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PACEMAKERPRACTICAL MATHEMATICS FOR CONSUMERS

BASIC MATHEMATICSPRE-ALGEBRA

ALGEBRA 1GEOMETRY

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ALABAMAMathematics Course of Study

Algebraic Explorations II

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GLOBE FEARONPacemaker®

Practical Mathematics for Consumers ▪ Basic MathematicsPre-Algebra ▪ Algebra 1 ▪ Geometry

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COURSE CONTENT

Numbers and Operations

Algebra Content Standard 1: Simplify numerical expressions using properties of real numbers and order of operations, including those involving square roots, radical form, or decimal approximations.

Benchmark 1: Solve word problems involving the use of integers.Basic MathematicsSE/TAE: 24, 25, 31, 32-33, 35, 37, 41, 42, 48-49, 52, 53, 55, 57, 58-59, 61, 62, 63, 66-67, 68, 71, 73, 74-75, 77, 79, 80-81, 83, 84, 89, 91, 94-95, 97, 99, 100-101, 102, 105, 375, 377, 380, 385, 388-389, 391, 418, 420, 451CRB: Exercises: 13, 16, 26, 29, 31, 32, 35, 41, 43, 44, 45, 46, 55, 58, 60, 61, 62, 219, 221, 222; Visuals: 22WB: Exercises: 14, 21, 25, 26, 31, 34, 40, 43, 162Pre-AlgebraSE/TAE: 26-27, 31, 294-295, 297, 341, 351CRB: Exercises: 6, 107; Visuals: B, U, V, ZWB: Exercises: 6, 77Algebra 1SE/TAE: 22-23, 27, 56-57, 59, 86-87, 88-89, 91, 160-161, 163, 264-265, 267, 322-323, 325, 350-351, 353, 388-389, 406-407, 409, 413, 414, 418, 422, 424, 425, 427CRB: Exercises: 6, 16, 17, 26, 27, 57, 97, 117, 126, 142, 147; Maintaining Skills: 12-15; Visuals: Q; Integrating Geometry: G9WB: Exercises: 6, 11, 12, 18, 60, 72, 78, 87, 92GeometrySE/TAE: 22-23, 24-25, 29, 54-55, 61, 152-153, 176-177, 178-179, 183, 200-201, 202-203, 207, 224-225, 226-227, 231, 256-257, 258-259, 263, 290-291, 292-293, 297, 298, 324-325, 326-327, 331, 360-361, 362-363, 367, 382-383, 384-385, 389, 390, 393, 394, 397, 398, 399, 400, 401, 402, 403, 404, 405CRB: Exercises: 6, 7, 18, 51, 62, 63, 72, 73, 82, 83, 94, 95, 110, 111, 124, 125, 136, 137, 146, 147WB: Exercises: 4, 5, 11, 31, 35, 36, 40, 41, 46, 47, 54, 55, 65, 66, 74, 75, 85, 86, 91, 92

Algebra

SE/TAE: Student’s Edition/Teacher’s Answer EditionCRB: Classroom Resource BinderWB: Workbook

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Algebra Content Standard 2: Analyze linear functions from their equations, slopes, and intercepts.

Benchmark 2: Graph linear equations by plotting points or by using the slope and y-intercept.Calculating the slope of a linear relation given tables or graphs; and determining x-intercepts and y-intercepts of lines.Pre-AlgebraSE/TAE: 321, 328-329, 337, 353CRB: Exercises: 123; Visuals: V, Y, ZWB: Exercises: 87, 89Algebra 1SE/TAE: 120-121, 143, 417CRB: Exercises: 42; Visuals: C, FWB: Exercises: 24, 25, 26

Algebra Content Standard 3: Determine characteristics of a relation, including its domain, range, and whether it is a function, when given graphs, tables of values, mappings, or sets of ordered pairs.

Benchmark 3: Classify relations as linear or nonlinear by examining their graphs.Pre-AlgebraSE/TAE: 321, 328-329, 337, 353CRB: Exercises: 123; Visuals: V, Y, ZWB: Exercises: 87, 89Algebra 1SE/TAE: 120-121, 143, 269, 272-273 274-275, 291, 417, 423CRB: Exercises: 42, 102; Visuals: C, D, F, R, SWB: Exercises: 24, 25, 26, 61, 62, 63

Algebra Content Standard 4: Represent graphically common relations, including x = constant, y = constant, y = x½, y = x², and y = ׀x׀.

Benchmark 4: Represent graphically common relations, including x = constant, y = constant, y = x½, y = x², and y = ׀x׀.Pre-AlgebraSE/TAE: 329 (#3), 353 (#8)CRB: Visuals: Y, Z


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Algebra 1SE/TAE: 124-125, 140, 272-273, 274-275, 417, 423CRB: Exercises: 43, 102; Visuals: C, D, F, H, R, SWB: Exercises: 26, 61, 62, 63

Algebra Content Standard 5: Perform operations of addition, subtraction, and multiplication on polynomial expressions.

Benchmark 5: Perform operations of addition, subtraction, and multiplication on polynomials.Pre-AlgebraPrerequisite concepts and skills are taught on the following pages:SE/TAE: 66-67, 81, 128-129, 141, 228-229, 241, 300-301, 319, 343, 345, 349, 352CRB: Exercises: 23, 44, 84, 112WB: Exercises: 16, 18, 33, 59, 78, 79Algebra 1SE/TAE: 296-297, 298-299, 300-301, 302-303, 325, 424CRB: Exercises: 112, 113WB: Exercises: 67, 68

Algebra Content Standard 7: Solve multi-step equations and inequalities including linear, radical, absolute value, and literal equations.

Benchmark 6: Translate verbal phrases into algebraic expressions and algebraic expressions into verbal phrases.Basic MathematicsSE/TAE: 401, 403Algebra 1SE/TAE: 34-35, 54-55, 59, 414CRB: Exercises: 12, 16WB: Exercises: 7, 8, 12

Benchmark 7: Solve consumer-related problems involving loans and credit purchases.Computing the amount owed on simple interest loans; computing interest on credit purchases; using mortgage rate tables to determine monthly payments; and using simple interest.


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Practical Mathematics for ConsumersSE/TAE: 136, 137-138, 139, 140-141, 142-143, 144-145, 146-147, 148-149, 150, 151, 153, 156-157, 158-159, 160-161, 162-163, 164-165, 166, 167, 169CRB: Exercises: 66, 67, 68, 69, 70, 71, 72, 73, 74WB: Exercises: 30, 31, 32, 33, 34, 35, 36, 37Basic MathematicsSE/TAE: 99

Benchmark 8: Solve consumer-related problems related to measurement.Using distance, rate, and time formula; and compute mileage.Practical Mathematics for ConsumersSE/TAE: 208-209, 210-211, 212-213, 214, 215, 217CRB: Exercises: 104, 105, 106WB: Exercises: 56, 57Basic MathematicsSE/TAE: 73, 79, 95, 97, 102, 103, 105, 267 (#5, #6), 317, 319, 323, 327, 329, 335, 404-405, 408, 420, 453CRB: Exercises: 61, 184, 193, 230, 234; Visuals: 22WB: Exercises: 44, 168Algebra 1SE/TAE: 382-383, 426CRB: Exercises: 137WB: Exercises: 85GeometrySE/TAE: 226-227, 326-327, 400, 403CRB: Exercises: 83, 125WB: Exercises: 47, 75

Algebra Content Standard 8: Solve systems of linear equations and inequalities in two variables graphically or algebraically.

Benchmark 9: Solve one- and two-step equations in two variables for the dependent variable in order to graph their solutions.Pre-AlgebraSE/TAE: 328-329, 337CRB: Exercises: 124; Visuals: ZWB: Exercises: 87, 88


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Algebra 1SE/TAE: 120-121, 143CRB: Exercises: 42; Visuals: C, FWB: Exercises: 24, 25, 26

Geometry

Geometry Content Standard 6: Apply the Pythagorean Theorem to solve application problems, expressing answers in either simplified radical form or as decimal approximations, using Pythagorean triples when applicable.

Benchmark10: Solve problems using the Pythagorean Theorem.Verifying the Pythagorean Theorem; applying the Pythagorean Theorem to determine if a triangle is a right triangle; and applying the Pythagorean Theorem to find the missing length of a side of a right triangle.Pre-AlgebraCRB: Integrating Geometry: G7-G14Algebra 1SE/TAE: 342-343, 350-351, 352-353, 355, 425CRB: Exercises: 124, 126, 127; Visuals: C, D, VWB: Exercises: 75, 76, 77, 78, 79GeometrySE/TAE: 166-168, 174-175, 176-177, 178-179, 183, 398CRB: Exercises: 59, 62, 63WB: Exercises: 32, 35, 36

Geometry Content Standard 8: Deduce relationships, including congruence and similarity, between two triangles from given information to solve problems and to establish other relationships.

Benchmark 11: Determine the lengths of missing sides and measures of angles in similar and congruent figures.Applying proportional reasoning; identifying angle bisectors, perpendicular bisectors, congruent angles, and congruent segments.Basic MathematicsPrerequisite concepts and skills are taught on the following pages: SE/TAE: 264-265, 273CRB: Exercises: 153


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WB: Exercises: 114Pre-AlgebraPrerequisite concepts and skills are taught on the following pages: SE/TAE: 246-247, 266-267, 271, 350CRB: Exercises: 92, 96; Visuals: SWB: Exercises: 64Algebra 1Prerequisite concepts and skills are taught on the following pages: SE/TAE: 376-377, 378-379, 380-381, 385, 426CRB: Exercises: 134, 135; Maintaining Skills: 11WB: Exercises: 83, 84GeometrySE/TAE: 138-139, 240-241, 242-243, 248-249, 256-257, 263, 397, 401CRB: Exercises: 48, 89, 90, 92, 94WB: Exercises: 28, 48, 49, 52, 54

Benchmark 12: Apply properties of similar polygons.Basic MathematicsPrerequisite concepts and skills are taught on the following pages: SE/TAE: 264-265, 273CRB: Exercises: 153WB: Exercises: 114Pre-AlgebraPrerequisite concepts and skills are taught on the following pages: SE/TAE: 246-247, 266-267, 271, 350CRB: Exercises: 92, 96; Visuals: SWB: Exercises: 64Algebra 1Prerequisite concepts and skills are taught on the following pages:SE/TAE: 380-381, 385, 426CRB: Exercises: 136WB: Exercises: 84GeometrySE/TAE: 240-241, 242-243, 248-249, 250-251, 252-253, 256-257, 258-259, 263, 320-321, 331, 401, 403CRB: Exercises: 89, 90, 92, 93, 94, 95, 122WB: Exercises: 48, 49, 52, 53, 54, 55, 73


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Measurement

Algebra Content Standard 11: Solve problems algebraically that involve area and perimeter of a polygon, area and circumference of a circle, and volume and surface area of right circular cylinders or right rectangular prisms.

Benchmark 13: Apply appropriate formulas for perimeter, circumference, surface area, area, and volume in word problems.Practical Mathematics for ConsumersSE/TAE: 208-209, 212-213, 214, 217, 218CRB: Exercises: 104WB: Exercises: 57Basic MathematicsSE/TAE: 348-349, 350-351, 352-353, 354-355, 356-357, 358-359, 360-361, 362-363, 364-365, 367, 448, 449CRB: Exercises: 197, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 210; Visuals: 22WB: Exercises: 147, 148, 149, 150, 151, 152, 153, 154, 155Pre-AlgebraSE/TAE: 28-29, 31, 33, 54-55, 57, 58, 61, 76-77, 78-79, 81, 106-107, 109, 142, 341, 342, 343, 344CRB: Exercises: 7, 17, 26, 27, 37; Visuals: F; Integrating Geometry: G7-G32WB: Exercises: 7, 14, 16, 17, 20, 21, 27, 28Algebra 1SE/TAE: 54, 55, 56-57, 59, 429CRB: Exercises: 17; Maintaining Skills: 17; Integrating Geometry: G9WB: Exercises: 11, 12GeometrySE/TAE: 224-225, 226-227, 231, 290-291, 292-293, 297, 324-325, 326-327, 331, 400, 402CRB: Exercises: 82, 83, 110, 111, 124, 125WB: Exercises: 46, 47, 65, 66, 74, 75

Geometry Content Standard 16: Calculate surface areas and volumes of solid figures, including spheres and cones.

Benchmark 14: Determine surface area and volume of rectangular prisms, cylinders, and pyramids.


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Estimating surface area and volume; using appropriate units of measure to describe surface area and volume; and determining surface area and volume by measuring with customary and metric units.Basic MathematicsSE/TAE: 362-563, 364-365, 367, 449CRB: Exercises: 197, 204, 205WB: Exercises: 154, 155Pre-AlgebraSE/TAE: 78-79, 81, 106-107, 142, 343, 344CRB: Exercises: 27, 37; Visuals: F; Integrating Geometry: G7-G31WB: Exercises: 16, 21, 27, 28Algebra 1SE/TAE: 56-57, 429CRB: Exercises: 17; Maintaining Skills: 16; Integrating Geometry: G9WB: Exercises: 11, 12GeometrySE/TAE: 306-307, 308-309, 312-313, 314-315, 322-323, 324-325, 326-327, 331, 403CRB: Exercises: 117, 118, 119, 120, 123, 124, 125WB: Exercises: 68, 69, 70, 71, 74, 75

Data Analysis and Probability

Algebra Content Standard 14: Use a scatterplot and its line of best fit or a specific line graph to determine the relationship existing between two sets of data, including positive, negative, or no relationship.

Benchmark 15: Organize collected data, including representing the data graphically.Scatterplots; and line graphs.Basic MathematicsSE/TAE: 277, 278-279, 280-281, 282-283, 284-285, 286-287, 300, 439, 440CRB: Exercises: 161, 164, 165, 166, 167, 168, 172WB: Exercises: 118, 119, 120, 121, 122Pre-AlgebraSE/TAE: Exercises: 275, 299, 321Algebra 1SE/TAE: 215, 222-223, 224-225, 226-227, 235, 421CRB: 83, 84; Visuals: PWB: 51, 52


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Algebra Content Standard 15: Estimate probabilities given experimental data in lists or graphs.

Benchmark 16: Determine the theoretical probability of an event.Calculating the probability of complementary events and mutually exclusive events; and computing the probability of two independent events and two dependent events. Basic MathematicsSE/TAE: 298, 299, 301, 442CRB: Exercises: 161; Visuals: 17WB: Exercises: 128Pre-AlgebraSE/TAE: 316-317, 352CRB: Exercises: 117; Visuals: XWB: Exercises: 84Algebra 1SE/TAE: 394-395, 396-397, 398-399, 400-401, 404-405, 409, 427CRB: Exercises: 143, 144, 146WB: Exercises: 86, 88, 89, 90, 91

Geometry Content Standard 18: Construct a circle graph to represent data from given tables or classroom experiments.

Benchmark 17: Construct circle graphs based on budget information.Determine the percentages of a budget to be spent on each of the following, based upon a given monthly net income: housing (Banker’s Rule and Renter’s Rule), utilities, transportation, food, clothing, insurance, savings and/or investments, medical expenses, recreation, education, and retirement.Practical Mathematics for ConsumersSE/TAE: 113Basic MathematicsRelated concepts and skills are taught on the following pages:SE/TAE: 199, 246-247, 257, 290, 291, 301, 342, 368, 436, 441CRB: Exercises: 142, 144, 169, 171; Visuals: 17, 19WB: Exercises: 107, 124Pre-AlgebraRelated concepts and skills are taught on the following pages:SE/TAE: 256-257, 271, 350


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CRB: Exercises: 94WB: Exercises: 67, 68GeometryRelated concepts and skills are taught on the following pages:SE/TAE: 270-271CRB: Exercises: 102WB: Exercises: 57


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