rational,
logarithmic, exponential, and trigonometric functions
and their graphs (I, D, E, A)
Review “Completing the
Square” prior to this lesson
BILLINGS PUBLIC SCHOOLS Honors Algebra III– 2009
Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft
I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective
7
Suggested
Pacing
Student/Teacher
Edition Learning Objectives – 1
st Semester
Supporting Materials
Lesson 3.4 (2 days)
Algebra
• Apply properties of and graph functions (linear,
quadratic, polynomial, rational, exponential,
logarithmic, trigonometric, absolute value, step, and
piece-wise (I, D, E)
• Analyze linear, quadratic, polynomial, rational,
logarithmic, exponential, and trigonometric functions and their graphs (I, D, E, A)
• Translate verbal descriptions into mathematical equations to solve problems (D, E)
Mathematics Teacher “A Problem from Japan” has
linear/quadratic models.
Allows for a day to collect
and model quadratic data.
Lesson 3.5 (2 days)
Algebra
• Solve simple and compound inequalities algebraically
(D, E, A)
Allows 1 day to review
factoring methods
Chapter 3 –
Linear and
Quadratic
Functions
continued
Tests/Quizzes (3 days)
BILLINGS PUBLIC SCHOOLS Honors Algebra III– 2009
Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft
I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective
8
Suggested
Pacing
Student/Teacher
Edition Learning Objectives – 1
st Semester
Supporting Materials
Lesson 4.1 (3 days)
Algebra
• Apply properties of and graph functions (linear,
quadratic, polynomial, rational, exponential,
logarithmic, trigonometric, absolute value, step, and
piece-wise (I, D, E)
• Determine the transformational effects of an equation
and its graph from its parent function (D, E, A)
• Analyze linear, quadratic, polynomial, rational,
logarithmic, exponential, and trigonometric functions
and their graphs (I, D, E, A)
• Determine where a function is increasing, decreasing,
and constant answered in interval notation (I, D, E)
Chapter 4 –
Polynomial and
Rational
Functions
Approximately
15 days Lesson 4.2 & 4.3 (4 days)
Algebra
• Apply properties of and graph functions (linear,
quadratic, polynomial, rational, exponential,
logarithmic, trigonometric, absolute value, step, and
piece-wise (I, D, E)
• Determine the transformational effects of an equation
and its graph from its parent function (D, E, A)
• Analyze linear, quadratic, polynomial, rational,
logarithmic, exponential, and trigonometric functions
and their graphs (I, D, E, A)
• Identify the domain of a function from an equation or a graph (D, E, A)
• Divide polynomials by long division and synthetic division (D, E, A)
Review synthetic/long division-sections A3, A4 in
Appendix A
BILLINGS PUBLIC SCHOOLS Honors Algebra III– 2009
Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft
I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective
9
Suggested
Pacing
Student/Teacher
Edition Learning Objectives – 1
st Semester
Supporting Materials
Lesson 4.4 (2 days)
Algebra
• Apply properties of and graph functions (linear,
quadratic, polynomial, rational, exponential,
logarithmic, trigonometric, absolute value, step, and
piece-wise (I, D, E)
• Apply properties to solve equations involving quadratic,
polynomial, radical, absolute, rational, exponential,
logarithmic, or trigonometric expressions algebraically
(D, E, A
• Solve simple and compound inequalities algebraically (D, E, A)
Lesson 4.5 (2 days)
Algebra
• Apply properties to solve equations involving quadratic,
polynomial, radical, absolute, rational, exponential,
logarithmic, or trigonometric expressions algebraically
(D, E, A)
• Apply the remainder and factor theorems for rational
functions (I, D, E)
• Find intercepts (I, D, E, A)
• Divide polynomials by long division and synthetic division (D, E, A)
Lesson 4.6 (1 day)
Algebra
• Apply properties to solve equations involving quadratic,
polynomial, radical, absolute, rational, exponential,
logarithmic, or trigonometric expressions algebraically (D, E, A)
• Apply the remainder and factor theorems for rational
functions (I, D, E)
• Divide polynomials by long division and synthetic division (D, E, A)
• Solve polynomials for complex roots (D, E, A)
Chapter 4 –
Polynomial and
Rational
Functions
continued
Tests/Quizzes (3 days)
BILLINGS PUBLIC SCHOOLS Honors Algebra III– 2009
Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft
I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective
10
Suggested
Pacing
Student/Teacher
Edition Learning Objectives – 1
st Semester
Supporting Materials
Lesson 5.1 (2 days)
Algebra
• Form the sum, difference, product, quotient, and
composite of two functions (I, D, E)
Consider introducing
composites with a numerical
approach (problems 7-10)
Lesson 5.2 (2 days)
Geometry • Recognize symmetrical properties of functions when
graphed (I, D)
• Determine the graph of an inverse function (I, D, E)
Algebra
• Identify the domain of a function from an equation or a graph (D, E, A)
• Identify the range of a function by graph (D, E, A)
• Find an inverse of a function (D, E, A)
Chapter 5 –
Exponential and
Logarithmic
Functions
Approximately
18 days
Lesson 5.3 (2 days)
Number Sense
• Demonstrate the meaning of rational and real-number
exponents (A)
Computation
• Perform the basic operations on expressions involving
fractions, mixed numbers, radicals, exponents,
logarithms, or matrices (D, E)
Measurement
• Graph functions using translations, scale changes, or reflections (D, E, A)
Algebra
• Apply properties of and graph functions (linear, quadratic,
polynomial, rational, exponential, logarithmic, trigonometric, absolute value, step, and piece-wise (I, D, E)
• Apply properties to solve equations involving quadratic, polynomial, radical, absolute, rational, exponential, logarithmic, or trigonometric expressions algebraically (D, E,
A)
• Recognize patterns in linear, quadratic, power, or exponential
functions (I, D)
Appendix A1-review rational
exponents
BILLINGS PUBLIC SCHOOLS Honors Algebra III– 2009
Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft
I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective
11
Suggested
Pacing
Student/Teacher
Edition Learning Objectives – 1
st Semester
Supporting Materials
Lesson 5.4 (2 days)
Computation
• Perform the basic operations on expressions involving
fractions, mixed numbers, radicals, exponents,
logarithms, or matrices (D, E)
Algebra
• Apply properties of and graph functions (linear,
quadratic, polynomial, rational, exponential,
logarithmic, trigonometric, absolute value, step, and piece-wise (I, D, E)
• Apply properties to solve equations involving quadratic,
polynomial, radical, absolute, rational, exponential,
logarithmic, or trigonometric expressions algebraically
(D, E, A)
• Change between exponential and logarithmic forms (E, A)
Lesson 5.5 (2 days)
Algebra
• Use properties of logarithms to rewrite expressions (I,
D, E, A)
Technology
• Calculate logarithms including change of base (I, D, E,
A)
May use a symbolic
manipulator to develop the
properties.
Chapter 5 –
Exponential and
Logarithmic
Functions
continued
Lesson 5.6 (1 day)
Algebra
• Apply properties to solve equations involving quadratic,
polynomial, radical, absolute, rational, exponential,
logarithmic, or trigonometric expressions algebraically
(D, E, A)
Technology
• Use technology to solve equations graphically (I, D, E)
BILLINGS PUBLIC SCHOOLS Honors Algebra III– 2009
Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft
I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective
12
Suggested
Pacing
Student/Teacher
Edition Learning Objectives – 1
st Semester
Supporting Materials
Lesson 5.7 (1 day)
Algebra
• Translate verbal descriptions into mathematical
equations to solve problems (D, E)
Lesson 5.8 (2 days)
Algebra
• Apply properties of and graph functions (linear,
quadratic, polynomial, rational, exponential,
logarithmic, trigonometric, absolute value, step, and piece-wise (I, D, E)
• Translate verbal descriptions into mathematical
equations to solve problems (D, E)
Lesson 5.9 (1 day)
Algebra
• Translate verbal descriptions into mathematical
equations to solve problems (D, E)
Chapter 5 –
Exponential and
Logarithmic
Functions
continued
Tests/Quizzes (3 days)
BILLINGS PUBLIC SCHOOLS Honors Algebra III– 2009
Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft
I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective
13
Suggested
Pacing
Student/Teacher
Edition Learning Objectives – 2
nd Semester
Supporting Materials
Lesson 6.1 (1 day)
Geometry
• Convert between DMS and decimal degree systems (I,
D, E, A)
• Convert between degree and radian measure (I, D, E)
Lesson 6.2 (2 days)
Mental Math
• Memorize exact values for sine, cosine, and tangent for
the unit circle, including quadrantal, and multiples of
30 o, 45
o, 60
o angles (D, E, A)
Geometry
• Define, graph, and determine values of the circular
trigonometric functions and their inverses by using
properties (D, E)
Assessment should include a
no-notes, no-calculator quiz
on exact values.
Lesson 6.3 (3 days)
Algebra
• Identify the range of a function by graph (D, E, A)
• Establish trigonometric identities (I, D, E)
1st Semester Final Exam
(2days)
Chapter 6 –
Trigonometric
Functions
Approximately
18 days
Lesson 6.4 (2 days)
Geometry
• Define, graph, and determine values of the circular
trigonometric functions and their inverses by using
properties (D, E)
• State the properties of the trigonometric functions and
their graphs (including domain, range and period) (I, D, E)
• Determine period, amplitude, phase shift, and vertical shift of sinusoidal functions (I, D, E, A)
Mathematics Teacher-“Time Out for Trig” is a good
introduction activity.
Geogebra can be used to model scale changes.
BILLINGS PUBLIC SCHOOLS Honors Algebra III– 2009
Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft
I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective
14
Suggested
Pacing
Student/Teacher
Edition Learning Objectives – 2
nd Semester
Supporting Materials
Lesson 6.5 (1 day)
Geometry
• Define, graph, and determine values of the circular
trigonometric functions and their inverses by using
properties (D, E)
• State the properties of the trigonometric functions and
their graphs (including domain, range and period) (I, D,
E)
• Determine period, amplitude, phase shift, and vertical
shift of sinusoidal functions (I, D, E, A)
Lesson 6.6 (4 days)
Geometry
• Determine period, amplitude, phase shift, and vertical
shift of sinusoidal functions (I, D, E, A)
Algebra
• Apply properties to solve equations involving quadratic,
polynomial, radical, absolute, rational, exponential,
logarithmic, or trigonometric expressions algebraically
(D, E, A)
Allows time for modeling
activities (Lights Out Activity
from Texas Instruments)
Chapter 6 –
Trigonometric
Functions
continued
Tests/Quizzes (3 days)
BILLINGS PUBLIC SCHOOLS Honors Algebra III– 2009
Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft
I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective
15
Suggested
Pacing
Student/Teacher
Edition Learning Objectives – 2
nd Semester
Supporting Materials
Lesson 7.1 (1 day)
Geometry
• Define, graph, and determine values of the circular
trigonometric functions and their inverses by using
properties (D, E)
Algebra
• Find an inverse of a function (D, E, A)
Technology
• Use appropriate technology to evaluate measures
involving trigonometric ratios (D, E, A)
Lesson 7.2 (1 day)
Geometry
• Define, graph, and determine values of the circular
trigonometric functions and their inverses by using
properties (D, E)
Algebra
• Find an inverse of a function (D, E, A)
Technology
• Use appropriate technology to evaluate measures involving trigonometric ratios (D, E, A)
Lesson 7.3 (3 days)
Algebra
• Establish trigonometric identities (I, D, E)
• Use trigonometric identities to find exact values and establish new identities (I, D, E, A)
Lesson 7.4 (3 days)
Algebra
• Establish trigonometric identities (I, D, E)
• Use trigonometric identities to find exact values and
establish new identities (I, D, E, A)
Chapter 7–
Analytic
Trigonometry
Approximately
16 days
Lesson 7.5 (2 days)
Algebra
• Establish trigonometric identities (I, D, E)
• Use trigonometric identities to find exact values and
establish new identities (I, D, E, A)
BILLINGS PUBLIC SCHOOLS Honors Algebra III– 2009
Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft
I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective
16
Suggested
Pacing
Student/Teacher
Edition Learning Objectives – 2
nd Semester
Supporting Materials
Lesson 7.6
SKIP
Lesson 7.7 (1 day)
Mental Math
• Memorize exact values for sine, cosine, and tangent for
the unit circle, including quadrantal, and multiples of 30
o, 45
o, 60
o angles (D, E, A)
Algebra
• Apply properties to solve equations involving quadratic,
polynomial, radical, absolute, rational, exponential,
logarithmic, or trigonometric expressions algebraically (D, E, A)
Technology
• Use appropriate technology to evaluate measures
involving trigonometric ratios (D, E, A)
• Use technology to solve equations graphically (I, D, E)
Lesson 7.8 (2 days)
Mental Math
• Memorize exact values for sine, cosine, and tangent for
the unit circle, including quadrantal, and multiples of
30 o, 45
o, 60
o angles (D, E, A)
Algebra
• Apply properties to solve equations involving quadratic,
polynomial, radical, absolute, rational, exponential,
logarithmic, or trigonometric expressions algebraically
(D, E, A)
Technology
• Use appropriate technology to evaluate measures
involving trigonometric ratios (D, E, A)
• Use technology to solve equations graphically (I, D, E)
Chapter 7–
Analytic
Trigonometry
continued
Tests/Quizzes (3 days)
BILLINGS PUBLIC SCHOOLS Honors Algebra III– 2009
Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft
I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective
17
Suggested
Pacing
Student/Teacher
Edition Learning Objectives – 2
nd Semester
Supporting Materials
Lesson 8.1 (1 day)
Measurement
• Graph functions using translations, scale changes, or reflections (D, E, A)
Algebra
• Translate verbal descriptions into mathematical equations to solve problems (D, E)
Lesson 8.2 (1 day)
Measurement
• Graph functions using translations, scale changes, or reflections (D, E, A)
Algebra
• Translate verbal descriptions into mathematical
equations to solve problems (D, E)
Lesson 8.3 (3 days)
Measurement
• Graph functions using translations, scale changes, or reflections (D, E, A)
Algebra
• Translate verbal descriptions into mathematical
equations to solve problems (D, E)
Technology
• Use appropriate technology to evaluate measures
involving trigonometric ratios (D, E, A)
Includes 2 days for
programming the laws and Trig Star examples.
Lesson 8.4 (1 day)
Measurement
• Find areas of triangles (D, E, A)
Lesson 8.5
SKIP
Chapter 8 –
Applications of
Trigonometric
Functions
Approximately
9 days
Tests/Quizzes (3 days)
BILLINGS PUBLIC SCHOOLS Honors Algebra III– 2009
Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft
I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective
18
Suggested
Pacing
Student/Teacher
Edition
Learning Objectives –2nd
Semester Supporting Materials
Lesson 9.1 (2 days)
Geometry
• Plot points using polar coordinates (I, D, E)
• Convert between polar and rectangular coordinates or equations (I, D, E)
Lesson 9.2 (5 days)
Geometry
• Plot points using polar coordinates (I, D, E)
• Convert between polar and rectangular coordinates or
equations (I, D, E)
• Graph polar equations (I, D, E)
• Determine characteristics of polar families (I, D)
• Graph polar equations of conics (I, D) Technology
• Use graphing technology to graph functions (D, E, A)
Extra days is for exploring
families
Lesson 9.3 (3 days)
Number Sense
• Identify and apply properties and operations for the
complex number systems (E, A)
Geometry
• Convert complex numbers between rectangular and polar
form (I, D)
Algebra
• Find products and quotients of complex numbers in polar
form (I, D)
• Find powers and roots of complex numbers using DeMoivre’s Theorem (I, D)
Lesson 9.4
Optional if Time Allows
Chapter 9 –
Polar
Coordinates;
Vectors
Approximately
13 days
Lesson 9.5
Optional if Time Allows
BILLINGS PUBLIC SCHOOLS Honors Algebra III– 2009
Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft
I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective
19
Suggested
Pacing
Student/Teacher
Edition
Learning Objectives –2nd
Semester Supporting Materials
Lesson 9.6
Optional if Time Allows
Lesson 9.7
Optional if Time Allows
Chapter 9 –
Polar
Coordinates;
Vectors
continued
Tests/Quizzes (3 days)
BILLINGS PUBLIC SCHOOLS Honors Algebra III– 2009
Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft
I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective
20
Suggested
Pacing
Student/Teacher
Edition
Learning Objectives –2nd
Semester Supporting Materials
Lesson 10.1 & 10.2 (3 days)
Geometry
• Determine the characteristics of a conic section given its
equation and graph (I, D, E)
• Find an equation of a parabola, ellipse, or hyperbola
given certain information about the conic section (I, D,
E)
• Identify a conic by its equation (I, D, E) Algebra
• Determine the equation, graph and characteristics of
quadratic relations (I, D, E)
• Analyze conic sections and apply translation properties (I, D, E)
Chapter 10 –
Analytic
Geometry
Approximately
20 days Lesson 10.3 (3 days)
Geometry
• Determine the characteristics of a conic section given its
equation and graph (I, D, E)
• Find an equation of a parabola, ellipse, or hyperbola
given certain information about the conic section (I, D,
E)
• Identify a conic by its equation (I, D, E) Algebra
• Determine the equation, graph and characteristics of
quadratic relations (I, D, E)
• Analyze conic sections and apply translation properties
(I, D, E)
BILLINGS PUBLIC SCHOOLS Honors Algebra III– 2009
Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft
I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective
21
Suggested
Pacing
Student/Teacher
Edition
Learning Objectives –2nd
Semester Supporting Materials
Lesson 10.4 (2 days)
Geometry
• Determine the characteristics of a conic section given its
equation and graph (I, D, E)
• Find an equation of a parabola, ellipse, or hyperbola
given certain information about the conic section (I, D,
E)
• Identify a conic by its equation (I, D, E) Algebra
• Determine the equation, graph and characteristics of
quadratic relations (I, D, E)
• Analyze conic sections and apply translation properties
(I, D, E)
Lesson 10.5 (2 days)
Measurement
• Use rotation formulas to transform second degree
equations so that no xy term is present (I, D)
Algebra
• Determine the equation, graph and characteristics of
quadratic relations (I, D, E)
• Analyze conic sections and apply translation properties
(I, D, E)
Lesson 10.6 (2 days)
Geometry
• Graph polar equations of conics (I, D)
• Find an equation of a parabola, ellipse, or hyperbola
given certain information about the conic section (I, D,
E)
• Identify a conic by its equation (I, D, E)
Lesson 10.7 (5 days)
Algebra
• Analyze motion in two dimensions using parametric
equations using tables, equations, graphs, and circular
trigonometric formulas (I,D)
May be done as a separate unit: SIMMS Level 4 Volume
3 “Fly the Sky With
Parametrics” (has good
examples of linear motion)
Chapter 10 –
Analytic
Geometry
continued
Tests/Quizzes (3 days)
BILLINGS PUBLIC SCHOOLS Honors Algebra III– 2009
Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft
I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective
22
Suggested
Pacing
Student/Teacher
Edition Learning Objectives – 2
nd Semester
Supporting Materials
Lesson 11.1 (2 days)
Algebra
• Solve systems of equations algebraically, with matrices,
with augmented matrices in echelon form, and with
Cramer’s Rule (I, D, E, A)
Lesson 11.2 (2 days)
Algebra
• Solve systems of equations algebraically, with matrices,
with augmented matrices in echelon form, and with Cramer’s Rule (I, D, E, A)
Lesson 11.3 (2 days)
Number Sense
• Identify and apply properties for matrices (D, E, A)
Computation
• Perform the basic operations on expressions involving
fractions, mixed numbers, radicals, exponents,
logarithms, or matrices (D, E)
Algebra
• Solve systems of equations algebraically, with matrices,
with augmented matrices in echelon form, and with
Cramer’s Rule (I, D, E, A)
Lesson 11.4 (3 days)
Number Sense
• Identify and apply properties for matrices (D, E, A)
Computation
• Perform the basic operations on expressions involving
fractions, mixed numbers, radicals, exponents,
logarithms, or matrices (D, E)
Algebra
• Solve systems of equations algebraically, with matrices,
with augmented matrices in echelon form, and with
Cramer’s Rule (I, D, E, A)
Chapter 11 –
Systems of
Equations and
Inequalities
Approximately
18 days
Lesson 11.5 (1 day)
Algebra
• Perform partial fraction decomposition (I, D)
BILLINGS PUBLIC SCHOOLS Honors Algebra III– 2009
Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft
I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective
23
Suggested
Pacing
Student/Teacher
Edition Learning Objectives – 2
nd Semester
Supporting Materials
Lesson 11.6 (1 day)
Algebra
• Solve systems of inequalities algebraically and
graphically (I, D, E, A)
Lesson 11.7 (1 day)
Algebra
• Solve systems of inequalities algebraically and
graphically (I, D, E, A)
Lesson 11.8 (3 days)
Algebra
• Graph and interpret linear programming problems (D,
E, A)
“Dirt Bike Dilemma” Texas
Instruments Activities Exchange
Chapter 11 –
Systems of
Equations and
Inequalities
continued
Tests/Quizzes (3 days)
BILLINGS PUBLIC SCHOOLS Honors Algebra III– 2009
Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft
I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective
24
Suggested
Pacing
Student/Teacher
Edition
Learning Objectives – 2nd
Semester Supporting Materials
Lesson 12.1
SKIP
Lesson 12.2
SKIP
Lesson 12.3
SKIP
Lesson 12.4 (2 days)
Optional if Time Allows
Algebra
• Perform partial fraction decomposition (I, D)
Lesson 12.5
SKIP
Chapter 12 –
Sequences;
Induction; the
Binomial
Theorem
Approximately
0 days
Tests/Quizzes
BILLINGS PUBLIC SCHOOLS Honors Algebra III– 2009
Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft
I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective
25
Suggested
Pacing
Student/Teacher
Edition
Learning Objectives – 2nd
Semester
Supporting Materials Lesson 13.1
SKIP
Lesson 13.2
SKIP
Lesson 13.3
SKIP
Chapter 13 –
Counting and
Probability
Approximately
0 days
Tests/Quizzes
BILLINGS PUBLIC SCHOOLS Honors Algebra III– 2009
Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft
I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective
26
Suggested
Pacing
Student/Teacher
Edition Learning Objectives – 2
nd Semester
Supporting Materials
Lesson 14.1
SKIP
Lesson 14.2
SKIP
Lesson 14.3
SKIP
Lesson 14.4
SKIP
Lesson 14.5
SKIP
Chapter 14 – A
Preview of
Calculus: The
Limit,
Derivative, and
Integral of a
Function
Approximately
0 days
Tests/Quizzes