prentice hall mathematics: algebra 2 © 2004 correlated to...

Prentice Hall Mathematics: Algebra 2 © 2004 Correlated to:

South Dakota Essential Core Mathematics Standards (Grades 9-12)

SE = Student Edition TE = Teacher’s Edition TR = Teaching Resources TECH = Technology 1

SOUTH DAKOTA ESSENTIAL CORE MATHEMATICS STANDARDS

PAGE(S) WHERE TAUGHT (If submission is not a text, cite appropriate resource(s))

GOAL 1 – ALGEBRA Students will use the language of algebra to explore, describe, represent, and analyze number expressions and relations that represent variable quantities. Indicator 1: Analyze procedures to transform algebraic expressions. 9 – 12 Benchmarks:

a. use practical applications to model the properties of equality and inequality.

SE/TE: 20-21, 26-29, 33-34, 49, 78-80, 85, 99-101, 108, 122, 158, 231, 240, 302, 513-514, 551, 846, 850

TR: Practice, Reteaching, Enrichment: 1-3, 1-4, 1-5, 2-4, 2-7, 3-1, 5-1, 6-1, 9-6, 10-3

TECH: www.phschool.com; iText Online and CD-ROM; Resource Pro with Planning Express CD-ROM; Computer Test Generator CD-ROM; Prentice Hall Presentation Pro

b. develop procedures for determining solutions

for systems of algebraic statements.

SE/TE: 20-21, 352, 588, 836, 837, 838, 839, 840, 841 TR: Practice, Reteaching, Enrichment: 1-3, 11-1 TECH: www.phschool.com; iText Online and CD-

ROM; Resource Pro with Planning Express CD-ROM; Computer Test Generator CD-ROM; Prentice Hall Presentation Pro

c. transform algebraic expressions and analyze

the changes in graphs.

SE/TE: 12-13, 65-66, 67, 108, 186-191, 226 TR: Practice, Reteaching, Enrichment: 1-2, 2-2, 4-

3, 4-4 TECH: www.phschool.com; iText Online and CD-


Grade level standards: the student will: Ninth

1.1.9.1. Analyze various expressions which emphasize the distributive property, e.g., 3(x+2); (x + 1)(x2 - 2x + 3).

SE/TE: 7, 12-13, 14, 48, 179, 182, 234, 255-259, 301, 363-365, 368-371, 374-376, 416, 438-440, 446-448, 471, 499-501, 504-507, 528, 615, 631, 766, 859

TR: Practice, Reteaching, Enrichment: 1-1, 1-2, 4-3, 5-1, 5-5, 6-1, 7-1, 7-2, 7-3, 8-3, 8-4, 9-4, 9-5, 11-5, 14-1

TECH: www.phschool.com; iText Online and CD-ROM; Resource Pro with Planning Express CD-ROM


South Dakota Essential Core Mathematics Standards, (Grades 9-12)




(Continued) 1.1.9.1. Analyze various expressions which

emphasize the distributive property, e.g., 3(x+2); (x + 1)(x2 - 2x + 3).

(Continued) TECH: Computer Test Generator CD-ROM; Prentice

Hall Presentation Pro

Tenth

1.1.10.1. Select, justify and apply a technique to solve quadratic equations over the set of complex numbers and interpret the results graphically

SE/TE: 65-66, 108, 263-264, 265, 273, 278, 279, 280, 285-289, 294, 295

TR: Practice, Reteaching, Enrichment: 2-2, 5-5, 5-6, 5-7, 5-8


Eleventh

1.1.11.1. analyze the relationships among the coefficients, factors, and roots of polynomials.

SE/TE: 13, 210, 212, 227, 264, 307-308, 321, 322-324, 328, 329-331, 337-355

TR: Practice, Reteaching, Enrichment: 1-2, 4-7, 5-5, 6-2, 6-4, 6-5, 6-6


1.1.11.2. apply commutative, associative,

distributive, identity, and inverse properties when combining functions.

SE/TE: 7, 13, 171, 179, 182, 195, 227, 329, 400-403, 407-408, 417, 765, 800-801, 802, 803, 807-808, 809, 815

TR: Practice, Reteaching, Enrichment: 1-1, 1-2, 4-2, 4-3, 4-5, 6-5, 7-7, 7-8, 14-1, 14-6, 14-7


Twelfth

1.1.12.1. use matrices to organize and manipulate data, including matrix addition, subtraction, and scalar multiplication.

SE/TE: 164-166, 170-171, 172-173, 177, 178-179, 180-182, 187-188, 188-189, 190, 191, 195-199, 202-203, 209, 210, 212, 217-220, 225, 226, 227

TR: Practice, Reteaching, Enrichment: 4-1, 4-2, 4-3, 4-4, 4-5, 4-6, 4-7, 4-8







1.1.12.2. apply recursive formulas to express iterative patterns of change including those of exponential growth and DOEy, e.g., mortgages, investment returns.

SE/TE: 65-68, 248, 422, 433, 434, 469, 588, 590, 591, 595, 599, 601, 629



Indicator 2: Use a variety of algebraic concepts and methods to solve problems. 9 – 12 Benchmarks:

a. evaluate the validity of the algebraic representation of given data.

SE/TE: 17, 30, 76, 146, 154, 167, 200, 246, 260, 290, 318, 326, 333, 350, 372, 377, 383, 442, 449, 458, 502, 508, 524, 553, 560, 574, 596, 618, 653, 661, 717, 774, 775

TR: Practice, Reteaching, Enrichment: 1-2, 1-4, 2-3, 3-5,l 3-6, 4-5, 5-2, 5-4, 5-8, 6-3, 6-4, 6-5, 6-8, 7-2, 7-3, 7-4, 8-3, 8-4, 8-5, 9-4, 9-7, 10-3, 10-4, 10-6, 11-2, 11-5, 12-3, 12-4, 13-3, 14-2


b. solve problems involving systems of linear

equations and networks.

SE/TE: 116-118, 122-124, 130-131, 135-137, 157, 158, 208-209, 210-213, 269



c. use the graphs of functions to solve

problems.

SE/TE: 71, 86-87, 109, 235, 241-243, 249-250, 300-306, 407, 409-410, 422, 425, 431-432, 440-441, 484, 494-495, 528, 721-724, 728, 729-730, 735-737, 742-744, 751-752

TR: Practice, Reteaching, Enrichment: 2-2, 2-5, 5-1, 5-2, 6-1, 7-7, 7-8, 8-1, 8-2, 8-3, 9-1, 9-3, 13-4, 13-5, 13-6, 13-7, 13-8








1.2.9.1. determine equations for lines meeting certain conditions.

SE/TE: 62, 63-67, 71, 72-74, 78-80, 85, 99-101, 108, 109, 116, 118, 123, 122, 124-125, 128, 130-131, 157, 158, 210-213, 217-220, 227, 269, 302, 461, 849



1.2.10.1. determine the solution of systems of

equations in multiple ways.

SE/TE: 116, 117, 118, 122-124, 125, 135-137, 148-150, 151-152, 157, 159, 210-213, 217, 218-220, 577



Eleventh

1.2.11.1. determine roots of polynomial functions including complex roots.

SE/TE: 4, 262, 264, 270, 321, 322-324, 328, 329-331, 335-337, 354, 355, 363, 364, 379-382, 410, 415, 862

TR: Practice, Reteaching, Enrichment: 1-1, 5-4, 5-5, 6-4, 6-5, 6-6, 7-1, 7-4, 7-8


1.2.11.2. solve problems using the quadratic

formula including graphic representation and analysis.

SE/TE: 263-264, 265, 273, 278-280, 285-289, 294, 295, 577



Twelfth

1.2.12.1. determine the solution of systems of equations in multiple ways.

SE/TE: 116, 117, 118, 122-124, 125, 135-137, 148-150, 151-152, 157, 159, 210-213, 217, 218-220, 577






(Continued) 1.2.12.1. determine the solution of systems of

equations in multiple ways.

(Continued) TR: Practice, Reteaching, Enrichment: 3-1, 3-2, 3-

4, 3-6, 4-7, 4-8, 10-6 TECH: www.phschool.com; iText Online and CD-


1.2.12.2. apply the binomial theorem

SE/TE: 348-349, 355, 671-672, 673-674, 689 TR: Practice, Reteaching, Enrichment: 6-8, 12-6 TECH: www.phschool.com; iText Online and CD-


Indicator 3: Analyze and describe situations that involve one or more variables. 9 - 12 Benchmarks:

a. produce a graphic simulation of various phenomena using parametric equations.

SE/TE: 122, 407, 555, 777 TR: Practice, Reteaching, Enrichment: 3-1, 7-7,

10-3, 14-2 TECH: www.phschool.com; iText Online and CD-


b. analyze mathematical simulations to

interpret the results of change, e.g., motion, time.

SE/TE: 40, 49, 64-68, 453-454, 638-639, 848 TR: Practice, Reteaching, Enrichment: 1-6, 2-2, 8-



c. analyze and describe systems of equations

that represent families of curves, e.g., circles and ellipses.

SE/TE: 535, 536, 549-552, 556, 557, 571, 580, 581, 623, 624, 631, 706-708, 712, 714-715, 758, 857




1.3.9.1. create algebraic models and formulas to represent problem situations.

SE/TE: 20-21, 78-80, 85, 108, 236, 240, 302, 308, 352, 513-514, 545, 551, 588, 724, 836, 838






(Continued) 1.3.9.1. create algebraic models and formulas

to represent problem situations.

(Continued) SE/TE: 839, 840, 841 TR: Practice, Reteaching, Enrichment: 1-3, 2-4, 5-

1, 6-1, 6-2, 9-6, 10-2, 11-1, 13-4 TECH: www.phschool.com; iText Online and CD-


Tenth N / A Eleventh

1.3.11.1. derive procedures for determining critical features of circles, ellipses, hyperbolas, or parabolas given equations in standard form.

SE/TE: 235, 248, 249-250, 251, 293, 535, 536, 543, 544-546, 549-552, 556, 557, 562, 563, 565, 571-572, 579, 580, 581, 623, 624, 631, 706-708, 712, 714-715, 758, 857



1.3.11.2. compare quadratic growth with linear

and exponential growth.

SE/TE: 12, 362, 379-382, 422-423, 424-426, 453-454, 455, 469

TR: Practice, Reteaching, Enrichment: 1-2, 7-4, 8-1, 8-5


Twelfth

1.3.12.1. solve linear-quadratic and quadratic-quadratic systems of equations algebraically and graphically.

SE/TE: 263-264, 265, 273, 278-280, 286-288, 289, 294, 295, 543-545



1.3.12.2. build formulas representing patterns

that are algebraic, trigonometric, logarithmic and exponential.

SE/TE: 248, 424-426, 469, 588, 589, 590, 591, 594, 595, 599, 600-602, 607-609, 614-615, 629, 630, 631, 742-752






(Continued) 1.3.12.2. build formulas representing patterns

that are algebraic, trigonometric, logarithmic and exponential.




GOAL 2 – GEOMETRY Students will use the language of geometry to discover, analyze, and communicate geometric concepts, properties, and relationships. Indicator 1: Apply deductive and inductive reasoning to analyze geometric properties to solve problems. 9 - 12 Benchmarks:

a. describe properties of geometric figures using inductive reasoning.

SE/TE: 8, 10, 13, 23, 27, 31, 34, 42, 44, 49, 69, 76, 88, 96, 117, 120, 127, 133, 140, 145, 146, 149, 165, 181, 187-188, 194, 199, 200, 201, 218, 236, 239, 243, 377, 380, 391, 463, 482, 489, 538, 559, 602, 613, 614-616, 630, 631, 632, 664, 703, 717, 725, 726, 754, 774, 780, 791, 870

TR: Practice, Reteaching, Enrichment: 1-1, 1-2, 1-3, 1-4, 1-6, 2-2, 2-3, 2-5, 2-6, 3-1, 3-2, 3-3, 3-4, 3-6, 4-3, 4-4, 4-5, 4-8, 5-1, 5-2, 7-3, 7-4, 7-5, 8-6, 9-1, 9-2, 10-1, 10-4, 11-3, 11-4, 11-5, 12-5, 13-1, 13-3, 13-4, 13-8, 14-2, 14-3, 14-4


b. support identified properties of geometric

figures using deductive reasoning.

SE/TE: 8, 10, 13, 23, 27, 31, 34, 42, 44, 49, 69, 76, 88, 96, 117, 120, 127, 133, 140, 145, 146, 149, 165, 181, 187-188, 194, 199, 200, 201, 218, 236, 239, 243, 377, 380, 391, 463, 482, 489, 538, 559, 602, 613, 614-616, 630, 631, 632, 664, 703, 717, 725, 726, 754, 774, 780, 791, 870








c. select geometric properties to represent and solve problems.

SE/TE: 8, 10, 13, 23, 27, 31, 34, 42, 44, 49, 69, 76, 88, 96, 117, 120, 127, 133, 140, 145, 146, 149, 165, 181, 187-188, 194, 199, 200, 201, 218, 236, 239, 243, 377, 380, 391, 463, 482, 489, 538, 559, 602, 613, 614-616, 630, 631, 632, 664, 703, 717, 725, 726, 754, 774, 780, 791, 870




2.1.9.1. know, use, derive formulas for, and solve problems involving perimeter, circumference, area, volume, lateral area, and surface area of common geometric figures.

SE/TE: 14, 623-625, 631, 685, 847, 857, 787, 870 TR: Practice, Reteaching, Enrichment: 1-2, 11-6,

12-7 TECH: www.phschool.com; iText Online and CD-


Tenth

2.1.10.1. Explore and analyze the properties of triangles.

SE/TE: 4, 271, 765, 781, 787, 788, 789, 793, 794, 795-796, 813, 814, 815, 856

TR: Practice, Reteaching, Enrichment: 1-1, 5-6, 14-1, 14-3, 14-4, 14-5


2.1.10.2. identify congruence and similarity

relationships among triangles

SE/TE: 4, 271, 765, 781, 787, 788, 789, 793, 794, 795-796, 813, 814, 815, 856








Eleventh

2.1.11.1. prove the properties of geometric figures using algebraic and deductive proofs.

SE/TE: 8, 10, 13, 23, 27, 31, 34, 42, 44, 49, 69, 76, 88, 96, 117, 120, 127, 133, 140, 145, 146, 149, 165, 181, 187-188, 194, 199, 200, 201, 218, 236, 239, 243, 377, 380, 391, 463, 482, 489, 538, 559, 602, 613, 614-616, 630, 631, 632, 664, 703, 717, 725, 726, 754, 774, 780, 791, 870



Twelfth

2.1.12.1. investigate and use properties of angles, arcs, chords, tangents, and secants to solve problems.

SE/TE: 704, 705, 706, 707-708, 711, 712, 713-714, 735, 736-737, 749-752, 758, 759, 765, 800-801, 802, 803, 813, 815



2.1.12.2. identify, create, and solve practical

problems involving triangles.

SE/TE: 4, 271, 765, 781, 787, 788, 789, 793, 794, 795-796, 813, 814, 815, 856



2.1.12.3. determine the values of the six

trigonometric functions of angles in standard position.

SE/TE: 706-708, 728-731, 742, 744, 749-751, 758, 759, 769-771, 813








Indicator 2: Analyze geometric figures from a variety of perspectives. 9 - 12 Benchmarks:

a. analyze and apply geometric relationships involving cross-sections and other perspectives of geometric figures.

SE/TE: 14-15, 17, 20, 22, 30, 38, 42-43, 48, 60, 69, 73, 76, 83, 126, 133, 146, 154-155, 186-191, 192, 201, 214, 223, 238, 260, 275, 282, 291, 305, 311-312, 318, 324-325, 343, 350, 356, 366, 372, 377, 389, 391, 396, 399, 404, 405, 418, 436, 480, 590, 592, 593, 598, 613, 703, 717, 739, 740, 754, 783-784, 791, 798, 870

TR: Practice, Reteaching, Enrichment: 1-2, 1-3, 1-4, 1-5, 1-6, 2-1, 2-2, 2-3, 2-4, 3-2, 3-3, 3-5, 3-6, 4-4, 4-5, 4-7, 4-8, 5-1, 5-4, 5-6, 5-7, 5-8, 6-1, 6-2, 6-3, 6-4, 6-7, 7-1, 7-2, 7-3, 7-5, 7-6, 7-7, 8-2, 9-1, 11-1, 11-2, 11-4, 13-1, 13-3, 13-6, 13-8, 14-3, 14-4, 14-5


b. create two-and three-dimensional models

from geometric shapes and objects.

SE/TE: 14-15, 17, 20, 22, 30, 38, 42-43, 48, 60, 69, 73, 76, 83, 126, 133, 146, 154-155, 186-191, 192, 201, 214, 223, 238, 260, 275, 282, 291, 305, 311-312, 318, 324-325, 343, 350, 356, 366, 372, 377, 389, 391, 396, 399, 404, 405, 418, 436, 480, 590, 592, 593, 598, 613, 703, 717, 739, 740, 754, 783-784, 791, 798, 870



c. apply transformations, coordinates, and

vectors in problem solving.

SE/TE: 54, 142-144, 159, 186-187, 188-189, 190-191, 226, 535, 538, 543-545, 549-552, 556-558, 563-564, 570-573, 579, 580-581









2.2.9.1. use proportional reasoning to solve practical problems.

SE/TE: 8, 10, 13, 23, 27, 31, 34, 42, 44, 49, 69, 76, 88, 96, 117, 120, 127, 133, 140, 145, 146, 149, 165, 181, 187-188, 194, 199, 200, 201, 218, 236, 239, 243, 377, 380, 391, 463, 482, 489, 538, 559, 602, 613, 614-616, 630, 631, 632, 664, 703, 717, 725, 726, 754, 774, 780, 791, 870



Tenth

2.2.10.1. select transformations required to map images of objects.

SE/TE: 54, 142-144, 159, 186-187, 188-189, 190-191, 226, 535, 538, 543-545, 549-552, 556-558, 563-564, 570-573, 579, 580-581



Eleventh

2.2.11.1. represent situations using the properties of coordinate geometry to answer pertinent questions.

SE/TE: 54, 142-144, 159, 186-187, 188-189, 190-191, 226, 535, 538, 543-545, 549-552, 556-558, 563-564, 570-573, 579, 580-581



Twelfth

2.2.12.1. use matrices to translate, reflect, rotate, or scale polygonal figures represented on the coordinate plane.

SE/TE: 164-166, 170-171, 173, 177, 178-179, 180-182, 187-191, 195-197, 202-203, 209, 210, 212, 217-220, 225, 226, 227, 550, 570-573, 581






(Continued) 2.2.12.1. use matrices to translate, reflect,

rotate, or scale polygonal figures represented on the coordinate plane.


3, 4-4, 4-5, 4-6, 4-7, 4-8, 10-3, 10-6 TECH: www.phschool.com; iText Online and CD-


GOAL 3 – MEASUREMENT Students will apply systems of measurement and use appropriate measurement tools to describe and analyze the world around them. Indicator 1: Use various units of measure within a system of measurement. 9 - 12 Benchmarks:

a. determine the referents used in relating different scales.


b. justify the appropriateness of a scale selected

for measurement situations.


c. create scales with referents that fit unique

measurement situations.



3.1.9.1. develop units or combinations of units for a given situation or application.

SE/TE: 243, 309, 354, 509, 595, 602, 629, 630, 648-649, 657, 688, 706, 707-708, 714, 735, 757, 759, 858, 860



Tenth

3.1.10.1. derive and use formulas for solving problems involving measurements.

SE/TE: 19, 25, 64, 243, 285-289, 295, 309, 433-434, 453-454, 509, 590, 595, 599, 601, 602, 608, 614, 616, 629, 630, 643, 648-649, 657, 665, 673, 687, 688, 706, 707-708, 713, 714, 735






(Continued) 3.1.10.1. derive and use formulas for solving

problems involving measurements.

(Continued) SE/TE: 757, 759, 788, 794, 846, 848, 858, 860, 865-

870 TR: Practice, Reteaching, Enrichment: 1-3, 2-2, 5-

2, 5-8, 6-2, 8-2, 8-5, 9-5, 11-1, 11-2, 11-3, 11-4, 11-5, 12-2, 12-3, 12-4, 12-5, 12-6, 13-2, 13-3, 13-6, 14-4, 14-5


3.1.10.2. use quotient measures and relate

them to slope, e.g., speed, density.

SE/TE: 64-67, 108, 425, 446-447, 469, 471 TR: Practice, Reteaching, Enrichment: 2-2, 8-1, 8-

4 TECH: www.phschool.com; iText Online and CD-


Eleventh

3.1.11.1. use dimensional analysis to check answers and determine units of a problem solution.

SE/TE: 69, 83, 96, 108, 140, 175, 199, 243, 309, 344, 354, 496, 509, 595, 602, 623, 629, 630, 636-639, 648-649, 651, 652, 656-660, 663, 665-666, 670, 671-672, 673, 674, 678-680, 688, 689, 706, 707-708, 714, 735, 757, 759, 857, 858, 860

TR: Practice, Reteaching, Enrichment: 2-2, 2-4, 2-6, 3-4, 4-2, 4-5, 5-2, 6-2, 6-7, 9-3, 9-5, 11-2, 11-6, 12-1, 12-3, 12-4, 12-5, 12-6, 12-7, 13-2, 13-3, 13-6


3.1.11.2. explain the relationships between

linear, square, and cubic measures and describe how changes in one of the measures of an object affect the others.




Twelfth

3.1.12.1. create tools or application processes to extend the physical senses in problem situations that defy direct measurement.


4 TECH: www.phschool.com






(Continued) 3.1.12.1. create tools or application processes

to extend the physical senses in problem situations that defy direct measurement.

(Continued) TECH: iText Online and CD-ROM; Resource Pro

with Planning Express CD-ROM; Computer Test Generator CD-ROM; Prentice Hall Presentation Pro

Indicator 2: Apply measurement concepts in practical applications. 9 - 12 Benchmarks:

a. determine the measurement tools necessary to achieve indicated degree of accuracy or precision.

SE/TE: 17, 30, 64-67, 76, 108, 146, 154, 167, 168, 200, 238, 246, 260, 290, 318, 326, 333, 350, 372, 377, 383, 425, 442, 446-447, 449, 458, 469, 471, 502, 508, 524, 553, 560, 574, 596, 618, 628, 653, 661, 701, 717, 727, 746, 747, 774, 775

TR: Practice, Reteaching, Enrichment: 1-2, 1-4, 2-2, 2-3, 3-5, 3-6, 4-1, 4-5, 5-1, 5-2, 5-4, 5-8, 6-3, 6-4, 6-5, 6-8, 7-2, 7-3, 7-4, 8-1, 8-3, 8-4, 8-5, 9-4, 9-5, 9-7, 10-3, 10-4, 10-6, 11-2, 11-5, 12-3, 12-4, 13-1, 13-3, 13-4, 13-7, 14-2


b. develop mathematical techniques to provide

indirect measurements in problematic measurement situations.




c. determine and use the most appropriate units

for measurement situations.





3.2.9.1. solve measurement problems involving perimeter, area, volume and mass of irregularly-shaped objects.

SE/TE: 14, 623-625, 631, 685, 847, 857, 787, 870 TR: Practice, Reteaching, Enrichment: 1-2, 11-6,


ROM






(Continued) 3.2.9.1. solve measurement problems

involving perimeter, area, volume and mass of irregularly-shaped objects.

(Continued) TECH: Resource Pro with Planning Express CD-

ROM; Computer Test Generator CD-ROM; Prentice Hall Presentation Pro

Tenth

3.2.10.1. identify the structural parts and characteristics of objects to answer questions about them, e.g., a penny can be seen as a cylinder with a small height so its volume is V=Pr2h.

SE/TE: 14-15, 17, 20, 22, 30, 38, 42-43, 48, 60, 69, 73, 76, 83, 126, 133, 146, 154-155, 186-191, 192, 201, 214, 223, 238, 260, 275, 282, 291, 305, 311-312, 318, 324-325, 343, 350, 356, 366, 372, 377, 389, 391, 396, 399, 404, 405, 418, 436, 480, 590, 592, 593, 598, 613, 703, 717, 739, 740, 754, 783-784, 791, 798, 870



Eleventh

3.2.11.1. use the concept of significant digits in giving answers to an appropriate degree of accuracy.

SE/TE: 17, 30, 64-67, 76, 108, 146, 154, 167, 168, 200, 238, 246, 260, 290, 318, 326, 333, 350, 372, 377, 383, 425, 442, 446-447, 449, 458, 469, 471, 502, 508, 524, 553, 560, 574, 596, 618, 628, 653, 661, 701, 717, 727, 746, 747, 774, 775



Twelfth

3.2.12.1. analyze specific measurement situations to determine necessary degree of accuracy

SE/TE: 17, 30, 64-67, 76, 108, 146, 154, 167, 168, 200, 238, 246, 260, 290, 318, 326, 333, 350, 372, 377, 383, 425, 442, 446-447, 449, 458, 469, 471, 502, 508, 524, 553, 560, 574, 596, 618, 628, 653, 661, 701, 717, 727, 746, 747






(Continued) 3.2.12.1. analyze specific measurement

situations to determine necessary degree of accuracy

(Continued) SE/TE: 774, 775 TR: Practice, Reteaching, Enrichment: 1-2, 1-4, 2-

2, 2-3, 3-5, 3-6, 4-1, 4-5, 5-1, 5-2, 5-4, 5-8, 6-3, 6-4, 6-5, 6-8, 7-2, 7-3, 7-4, 8-1, 8-3, 8-4, 8-5, 9-4, 9-5, 9-7, 10-3, 10-4, 10-6, 11-2, 11-5, 12-3, 12-4, 13-1, 13-3, 13-4, 13-7, 14-2


3.2.12.2. use appropriate processes to improve

accuracy or minimize error in measurement situations.

SE/TE: 17, 30, 64-67, 76, 108, 146, 154, 167, 168, 200, 238, 246, 260, 290, 318, 326, 333, 350, 372, 377, 383, 425, 442, 446-447, 449, 458, 469, 471, 502, 508, 524, 553, 560, 574, 596, 618, 628, 653, 661, 701, 717, 727, 746, 747, 774, 775



GOAL 4 - NUMBER SENSE Students will develop and use number sense to investigate the characteristics of numbers in a variety of forms and modes of operation. Indicator 1: Analyze the structural characteristics of the real number system and its various subsystems. 9 - 12 Benchmarks:

a. describe the structure of the real number system and identify its appropriate applications and limitations.

SE/TE: 5-8, 13, 47, 271 TR: Practice, Reteaching, Enrichment: 1-1, 1-2, 5-



b. construct physical representations of various

number concepts.

SE/TE: 14-15, 17, 20, 22, 30, 38, 42-43, 48, 60, 69, 73, 76, 83, 126, 133, 146, 154-155, 186-191, 192, 201, 214, 223, 238, 260, 275, 282, 291, 305, 311-312, 318, 324-325, 343, 350, 356, 366, 372, 377, 389, 391, 396, 399, 404, 405, 418, 436, 480, 590, 592, 593, 598, 613, 703, 717, 739, 740, 754, 783-784, 791, 798, 870






(Continued) b. construct physical representations of various

number concepts.


4, 1-5, 1-6, 2-1, 2-2, 2-3, 2-4, 3-2, 3-3, 3-5, 3-6, 4-4, 4-5, 4-7, 4-8, 5-1, 5-4, 5-6, 5-7, 5-8, 6-1, 6-2, 6-3, 6-4, 6-7, 7-1, 7-2, 7-3, 7-5, 7-6, 7-7, 8-2, 9-1, 11-1, 11-2, 11-4, 13-1, 13-3, 13-6, 13-8, 14-3, 14-4, 14-5


c. analyze the real number system to identify

connections between various subsystems and determine the logical extensions.

SE/TE: 8, 10, 13, 23, 27, 31, 34, 42, 44, 49, 69, 76, 88, 96, 117, 120, 127, 133, 140, 145, 146, 149, 165, 181, 187-188, 194, 199, 200, 201, 218, 236, 239, 243, 377, 380, 391, 463, 482, 489, 538, 559, 602, 613, 614-616, 630, 631, 632, 664, 703, 717, 725, 726, 754, 774, 780, 791, 870




4.1.9.1. apply properties and axioms of the real number system to various subsets, e.g., axioms of order.

SE/TE: 5, 13, 18, 26, 47, 171, 179, 182, 249, 259, 262, 368-369, 370, 446-447, 452, 471, 520, 521, 643, 730, 801, 802, 807, 808, 815, 845



Tenth

4.1.10.1. Understand that real numbers can be represented in a variety of forms, e.g., integers, fractions, decimals, percents, scientific notation, exponents, radicals, absolute value.

SE/TE: 5-8, 12, 13, 33-34, 35-36, 47, 49, 86-88, 101-102, 109, 131, 271, 295, 362, 363, 375-376, 379-380, 381, 385-388, 408-411, 416, 417, 506-507, 842, 843, 845, 850, 852, 854

TR: Practice, Reteaching, Enrichment: 1-1, 1-2






(Continued) 4.1.10.1. Understand that real numbers can be

represented in a variety of forms, e.g., integers, fractions, decimals, percents, scientific notation, exponents, radicals, absolute value.


7, 3-3, 5-6, 7-1, 7-3, 7-4, 7-5, 7-8, 9-5 TECH: www.phschool.com; iText Online and CD-


Eleventh

4.1.11.1. describe the structure of the real number system and related subsets.

SE/TE: 5-8, 12, 13, 18, 26, 33-34, 35-36, 47, 48, 86-88, 101-102, 109, 131, 171, 179, 182, 249, 259, 262, 271, 295, 362, 363, 368-369, 370, 375-376, 379-380, 381, 385-388, 408-411, 416, 417, 446-447, 452, 471, 506-507, 520, 521, 643, 730, 801, 802, 807, 808, 815, 842, 843, 845, 850, 852, 854

TR: Practice, Reteaching, Enrichment: 1-1, 1-2, 1-3, 1-4, 1-5, 2-5, 2-7, 3-3, 4-2, 4-3, 5-3, 5-4, 5-6, 7-1, 7-2, 7-3, 7-4, 7-5, 7-8, 8-4, 9-5, 9-7, 12-2, 13-5, 14-6, 14-7


Twelfth

4.1.12.1. Recognize the number e and use it in appropriate situations

SE/TE: 433-434, 462-464, 471 TR: Practice, Reteaching, Enrichment: 8-2, 8-6 TECH: www.phschool.com; iText Online and CD-


Indicator 2: Apply number operations with real numbers and other number systems. 9 - 12 Benchmarks:

a. analyze algorithms which extend operations within the real number system.

SE/TE: 5, 13, 18, 26, 47, 171, 179, 182, 249, 259, 262, 368-369, 370, 446-447, 452, 471, 520, 521, 643, 730, 801, 802, 807, 808, 815, 845








b. use numbers in a variety of equivalent forms to solve problems.

SE/TE: 125, 150, 158 TR: Practice, Reteaching, Enrichment: 3-2, 3-6 TECH: www.phschool.com; iText Online and CD-


c. analyze relationships between roots and

exponents.

SE/TE: 4, 12, 262, 264, 270, 321, 322-324, 328, 329-330, 335-337, 354, 355, 362, 363, 364, 365, 379-382, 410, 415, 416, 424-426, 453-454, 455, 469, 852, 862

TR: Practice, Reteaching, Enrichment: 1-1, 1-2, 5-4, 5-5, 5-6, 6-4, 6-5, 6-6, 7-1, 7-4, 7-8, 8-1, 8-5



4.2.9.1. evaluate algebraic expressions.

SE/TE: 12-13, 48, 234, 255-259, 363-365, 368-371, 374-376, 416, 438-440, 446-448, 471, 499-501, 504-507, 528, 766, 859



Tenth

4.2.10.1. add, subtract, multiply, and divide real numbers including roots and exponents using appropriate computational strategies, e.g., mental mathematics, paper and pencil, calculator.

SE/TE: 4, 12, 39, 40, 85, 87, 141, 177, 183, 203, 240, 262, 264, 265, 270, 277, 300, 302, 321, 322-324, 328, 329-330, 335-337, 339, 354, 355, 362, 363, 364, 365, 379-382, 407, 410, 415, 416, 424-426, 430, 452, 453-454, 455, 457, 461, 469, 492, 519, 539, 542, 555, 600, 622, 625, 649, 651, 706, 711, 728, 778, 804, 852, 862

TR: Practice, Reteaching, Enrichment: 1-1, 1-2, 1-6, 2-4, 2-5, 3-4, 4-2, 4-3, 4-6, 5-1, 5-4, 5-5, 5-6, 6-1, 6-4, 6-5, 6-6, 6-7, 7-1, 7-4, 7-7, 7-8, 8-1, 8-4, 8-5, 9-7, 10-1, 10-3, 11-3, 11-5, 11-6, 12-3, 13-2, 13-4, 14-3, 14-6

TECH: www.phschool.com; iText Online and CD-ROM; Resource Pro with Planning Express CD-ROM






(Continued) 4.2.10.1. add, subtract, multiply, and divide

real numbers including roots and exponents using appropriate computational strategies, e.g., mental mathematics, paper and pencil, calculator.

(Continued) TECH: Computer Test Generator CD-ROM; Prentice

Hall Presentation Pro

Eleventh

4.2.11.1. add, subtract, multiply, and divide real numbers including roots and exponents using appropriate computational strategies, e.g., mental mathematics, paper and pencil, calculator.

SE/TE: 4, 12, 39, 40, 85, 87, 141, 177, 183, 203, 240, 262, 264, 265, 270, 277, 300, 302, 321, 322-324, 328, 329-330, 335-337, 339, 354, 355, 362, 363, 364, 365, 379-382, 407, 410, 415, 416, 424-426, 430, 452, 453-454, 455, 457, 461, 469, 492, 519, 539, 542, 555, 600, 622, 625, 649, 651, 706, 711, 728, 778, 804, 852, 862

TR: Practice, Reteaching, Enrichment: 1-1, 1-2, 1-6, 2-4, 2-5, 3-4, 4-2, 4-3, 4-6, 5-1, 5-4, 5-5, 5-6, 6-1, 6-4, 6-5, 6-6, 6-7, 7-1, 7-4, 7-7, 7-8, 8-1, 8-4, 8-5, 9-7, 10-1, 10-3, 11-3, 11-5, 11-6, 12-3, 13-2, 13-4, 14-3, 14-6


Twelfth

4.2.12.1. analyze and describe fractional exponents, e.g., 103/4

SE/TE: 4, 12, 262, 264, 270, 321, 322-324, 328, 329-330, 335-337, 354, 355, 362, 363, 364, 365, 379-382, 410, 415, 416, 424-426, 453-454, 455, 469, 852, 862



4.2.12.2. add, subtract, multiply, divide, and

simplify expressions containing fractional exponents.

SE/TE: 4, 12, 13-14, 48, 262, 264, 270, 321, 322-324, 328, 329-330, 335-337, 354, 355, 362, 363, 364, 365, 379-382, 410, 415, 416, 424-426, 453-454, 455, 469, 852, 862


TECH: www.phschool.com; iText Online and CD-ROM






(Continued) 4.2.12.2. add, subtract, multiply, divide, and

simplify expressions containing fractional exponents.



Indicator 3: Develop conjectures, predictions, or estimations to solve problems and verify or justify the results. 9 - 12 Benchmarks:

a. develop, test, and explain conjectures using properties of a number system.

SE/TE: 186, 201, 277, 313, 334, 413, 446, 462, 467, 559, 599, 613, 705, 755, 764



b. justify the process used for solving problems.

SE/TE: 20-21, 352, 588, 836, 838, 839, 840, 841 TR: Practice, Reteaching, Enrichment: 1-3, 11-1 TECH: www.phschool.com; iText Online and CD-


c. justify the reasonableness of the solution for

any method of calculation.

SE/TE: 17, 30, 76, 146, 154, 167, 168, 186, 200, 201, 238, 246, 260, 277, 290, 313, 318, 326, 333, 334, 350, 372, 377, 383, 413, 442, 446, 449, 458, 462, 467, 502, 508, 524, 553, 559, 560, 574, 596, 599, 613, 618, 628, 653, 661, 701, 717, 727, 746, 747, 755, 764, 774, 775




4.3.9.1. use estimation strategies in complex situations to predict results and to check the reasonableness of results.

SE/TE: 17, 30, 76, 146, 154, 167, 168, 200, 238, 246, 260, 290, 318, 326, 333, 350, 372, 377, 383, 442, 449, 458, 502, 508, 524, 553, 560, 574, 596, 618, 628, 653, 661, 701, 717, 727, 746






(Continued) 4.3.9.1. use estimation strategies in complex

situations to predict results and to check the reasonableness of results.

(Continued) SE/TE: 747, 774, 775 TR: Practice, Reteaching, Enrichment: 1-2, 1-4, 2-

3, 3-5, 3-6, 4-1, 4-5, 5-1, 5-2, 5-4, 5-8, 6-2, 6-3, 6-4, 6-5, 6-8, 7-2, 7-4, 7-8, 8-3, 8-4, 8-5, 8-6, 9-4, 9-7, 10-3, 10-4, 10-6, 11-2, 11-4, 11-5, 12-3, 12-4, 13-1, 13-3, 13-4, 13-7, 14-1


Tenth

4.3.10.1. select and justify alternative strategies, e.g., use properties of numbers that allow operational shortcuts for computational procedures.

SE/TE: 5, 13, 18, 26, 47, 171, 179, 182, 249, 259, 262, 368-369, 370, 446-447, 452, 471, 520, 521, 643, 730, 801, 802, 807, 808, 815, 845



Eleventh

4.3.11.1. apply properties of arithmetic and geometric sequences and series to solve problems, e.g., write the first n terms, find the nth term, evaluate summation formulas.

SE/TE: 339, 355, 363-364, 588, 589, 590, 594-595, 600-602, 607-609, 614-615, 616, 630



Twelfth

4.3.12.1. use logic strategies to develop and defend mathematical arguments.

SE/TE: 8, 10, 13, 23, 27, 31, 34, 42, 44, 49, 69, 76, 88, 96, 117, 120, 127, 133, 140, 145, 146, 149, 165, 181, 187-188, 194, 199, 200, 201, 218, 236, 239, 243, 377, 380, 391, 463, 482, 489, 538, 559, 602, 613, 614-616, 630, 631, 632, 664, 703, 717, 725, 726, 754, 774, 780, 791, 870


TECH: www.phschool.com






(Continued) 4.3.12.1. use logic strategies to develop and

defend mathematical arguments.

(Continued) TECH: iText Online and CD-ROM; Resource Pro

with Planning Express CD-ROM; Computer Test Generator CD-ROM; Prentice Hall Presentation Pro

Indicator 4: Analyze the concept of value, magnitude, and relative magnitude of real numbers. 9 - 12 Benchmarks:

a. express extremely large or extremely small numbers using appropriate notation.

SE/TE: 5-6, 40, 43, 58, 107, 270-273, 331, 332, 339, 355, 363-364, 402-408, 609, 630, 639, 854, 864



b. analyze the effect of operations on extremely

large or extremely small numbers.

SE/TE: 5-6, 40, 43, 58, 107, 270-273, 331, 332, 339, 355, 363-364, 402-408, 609, 630, 639, 854, 864



c. create generalizations discovered through

investigations of finite and infinite sets of numbers.

SE/TE: 5-6, 40, 43, 58, 107, 208-209, 270-273, 331, 332, 339, 355, 363-364, 402-408, 609, 613, 615-616, 630, 631, 639, 854, 864

TR: Practice, Reteaching, Enrichment: 1-1, 1-6, 2-1, 4-6, 5-6, 6-5, 8-7, 7-1, 7-7, 11-4, 11-5, 12-1



4.4.9.1. understand the relative size of sets of rational numbers and irrational numbers.

SE/TE: 5-6, 40, 43, 58, 107, 208-209, 270-273, 331, 332, 339, 355, 363-364, 402-408, 609, 613, 615-616, 630, 631, 639, 854, 864

TR: Practice, Reteaching, Enrichment: 1-1, 1-6, 2-1, 4-6, 5-6, 6-5, 8-7, 7-1, 7-7, 11-4, 11-5, 12-1







(Continued) 4.4.9.1. understand the relative size of sets of

rational numbers and irrational numbers.



Tenth

4.4.10.1. apply operations to numbers expressed in scientific notation.

SE/TE: 54-56, 58, 107, 142, 159, 339, 355, 402-403, 609, 630, 845



Eleventh

4.4.11.1. extend patterns of growth to make predictions.

SE/TE: 79-80, 108, 186, 201, 277, 313, 334, 413, 422-425, 446, 469, 539, 562, 567, 588, 590, 594-595, 599, 600-602, 607-608, 613, 629, 630, 705, 755, 764, 778

TR: Practice, Reteaching, Enrichment: 2-4, 4-3, 4-5, 5-6, 6-2, 6-5, 7-8, 8-1, 8-4, 10-1, 10-5, 11-1, 11-2, 11-3, 11-4, 13-2, 13-8, 14-1, 14-3


Twelfth

4.4.12.1. understand and use basic concepts of infinity and limits.

SE/TE: 609, 613, 615-616, 630, 631 TR: Practice, Reteaching, Enrichment: 11-4, 11-5 TECH: www.phschool.com; iText Online and CD-


4.4.12.2. describe impact of powers on

products and quotients.

SE/TE: 12-13, 362, 379-382, 386-387, 416, 424-426, 431-432, 453-454, 455, 469, 852








GOAL 5 - PATTERNS, RELATIONS, AND FUNCTIONS Students will discover, analyze, extend, and create patterns, relations, or functions to model mathematical ideas in a variety of forms. Indicator 1: Analyze and describe the properties and behaviors of relations, functions, and their inverses. 9 - 12 Benchmarks:

a. analyze the relationship between dependent and independent variables.

SE/TE: 12, 62, 292 TR: Practice, Reteaching, Enrichment: 1-2, 2-2 TECH: www.phschool.com; iText Online and CD-


b. analyze the effects of change in coefficients

on the graphs of functions or relations.

SE/TE: 13, 210, 212, 227, 347-349, 355 TR: Practice, Reteaching, Enrichment: 1-2, 4-7, 6-



c. interpret and describe general properties and

behaviors of a function operating on another function.

SE/TE: 57, 58, 62, 86-88, 91, 107, 109, 234-236, 241-243, 248-251, 280-281, 300-303, 306, 309-310, 317, 335-337, 354, 392, 393-394, 399, 400-403, 407, 408-414, 417, 422-426, 430-434, 440-441, 462-464, 469, 484, 491-495, 706-708, 720-724, 728-731, 735-737, 742-746, 749-751, 758, 759

TR: Practice, Reteaching, Enrichment: 2-1, 2-2, 2-5, 2-6, 5-1, 5-2, 5-3, 5-7, 6-1, 6-2, 6-3, 6-6, 7-6, 7-8, 8-1, 8-2, 8-3, 8-6, 9-1, 9-2, 9-3, 13-2, 13-4, 13-5, 13-6, 13-7, 13-8



5.1.9.1. use various representations of functions (e.g., graphs, tables, symbolic forms) to interpret linear functions.

SE/TE: 57, 58, 62, 86-88, 91, 107, 108, 109, 280-281, 234-236, 241-243, 248-251, 300-303, 306, 309-310, 317, 335-337, 354, 392, 393-394, 399, 400-403, 407, 408-414, 417, 422-426, 430-434, 440-441, 461, 462-464, 469, 484, 491-495, 706-708, 720-724, 728-731, 735-737, 742-746, 749-751, 758, 759







(Continued) 5.1.9.1. use various representations of

functions (e.g., graphs, tables, symbolic forms) to interpret linear functions.


1, 5-2, 5-3, 5-7, 6-1, 6-2, 6-3, 6-6, 7-6, 7-8, 8-1, 8-2, 8-3, 8-6, 9-1, 9-2, 9-3, 13-2, 13-4, 13-5, 13-6, 13-7, 13-8


Tenth

5.1.10.1. Demonstrate and explain the effect that changing coefficients and/or constants has on the graph of a linear function.

SE/TE: 12, 13, 62, 64-67, 108, 210, 212, 227, 292, 347-349, 355, 461



Eleventh

5.1.11.1. analyze relations to determine whether a direct or inverse variation exists.

SE/TE: 72-74, 478-480, 485-487, 527, 528 TR: Practice, Reteaching, Enrichment: 2-3, 9-1, 9-



5.1.11.2. apply transformations to the graph of

a basic function and predict and analyze the results.

SE/TE: 186-191, 192, 226 TR: Practice, Reteaching, Enrichment: 4-4 TECH: www.phschool.com; iText Online and CD-


Twelfth

5.1.12.1. determine the domain, range, zeros, y-intercepts, end behavior, relative maximum and minimum points, and symmetry of functions.

SE/TE: 56, 63, 107, 141, 144, 171, 242, 263, 264-265, 294, 306, 309-310, 335-337, 354, 657, 688



5.1.12.2. Determine the restrictions that must be placed on the domain and range of a relation for it to be a function.

SE/TE: 56, 63, 107, 141, 144, 171, 242, 263, 264-265, 294, 306, 309-310, 335-337, 354, 657, 688







(Continued) 5.1.12.2. Determine the restrictions that must

be placed on the domain and range of a relation for it to be a function.




5.1.12.3. use a graph of a function to find the

graph of the inverse function.

SE/TE: 71, 86, 87, 109, 235, 241-243, 249-250, 300, 306, 407, 409, 410, 422, 425, 431-432, 440-441, 484, 494-495, 528, 721-724, 728, 729-730, 742-744, 751-752



5.1.12.4. create geometric and numerical

patterns that model relations and/or functions.

SE/TE: 71, 86, 87, 109, 235, 241-243, 249-250, 300, 306, 407, 409, 410, 422, 425, 431-432, 440-441, 484, 494-495, 528, 721-724, 728, 729-730, 742-744, 751-752



Indicator 2: Apply relations and functions to complex problem-solving situations. 9 - 12 Benchmarks:

a. analyze and compare linear, exponential, logarithmic and/or trigonometric models of phenomena.

SE/TE: 78-80, 85, 108, 236, 240, 302, 308, 513-514, 545, 551, 724



b. apply models to produce potential solution

strategies for increasingly difficult problems.

SE/TE: 78-80, 85, 108, 236, 240, 302, 308, 513-514, 545, 551, 724








(Continued) b. apply models to produce potential solution

strategies for increasingly difficult problems.



c. describe and evaluate the attributes of

various solution strategies.

SE/TE: 20-21, 78-80, 85, 108, 236, 240, 302, 308, 352, 513-514, 545, 551, 588, 724, 836, 838, 839, 840




5.2.9.1. identify natural phenomena that are cyclical.

SE/TE: 697, 722, 730, 735-736, 757 TR: Practice, Reteaching, Enrichment: 13-1, 13-4,



Tenth

5.2.10.1. Compare, contrast, and extend arithmetic and geometric patterns of growth and use them to make predictions.

SE/TE: 78-80, 108, 422, 469 TR: Practice, Reteaching, Enrichment: 2-4, 8-1 TECH: www.phschool.com; iText Online and CD-


Eleventh

5.2.11.1. apply special number relationships, e.g., sequences and series to real-world problems

SE/TE: 29, 43, 423, 426, 427, 457, 522, 589, 590, 594-595, 599, 600-602, 607-609, 614-615, 616, 622, 629, 630, 673, 675, 683, 692-693








5.2.11.2. determine which type of function best models a situation, write an equation, and use this equation to answer questions about the situation.

SE/TE: 71, 86, 87, 109, 235, 241-243, 249-250, 300, 306, 407, 409, 410, 422, 425, 431-432, 440-441, 484, 494-495, 528, 721-724, 728, 729-730, 742-744, 751-752



5.2.11.3. identify and use laws of logarithms to

simplify expressions and solve equations involving logarithms and exponents.

SE/TE: 13-14, 48, 424, 438-440, 446, 447, 453-454, 455, 456, 462-464, 470, 471



Twelfth

5.2.12.1. analyze the relationship between exponential and logarithmic functions.

SE/TE: 422-426, 430-434, 440-441, 462-464, 469, 471



5.2.12.2. graph various parametric polar

equations.

SE/TE: 122, 407, 555, 777 TR: Practice, Reteaching, Enrichment: 3-1, 7-7,



5.2.12.3. determine and use recursive formulas

to express iterative patterns of change including those of exponential growth and DOEy.

SE/TE: 590, 595, 599, 601, 629 TR: Practice, Reteaching, Enrichment: 11-1, 11-2,








GOAL 6 - STATISTICS & PROBABILITY Students will apply statistical methods to analyze data and explore probability for making decisions and predictions. Indicator 1: Use various statistical models to gather data, study problems, and draw conclusions. 9 - 12 Benchmarks:

a. determine appropriate sampling techniques for specific investigations.

SE/TE: 41, 663, 664, 665-666, 670, 689 TR: Practice, Reteaching, Enrichment: 1-6, 12-5 TECH: www.phschool.com; iText Online and CD-


b. analyze the impact of variability of data on

measures of central tendency.

SE/TE: 243, 509, 595, 602, 629, 630, 648, 649, 657, 688, 858, 860



c. support conclusions and make decisions

based on graphic and/or algebraic models of data.

SE/TE: 69, 78-80, 83, 85, 96, 108, 140, 175, 199, 236, 240, 302, 308, 344, 496, 513-514, 545, 551, 623, 636-639, 648-649, 650-652, 656, 665-666, 671-672, 673-674, 688, 689, 724, 857

TR: Practice, Reteaching, Enrichment: 2-2, 2-4, 2-6, 3-4, 4-2, 4-5, 5-1, 6-1, 6-2, 6-7, 9-3, 9-6, 10-2, 10-3, 11-6, 12-1, 12-3, 12-4, 12-5, 12-6



6.1.9.1. create, implement, and defend a plan for gathering data to answer relevant questions.

SE/TE: 41, 164-166, 445, 663, 664, 665-666, 670, 689 TR: Practice, Reteaching, Enrichment: 1-6, 4-1, 8-








Tenth

6.1.10.1. demonstrate how statistical analysis can quantify variability.

SE/TE: 69, 78-80, 83, 85, 96, 108, 140, 175, 199, 236, 240, 302, 308, 344, 496, 513-514, 545, 551, 623, 636-639, 648-649, 650-652, 656, 665-666, 671-672, 673-674, 688, 689, 724, 857



Eleventh

6.1.11.1. analyze and evaluate bias in surveys and experiments.

SE/TE: 12, 41, 62, 210, 227, 292, 663, 664, 665-666, 670, 689



6.1.11.2. compare multiple one-variable data

sets, using statistical techniques including measures of central tendency and dispersion.

SE/TE: 12, 41, 62, 210, 227, 243, 292, 509, 595, 602, 629, 630, 648, 649, 657, 663, 664, 665-666, 671, 688, 689, 858, 860



Twelfth

6.1.12.1. calculate measures of central tendency and dispersion for complex sets of data.

SE/TE: 12, 41, 62, 210, 227, 243, 292, 509, 595, 602, 629, 630, 648, 649, 657, 663, 664, 665-666, 671, 688, 689, 858, 860



6.1.12.2. describe the normal curve and its

characteristics.

SE/TE: 80, 236, 240, 302, 430, 623-625, 631, 636-638, 679-680, 685, 689, 721, 722, 777







(Continued) 6.1.12.2. describe the normal curve and its

characteristics.

(Continued) TECH: www.phschool.com; iText Online and CD-


6.1.12.3. use scatterplots, regression lines, and

correlation coefficients to model data and support conclusions.

SE/TE: 62-63, 69, 78-80, 83, 85, 96, 108, 140, 175, 199, 236, 240, 302, 308, 344, 496, 513-514, 545, 551, 623, 636-639, 648-649, 650-652, 656, 665-666, 671-672, 673-674, 688, 689, 724, 851, 857



Indicator 2: Apply the laws of probability to predict outcomes and solve problems. 9 - 12 Benchmarks:

a. use theoretical probability models to determine outcomes of chance events.

SE/TE: 41-42, 49, 519-520, 529, 678, 680 TR: Practice, Reteaching, Enrichment: 1-6, 9-7,



b. develop convincing arguments and

inferences supported by simulations.

SE/TE: 40, 49, 69, 78-80, 83, 85, 96, 108, 140, 175, 186, 199, 201, 236, 240, 277, 302, 308, 313, 334, 344, 413, 446, 496, 513-514, 539, 545, 551, 562, 567, 599, 613, 623, 636-639, 648-649, 650-652, 656, 665-666, 671-672, 673-674, 688, 689, 705, 724, 755, 764, 778, 857

TR: Practice, Reteaching, Enrichment: 1-6, 2-2, 2-4, 2-6, 3-4, 4-2, 4-3, 4-5, 5-1, 5-6, 6-1, 6-2, 6-5, 6-7, 7-8, 8-4, 9-3, 9-6, 10-1, 10-2, 10-3, 10-5, 11-2, 11-4, 11-6, 12-1, 12-3, 12-4, 12-5, 12-6, 13-2, 13-4, 13-8, 14-1, 14-3


c. analyze the accuracy of probabilistic models.

SE/TE: 39-40, 41, 42, 49, 349, 355, 519-522, 636, 637-639, 642-644, 647, 671-673, 674, 679-680, 685, 687, 689






(Continued) c. analyze the accuracy of probabilistic models.





6.2.9.1. determine the probability of compound, complementary, independent, and dependent events.

SE/TE: 39-40, 41, 42, 49, 349, 355, 519-522, 636, 637-639, 642-644, 647, 671-673, 674, 679-680, 685, 687, 689



6.2.9.2. determine probabilities using

counting procedures, tables, tree diagrams.

SE/TE: 39-40, 41, 42, 49, 339, 340-341, 348-349, 355, 445, 519-522, 636, 637-639, 642-644, 647, 671-673, 674, 679-680, 685, 687, 689, 860, 861, 862, 863, 864



Tenth

6.2.10.1. determine probability using given graphs of distributions or table of outcomes.

SE/TE: 39-40, 41, 42, 49, 349, 355, 519-522, 636, 637-639, 642-644, 647, 671-673, 674, 679-680, 685, 687, 689



Eleventh

6.2.11.1. determine probability of compound, complementary, independent, and dependent events.

SE/TE: 39-40, 41, 42, 49, 349, 355, 519-522, 636, 637-639, 642-644, 647, 671-673, 674, 679-680, 685, 687, 689






(Continued) 6.2.11.1. determine probability of compound,

complementary, independent, and dependent events.




6.2.11.2. design and implement simulations to

estimate probabilities of events.

SE/TE: 39-40, 41, 42, 49, 349, 355, 519-522, 636, 637-639, 642-644, 647, 671-673, 674, 679-680, 685, 687, 689



6.2.11.3. Determine whether experimental or

theoretical methods were used to calculate a particular probability.

SE/TE: 39-40, 41, 42, 49, 349, 355, 519-522, 636, 637-639, 642-644, 647, 671-673, 674, 679-680, 685, 687, 689



Twelfth

6.2.12.1. evaluate effectiveness and accuracy of the model in respect to the theoretical probability.

SE/TE: 39-40, 41, 42, 49, 349, 355, 519-522, 636, 637-639, 642-644, 647, 671-673, 674, 679-680, 685, 687, 689



6.2.12.2. use combinations, permutations, and

probabilities to solve problems.

SE/TE: 39-40, 41, 42, 49, 339, 340-341, 348-349, 355, 480, 519-522, 527, 636, 637-639, 642-644, 647, 671-673, 674, 679-680, 685, 687, 689



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