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$: Birmingham City Schools - PC\|MACimages.pcmac.org/Uploads/BirminghamCitySchools...1 Day/Number Optional Activities STUDY ALABAMA LESSON PLAN COURSE OF OBJECTIVES AHSGE OBJECTIVES 1$
Birmingham City Schools

Pre-AP ALGEBRA I

PACING GUIDE

Review / Discuss Daily: Homework & AHSGE Activities Reference Materials: AHSGE Item Specification Booklet , ENRICHMENT PLUS, Pathways, Algeblocks (AB Labs), Laying the

Foundation (LTF) Algebra I Pacing Guide Revised June 2011

1

Day/Number

LESSON PLAN

Optional Activities

ALABAMA COURSE OF

STUDY OBJECTIVES

AHSGE OBJECTIVES

1

Classroom Rules &

Regulations

Course Curriculum

2

Pre-Assessment

3

Alabama Graduation

Diagnostic Assessment

4

Alabama Graduation

Diagnostic Assessment

5

Pathways: C-102 -104, C-108 -

109

Define complementary,

supplementary, vertical and

adjacent angles

Relationships among the

measures of angles formed

by two parallel lines

VII-1


Pre-AP ALGEBRA I

PACING GUIDE



2

Day/Number

LESSON PLAN

Optional Activities

ALABAMA COURSE OF

STUDY OBJECTIVES

AHSGE OBJECTIVES

6 & 7

2.8 Exploring Data:

Probability and Odds

Predict outcomes for

simple events given the

probability

Estimate probabilities

given experimental data or

graphs

Find probabilities given

graphs or tables

Appendix 2 (p.833-838)

Predict outcomes of compound

events given the probabilities

15

VII-6, VII-8

8

LTF M6 “THE JURY”

15

VII-6, VII-8

9

6.6 Exploring Data: Stem –

Leaf Plots

12, 13

VII-5, VII-8

10

6.7 Box - and – Whisker Plot

Appendix 1 (p. 827-832)

12, 13

VII-5, VII-8


Pre-AP ALGEBRA I

PACING GUIDE



3

Day/Number

LESSON PLAN

Optional Activities

ALABAMA COURSE OF

STUDY OBJECTIVES

AHSGE OBJECTIVES

11 & 12

6.6 Measures of Central

Tendency

Mean, median, mode and

range

Interpret data from

frequency tables and

graphs

Pathways: C –128, C-129, C-

130

13

LTF – M4

“Use Line Plots to Determine

Mean, Median, Mode, &

Range”

14

LTF – M4

“Analyzing Mean, Median,

Mode, & Range”

15

ASSESSMENT: Pathways,

2.8, Appendix 1, Appendix 2,

6.6, 6.7

16

Skills Review Handbook

(p.790-791)

Perimeter, area, surface

area and volume of

geometric figures

17 Skills Review Handbook

(p.790-791)

Circumference and area

of a circle


Pre-AP ALGEBRA I

PACING GUIDE



4

Day/Number

LESSON PLAN

Optional Activities

ALABAMA COURSE OF

STUDY OBJECTIVES

AHSGE OBJECTIVES

18

1.1 Variables in Algebra

Emphasis on the

vocabulary of mathematics

Introduce variables

Evaluation

AB Labs 1.1-1.8,

5.6-5.7

1, 11

I-1, IV-1,

VI-1, VII-8

19

1.2 Exponents and Powers

REVIEW

AB Labs 1.1-1.8,

5.6-5.7

1, 11

I-1, IV-1,

VI-1, VII-8

20

Midterm Exam Scheduled

21

1.3 Order of operation

Grouping symbols

Evaluation

1

I-1, VI-1

22

1.4 Equations and Inequalities

Using mental math to

solve equations

Checking solutions to

inequalities

AB Labs 10.1, 10.3

7

VI-1, VII-8

23

1.4 Equations and Inequalities

Using mental math to

solve equations

Checking solutions to

inequalities

AB Labs 10.1, 10.3

7

VI-1, VII-8


Pre-AP ALGEBRA I

PACING GUIDE



5

Day/Number

LESSON PLAN

Optional Activities

ALABAMA COURSE OF

STUDY OBJECTIVES

AHSGE OBJECTIVES

24 & 25

1.5 Problem Solving Using

Models

1st Nine Weeks – Midpoint PROGRESS REPORT

GOES HOME

26

1.6 Tables and Graphs

Organize data

Interpret graphs

2, 3, 12, 13

III-1, III-2,

VII-8

27

1.7 An Introduction to

Functions

Domain and Range

AHSGE

2, 3, 12, 13

III-1, III-2,

VII-8

28

1.7 An Introduction to

Functions

Domain and Range

AHSGE

2, 3, 12, 13

III-1, III-2,

VII-8

29 & 30

LTF – M7 “READING THE

GRAPH

AHSGE

2, 3, 12, 13

III-1, III-2,

VII-8

31

ASSESSMENT: 1.1-1.7

AHSGE


Pre-AP ALGEBRA I

PACING GUIDE



6

Day/Number

LESSON PLAN

Optional Activities

ALABAMA COURSE OF

STUDY OBJECTIVES

AHSGE OBJECTIVES

32

2.1 The Real Number Line

Introduce real number

system

Graph, order and

compare real numbers

Introduce opposite,

absolute value,

reciprocal (use whole

numbers, decimals and

fractions)

Fall AHSGE

AB Labs 2.1 – 2.5

1, 7

I-1, VII-8

33

2.1 The Real Number Line

Introduce real number

system

Graph, order and

compare real numbers

Introduce opposite,

absolute value,

reciprocal (use whole

numbers, decimals and

fractions)

Fall AHSGE

AB Labs 2.1 – 2.5

1, 7

I-1, VII-8


Pre-AP ALGEBRA I

PACING GUIDE



7

Day/Number

LESSON PLAN

Optional Activities

ALABAMA COURSE OF

STUDY OBJECTIVES

AHSGE OBJECTIVES

34 & 35

2.2 Addition of Real Numbers

Number line

Rules

Properties

2.3 Subtraction of Real

Numbers

Number line

Rules

Fall AHSGE

AB Labs 3.1-3.5

AB Labs 4.1-4.7

1

I-1,

VII-8

36

2.4 Adding and Subtracting

Matrices

AB Labs 4.1-4.7

I-1, VII-8

37

ACTIVITY

38

2.5 Multiplication of Real

Numbers

Investigative patterns

Rules

AB Lab 5.1-5.3,

6.1-6.5

1

I-1, VII-8

39 & 40

2.6 The Distributive Property

Model

Combine like terms

AB Lab 5.4, 7.1

1, 3, 5

I-1, IV-1,

VII-8


Pre-AP ALGEBRA I

PACING GUIDE



8

Day/Number

LESSON PLAN

Optional Activities

ALABAMA COURSE OF

STUDY OBJECTIVES

AHSGE OBJECTIVES

41

AB Lab 5.5

42

CUMMULATIVE REVIEW

43

CUMMULATIVE

ASSESSMENT

FIRST NINE WEEKS ENDS

44 & 45

3.1 Solving Equations Using

Addition

And Subtraction

Modeling real life

situations

Translating verbal

statement

3.2 Solving Equations Using

Multiplication and

Division

Modeling real life

situations

Similar figures -

Pathways

AB Labs 10.2, 10.4,

10.7

7

II-1, VII-8


Pre-AP ALGEBRA I

PACING GUIDE



9

Day/Number

LESSON PLAN

Optional Activities

ALABAMA COURSE OF

STUDY OBJECTIVES

AHSGE OBJECTIVES

46

3.3 Solving Multi-Step

Equations

Two or more

transformations

Distributive property

AB Labs 10.6, 10.7

7

II-1, VI-1

47

3.3 Solving Multi-Step

Equations

Two or more

transformations

Distributive property

AB Labs 10.6, 10.7

7

II-1, VI-1

48

3.4 Solving Equations With

Variables On Both Sides

AB Lab 10.8, 10.10

7

II-1, VI-1

49

3.4 Solving Equations With

Variables On Both Sides

Early Dismissal

AB Labs 10.8,

10.10

7

II-1, VI-1

50

3.5 Linear Equations and

Problem Solving

7

II-1, VII-8


Pre-AP ALGEBRA I

PACING GUIDE



10

Day/Number

LESSON PLAN

Optional Activities

ALABAMA COURSE OF

STUDY OBJECTIVES

AHSGE OBJECTIVES

51

3.5 Linear Equations and

Problem Solving

7

II-1, VII-8

52

3.6 Solving Decimal Equations

7

II-1, VI-1

53

3.7 Formulas and Functions

Solving

Rewriting in function

form

7

III-1, IV-1

54

3.7 Formulas and Functions

Solving

Rewriting in function

form

7

III-1, IV-1

55

3.8 Rates, Ratios and Percents

11.2 Percents

1, 7

II-1, VI-1,

VII-7

56

ASSESSMENT: 3.1-3.8, 11.2


Pre-AP ALGEBRA I

PACING GUIDE



11

Day/Number

LESSON PLAN

Optional Activities

ALABAMA COURSE OF

STUDY OBJECTIVES

AHSGE OBJECTIVES

57

Solving Verbal Problems

Handout: Solving Verbal

Problems

Number problems

Consecutive integers

problems

Ratio problems

Perimeter and area

problems

7, 11

II-1, VI-1,

VII-8

58 & 59

Solving Verbal Problems

Handout: Solving Verbal

Problems

Number problems

Consecutive integers

problems

Ratio problems

Perimeter and area

problems

Cont… Solving Verbal

Problems

Coin problems

Distance/rate problems

Mixtures problems

Investment problems

7, 11

II-1, VI-1,

VII-8

60

4.1 Coordinates and Scatter

Plots

12, 13, 14

V-2, VII-8

61

LTF “EXPONENTIAL

FUNCTIONS

EXPLORATION”


Pre-AP ALGEBRA I

PACING GUIDE



12

Day/Number

LESSON PLAN

Optional Activities

ALABAMA COURSE OF

STUDY OBJECTIVES

AHSGE OBJECTIVES

62

4.2 Graphing Linear Equations

Slope-Intercept form

Standard form

Horizontal and vertical

lines

AB Labs 12.1-12.3

2, 4

V-1, V-2,

V-4

63 & 64


Midpoint 2nd Nine Weeks

65

4.3 Quick Graphs Using

Intercepts

2

V-1, V-2,

V-4

66

4.4 Slope of A Line

Rise/Run

Slope formula


lines

AB Lab 12.4

2, 10

IV-2, V-1,

V-2, V-4

67 & 68

4.4 Slope of A Line

Rise/Run

Slope formula


lines

LTF – M3

“Calculating Average Rates of

Change”

2, 10

IV-2, V-1,

V-2, V-4

2nd 9 Weeks Progress Reports Go Home

69

12.6 The Distance and

Midpoint Formulas

10

IV-2, VII-4


Pre-AP ALGEBRA I

PACING GUIDE



13

Day/Number

LESSON PLAN

Optional ACtivities

ALABAMA COURSE OF

STUDY OBJECTIVES

AHSGE OBJECTIVES

70

4.5 Direct Variation

11.3 Direct and Inverse

Variation

4, 7, 13

V-1, VII-7,

VII-8

71

4.6 Quick Graphs Using Slope-

Intercept Form

Writing equations in

slope-intercept form

Identify family of

parallel lines

AB Labs 12.3

2

V-1, V-2

72

4.6 Quick Graphs Using Slope-

Intercept Form

Writing equations in

slope-intercept form

Identify family of

parallel lines

AB Labs 12.3

2

V-1, V-2

73

4.7 Solving Linear Equations

Using Graphs

9

II-1, V-1,

V-2

74 & 75

4.7 Solving Linear Equations

Using Graphs

9

II-1, V-1,

V-2

76

4.8 Functions and Relations

Identify and evaluate

Vertical line test

Mapping

2,3

III-1, III-2


Pre-AP ALGEBRA I

PACING GUIDE



14

Day/Number

LESSON PLAN

Optional Activities

ALABAMA COURSE OF

STUDY OBJECTIVES

AHSGE OBJECTIVES

77

LTF – M5

“THE AMUSEMENT PARK

PROBLEM”

AHSGE

78

LTF – M7

MOTION – ADAPTED

FROM 1997 CALCULUS AB-

1

AHSGE

79 & 80

ASSESSMENT 4.1-4.8

AHSGE

81

Review for Semester Exam

AHSGE

82

Review for Semester Exam

83

SEMESTER EXAM

84

SEMESTER EXAM

85

MAKE-UP


Pre-AP ALGEBRA I

PACING GUIDE



15

Day/Number

LESSON PLAN

Optional Activities

ALABAMA COURSE OF

STUDY OBJECTIVES

AHSGE OBJECTIVES

Second Semester

86

5.1 Writing Linear Equations

in Slope Intercept Form

2

V-1, VI-1

87


Given Slope and a Point

2

V-1, VI-1

88


Given Two Points

2

V-1, VI-1

89

5.4 Fitting a Line to Data

2, 13, 14

V-2, VII-8

90

5.5 Point Slope form of a

Linear Function

2

V-1, VI-1

91 & 92

LTF-M1

“Piecewise Functions”

5.6 The Standard Form of a

Linear Equation

2

V-4, VI-1


Pre-AP ALGEBRA I

PACING GUIDE



16

Day/Number

LESSON PLAN

Optional Activities

ALABAMA COURSE OF

STUDY OBJECTIVES

AHSGE OBJECTIVES

93

Cont…

5.6 The Standard Form of a

Linear Equation

5.7 Predicting with Linear

Models

2, 9, 14

V-2,

V-4, VI-1

94

Cont…

5.7 Predicting with Linear

Models

9, 14

V-2, V-4

95

ASSESSMENT 5.1-5.7

96

6.1 Solving One-Step Linear

Inequalities

Graphing on the

number line

AB Lab 10.9

7

II-4, V-3,

VI-1

97

6.2 Solving Multi-Step Linear

Inequalities

7

II-4, VI-1

98

6.2 Solving Multi-Step Linear

Inequalities

7

II-4, VI-1


Pre-AP ALGEBRA I

PACING GUIDE



17

Day/Number

LESSON PLAN

Optional Activities

ALABAMA COURSE OF

STUDY OBJECTIVES

AHSGE

OBJECTIVES

99

6.3 Solving Compound

Inequalities

7

II-4, V-3

100 &

101

6.4 Solving Absolute Value

Equations and Inequalities

Graphing absolute

value equations

7

II-1, II-4,

V-3

102

6.5 Graphing Linear

Inequalities in Two

Variables

2, 7

II-4, V-3

103

6.5 Graphing Linear

Inequalities in Two

Variables

2, 7

II-4, V-3

104

TECHNOLOGY

105 &

106

ASSESSMENT: 6.1 – 6.5

7.1 Solving Linear Systems

by

Graphing

8

II-3, V-1


Pre-AP ALGEBRA I

PACING GUIDE



18

Day/Number

LESSON PLAN

Optional Activities

ALABAMA

COURSE OF

STUDY

OBJECTIVES

AHSGE

OBJECTIVES

107


by

Graphing

AB Lab 12.5

8

II-3, V-1

108

TECHNOLOGY

109


Midpoint – 3rd

Nine Weeks

110 &

111


by

Substitution

AB Lab 12.6

8

II-3, VI-1

112


by

Linear Combinations

AB Labs 12.6-12.7

8

II-3, VI-1

3rd Nine Weeks –Midpoint PROGRESS REPORT GOES HOME


Pre-AP ALGEBRA I

PACING GUIDE



19

Day/Number

LESSON PLAN

Optional Activities

ALABAMA

COURSE OF

STUDY

OBJECTIVES

AHSGE

OBJECTIVES

113


by

Linear Combinations

8

II-3, VI-1

114

7.4 Applications of Linear

Systems

8

II-3, VI-1

115

7.4 Applications of Linear

Systems

8

II-3, VI-1

116

LTF-M2

“Solving Systems of Linear

Equaions”

117

7.5 Special Types of Linear

Systems

8

II-3, VI-1

118

7.6 Solving Systems of Linear

Inequalities

8

II-3, II-4,

V-3


Pre-AP ALGEBRA I

PACING GUIDE



20

Day/Number

LESSON PLAN

Optional Activities

ALABAMA

COURSE OF

STUDY

OBJECTIVES

AHSGE

OBJECTIVE

S

119

7.6 Solving Systems of Linear

Inequalities

8

II-3, II-4,

V-3

120

ASSESSMENT: 7.1-7.6

121

8.1 Multiplication Properties

of Exponents

AB Labs 8.1-8.2

1

I-1, I-3

122

8.2 Zero and Negative

Exponents

1

I-1, I-3

123 &

124

8.3 Division Properties of

Exponents

ASSESSMENT: 8.1-8.3

AB Labs 9.1-9.2

1

I-1, I-3

125

9.1 Solving Quadratic

Equations by Finding

Square Roots

1

I-1, II-2


Pre-AP ALGEBRA I

PACING GUIDE



21

Day/Number

LESSON PLAN

Optional Activities

ALABAMA

COURSE OF

STUDY

OBJECTIVES

AHSGE

OBJECTIVES

126


Equations by Finding

Square Roots

1

I-1, II-2

127

9.2 Simplify Radicals

Product property

Quotient property

1

I-1, VII-8

128 &

129

Cont…

9.2 Simplify Radicals

Product property

Quotient property

Cumulative Review

1

I-1, VII-8

130

NINE WEEK ASSESSMENT

131

12.5 The Pythagorean

Theorem

AHSGE

1

VII-2, VII-4

132

9.3 Graphing Quadratic

Equations

AHSGE

4

III-2, V-4


Pre-AP ALGEBRA I

PACING GUIDE



22

Day/Number

LESSON PLAN

Optional Activities

ALABAMA

COURSE OF

STUDY

OBJECTIVES

AHSGE

OBJECTIVES

133

9.3 Graphing Quadratic

Equations

AHSGE

4

III-2, V-4

134


Equations by Graphing

AHSGE

9

II-2, V-4

135


Equations by Graphing

AHSGE

9

II-2, V-4

136

LTF-M5

“INVESTIGATING AREA

UNDER A CURVE”

137


Equations Using the

Quadratic Formula

1

II-2, VII-8

138 &

139

ASSESSMENT: 9.1-9.5,

12.5


Polynomials

AB Labs 7.2-7.7

5

I-2, VI-1


Pre-AP ALGEBRA I

PACING GUIDE



23

Day/Number

LESSON PLAN

Optional Activities

ALABAMA

COURSE OF

STUDY

OBJECTIVES

AHSGE

OBJECTIVES

140

10.2 Multiplying Polynomials

AB Labs 8.3-8.5,

11.1-11.6

5

I-3, VI-1

141

10.2 Multiplying Polynomials

5

I-3, VI-1

142

10.3 Special Products of

Polynomials

Sum and Difference

Square of a binomial

AB Labs 8.5-8.7,

11.7-11.8

5

I-3, VII-8

143 &

144

10.4 Solving Polynomial

Equations In Factored

Form

Zero product property

10.5 Factor Quadratic

Trinomials In the Form

x2

+ bx + c

Solve quadratic

equations by factoring

AB Labs 9.9-9.11

6, 9

I-4, II-2,

VII-8

145

10.5 Factor Quadratic


x2

+ bx + c

Solve quadratic

equations by factoring

Pathways C-43 – C-

45

6, 9

I-4, VII-8


Pre-AP ALGEBRA I

PACING GUIDE



24

Day/Number

LESSON PLAN

Optional Activities

ALABAMA

COURSE OF

STUDY

OBJECTIVES

AHSGE

OBJECTIVES

146

10.6 Factoring Quadratic


ax2 +bx + c

Solve quadratic

equations

by factoring

6

I-4, II-2

147

10.6 Factoring Quadratic


ax2 +bx + c

Solve quadratic

equations

by factoring

6

I-4, II-2

148 &

149

LTF

“Another Way to Look at

Factoring”

10.7 Factoring Special

Products

Difference of two

squares

Perfect square

trinomials

Solving by factoring

6, 9

I-4, II-2

150

10.7 Factoring Special

Products

Difference of two

squares

Perfect square

trinomials

Solving by factoring

6, 9

I-4, II-2


Pre-AP ALGEBRA I

PACING GUIDE



25

Day/Number

LESSON PLAN

Optional Activities

ALABAMA COURSE OF

STUDY OBJECTIVES

AHSGE OBJECTIVES

151

10.8 Factor Using the

Distributive

Property

Greatest Common

Factor

Grouping

Factoring twice

AB LABS 9.5-9.8

6, 9, 11

I-4, II-2

152

10.8 Factor Using the

Distributive

Property

Greatest Common

Factor

Grouping

Factoring twice

6, 9, 11

I-4, II-2

153

ASSESSMENT: 10.1-10.8

154

11.1 Ratio and Pro9portion

7

VII-7, VII-8

155

11.1 Ratio and Proportion

7

VII-7, VII-8

156

11.4 Simplifying Rational

Expressions

15

VI-1, VII-8


Pre-AP ALGEBRA I

PACING GUIDE



26

Day/Number

LESSON PLAN

Optional Activities

ALABAMA COURSE OF

STUDY OBJECTIVES

AHSGE OBJECTIVES

157

11.5 Multiplying and

Dividing

Rational Expressions

Midterm – 4th

Nine Weeks

5

VI-1, VII-8

158


Rational Expressions

Monomial

denominators

AB Labs 9.3-9.4

5

VI-1, VII-8

159

11.7 Dividing Polynomials

Dividing by a

monomial only

5

I-3, VII-8

4th Nine Weeks – Midpoint

PROGRESS REPORT GOES HOME

160

ASSESSSMENT: 11.1,11.4 –11.7

161 &

162

12.1 Functions Involving

Square Roots

Recognize and sketch

graph of square roots

4

III-2, V-4


Pre-AP ALGEBRA I

PACING GUIDE



27

Day/Number

LESSON PLAN

Optional Activities

ALABAMA

COURSE OF

STUDY

OBJECTIVES

AHSGE

OBJECTIVES

163

12.2 Operations With Radical

Expressions

1

VI-1, VII-8

164

12.2 Operations With Radical

Expressions

1

VI-1, VII-8

165

12.3 Solving Radical

Expressions

7

VI-1, VII-8

166 &

167

12.3 Solving Radical

Expressions

7

VI-1, VII-8

168

12.4 Completing the Square

9

II-2, VII-8

169

12.4 Completing the Square

9

II-2, VII-8


Pre-AP ALGEBRA I

PACING GUIDE



28

Day/Number

LESSON PLAN

Optional Activities

ALABAMA

COURSE OF

STUDY

OBJECTIVES

AHSGE

OBJECTIVES

170

12.6 Trigonometric Ratios

VII-1, VII-2,

VII-4

171

12.6 Trigonometric Ratios

VII-1, VII-2,

VII-4

171 &

172

REVIEW

173

REVIEW

174

REVIEW

175

SEMESTER EXAM

1ST

& 3RD


Pre-AP ALGEBRA I

PACING GUIDE



29

Day/Number

LESSON PLAN

Optional Activities

ALABAMA

COURSE OF

STUDY

OBJECTIVES

AHSGE

OBJECTIVES

176

SEMESTER EXAM

2ND

, 4TH

, 6TH

177

SEMESTER EXAM

5TH

& 7TH

178

MAKE-UP

179

MAKE-UP

180

MAKE-UP

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