Alabama Course of Study for Mathematics–Grade 7 and … High School Graduation Exam Standards and...

Alabama Course of Studyfor Mathematics–Grade 7

and the

Alabama High School Graduation ExamStandards and Objectives

correlated to the

6/20032002

CC2

CONTENTS

MathThematics, Book 2 correlated to theAlabama Course of Study for Mathematics–Grade 7……………………….……………1

MathThematics, Book 2 correlated to theAlabama High School Graduation Exam Standards and Objectives……………………21

PE = Pupil’s Edition; TE = Teacher’s EditionSelected exercises are referenced in parentheses, otherwise entire page is applicable.

1

MathThematics, Book 2 © 2002correlated to the

Alabama Course of Study for Mathematics--Grade 7

Number and OperationsStudents will:

1. Demonstrate computational fluency with addition, subtraction, and multiplication ofintegers.

PE/TE: 103-112, 115, 280-281, 284-285, 289, 589-590

Teacher’s Resource PackageResource Books:Module 2: 24-29, 54, 64, 71-72, 76, 84-86, 94 (#25-30), 96 (#16-23), 98 (#16-23);Module 4: 36, 38, 40, 74, 81, 86, 96-97, 103 (#7-9), 104 (#8-19), 106 (#8-19)

Other AncillariesInteractive Transparencies:Folder EPreparation for Middle School Math Grade 7:1, 6Book 2 Workbook:49, 58-59, 63, 71-73, 142-143, 147, 157-158Personal Student Tutor CD-ROM:Topic B: Integersmcdougallittell.com:Module 2, Section 3: Weather Underground

� Developing algorithms for performing operations on integersExample: determining a systematic set of steps that can be used to subtract integers

PE/TE: 102, 103-105, 106-107, 108-112, 115, 280-281, 284-285, 289, 589-590

Teacher’s Resource PackageResource Books:Module 2: 24-25, 27-30, 52, 53, 54, 64, 71-72, 84-86, 94 (#25-30), 96 (#16-23),98 (#16-23); Module 4: 36, 38, 40, 74, 81, 86, 96-97, 103 (#21-26), 104 (#8-19),106 (#8-19)

(continued on next page)

MathThematics, Book 2 © 2002 correlated to theAlabama Course of Study for Mathematics––Grade 7


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Other AncillariesInteractive Transparencies:Folder EBook 2 Workbook:47, 48, 58-59, 63, 71-73, 142, 143, 147, 157-158Personal Student Tutor CD-ROM:Topic B: Integersmcdougallittell.com:Module 2, Section 3: Weather Underground, Module 4, Section 2: Your Weight onOther Worlds

� Using inverse properties of addition and of multiplication

PE/TE: 135, 136, 137, 221, 297

Teacher’s Resource PackageResource Books:Module 2: 42, 43, 66, 75, 77, 91-92, 96 (#31-37), 98 (#31-37)

Other AncillariesInteractive Transparencies:Folder EBook 2 Workbook:62, 64, 78-79mcdougallittell.com:Module 2, Section 5: A Walk Around the World

2. Use order of operations to evaluate numerical expressions.

PE/TE: 60-61, 65-66, 70, 73 (#16-18), 282, 283-284, 286 (#27-39), 296

Teacher’s Resource PackageResource Books:Module 1: 43, 45, 46, 48, 69, 78, 80, 96, 98, 103 (#15-18), 105 (#15-18)

Other AncillariesBook 2 Workbook:21, 23, 39, 41



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� Computing absolute values

PE/TE:91, 94, 97, 100

Teacher’s Resource PackageResource Books:Module 2: 17, 19, 20, 63, 69, 82-83, 94 (#16-19), 95 (#8), 97 (#8)

Other AncillariesBook 2 Workbook:56, 63, 69-70Personal Student Tutor CD-ROM:Topic B: Integersmcdougallittell.com:Module 2, Section 2: The Maze Game

� Finding square roots of perfect squares through 225

Opportunities to work with square roots can be found on the following pages:

PE/TE: 396-397, 404-406, 409

Teacher’s Resource PackageResource Books:Module 6: 19, 23-25, 65, 71, 84, 86, 98 (#5-8), 99 (#5-7), 101 (#5-7)

Other AncillariesBook 2 Workbook:203, 216, 218mcdougallittell.com:Module 6, Section 2: Hot-Air Balloons

� Evaluating powers

PE/TE: 17-21, 23, 25, 194, 195, 196-197, 198, 199, 201-202, 203, 286

Teacher’s Resource PackageResource Books:Module 1: 17-21, 65, 73, 84-86, 101 (#8-10); Module 3: 35-39, 60, 61, 71, 80, 84, 95-96, 106 (#23-26), 108 (#23-26)

Other AncillariesBook 2 Workbook:16, 27-29, 86, 87, 97, 101, 112-113



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� Applying properties of operations to compute with integers, fractions, and decimals

PE/TE: 68, 103-112, 115, 166-167, 170, 173-174, 236-238, 239, 240, 241, 243-244, 246, 248-249, 250-253, 255-259, 261, 280-281, 284-285, 289, 581,587, 589-590

Teacher’s Resource PackageResource Books:Module 2: 24-30, 54, 55, 64, 71-72, 76, 84-86, 94 (#25-30), 96 (#16-23), 98 (#16-23);Module 3: 19, 21-23, 57, 69, 76, 83, 89-90, 105 (#23-25), 106 (#12-14), 108 (#12-14);Module 4: 11-15, 17-24, 36, 38, 40, 53, 71, 72, 74, 76-77, 78-79, 81-82, 85-86, 87-89,90, 92, 96-97, 103 (#7-13, #18-26), 104 (#8-19, #27-34), 105 (#35-37), 106 (#8-19,#27-34), 107 (#35-37)

Other AncillariesInteractive Transparencies:Folder BPreparation for Middle School Math Grade 7:1, 2, 6, 11Book 2 Workbook:49, 58-59, 63, 71-73, 83, 93, 100, 106-107, 137-138, 139-140, 142-143, 146-147, 148-150, 151, 153, 157-158Personal Student Tutor CD-ROM:Topic B: Integers; Topic C: Fractions; Topic D: Decimalsmcdougallittell.com:Module 2, Section 3: Weather Underground, Module 4, Section 2: Your Weight onOther Worlds, Module 8, Section 4: World of Escher Gallery

3. Solve problems requiring the use of operations on rational numbers.

Found throughout the text. See, for example:

PE/TE: 60-61, 65-66, 70, 102-113, 131-141, 279-289, 296, 589

Teacher’s Resource PackageResource Books:Module 1: 43, 45-46, 48, 69, 78, 80, 96, 98, 103 (#15-18), 105 (#15-18); Module 2: 24;Module 4: 36-37, 45, 74, 81-82, 86, 96-97, 104 (#27-24), 106 (#27-34)

Other AncillariesInteractive Transparencies:Folder EPreparation for Middle School Math Grade 7:1, 2, 6, 11Book 2 Workbook:21, 23, 39, 41, 142-143, 147, 157-158Personal Student Tutor CD-ROM:Topic A: Whole Numbers



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� Describing the method used

Found throughout the text. See, for example:

PE/TE: 8 (#3), 61, 66, 122 (#18c), 282, 296, 348 (#11a), 555 (#8a)

Teacher’s Resource PackageResource Books:Module 1: 43, 46; Module 4: 37, 45

� Determining the reasonableness of results

PE/TE: 248, 252, 255, 261

Teacher’s Resource PackageResource Books:Module 4: 18, 20-21, 24, 72, 78-79, 103 (#18-20)

Other AncillariesBook 2 Workbook:139-140, 146mcdougallittell.com:Module 4, Section 2: Your Weight on Other Worlds

� Using percents to solve problems, including problems involving discounts, taxes,commissions, and simple interest

Opportunities to address this standard can be found on the following pages:

PE/TE: 3, 7, 344-348, 348-352, 353, 354, 355, 356, 357, 361-362, 366, 369, 371,473-474, 479-480, 483, 499, 500-502, 505, 507-508, 511

Teacher’s Resource PackageResource Books:Module 5: 27-33, 36-37, 39-41, 45, 54, 55, 60-61, 62, 65, 72, 74, 75, 77, 81 (#16-23),83 (#16-23); Module 7: 18-19, 21-23, 33-39, 49, 53, 64, 66, 70-71, 74-75, 78-79, 83-84, 88, 95 (#12-18), 87 (#12-18)

Other AncillariesBook 2 Workbook:164, 172-173, 174, 177, 184, 186, 187, 189, 230, 243-244, 247Personal Student Tutor CD-ROM:Topic F: Percentsmcdougallittell.com:Module 5, Section 3: Basketball Hall of Fame, Module 5, Section 4: Roller CoasterCensus, Module 7, Section 2: Fast Food Finder



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4. Express a pattern shown in a table, graph, or chart as an algebraic equation.

PE/TE: 14-25, 121-124, 126-129, 459-461, 466

Teacher’s Resource PackageResource Books:Module 2: 34-38, 56, 65, 73-74, 77, 96 (#30), 98 (#30); Module 6: 10, 14, 16, 64, 69, 81,83, 98 (#1), 99 (#1-2), 101 (#1-2); Module 7: 10-11, 14, 63, 78, 80-82

Other AncillariesBook 2 Workbook:60-61, 64, 75-76, 201, 213, 215, 251, 253-255Personal Student Tutor CD-ROM:Topic I: Algebra: Variable Expressions; Topic K: Algebra: Graphing Equationsmcdougallittell.com:Module 6, Section 1: Kite Math, Module 7, Section 1: Activity Calorie Calculator

� Recognizing the relationships between numerical patterns in tables and their respectivegraphs in the coordinate plane

Example: recognizing the pattern illustrated in both the table and graph as y = 2x

PE/TE: 121-124, 126-129, 459-461

Teacher’s Resource PackageResource Books:Module 2: 34-38, 56, 65, 74, 77, 88-89, 96 (#30), 98 (#30)

Other AncillariesBook 2 Workbook:51, 61, 64, 75-76Personal Student Tutor CD-ROM:Topic K: Algebra: Graphing Equations



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� Determining if a constant rate of change exists in a pattern


PE/TE: 13-25, 20, 22, 118, 321-322

Teacher’s Resource PackageResource Books:Module 1: 16-17, 19-20, 38-39, 51, 56, 65, 72, 79, 86, 101 (#7), 103 (#7)

Other AncillariesBook 2 Workbook: 2-3, 15, 22, 29Personal Student Tutor CD-ROM:Topic K: Algebra: Graphing Equations

5. Translate verbal phrases into algebraic expressions and algebraic expressions into verbalphrases.

PE/TE: 118-129, 283, 286-287, 289

Teacher’s Resource PackageResource Books:Module 2: 33-38, 65, 73, 77, 87, 89, 94 (#24), 96 (#30), 98 (#30); Module 4: 37, 39-40,82, 96-97

Other AncillariesBook 2 Workbook:60-61, 64, 74, 76, 143, 157-158Personal Student Tutor CD-ROM:Topic I: Algebra: Variable Expressionsmcdougallittell.com:Module 2, Section 5: A Walk Around the World

� Exhibiting understanding of a variable as an unknown quantity

PE/TE: 16, 20, 131-133, 139-140

Teacher’s Resource PackageResource Books:Module 2: 40-41, 44-45, 66, 75, 77, 90, 92, 96 (#37), 98 (#37)

Other AncillariesBook 2 Workbook:62, 64, 77, 79Personal Student Tutor CD-ROM:Topic I: Algebra: Variable Expressionsmcdougallittell.com:Module 2, Section 5: A Walk Around the World



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6. Solve one- and two-step equations.

PE/TE: 132-142, 186, 220-226, 297-298, 300, 303-304, 306

Teacher’s Resource PackageResource Books:Module 2: 41-46, 66, 75, 77, 90-92, 96 (#31-37), 98 (#31-37); Module 3: 50-53, 73, 82,84, 101-102, 107 (#41-44), 109 (#41-44); Module 4: 45-50, 75, 84, 86, 99-100, 105 (#40-42), 107 (#40-42)

Other AncillariesBook 2 Workbook:62, 64, 77-79, 99, 101, 118-119, 145, 147, 160-161Personal Student Tutor CD-ROM:Topic J: Algebra: Solving Equationsmcdougallittell.com:Module 2, Section 5: A Walk Around the World, Module 4, Section 5: Kaleidoscope

� Solving inequalities in one variable

PE/TE: 489-490, 493, 495-496, 498

Teacher’s Resource PackageResource Books:Module 7: 27-31, 65, 73, 86-87, 94 (#14-15)

Other AncillariesBook 2 Workbook:246, 259, 260Personal Student Tutor CD-ROM:Topic J: Algebra: Solving Equationsmcdougallittell.com:Module 7, Section 3: The Food Guide Pyramid

� Graphing solution sets of inequalities on a number line

PE/TE: 380-381, 388-390, 393

Teacher’s Resource PackageResource Books:Module 6: 10, 14-16, 64, 69, 81, 83, 98 (#1), 99 (#1-2), 101 (#1-2)

Other AncillariesBook 2 Workbook:201, 213, 215Personal Student Tutor CD-ROM:Topic K: Algebra: Graphing Equationsmcdougallittell.com:Module 6, Section 1: Kite Math



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� Recognizing properties of equality

PE/TE: 131-133, 135-136, 137

Teacher’s Resource PackageResource Books:Module 2: 40-41, 44-45, 66, 75, 77, 90, 92, 96 (#37), 98 (#37)

Other AncillariesBook 2 Workbook:62, 64, 77, 79Personal Student Tutor CD-ROM:Topic I: Algebra: Variable Expressions; Topic J: Algebra: Solving Equationsmcdougallittell.com:Module 2, Section 5: A Walk Around the World

Geometry7. Determine the transformation(s), including translations, reflections, or rotations, used to

alter the position of a polygon on the coordinate plane.

PE/TE: 264-265, 266-268, 270-272, 275, 276, 291-293, 299-301, 302, 306, 572

Teacher’s Resource PackageResource Books:Module 4: 27-33, 42-48, 50, 54, 56, 57, 58, 62, 73, 75, 80, 81, 86, 93-95, 98, 100, 101-102,103 (#31-32), 104 (#25-26), 105 (#38-39), 106 (#25-26), 107 (#38-39)

Other AncillariesBook 2 Workbook:123, 125, 126, 127, 141, 144, 147, 154-156, 159, 161mcdougallittell.com:Module 4, Section 3: The Secret Garden, Module 4, Section 5: Kaleidoscope

� Determining the type of symmetry (rotational or line) found in a reflection or rotation

PE/TE: 265, 268-269, 270, 271, 272-274, 276, 277

Teacher’s Resource PackageResource Books:Module 4: 27, 29-33, 56, 57, 73, 80, 86, 93-95, 101-102, 103 (#32), 104 (#25-26),106 (#24-26)

Other AncillariesBook 2 Workbook:125, 126, 141, 147, 154-156mcdougallittell.com:Module 4, Section 3: The Secret Garden



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� Graphing transformations of quadrilaterals on the Cartesian plane by plotting thevertices

PE/TE: 292-295, 299, 301-302, 306

Teacher’s Resource PackageResource Books:Module 4: 27-33, 42-48, 50, 54, 56, 57, 58, 62, 73, 75, 80, 81, 86, 93-95, 98, 100, 101-102, 103 (#31-32), 104 (#25-26), 105 (#38-39), 106 (#25-26), 107 (#38-39)

Other AncillariesBook 2 Workbook:123, 125, 126, 127, 141, 144, 147, 154-156, 159, 161mcdougallittell.com:Module 4, Section 3: The Secret Garden, Module 4, Section 5: Kaleidoscope

� Graphing figures which are similar to other figures using dilations

PE/TE: 294-295, 299, 301-302, 306

Teacher’s Resource PackageResource Books:Module 4: 44, 46-48, 50, 63, 75, 83, 99-100, 105 (#39), 107 (#39)

Other AncillariesBook 2 Workbook:132, 144, 147, 160-161mcdougallittell.com:Module 4, Section 5: Kaleidoscope

8. Recognize geometric relationships among two-dimensional and three-dimensional objects.

PE/TE: 56, 398, 399-400, 404, 406, 409, 544, 548-549

Teacher’s Resource PackageResource Books:Module 6: 20-21, 23-25, 65, 72, 84-86, 99 (#9), 101 (#9)

Other AncillariesPreparation for Middle School Math Grade 7:3, 15Book 2 Workbook:204, 216-218Personal Student Tutor CD-ROM:Topic G: Geometry: Angles and Trianglesmcdougallittell.com:Module 6, Section 2: Hot-Air Balloons



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� Drawing geometric figures when given specified components, including base andheight

PE/TE: 217-219, 226

Teacher’s Resource PackageResource Books:Module 3: 48-49, 73, 82, 100, 102

Other AncillariesBook 2 Workbook:99, 117, 119

� Investigating properties and relationships among congruent figures

PE/TE: 267, 270, 273, 276, 295, 413, 417-418

Teacher’s Resource PackageResource Books:Module 4: 28, 30-31, 33, 73, 75, 80, 86, 94-95; Module 6: 28, 30-31, 66, 73, 79, 87-89

Other AncillariesPreparation for Middle School Math Grade 7:3, 15Book 2 Workbook:141, 147, 155-156, 205, 211, 219-221Personal Student Tutor CD-ROM:Topic G: Geometry: Angles and Trianglesmcdougallittell.com:Module 4, Section 3: The Secret Garden

� Identifying geometric ideas in settings outside the mathematics classroomExamples: recognizing Escher drawings as examples of tessellations, the geodesic

dome as an example of triangulation, and architecture as an example ofconstructing three-dimensional shapes; identifying landscape design asan example of area

PE/TE: 86, 232-235, 260, 262-263, 275, 277, 290, 294, 305, 307, 377, 382, 385,394, 397, 408, 411, 423, 426, 433, 435, 437, 442-443, 540, 544-545, 563,564, 568, 572

Teacher’s Resource PackageResource Books:Module 2: 14, 50; Module 4: 9-10, 24, 26, 32, 33, 42, 44, 49, 50, 51, 52, 54, 55, 56,58, 63, 65; Module 6: 11-12, 18-19, 25, 27, 34, 36, 39-40, 42, 45, 52, 53, 54, 56, 57,61; Module 8: 18, 28, 30, 32, 34, 38, 44, 47




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Other AncillariesBook 2 Workbook:45, 120-121, 123, 124, 125, 127, 132, 134, 192, 193, 194, 196, 197, 267, 273mcdougallittell.com:Module 2, Section 2: The Maze Game, Module 4, Section 3: The Secret Garden,Module 4, Section 5: Kaleidoscope, Module 6, Section 2: Hot-Air Balloons, Module 8,Section 2: The Washington Monument, Module 8, Section 4: World of Escher Gallery

� Using networks to represent and solve problemsExample: Find the number of paths from point A to point B.

PE/TE: 442-444, 446, 448-450

Teacher’s Resource PackageResource Books:Module 6: 45-49, 57, 58, 68, 78, 80, 94-95, 100 (#24-26), 102 (#24-26)

Other AncillariesBook 2 Workbook:197, 198, 210, 212, 226-227

Measurement9. Solve problems involving circumference and area of circles.

PE/TE: 218, 233-234, 241-243, 246, 401-403, 405, 407, 409

Teacher’s Resource PackageResource Books:Module 4: 9-10, 13-14, 51, 71, 76, 87, 89, 103 (#1-3), 104 (#1-3), 106 (#1-3);Module 6: 21-25, 51, 65, 72, 79, 85-86, 98 (#13-14), 99 (#10-12), 101 (#10-12)

Other AncillariesInteractive Transparencies:Folder DPreparation for Middle School Math Grade 7:3, 15




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Book 2 Workbook:120, 137, 148, 150, 191, 204, 211, 217-218Personal Student Tutor CD-ROM:Topic H: Geometry: Measurementmcdougallittell.com:Module 6, Section 2: Hot-Air Balloons

� Estimating circumference, diameter, and area

PE/TE: 218, 233-234, 241-243, 246, 401-403, 405, 407, 409

Teacher’s Resource PackageResource Books:Module 4: 9-10, 13-14, 51, 71, 76, 87, 89, 103 (#1-3), 104 (#1-3), 106 (#1-3);Module 6: 21-25, 51, 65, 72, 79, 85-86, 98 (#13-14), 99 (#10-12), 101 (#10-12)

Other AncillariesInteractive Transparencies:Folder DPreparation for Middle School Math Grade 7:3, 15Book 2 Workbook:120, 137, 148, 150, 191, 204, 211, 217-218Personal Student Tutor CD-ROM:Topic H: Geometry: Measurementmcdougallittell.com:Module 6, Section 2: Hot-Air Balloons

� Determining appropriate units of measure to describe circumference, diameter, and area

PE/TE: 218, 233-234, 241-243, 246, 401-403, 405, 407, 409

Teacher’s Resource PackageResource Books:Module 4: 9-10, 13-14, 16, 51, 71, 76, 87, 89, 103 (#1-3), 104 (#1-3), 106 (#1-3);Module 6: 21-25, 51, 65, 72, 79, 85-86, 98 (#13-15), 99 (#10-12), 101 (#10-12)

Other AncillariesInteractive Transparencies:Folder DPreparation for Middle School Math Grade 7:3, 15Book 2 Workbook:120, 137, 148, 150, 191, 204, 211, 217-218Personal Student Tutor CD-ROM:Topic H: Geometry: Measurementmcdougallittell.com:Module 6, Section 2: Hot-Air Balloons



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� Measuring circumference and diameter using customary and metric units

PE/TE: 218, 233-234, 241-243, 246

Teacher’s Resource PackageResource Books:Module 4: 9-10, 13-14, 16, 51, 71, 76, 87, 89, 103 (#1-3), 104 (#1-3), 106 (#1-3)

Other AncillariesBook 2 Workbook:120, 137, 148, 150Personal Student Tutor CD-ROM:Topic H: Geometry: Measurementmcdougallittell.com:Module 6, Section 2: Hot-Air Balloons

� Using circumference and diameter to approximate the value of π

PE/TE: 218, 233-234, 241, 246

Teacher’s Resource PackageResource Books:Module 4: 10, 13, 87

Other AncillariesBook 2 Workbook:148

� Identifying π as an irrational number


PE/TE: 234, 241

Teacher’s Resource PackageResource Books:Module 4: 10, 13, 87

Other AncillariesBook 2 Workbook:148



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� Developing formulas for determining circumference and area

PE/TE: 234, 241, 403, 405

Teacher’s Resource PackageResource Books:Module 4: 10, 13, 87; Module 6: 22-23, 85

Other AncillariesInteractive Transparencies:Folder DBook 2 Workbook:148, 217Personal Student Tutor CD-ROM:Topic H: Geometry: Measurementmcdougallittell.com:Module 6, Section 2: Hot-Air Balloons

10. Find the perimeter of polygons and the area of triangles and trapezoids.

PE/TE: 186, 384, 388, 391-393, 513-514, 516-519, 520, 522, 591, 593

Teacher’s Resource PackageResource Books:Module 6: 12, 14, 15-16, 64, 81-83, 96-97, 98 (#2-4), 99 (#3-4), 101 (#3-4);Module 7: 41-46, 57, 67, 76-77, 79, 91-92, 96 (#28-30), 98 (#28-30)

Other AncillariesInteractive Transparencies:Folder DPreparation for Middle School Math Grade 7:3, 15Book 2 Workbook:213-215, 238, 249-250, 252, 264-266Personal Student Tutor CD-ROM:Topic H: Geometry: Measurementmcdougallittell.com:Module 6, Section 1: Kite Math



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� Developing formulas for determining perimeter and area of triangles and trapezoids

PE/TE: 186, 384, 388, 391-393, 513-514, 516-519, 520, 522, 591, 593

Teacher’s Resource PackageResource Books:Module 6: 12, 14, 15-16, 64, 81-83, 96-97, 98 (#2-4), 99 (#3-4), 101 (#3-4);Module 7: 41-46, 57, 67, 76-77, 79, 91-92, 96 (#28-30), 98 (#28-30)

Other AncillariesInteractive Transparencies:Folder DBook 2 Workbook:213-215, 238, 249-250, 252, 264-266Personal Student Tutor CD-ROM:Topic H: Geometry: Measurementmcdougallittell.com:Module 6, Section 1: Kite Math

11. Solve problems involving ratios or rates, using proportional reasoning.

PE/TE: 118, 313-314, 319, 321-322, 325, 327, 328, 329-330, 336-338, 348-352, 355, 359-360, 366, 368-369, 372, 412-413, 471-480, 482, 502, 573

Teacher’s Resource PackageResource Books:Module 5: 9-10, 12-13, 15, 17-19, 22-23, 29-31, 32, 35-36, 36, 40, 42, 52, 53,, 54, 55, 56,58, 60, 62, 64-65, 66, 68, 69, 71, 73-74, 75, 77, 79 (#1-3, #6-9), 80 (#1-3, #10-12), 81 (#16-21), 82 (#1-3, #10-12), 83 (#16-21)

Other AncillariesBook 2 Workbook:168, 170, 172, 174, 176-177, 178, 180, 181, 183, 184-186, 187, 189Personal Student Tutor CD-ROM:Topic E: Ratio and Proportionmcdougallittell.com:Module 5, Section 1: Run a Marathon, Module 5, Section 3: Basketball Hall of Fame,Module 5, Section 4: Roller Coaster Census



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� Determining the unit rate

PE/TE: 313-314, 319, 321, 325

Teacher’s Resource PackageResource Books:Module 5: 9-10, 12-13, 15, 52, 56, 64, 66, 68, 79 (#1-3), 80 (#1-3), 82 (#1-3)

Other AncillariesBook 2 Workbook:168, 176, 178, 180mcdougallittell.com:Module 5, Section 1: Run a Marathon

� Converting rates from one unit to anotherExample: determining the number of minutes in three days

Opportunities to work with conversion of units can be found on the following pages:

PE/TE: 184, 205-207, 210-211, 215, 440-441, 445, 447, 450, 486-487, 493-495,498, 592, 597

Teacher’s Resource PackageResource Books:Module 3: 41-42, 44, 46, 72, 81, 84, 97, 99, 106 (#33-35), 108 (#33-35);Module 5: 44, 46-47, 49, 68, 78, 94-95, 100 (#21-23), 102 (#21-23); Module 7: 26, 29-30, 33, 65, 72, 78, 85, 87, 94 (#11-13), 96 (#19-21), 98 (#19-21)

Other AncillariesBook 2 Workbook:98, 101, 114, 116, 210, 225, 227, 245, 251, 258, 260mcdougallittell.com:Module 7, Section 3: The Food Guide Pyramid

� Converting units of length, weight, or capacity from metric to customary and fromcustomary to metric

PE/TE: 96, 213

Teacher’s Resource PackageResource Books:Module 2: 20; Module 3: 45



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Data Analysis and Probability12. Determine measures of central tendency (mean, median, and mode) and the range using a

given set of data or graphs, including histograms, frequency tables, and stem-and-leaf plots.

PE/TE: 5-7, 10-12, 29, 315, 316, 317, 318-320, 322-325, 335, 344, 492, 494, 506, 595

Teacher’s Resource PackageResource Books:Module 1: 10-11, 13, 49, 64, 70-71, 79, 82-83, 101 (#6), 102 (#5-6), 104 (#5-6);Module 5: 12-15, 52, 57, 67-68, 79 (#5), 80 (#8-9), 82 (#8-9)

Other AncillariesBook 2 Workbook:1, 13-14, 22, 25-26, 169, 179-180Personal Student Tutor CD-ROM:Topic L: Data and Statisticsmcdougallittell.com:Module 1, Section 1: Facts You Should Know, Module 5, Section 1: Run a Marathon

� Creating histograms

PE/TE: 318-320, 323-325, 506

Teacher’s Resource PackageResource Books:Module 5: 12-15, 52, 57, 67-68, 79 (#5), 80 (#8-9), 82 (#8-9)

Other AncillariesBook 2 Workbook:169, 179-180Personal Student Tutor CD-ROM:Topic L: Data and Statisticsmcdougallittell.com:Module 5, Section 1: Run a Marathon



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13. Determine the probability of a compound event.Example: finding the probability of selecting at random a hamburger and lemonade

when choosing a sandwich and drink from two sandwich choices and threedrink choices

Students are introduced to probability on the following pages:

PE/TE: 26-39, 99, 168-169, 171, 174-175, 363-365, 367, 370-372, 386-387, 389, 391-393, 535

Teacher’s Resource PackageResource Books:Module 1: 23-29, 52, 53, 54, 55, 66, 74-75, 80, 87-89, 99, 101 (#14-15), 103 (#10-13),105 (#10-13); Module 3: 20-21, 23, 69, 77, 89-90, 105 (#26), 106 (#11), 108 (#11);Module 5: 37-39, 41-42, 55, 63, 76-77, 81 (#24), 83 (#24); Module 6: 13-16, 64, 70, 82-83, 99 (#4), 101 (#4)

Other AncillariesInteractive Transparencies:Folder FBook 2 Workbook:4, 5, 6, 7, 17-18, 23, 30-32, 94, 106-107, 175, 177, 188-189, 202, 214-215Personal Student Tutor CD-ROM:Topic M: Probability and Combinationsmcdougallittell.com:Module 5, Section 4: Roller Coaster Census, Module 6, Section 1: Kite Math

� Representing outcomes as a list, chart, picture, or tree diagram

PE/TE: 28, 33, 168-169, 171, 174-175, 363-365, 367, 370-372, 535

Teacher’s Resource PackageResource Books:Module 3: 20-21, 23, 69, 77, 89-90, 105 (#26), 106 (#11), 108 (#11); Module 5: 37-39,41-42, 55, 63, 76-77, 81 (#24), 83 (#24)

Other AncillariesBook 2 Workbook:94, 106-107, 175, 177, 188-189Personal Student Tutor CD-ROM:Topic M: Probability and Combinationsmcdougallittell.com:Module 5, Section 4: Roller Coaster Census



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� Determining the number of possible outcomes by using the fundamental countingprinciple or other techniques

PE/TE: 533-534, 539

Teacher’s Resource PackageResource Books:Module 8: 11-12, 14, 37, 50, 54-55, 62, 64-66, 78 (#4-7), 79 (#3-6), 81 (#3-6)

Other AncillariesInteractive Transparencies:Folder FBook 2 Workbook:266, 276-277, 286-288Personal Student Tutor CD-ROM:Topic M: Probability and Combinationsmcdougallittell.com:Module 8, Section 1: The Elephant Sanctuary

� Modeling the probability of events through simulations with random numbersExample: determining the probability of a baby being a boy by generating randomnumbers, using a number cube with odd numbers representing a boy, to simulate theoutcomes

PE/TE: 26-29, 168-169, 171, 174-175, 363-365, 367, 370-372, 385-386

Teacher’s Resource PackageResource Books:Module 3: 20-21, 23, 69, 77, 89-90, 105 (#26), 106 (#11), 108 (#11); Module 5: 37-39,41-42, 55, 63, 76-77, 81 (#24), 83 (#24)

Other AncillariesBook 2 Workbook:94, 106-107, 175, 177, 188-189Personal Student Tutor CD-ROM:Topic M: Probability and Combinationsmcdougallittell.com:Module 5, Section 4: Roller Coaster Census

PE = Pupil’s Edition = Teacher’s EditionSelected exercises are referenced in parentheses, otherwise entire page is applicable.

21

MathThematics, Book 2 © 2002

correlated to the

Alabama High School Graduation ExamStandards and Objectives

StandardThe student will be able to perform basic operations on algebraic expressions.

Objectives

• Apply order of operations.

PE/TE: 60-61, 65-66, 70, 282, 296

Teacher’s Resource PackageResource Books:Module 1: 43, 45, 46, 48, 69, 78, 80, 96, 98, 103 (#15-18), 105 (#15-18)

Other AncillariesBook 2 Workbook:21, 23, 39, 41

• Add and subtract polynomials.

Opportunities to prepare for work with polynomials can be found on the following pages:

PE/TE: 134-136, 137, 138-139, 141, 287, 296-298

Teacher’s Resource PackageResource Books:Module 2: 40-45, 66, 75, 77, 91-92, 96 (#31-37), 98 (#31-37); Module 4: 39, 45-46, 64,74, 75, 82, 84, 86, 99-100, 105 (#40-42), 107 (#40-42)

Other AncillariesBook 2 Workbook:62, 64, 77-79, 133, 143, 145, 147, 157-158, 160-161

MathThematics, Book 2 © 2002 correlated to theAlabama High School Graduation Exam Standards and Objectives


22

• Multiply polynomials.

Opportunities to prepare for work with polynomials can be found on the following pages:

PE/TE: 118-120, 125, 129, 283, 288, 289, 296-298

Teacher’s Resource PackageResource Books:Module 2: 33-34, 36, 38, 65, 73-74, 77, 87-89, 93, 96 (#30), 98 (#30); Module 4: 40, 45-46, 64, 74, 75, 82, 84, 86, 96-97, 99-100, 105 (#40-42), 107 (#40-42)

Other AncillariesBook 2 Workbook:61, 64, 74-76, 133, 143, 145, 147, 157-158, 160-161

• Factor polynomials.

Opportunities to work with factors can be found on the following pages:

PE/TE: 148-151, 152-154, 155, 156, 157-159

Teacher’s Resource PackageResource Books:Module 3: 9-14, 54, 55, 56, 68, 74-75, 83, 85-87, 105 (#1-16), 106 (#1-7), 108 (#1-7)

Other AncillariesBook 2 Workbook:80-82, 91-92, 100, 102-104Personal Student Tutor CD-ROM:Topic J: Algebra: Solving Equations



23

StandardThe student will be able to solve equations and inequalities.

Objectives

• Solve multi-step equations of first degree.

PE/TE: 132-142, 186, 220-226, 297-298, 300, 303-304, 306


Other AncillariesInteractive Transparencies:Folder CBook 2 Workbook:62, 64, 77-79, 99, 101, 118-119, 145, 147, 160-161Personal Student Tutor CD-ROM:Topic J: Algebra: Solving Equationsmcdougallittell.com:Module 2, Section 5: A Walk Around the World; Module 4, Section 5: Kaleidoscope

• Solve quadratic equations that are factorable.

Opportunities to work with factors can be found on the following pages:

PE/TE: 148-151, 152-154, 155, 156, 157-159

Teacher’s Resource PackageResource Books:Module 3: 9-14, 54, 55, 56, 68, 74-75, 83, 85-87, 105 (#1-16), 106 (#1-7), 108 (#1-7)

Other AncillariesBook 2 Workbook:80-82, 91-92, 100, 102-104Personal Student Tutor CD-ROM:Topic J: Algebra: Solving Equations



24

• Solve systems of two linear equations.

Opportunities to introduce this standard can be found on the following pages:

PE/TE: 121-124, 126-129


Other AncillariesBook 2 Workbook:62, 64, 77-79, 99, 101, 118-119, 145, 147, 160-161Personal Student Tutor CD-ROM:Topic J: Algebra: Solving Equationsmcdougallittell.com:Module 2, Section 5: A Walk Around the World; Module 4, Section 5: Kaleidoscope

• Solve multi-step inequalities of first degree.

PE/TE: 380-381, 388-390, 393, 489-490, 493, 495-496, 498

Teacher’s Resource PackageResource Books:Module 6: 10, 14-16, 64, 69, 81, 83, 98 (#1), 99 (#1-2), 101 (#1-2); Module 7: 27-31, 65,73, 86-87, 94 (#14-15), 96 (#22), 98 (#22)

Other AncillariesBook 2 Workbook:201, 213-215, 246, 259-260mcdougallittell.com:Module 6, Section 1: Kite Math



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StandardThe student will be able to apply concepts related to functions.

Objectives

• Identify functions.

PE/TE: 118-120, 121-124, 124-129

Teacher’s Resource PackageResource Books:Module 2: 33-38, 65, 73-74, 77, 87-89, 93, 96 (#30), 98 (#30)

Other AncillariesBook 2 Workbook:60-61, 64, 74-76

• Find the range of functions when given the domain.

PE/TE: 119, 120, 122, 124, 125, 127-129

Teacher’s Resource PackageResource Books:Module 2: 33-38, 65, 73-74, 77, 87-89, 93, 96 (#30), 98 (#30)

Other AncillariesBook 2 Workbook:60-61, 64, 74-76Personal Student Tutor CD-ROM:Topic I: Algebra: Variable Expressions



26

StandardThe student will be able to apply formulas.

Objectives

• Find the perimeter, circumference, area, or volume of geometric figures.

PE/TE: 18-19, 21, 23, 25, 186, 233-234, 241-243, 246, 382, 383-384, 388, 391-393, 395,401-403, 405, 407, 409, 437-439, 445-447, 450, 457-458, 464-466, 470, 516-518, 520, 522,540, 542-543, 545-547, 549, 551, 568-571, 573-574, 576, 591, 593

Teacher’s Resource PackageResource Books:Module 1: 18-21, 65, 72-73, 79, 84-86, 101 (#11-13), 103 (#9), 105 (#9); Module 4: 9-10,13-14, 71, 76, 87, 89, 103 (#1-3), 104 (#1-3), 106 (#103); Module 6: 11-12, 14-16, 21-25,42-43, 46-47, 49, 64, 65, 68, 72, 77-78, 79, 81-83, 84-86, 93-95, 96-97, 98, 99 (#3, 8-12),100 (#19-20), 101 (#3, 8-12), 102 (#19-20); Module 7: 9-10, 13-14, 43-46, 57, 63, 67, 68,76-77, 78, 79, 80, 82, 91-92, 94 (#1-3), 95 (#1-3), 96 (#28-30), 97 (#1-3), 98 (#28-30);Module 8: 16-21, 32-36, 38, 39, 42, 43, 51, 53, 57, 61, 62-63, 68-69, 74-75, 78 (#8-12),79 (#8-13), 80 (#20-22), 81 (#8-13), 82 (#20-22)

Other AncillariesInteractive Transparencies:Folder DPreparation for Middle School Math Grade 7:3-4Book 2 Workbook:15-16, 22, 27-29, 137, 148, 150, 204, 209-210, 211, 213-215, 216-218, 225-227, 238, 241,250, 251, 252, 253, 255, 264-265, 267, 268, 271, 272, 279, 283, 284-285, 290-291, 296-297Personal Student Tutor CD-ROM:Topic H: Geometry: Measurementmcdougallittell.com:Module 6, Section 2: Hot-Air Balloons; Module 8, Section 2: The Washington Monument

• Find the distance, midpoint, or slope of line segments when given two points.

PE/TE: 119, 124, 461, 464, 467-468, 470

Teacher’s Resource PackageResource Books:Module 7: 13-15, 63, 69, 78, 80-82, 94, 95 (#4-7), 97 (#4-7)

Other AncillariesInteractive Transparencies:Folder GBook 2 Workbook:242, 251, 253-255



27

StandardThe student will be able to apply graphing techniques.

Objectives

• Graph or identify graphs of linear equations.

Opportunities to introduce this standard can be found on the following pages:

PE/TE: 93, 95, 97-98, 100, 121-124, 126-129, 322, 459-461, 466, 569

Teacher’s Resource PackageResource Books:

Module 2:18-21, 34-38, 63, 65, 70, 74, 77, 82-83, 88-89, 96 (#30), 98 (#30);Module 7: 10-11, 14, 63, 69, 78, 80-82, 94

Other AncillariesBook 2 Workbook:57, 61, 64, 69-70, 75-76, 242, 251, 253-255Personal Student Tutor CD-ROM:Topic K: Algebra: Graphing Equationsmcdougallittell.com:Module 2, Section 2: The Maze Game

• Identify graphs of common relations.

PE/TE: 93, 95, 97-98, 100, 121-124, 126-129, 459-461, 466

Teacher’s Resource PackageResource Books:Module 2:18-21, 34-38, 63, 65, 70, 74, 77, 82-83, 88-89, 96 (#30), 98 (#30);Module 7: 10-11, 14, 63, 69, 78, 80-82, 94




28

• Graph lines given certain conditions.

PE/TE: 93, 95, 97-98, 100, 121-124, 126-129, 459-461, 466

Teacher’s Resource PackageResource Books:Module 2:18-21, 34-38, 63, 65, 70, 74, 77, 82-83, 88-89, 96 (#30), 98 (#30);Module 7: 10-11, 14, 63, 69, 78, 80-82, 94


• Determine solution sets of inequalities.

PE/TE: 489-490, 493, 495-496, 498

Teacher’s Resource PackageResource Books:Module 7: 27-28, 29-31, 65, 73, 86-87, 94 (#14-15), 96 (#22), 98 (#22)

Other AncillariesBook 2 Workbook:246, 259-260



29

StandardThe student will be able to represent problem situations.

Objectives

• Translate verbal or symbolic information into algebraic expressions or identify equations orinequalities that represent graphs or problem situations.

PE/TE: 118-129, 283, 286-287, 289, 322, 380-381, 388-390, 393, 489-490, 493, 495-496,498, 569

Teacher’s Resource PackageResource Books:Module 2: 33-38, 56, 65, 73-74, 77, 87-89, 96 (#30, #37), 98 (#30, #37); Module 4: 37,39, 40, 74, 82, 86, 96-97; Module 6: 14-16, 64, 69, 81, 83, 98 (#1), 99 (#1-2), 101 (#1-2);Module 7: 27-31, 65, 73, 86-87

Other AncillariesBook 2 Workbook:60-61, 64, 74-76, 142-143, 147, 157-158, 201, 213, 215Personal Student Tutor CD-ROM:Topic K: Algebra: Graphing Equationsmcdougallittell.com:Module 6, Section 1: Kite Math,Module 7, Section 3: The Food Guide Pyramid

StandardThe student will be able to solve problems involving a variety of algebraic and geometric concepts.

Objectives

• Apply properties of angles and relationships between angles.

PE/TE: 77-85, 87, 423-425, 426-429, 430, 431, 432, 434, 500, 505

Teacher’s Resource PackageResource Books:Module 2: 9-14, 47, 48, 49, 62, 67-68, 76, 78-80, 94 (#1-6), 95 (#1-6), 97 (#1-6);Module 6: 34-40, 55, 67, 75-76, 80, 90-92, 98 (#19-22), 100 (#14-18), 102 (#14-18)

Other AncillariesInteractive Transparencies:Folder APreparation for Middle School Math Grade 7:2-3Book 2 Workbook:Topic G: Geometry: Angles and TrianglesPersonal Student Tutor CD-ROM:42, 43, 44, 54-55, 63, 65-67, 195, 207-208, 212, 222-224



30

• Apply Pythagorean Theorem.

Opportunities to prepare students for work with the Pythagorean Theorem can be found onthe following pages:

PE/TE: 217, 218-219, 223-224, 226, 266, 384, 388, 391-393, 415, 417, 419, 421, 426-427,429, 431, 434, 566, 571

Teacher’s Resource PackageResource Books: Module 3: 48-49, 51-53, 62, 73, 82, 84, 100, 102, 107 (#38-40, 44), 109 (#38-40, 44);Module 6: 12, 14-16, 29-32, 36-38, 40, 64, 66, 67, 70, 73-74, 76, 80, 88-89, 91-92,100 (#16-18), 102 (#16-18)

Other AncillariesBook 2 Workbook:88, 99, 117, 119, 205-206, 208, 212, 220-221, 223-224Personal Student Tutor CD-ROM:Topic G: Geometry: Angles and Triangles

• Apply properties of similar polygons.

PE/TE: 295, 299, 301-302, 306, 412-413, 415-416, 417-418, 419, 421, 429, 432

Teacher’s Resource PackageResource Books:Module 4: 44, 46-48, 50, 75, 83, 86, 98-100, 105 (#38-39), 107 (#38-39); Module 6: 28-32, 53, 66, 73-74, 79, 87-89, 98 (#19-22), 100 (#14-15), 102 (#14-15)

Other AncillariesPreparation for Middle School Math Grade 7:3Personal Student Tutor CD-ROM:144, 147, 159-161, 193, 205-206, 211, 219-221



31

• Apply properties of plane and solid geometric figures.

PE/TE: 56, 218, 233-234, 241-243, 246, 382, 388, 398-400, 401-403, 404, 405, 406-407,409, 432, 437-439, 445-447, 450, 457-458, 464-466, 470, 500, 505, 513-514, 516-520, 522,540, 544-547, 548-549, 551, 568-571, 573-574, 576, 593

Teacher’s Resource PackageResource Books: Module 4: 9-10, 13-14, 51, 71, 76, 87, 89, 103 (#1-3), 104 (#1-3), 103 (#1-3);Module 6: 11, 14, 20-25, 69, 42-43, 46-47, 49, 51, 64, 65, 68, 69-70, 72, 77, 79, 80, 81-83,84-86, 93, 95, 96-97, 98, 99-100, 101-102; Module 7: 9, 13-14, 17, 41-45, 57, 63, 67, 68,76-77, 78-79, 80, 82, 91, 92, 94 (#1-3), 95 (#1-3), 96 (#26-30), 97 (#1-3), 98 (#26-30);Module 8: 18-21, 38, 39, 42, 43, 51, 5357, 60-61, 62-63, 68-69, 74-75, 79 (#11-13),80 (#20-22), 81 (#11-13), 82 (#20-22)

Other AncillariesBook 2 Workbook:120, 137, 148, 150, 191, 201-202, 204, 209, 211-212, 213-215, 216-218, 225, 227, 241,249-250, 251-252, 253, 255, 264-265, 267, 268, 271, 279, 282-283, 285290-291, 296-297mcdougallittell.com:Module 5, Section 1: Run a Marathon,Module 7, Section 3: The Food Guide Pyramid

• Determine measures of central tendency.

PE/TE: 315, 317, 320, 323, 325, 335, 492, 494, 595

Teacher’s Resource PackageResource Books:Module 5: 10-11, 13-15, 52, 57, 64, 67-68, 79 (#11), 80 (#6), 82 (#6); Module 7: 29-30,50, 51, 73, 86-87, 94 (#16), 96 (#23), 98 (#23)

Other AncillariesBook 2 Workbook:169, 176, 179-180, 246, 259-260Personal Student Tutor CD-ROM:Topic L: Data and Statistics



32

• Determine probabilities.

PE/TE: 26-39, 99, 168-169, 171, 174-175, 363-365, 367, 370-372, 386-387, 389, 391-393,535

Teacher’s Resource PackageResource Books:Module 1: 23-29, 52, 53, 54, 55, 66, 74-75, 80, 87-89, 99, 103 (#10-13), 105 (#10-13);Module 3: 20-21, 23, 69, 77, 89-90, 105 (#26), 106 (#11), 108 (#11); Module 5: 37-39,41-42, 55, 63, 65, 76-77, 81 (#24), 83 (#24); Module 6: 13-16, 64, 70, 82-83, 99 (#4),101 (#4)

Other AncillariesInteractive Transparencies:Folder FBook 2 Workbook:4, 5, 6, 7, 17-18, 23, 30-32, 94, 106-107, 175, 177, 188-189, 202, 214-215Personal Student Tutor CD-ROM:Topic M: Probability and Combinationsmcdougallittell.com:Module 8, Section 1: The Elephant Sanctuary

• Solve problems involving direct variation.

Opportunities to work with formulas that model a form of direct variation can be found onthe following pages:

PE/TE: 119, 124, 233-234, 241-243, 246, 401-403, 405, 407, 409, 457-458, 464-466, 470

Teacher’s Resource PackageResource Books:Module 4: 9-10, 13-14, 51, 71, 76, 87, 89, 103 (#1-3), 104 (#1-3), 106 (#1-3);Module 6: 21-25, 51, 65, 72, 79, 85-86, 98 (#13-15), 99 (#10-12), 101 (#10-12);Module 7: 9-10, 13-14, 63, 68, 78, 80, 82, 94 (#1-3), 95 (#1-3), 97 (#1-3)

Other AncillariesBook 2 Workbook:120, 137, 148, 150, 191, 204, 211, 217-218, 241, 251, 253, 255Personal Student Tutor CD-ROM:Topic I: Algebra: Variable Expressions



33

• Solve problems involving algebraic concepts.

PE/TE: 41-47, 52, 118-120, 121-122, 131-133, 138, 282-283, 379-381, 488-490

Teacher’s Resource PackageResource Books:Module 1: 31-34, 67, 76, 80, 90-92; Module 2: 33-35, 40-41, 44, 56, 65, 66, 73, 75, 77,87-89, 90-92, 96 (#30, #37), 98 (#30, #37); Module 4: 37, 81-82, 86, 96-97; Module 6: 9-10, 64, 69, 81, 83, 98 (#1), 99 (#1-2), 101 (#1-2); Module 7: 27-28, 65, 86-87, 96 (#22),98 (#22)

Other AncillariesBook 2 Workbook:19, 23, 33-35, 60, 62, 64, 74-76, 77, 79, 142, 143, 147, 157-158, 201, 213, 259Personal Student Tutor CD-ROM:Topic I: Algebra: Variable Expressions; Topic J: Algebra: Solving Equations;Topic K: Algebra: Graphing Equationsmcdougallittell.com:Module 6, Section 1: Kite Math,Module 7, Section 3: The Food Guide Pyramid

Alabama Course of Study for Mathematics–Grade 7 and … High School Graduation Exam Standards and...

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Transcript of Alabama Course of Study for Mathematics–Grade 7 and … High School Graduation Exam Standards and...