birmingham city schools · birmingham city schools precalculus pacing guide revised july 2013 page...

Birmingham City Schools

PRECALCULUS

PACING GUIDE

Revised July 2013

DAY/ NUMBER

LESSON PLAN

Alabama Course Of

Study Objectives

Additional Resources Date

1 Classroom rules and regulations Pre-Assessment

8/19

2 Review Pre-Assessment 8/20

3/4 P.1 Real Numbers P.2 Cartesian Coordinate System

ACOS #15 [F-TF8]

OPTIONAL

8/21-8/22

5 P.3 Linear Equations and Inequalities OPTIONAL 8/23

6 P.4 Lines in the Plane OPTIONAL 8/26

7 P.5 Solving Equations Graphically, Numerically, and Algebraically

OPTIONAL 8/27

8/9 Assessment P.1 – P.4 OPTIONAL 8/28-8/29

10 P.6 Complex Numbers OPTIONAL 8/30

Labor Day (NO SCHOOL) – 9/2

11 P.7 Solving Inequalities Algebraically and Graphically

[F-IF7C] GIZMO-Polynomials and Linear Factors

9/3

12/13

P.7 Solving Inequalities Algebraically and Graphically (cont.) (Stress Functional Notation i.e. brackets [ ],

parentheses ( ), infinity )

LTF Activity: Introducing Interval Notation

[F-IF7C] 9/4-9/5

14 Assessment P.1 – P.7 OPTIONAL

*Assign Class Project from Chapter 1: Modeling the Growth of a Business p. 156

9/6

15 1.1 Modeling and Equation Solving

*Assign Class Project

from Chapter 1: Modeling the Growth of a

Business p. 156

9/9

16 1.1 Modeling and Equation Solving (cont.) 9/10

17/18

1.2 Functions and Their Properties

LTF Activity: Describing Graphs (Analysis of Functions)

[F-IF4], [F-1F7d]

9/11-9/12


PRECALCULUS

PACING GUIDE

Revised July 2013

DAY/ NUMBER

LESSON PLAN

Alabama Course Of

Study Objectives


19 1.3 Twelve Basic Functions

[F-IF7] 9/13

20 1.3 Twelve Basic Functions (cont.)

AHSGE Testing (Seniors Only) [F-IF7] 9/16

21 LTF Activity: A Generic Function and Piecewise Functions

AHSGE Testing (Seniors Only) 9/17

22/23 Assessment: Sections 1.1-1.3

AHSGE Testing (Seniors Only)

9/18-9/19

24 1.4 Building Functions from Functions

AHSGE Testing (Seniors Only) [F-BF1c] 9/20

25 1.4 Building Functions from Functions(cont.)

[F-BF1c] 9/23

26 1.5 Parametric Relations and Inverses Review of Basic Graphs and Transformations

ACOS #20 ACOS #21, [F-BF4c]

9/24

27/28

1.5 Parametric Relations and Inverses (cont.) LTF Activity: Parametric Equations

ACOS #20 ACOS #21, [F-BF4c]

9/25-9/26

29 1.6 Graphical Transformations Review of Basic Graphs and Transformations

9/27

30

1.7 Modeling with Functions Stress Application of Domain and Range& the use of Technology

[F-BF4d], [S-ID8]

9/30

31

1.4 – 1.7 Review Chapter Project Due “Modeling the Growth of a Business”

10/1

32/33 Chapter Assessment 1.1 – 1.7 LTF Activities and Graphs

10/2-10/3

34 2.1 Linear and Quadratic Functions and Modeling

[F-IF6] 10/4

35

2.1 Linear and Quadratic Functions and Modeling(cont.) LTF Activity: Average Rate of Change

[F-IF6] 10/7


PRECALCULUS

PACING GUIDE

Revised July 2013

DAY/ NUMBER

LESSON PLAN

Alabama Course Of

Study Objectives


36 2.2 Power Functions with Modeling Computer Web Activity: “Analyzing Graphs”

District Benchmark Testing [F-IF7] 10/8

37/38 2.3 Polynomial Functions of Higher Degree with Modeling

10/9-10/10

39 Assessment: Sections 2.1-2.3 10/11

40 3.1 Exponential and Logistic Functions ACOS #26,

[F-BF5]

GIZMO-Function Machines 3 (Functions and Problem Solving)

10/14

41 9 Weeks Assessment Review: P.1 - 3.1 10/15

42/43 1st 9 Weeks Assessment Chapters 1-3 10/16-10/17

44 3.1 Exponential and Logistic Functions (cont.)

End of 1st 9 Weeks

ACOS #26, [F-BF5]

10/18

45 PLAN TESTING (TBD) 10/21

46 3.2 Exponential and Logistic Modeling ACOS #26,

[F-BF5] 10/22

47/48

3.2 Exponential and Logistic Modeling (cont.) 3.3 Logarithmic Functions and Their Graphs

ACOS #26, [F-BF5]

10/23-10/24

Teacher Work Day (NO STUDENTS) - 10/25

49 3.3 Logarithmic Functions and Their Graphs (cont.)

ACOS #26, [F-BF5]

http://illuminations.nctm.org/LessonDetail.aspx?id=L817 Logarithms Demystified

10/28

50 3.4 Properties of Logarithmic Functions

Early Dismissal 10/29

51/52 2.4 Real Zeros of Polynomial Functions

Report Cards Go Home [F-1F7d]

*Assign Class Project from Chapter 2:

Modeling the Height of a Bouncing Ball p. 250

10/30-10/31

53 2.5 Complex Zeros and the Fundamental Theorem of Algebra

10/30-11/1

http://illuminations.nctm.org/LessonDetail.aspx?id=L817




PRECALCULUS

PACING GUIDE

Revised July 2013

DAY/ NUMBER

LESSON PLAN

Alabama Course Of

Study Objectives


54

A.3 Fractional Expressions (Domain of an Algebraic Expressions, Operations with Rational Expressions, Compound Rational Expressions)

11/2

55 2.6 Graphs of Rational Functions [F-1F7d] GIZMO-General Form of a Rational Function

11/5

56/57

2.6 Graphs of Rational Functions (cont’d)

2.7 Solving Equations in One Variable

[F-1F7d]


Analyzing a Bouncing Ball & Collecting the Data

p. 318

11/6

58 LTF Activity: Rational Equations 11/7-8

Veteran’s Day (NO SCHOOL) - 11/11

59 2.8 Solving Inequalities in One Variable 11/12

60/61

2.8 Solving Inequalities in One Variable (cont’d) Review 3.2-3.4, 2.4-2.8

11/13-11/14

62 Assessment: Sections 3.4, 2.4-2.8 11/15

63 Assessment: Sections 3.2-3.4, 2.4-2.8 11/18

64 3.5 Equation Solving and Modeling

2nd 9-Weeks Midpoint ACOS #24 11/19

65/66 LTF Activity: Newton’s Law of Cooling 3.6 Mathematics of Finance

11/20-11/21

67 3.6 Mathematics of Finance (cont’d) 11/22

68 LTF Activity: Exponential & Logarithmic Growth

11/25

69

7.1 Solving Systems of Two Equations

[A-RE18]

*Assign Class Project from Chapter 7: “Male and

Female Population Data” p. 577

11/26

Thanksgiving Holidays (NO SCHOOL) - 11/27 to 11/29


PRECALCULUS

PACING GUIDE

Revised July 2013

DAY/ NUMBER

LESSON PLAN

Alabama Course Of

Study Objectives


70 Chapter Assessment: Sections 3.5-3.6


*Assign Class Project from Chapter 7: “Male and Female Population

Data” p. 577

12/2

71

7.2 Matrix Algebra AHSGE Testing (Seniors Only) [N-VM12] 12/3

72/73

7.2 Matrix Algebra 7.3 Multivariate Linear Systems and Row Operations


[N-VM11], [N-VM12]

12/4-12/5

74 7.3 Multivariate Linear Systems and Row Operations (cont.)


[N-VM11], [N-VM12]

12/6


76 7.4 Partial Fractions

District Benchmark Testing 12/10

77/78 7.4 Partial Fractions Cumulative Review

12/11-12/12

79 Cumulative Review 12/13

80 Semester Exams – 1st, 3rd, 5th 12/16

81 Semester Exams – 2nd, 4th, 6th 12/17

82/83 12/18: Semester Exam – 7th, Make-up 12/18-12/19

84 End of 2nd 9 Weeks 12/20

Christmas Holidays (NO SCHOOL) – 12/23/13 to 1/3/14

85 4.1 Angles and Their Measure

Exploration Activity #1 “Constructing a 1-Radian

Angle” 1/6

86 4.1 Angles and Their Measure

Exploration Activity #1 “Constructing a 1-Radian

Angle” 1/7


PRECALCULUS

PACING GUIDE

Revised July 2013

DAY/ NUMBER

LESSON PLAN

Alabama Course Of

Study Objectives


87/88 4.2 Trigonometric Functions of Acute Angles

Report Cards Go Home

GIZMO-Sine and Cosine Ratios - Activity A

1/8-1/9

89

4.2 Trigonometric Functions of Acute Angles

1/10

90 4.3 Trigonometry Extended: The Circular Functions

[F-TF3], [F-TF4]

Exploration 2: “Exploring the Unit Circle”

GIZMO-Cosine Function

1/13

91 4.3 Trigonometry Extended: The Circular Functions (cont’d)

[F-TF3], [F-TF4]


Modeling the Motion of a Pendulum p. 402

1/14

92/93 4.4 Graphs of Sine and Cosine Sinusoids ACOS #26,

[F-TF6]


Modeling the Motion of a Pendulum p. 402

1/15-1/16

94 4.5 Graphs of Tangent, Cotangent, Secant, and Cosecant

ACOS #26, [F-TF6]


5 Graphs from the Unit Circle

1/17

Martin Luther King, Jr. Holiday (NO SCHOOL) - 1/20

95 4.5 Graphs of Tangent, Cotangent, Secant, and Cosecant (cont’d)

ACOS #27, [F-TF6]

1/21

96/97

Assessment - LTF Activity (Teacher’s Choice):

1. Window Pane Graphing of Trigonometric Functions

2. Analyzing Trigonometric Functions Using Graphical Displays

1/22-1/23

98 4.6 Graphs of Composite Trigonometric Functions

[F-TF7] Class Activity: “The Unit Circle Project”

1/24

99 4.6 Graphs of Composite Trigonometric Functions (cont’d)

[F-TF7] Class Activity: “The Unit Circle Project”

1/27





PRECALCULUS

PACING GUIDE

Revised July 2013

DAY/ NUMBER

LESSON PLAN

Alabama Course Of

Study Objectives


100 4.7 Inverse Trigonometric Functions (Don’t discuss inverses graphically)

[F-TF6] 1/28

101/102 4.7 Inverse Trigonometric Functions (cont.) (Don’t discuss inverses graphically)

[F-TF6] 1/29-1/30

103 4.8 Solving Problems with Trigonometry 1/31

104 4.8 Solving Problems with Trigonometry (cont’d)

2/3

105 Assessment: Sections 4.6-4.8

*Class Project from

Chapter 4: Due 2/4

106/107 5.1 Fundamental Identities


Modeling the Illumination of the Moon p. 454

2/5-2/6

108 5.2 Proving Trigonometric Identities [F-TF8]

GIZMO- Simplifying Trigonometric Expressions

2/7

109 5.2 Proving Trigonometric Identities (cont’d)

3rd 9-Weeks Midpoint [F-TF8] 2/10

110

5.3 Sum and Difference Identities ACOS #27 ACOS #30,

[F-TF9]

GIZMO-Sum and Difference Identities for Sine and Cosine

2/11

111/112 5.4 Multiple Angle Identities ACOS #27

2/12-2/13

Day 113: District-wide Professional Development / E-Day (NO STUDENTS) - 2/14 President’s Day (NO SCHOOL) – 2/17

114 Assessment: Sections 5.1-5.4

Progress Reports Go Home 2/18

115/116 5.5 The Law of Sines (cont’d) 5.6 The Law of Cosines

[G-SRT9] *Class Project from Chapter 5: Due

2/19-2/20

117 5.6 The Law of Cosines (cont’d) [G-SRT9] 2/21

118 Assessment: Chapter 5 2/24


PRECALCULUS

PACING GUIDE

Revised July 2013

DAY/ NUMBER

LESSON PLAN

Alabama Course Of

Study Objectives


119

6.1 Vectors in the Plane [N-VM1], [N-VM2], [N-VM3], [N-VM4], [N-VM5]

GIZMO-Adding Vectors

2/25

120/121

6.2 Dot Product of Vectors LTF Activity: Motion Defined Parametrically

[N-VM1], [[N-VM3], [N-VM4], [N-VM5]

2/26-2/27

122 6.3 Parametric Equations and Motion LTF Activity: Slopes of Curves

ACOS #26, #28

2/28

123 6.4 Polar Coordinates [N-CN4] GIZMO-Points in Polar Coorinates

3/3

124

Assessment: Sections 6.1-6.4 6.5 Graphs of Polar Equations

District Benchmark Testing

[N-VM4], [F-TF4]

3/4

128/126

6.5 Graphs of Polar Equations (cont’d) LTF Activity: Graphing Polar Equations, Special Points on Polar Curves, and Intersections of Two Polar Curves

[N-VM4], [F-TF4]

3/5-3/6

127

6.6 De Moivre’s Theorem and nth Roots

[N-CN4], [N-CN5], [N-CN6]

GIZMO-Points in the Complex Plane - Activity A

3/7

128 6.6 De Moivre’s Theorem and nth Roots (cont’d)


[N-CN4], [N-CN5], [N-CN6]

GIZMO-Distance Formula - Activity A

3/10

129 Assessment: Chapter 6

AHSGE Testing (Seniors Only) 3/11

130/131 AHSGE Testing (Seniors Only) 3/12-3/13

132

3rd 9 Weeks Assessment Chapters AHSGE Testing (Seniors Only)

End of 3rd 9 Weeks

3/14


PRECALCULUS

PACING GUIDE

Revised July 2013

DAY/ NUMBER

LESSON PLAN

Alabama Course Of

Study Objectives


133 8.1 Conic Sections and Parabolas

ACOS #15, [G-GPE2], [G-GPE3]

GIZMO-Parabolas - Activity A

3/17

134/135

8.2 Ellipses Exploration 1: Graphing an Ellipse Using Its Parametric Equations p.595

LTF Activity Module 2: “Cone Exploration and Optimization”

ACOS #15, [G-GPE3]

GIZMO-Ellipse - Activity A

3/18

136

8.3 Hyperbola ACOS #15, [G-GPE3]

QIZMO-Hyperbola - Activity A

3/19-3/20

137 8.4 Translations and Rotation of Axes Assessment: Sections 8.1-8.3

3/21

Spring Break (NO SCHOOL) – 3/24 to 3/28

138 8.5 Polar Equations of Conics

Report Cards Go Home ACOS #15

3/31

139 8.5 Polar Equations of Conics (cont’d) ACOS #15 4/1

140/141 8.6 Three-Dimensional Cartesian Coordinate System

[G-GMD2] 4/2-4/3


143 9.1 Basic Combinatorics 4/7

144

9.2 The Binomial Theorem Exploration 1: “Exploring the Binomial Coefficient” p 652 *Do Exploration Problems

[A-APR5] 4/8

145/146

9.2 The Binomial Theorem (cont’d) LTF Activity: “Binomial Theorem”

[A-APR5] 4/9-4/10


PRECALCULUS

PACING GUIDE

Revised July 2013

DAY/ NUMBER

LESSON PLAN

Alabama Course Of

Study Objectives


147

9.3 Probability Exploration 1: “Testing Positive for HIV” p 664 *Do Exploration Problems

[S-MD1], [S-MD2], [S-MD3], [S-MD4], [S-MD5], [S-IC2]

GIZMO-Histograms Scatter Plots - Activity A Mean, Median and Mode Theoretical and Experimental Probability Geometric Probability - Activity A Probability Simulations Binomial Probabilities

4/11

148 9.3 Probability (cont.) 4/14


150/151 17th : High School Mathematics

Tournament

4/16-4/17

152 Early Dismissal Day 4/18

153 9.4 Sequences

ACOS #5, #31

4/21

154 9.5 Series ACOS #5,

#31 [A-SSE4]

4/22

155/156

9.5 Series (cont.) Computer Web Activity: “Series and Sequences”

4th 9-Weeks Midpoint

ACOS #5, #31

[A-SSE4]

4/23-4/24

157 9.6 Mathematical Induction 4/25


159 9.7 Statistics and Data (Graphical)

4/29

160/161 9.8 Statistics and Data (Algebraic) LTF Activity: Curvilinear Data-Activity 2

Progress Reports Go Home

[S-ID2], [S-ID3], [S-ID4], [S-IC1], [S-ID9]

Assign: “Statistical Project Based Activities

4/30-5/1


PRECALCULUS

PACING GUIDE

Revised July 2013

DAY/ NUMBER

LESSON PLAN

Alabama Course Of

Study Objectives


162 9.8 Statistics and Data (Algebraic) (cont’d) Exploration 1: Interpreting Histograms p 708

[S-ID2], [S-ID3], [S-ID4], [S-IC1], [S-ID9]

*Class Project from Chapter 9: Due

5/2

163 9.9 Statistical Literacy

[S-IC1], [S-IC2], [S-IC3], [S-IC3], [S-IC5]

5/5


165/166

10.1 Limits and Motion: The Tangent Problem

ACOS #4 5/7-5/8

167 LTF Activity: Slopes of Secants Lines and Limits

5/9

168 10.2 Limits and Motion: The Area Problem

ACOS #4 5/12

169

10.2 Limits and Motion: The Area Problem (cont’d)

ACOS #4 5/13

170/171 Assessment: Sections 10.1-10.2

5/14-5/15

172 10.3 More on Limits ACOS #4 LTF Activity: Logistic and Gompertz Curves

5/16

173 10.3 More on Limits (cont.) ACOS #4 5/19

174 10.4 Numerical Derivatives and Integrals GIZMO-Reimann Sum (Extension)

5/20

175/176 22nd: Semester Exams – 1st, 3rd, 5th 5/21-5/22

177 Semester Exams – 2nd, 4th, 6th 5/23


PRECALCULUS

PACING GUIDE

Revised July 2013

DAY/ NUMBER

LESSON PLAN

Alabama Course Of

Study Objectives


Memorial Day (NO SCHOOL) – 5/26

178 12/18: Semester Exam – 7th, Make-up 5/27

179/180 29th: End of 3rd 9 Weeks Report Cards Go Home

5/28-5/29

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