South Carolina High School Core-Area Standards ...

[Pages:6]Indicators Standard IA-1 IA-1.1 IA-1.2 IA-1.3 IA-1.4 IA-1.5

IA-1.6 IA-1.7

Holt McDougal Larson Algebra 2 ? 2012 Common Core Edition

correlated to the

South Carolina High School Core-Area Standards Intermediate Algebra

Descriptor

Page Citations

The student will understand and utilize the mathematical processes of problem solving, reasoning and proof,

communication, connections, and representation.

Communicate a knowledge of algebraic relationships SE: 1, 76, 87, 154, 165, 218, 227, 291, 301, 367, 377, 424, 433,

by using mathematical terminology appropriately.

480, 489, 545, 555, 602, 611, 669

Connect algebra with other branches of mathematics. SE: 86, 164, 226, 300, 376, 432, 488, 554, 610

Apply algebraic methods to solve problems in real-

SE: 1, 87, 165, 227, 301, 377, 433, 489, 555, 611

world contexts.

Judge the reasonableness of mathematical solutions. SE: 21, 33, 51, 58, 59, 120, 131, 139, 192, 204, 206, 207, 214,

220, 269, 270, 347, 535, 580, 635, 638, 662

Demonstrate an understanding of algebraic

SE: 6, 22, 29, 36, 40, 46, 47, 55, 62, 63, 70, 74, 92, 102, 107, 115,

relationships by using a variety of representations

124, 127, 133, 148, 152, 170, 175, 188, 194, 202, 208, 216,

(including verbal, graphic, numerical, and symbolic).

233, 239, 248, 255, 257, 258, 262, 263, 272, 286, 289, 307,

309, 314, 322, 324, 326, 332, 340, 365, 382, 396, 409, 410,

422, 446, 454, 458, 463, 469, 471, 475, 478, 499, 500, 505,

513, 517, 521, 522, 531, 543, 560, 567, 577, 582, 590, 597,

600, 602, 609, 617, 623, 624, 632, 639, 644, 646, 648, 656,

663, 664, 667

Understand how algebraic relationships can be

SE: 20, 23, 24, 27, 34?36, 38?39, 49, 61, 64, 69, 182, 355, 459,

represented in concrete models, pictorial models, and

462, 464?465, 504, 506?508, 530, 532?533, 620, 625, 626,

diagrams.

SR1, SR2, SR4, SR30

Understand how to represent algebraic relationships by SE: 9, 10, 17, 71, 94, 103, 119, 167, 169, 186, 187, 196, 207, 212,

using tools such as handheld computing devices,

213, 214, 215, 231, 233, 239, 241, 244, 246, 248, 249, 252?

spreadsheets, and computer algebra systems (CASs).

253, 266, 273, 275, 276, 277, 278, 279, 280, 282, 286?288,

316, 321, 323?325, 335, 352, 353, 354, 395, 403, 405, 441,

456, 474, 509, 514, 534, 538, 558, 580, 592, 618, 624, 627,

641, 643, 647, 654

Holt McDougal Larson Algebra 2 ? 2012 correlated to the South Carolina High School Core-Area Standards: Intermediate Algebra

Indicators Standard IA-2

IA-2.1

Descriptor

Page Citations

The student will demonstrate through the mathematical processes an understanding of functions, systems of

equations, and systems of linear inequalities.

Carry out a procedure to solve a system of linear

This standard is outside the scope of Holt McDougal Larson

inequalities algebraically.

Algebra 2

IA-2.2

Carry out a procedure to solve a system of linear inequalities graphically.

This standard is outside the scope of Holt McDougal Larson Algebra 2

IA-2.3

Analyze a problem situation to determine a system of This standard is outside the scope of Holt McDougal Larson linear inequalities that models the problem situation. Algebra 2

IA-2.4

Use linear programming to solve contextual problems This standard is outside the scope of Holt McDougal Larson

involving a system of linear inequalities.

Algebra 2

IA-2.5

Carry out procedures to perform operations on

SE: 180?187, 217, 219

polynomial functions (including f(x) + g(x), f(x) ? g(x),

f(x) ? g(x), and f(x)/g(x)).

IA-2.6

Apply a procedure to write the equation of a composition of given functions.

Lesson 3.3 may be extended to meet this standard. See: SE: 182?187

IA-2.7

Carry out a procedure to graph translations of parent functions

(including y = x, y = x2 , y = x , y = x , and y = 1 ) x

.

SE: 200, 229, 237, 255, 311, 619?626, 670

IA-2.8

Carry out a procedure to graph transformations of parent functions (including

y = x, y = x2 , and y = x ).

SE: 200, 229, 237, 310, 311

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Holt McDougal Larson Algebra 2 ? 2012 correlated to the South Carolina High School Core-Area Standards: Intermediate Algebra

Indicators IA-2.9 IA-2.10

IA-2.11

Standard IA-3 IA-3.1 IA-3.2

IA-3.3

IA-3.4 IA-3.5 IA-3.6

Descriptor

Page Citations

Carry out a procedure to graph discontinuous functions This standard is outside the scope of Holt McDougal Larson

(including piecewise and step functions).

Algebra 2

Carry out a procedure to determine the domain and range of discontinuous functions (including piecewise and step functions).

This standard is outside the scope of Holt McDougal Larson Algebra 2

Carry out a procedure to solve a system of equations (including two linear functions and one linear function with one quadratic function).

This standard is outside the scope of Holt McDougal Larson Algebra 2

The student will demonstrate through the mathematical processes an understanding of quadratic equations and the

complex number system.

Carry out a procedure to simplify expressions

SE: 41?48, 75

involving powers of i.

Carry out a procedure to perform operations with complex numbers (including addition, subtraction, multiplication, and division).

SE: 41?48, 78?79

Carry out a procedure to solve quadratic equations algebraically (including factoring, completing the square, and applying the quadratic formula).

SE: 18?31, 50?57, 58?65, 75?79

Use the discriminant to determine the number and type SE: 60 of solutions of a quadratic equation.

Analyze given information (including quadratic models) to solve contextual problems.

SE: 20, 22, 23, 24, 27, 28, 30, 31, 53, 55?57, 61, 64?65

Carry out a procedure to write an equation of a quadratic function when given its roots.

This standard is outside the scope of Holt McDougal Larson Algebra 2

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Holt McDougal Larson Algebra 2 ? 2012 correlated to the South Carolina High School Core-Area Standards: Intermediate Algebra

Indicators Standard IA-4 IA-4.1 IA-4.2 IA-4.3

IA-4.4 IA-4.5 IA-4.6 IA-4.7

IA-4.8

Descriptor

Page Citations

The student will demonstrate through the mathematical processes an understanding of algebraic expressions and

nonlinear functions.

Carry out a procedure to perform operations (including SE: 104?110, 120?126, 155, 327?334, 336?342, 366, 369

multiplication, exponentiation, and division) with

polynomial expressions.

Carry out a procedure to determine specified points (including zeros, maximums, and minimums) of polynomial functions.

SE: 146?150

Carry out a procedure to solve polynomial equations (including factoring by grouping, factoring the difference between two squares, factoring the sum of two cubes, and factoring the difference between two cubes).

SE: 113?117, 156

Analyze given information (including polynomial models) to solve contextual problems.

SE: 90, 92?93, 168, 170?171, 178?179, 252, 256?257, 261, 264? 265, 328, 333?334, 631, 633?634

Carry out a procedure to simplify algebraic expressions SE: 172?179 involving rational exponents.

Carry out a procedure to simplify algebraic expressions SE: 253, 256 involving logarithms.

Carry out a procedure to perform operations with expressions involving rational exponents (including addition, subtraction, multiplication, division, and exponentiation).

SE: 166?171

Carry out a procedure to perform operations with rational expressions (including addition, subtraction, multiplication, and division).

SE: 327?334, 336?342, 366, 369

4

Holt McDougal Larson Algebra 2 ? 2012 correlated to the South Carolina High School Core-Area Standards: Intermediate Algebra

Indicators IA-4.9 IA-4.10 IA-4.11 IA-4.12 IA-4.13

Descriptor Carry out a procedure to solve radical equations algebraically. Carry out a procedure to solve logarithmic equations algebraically. Carry out a procedure to solve logarithmic equations graphically. Carry out a procedure to solve rational equations algebraically. Carry out a procedure to graph logarithmic functions.

Page Citations SE: 204?213, 217, 220 SE: 269?277, 290, 294 SE: 270, 272 SE: 345?353, 366, 370 SE: 254?257, 266, 293

IA-4.14

Carry out a procedure to graph exponential functions. SE: 228?235, 236?241, 290, 291

Standard IA-5 IA-5.1

IA-5.2

The student will demonstrate through the mathematical processes an understanding of conic sections.

Carry out a procedure to graph the circle whose

SE: 502?509, 544, 546

equation is the form

.

Carry out a procedure to write an equation of a circle SE: 503?508, 544, 546

centered at the origin when given its radius.

IA-5.3 IA-5.4

Carry out a procedure to graph the ellipse whose

SE: 510?515, 544, 547

equation is the form

.

Carry out a procedure to write an equation of an ellipse centered at the origin when given information from among length of major axis, length of minor axis, and vertices.

SE: 511?515, 544, 547

IA-5.5 IA-5.6

Carry out a procedure to graph the hyperbola whose SE: 518?524, 544, 547

equation is the form

.

Carry out a procedure to write an equation of a

SE: 519?524, 544, 547

hyperbola centered at the origin with specified vertices.

IA-5.7

Match the equation of a conic section with its graph. SE: 505

5

Holt McDougal Larson Algebra 2 ? 2012 correlated to the South Carolina High School Core-Area Standards: Intermediate Algebra

Indicators Standard IA-6 IA-6.1

Descriptor

Page Citations

The student will demonstrate through the mathematical processes an understanding of sequences and series.

Categorize a sequence as arithmetic, geometric, or

SE: 456, 458

neither.

IA-6.2

Carry out a procedure to write a specified term of an arithmetic or geometric sequence when given the nth term of the sequence.

SE: 434, 438

IA-6.3

Carry out a procedure to write a formula for the nth term of an arithmetic or geometric sequence when given at least four consecutive terms of the sequence.

SE: 438, 446, 454, 457

IA-6.4

Carry out a procedure to write a formula for the nth term of an arithmetic or geometric sequence when given at least four terms of the sequence.

SE: 438, 446, 454, 457

IA-6.5

Represent an arithmetic or geometric series by using sigma notation.

SE: 436, 438

IA-6.6

Carry out a procedure to calculate the sum of an arithmetic or geometric series written in sigma notation.

SE: 437, 439

IA-6.7

Carry out a procedure to determine consecutive terms SE: 466?475, 476?477, 479, 482 of a sequence that is defined recursively.

IA-6.8

Carry out a procedure to define a sequence recursively when given four or more consecutive terms of the sequence.

SE: 471, 473

IA-6.9

Translate between the explicit form and the recursive form of sequences.

SE: 467

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