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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)

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Page 1: Honors Algebra III pacing-June 2009 Guide... · Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft I - Introduce the learning objective, D – Develop

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)

Page 2: Honors Algebra III pacing-June 2009 Guide... · Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft I - Introduce the learning objective, D – Develop

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)

Page 3: Honors Algebra III pacing-June 2009 Guide... · Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft I - Introduce the learning objective, D – Develop

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)

Page 4: Honors Algebra III pacing-June 2009 Guide... · Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft I - Introduce the learning objective, D – Develop

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)

Page 5: Honors Algebra III pacing-June 2009 Guide... · Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft I - Introduce the learning objective, D – Develop

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)

Page 6: Honors Algebra III pacing-June 2009 Guide... · Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft I - Introduce the learning objective, D – Develop

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

Page 7: Honors Algebra III pacing-June 2009 Guide... · Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft I - Introduce the learning objective, D – Develop

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)

Page 8: Honors Algebra III pacing-June 2009 Guide... · Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft I - Introduce the learning objective, D – Develop

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

Page 9: Honors Algebra III pacing-June 2009 Guide... · Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft I - Introduce the learning objective, D – Develop

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)

Page 10: Honors Algebra III pacing-June 2009 Guide... · Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft I - Introduce the learning objective, D – Develop

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

Page 11: Honors Algebra III pacing-June 2009 Guide... · Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft I - Introduce the learning objective, D – Develop

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)

Page 12: Honors Algebra III pacing-June 2009 Guide... · Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft I - Introduce the learning objective, D – Develop

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)

Page 13: Honors Algebra III pacing-June 2009 Guide... · Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft I - Introduce the learning objective, D – Develop

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.

Page 14: Honors Algebra III pacing-June 2009 Guide... · Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft I - Introduce the learning objective, D – Develop

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)

Page 15: Honors Algebra III pacing-June 2009 Guide... · Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft I - Introduce the learning objective, D – Develop

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)

Page 16: Honors Algebra III pacing-June 2009 Guide... · Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft I - Introduce the learning objective, D – Develop

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)

Page 17: Honors Algebra III pacing-June 2009 Guide... · Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft I - Introduce the learning objective, D – Develop

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)

Page 18: Honors Algebra III pacing-June 2009 Guide... · Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft I - Introduce the learning objective, D – Develop

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

Page 19: Honors Algebra III pacing-June 2009 Guide... · Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft I - Introduce the learning objective, D – Develop

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)

Page 20: Honors Algebra III pacing-June 2009 Guide... · Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft I - Introduce the learning objective, D – Develop

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)

Page 21: Honors Algebra III pacing-June 2009 Guide... · Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft I - Introduce the learning objective, D – Develop

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)

Page 22: Honors Algebra III pacing-June 2009 Guide... · Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft I - Introduce the learning objective, D – Develop

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)

Page 23: Honors Algebra III pacing-June 2009 Guide... · Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft I - Introduce the learning objective, D – Develop

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)

Page 24: Honors Algebra III pacing-June 2009 Guide... · Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft I - Introduce the learning objective, D – Develop

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

Page 25: Honors Algebra III pacing-June 2009 Guide... · Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft I - Introduce the learning objective, D – Develop

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

Page 26: Honors Algebra III pacing-June 2009 Guide... · Precalculus: Enhanced with Graphing Utilities 5E 2009 Correlation/Pacing Draft I - Introduce the learning objective, D – Develop

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