Prentice Hall Prentice Hall Algebra 2 Honors Gold Series, Florida Edition (Title ID: 1476) © 2011 (Charles et al.)

C O R R E L A T E D T O

Algebra II Honors (Course Number 1200340; Intended Grade Level 9-12)

G r a d e s 9 - 1 2

SUBJECT: GRADE LEVEL: COURSE TITLE: COURSE CODE: SUBMISSION TITLE:TITLE ID:PUBLISHER: PUBLISHER ID:

BENCHMARK CODE BENCHMARK DEPTH OF KNOWLEDGE

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LA.910.1.6.1 The student will use new vocabulary that is introduced and taught directly; SE/TE: 15, 50, 61, 86, 96, 164, 183, 221, 232, 267, 280, 308, 315, 347, 422, 461, 487, 498, 541, 553, 598, 639, 646, 663

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LA.910.4.2.1 The student will write in a variety of informational/expository forms, including a variety of technical documents (e.g., how-to-manuals, procedures, assembly directions);

SE/TE: 16, 96, 111, 145, 160, 222, 237, 308, 322, 336, 456, 525, 591, 602, 621

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MA.912.A.1.6 Identify the real and imaginary parts of complex numbers and perform basic operations.

Moderate SE/TE: 248-255, 264, 265, 267, 272-273, 275, 310, 330, 354, 356, 373, 429, 441, 483, 492, 505, 559, 610

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MA.912.A.2.5 Graph absolute value equations and inequalities in two variables. Moderate SE/TE: 90, 107-113, 117-120, 126-127, 129, 131, 141, 162, 181, 189, 356, 373, 429, 494, 505, 611, 620

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MA.912.A.2.6 Identify and graph common functions (including but not limited to linear, rational, quadratic, cubic, radical, absolute value).

Moderate SE/TE: 70, 72, 77-79, 83-84, 90, 99-103, 105-106, 107-113, 122, 129, 194-201, 204, 206-207, 214, 224, 255, 268-269, 273, 277, 282-283, 331-334, 338, 339-345, 357, 412, 413, 414-420, 426, 430, 434-435, 454-458, 478, 494, 506, 507-508, 515, 517, 519-523, 55

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MA.912.A.2.7 Perform operations (addition, subtraction, division, and multiplication) of functions algebraically, numerically, and graphically.

Moderate SE/TE: 66-67, 73, 99-106, 108-113, 127, 232, 288, 398-399, 401, 402, 404, 412, 425, 427, 476, 609

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MA.912.A.2.8 Determine the composition of functions. Low SE/TE: 214, 400-404, 409-410, 412, 425, 427, 450, 476, 541, 609

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MA.912.A.2.9 Recognize, interpret, and graph functions defined piece-wise with and without technology.

Moderate SE/TE: 90-91, 129 M

MA.912.A.2.10 Describe and graph transformations of functions Moderate SE/TE: 99-106, 108-113, 122, 125, 127, 129, 148, 181, 191, 195-201, 231, 268, 273, 295, 324, 339-341, 343-345, 352, 356, 415-420, 427, 429, 431, 442-444, 455-456, 461, 486, 488, 509-510, 512, 514, 553, 602, 658-659

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MA.912.A.2.11 Solve problems involving functions and their inverses. High SE/TE: 405-412, 413, 420, 421, 422, 426, 427, 431, 450, 454, 456-457, 478, 483, 523, 548, 593

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Prentice Hall Algebra 2 Honors Gold Series, Florida Edition © 2011

CORRELATIONFLORIDA DEPARTMENT OF EDUCATION

INSTRUCTIONAL MATERIALS CORRELATION

Mathematics9-12Algebra II Honors 1200340

*I/M = INDEPTH OR MENTIONEDCommittee Member Evaluation(Committee Member Use Only)

1476Pearson publishing as Prentice Hall22-1603684-03

COURSE STANDARDS

BENCHMARK CODE BENCHMARK DEPTH OF KNOWLEDGE

PAGES OR LOCATIONS WHERE BENCHMARK IS DIRECTLY ADDRESSED IN

MAJOR TOOLI/M*

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MA.912.A.2.12 Solve problems using direct, inverse, and joint variations. High SE/TE: 68-73, 80, 98, 120, 123, 127, 173, 214, 275, 330, 483, 495, 498-505, 507-508, 511-514, 523, 526, 552, 554, 557

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MA.912.A.3.14 Solve systems of linear equations and inequalities in two and three variables using graphical, substitution, and elimination methods.

Moderate SE/TE: 134-141, 142-148, 149-156, 157-162, 163, 165, 166-173, 182-189, 191, 201, 208, 209-210, 223, 231, 239, 247, 274-275, 287, 302, 310, 317

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MA.912.A.3.15 Solve real-world problems involving systems of linear equations and inequalities in two and three variables.

High SE/TE: 134-136, 138-141, 143, 145-148, 149, 151-153, 155-156, 157, 159-162, 170, 172-173, 180, 182, 184-185, 187, 208, 214, 223, 276, 302, 548

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MA.912.A.4.3 Factor polynomial expressions. Moderate SE/TE: 216-223, 224, 226, 229-231, 239, 255, 270, 273, 277, 287, 288, 291, 293-295, 296-298, 300-302, 310, 311, 324, 345, 349, 357, 388, 397, 428, 441, 458, 493, 495, 514, 523

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MA.912.A.4.4 Divide polynomials by monomials and polynomials with various techniques, including synthetic division.

Moderate SE/TE: 303-310, 313, 317, 320, 349, 350, 353, 355, 373, 476, 493, 525, 644

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MA.912.A.4.5 Graph polynomial functions with and without technology and describe end behavior.

Moderate SE/TE: 282-283, 285-286, 311, 339-341, 348, 352, 353, 354, 468, 586

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MA.912.A.4.6 Use theorems of polynomial behavior (including but not limited to the Fundamental Theorem of Algebra, Remainder Theorem, the Rational Root Theorem, Descartes' Rule of Signs, and the Conjugate Root Theorem) to find the zeros of a polynomial function.

Moderate SE/TE: 307, 309-310, 311, 312-317, 319-324, 347, 349-350, 353, 366, 388, 428

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MA.912.A.4.7 Write a polynomial equation for a given set of real and/or complex roots. Moderate SE/TE: 232, 247, 254, 290, 293-295, 302, 311, 314-317, 322-324, 348, 350, 353, 493, 533

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MA.912.A.4.8 Describe the relationships among the solutions of an equation, the zeros of a function, the x-intercepts of a graph, and the factors of a polynomial expression with and without technology.

Moderate SE/TE: 226-230, 232, 243, 247, 254, 273, 275, 289-291, 293, 294, 312, 318, 319-320, 345, 347-348, 533, 608-609

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MA.912.A.4.9 Use graphing technology to find approximate solutions for polynomial equations. Low SE/TE: 228, 229, 230, 299-302, 318, 338, 348 I

MA.912.A.4.10 Use polynomial equations to solve real-world problems. Moderate SE/TE: 198, 205, 228-230, 237-239, 242, 244-246, 269, 274, 292, 294, 300-302, 311, 338, 342-345, 346, 349, 353 577

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MA.912.A.4.11 Solve a polynomial inequality by examining the graph with and without the use of technology.

Moderate SE/TE: 257, 318 I

MA.912.A.4.12 Apply the Binomial Theorem. Moderate SE/TE: 326-330, 338, 346, 351, 353, 404, 620 I

MA.912.A.5.6 Identify removable and non-removable discontinuities, and vertical, horizontal, and oblique asymptotes of a graph of a rational function, find the zeros, and graph the function.

Moderate SE/TE: 506, 507-514, 515-523, 524-525, 526, 533, 552, 554-555, 557, 586, 636, 644

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MA.912.A.6.2 Add, subtract, multiply, and divide radical expressions (square roots and higher). Moderate SE/TE: 367-372, 375-380, 389, 420, 423-424, 427, 450, 493, 505, 514, 548, 586

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BENCHMARK CODE BENCHMARK DEPTH OF KNOWLEDGE

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MA.912.A.6.3 Simplify expressions using properties of rational exponents. Low SE/TE: 381-388, 389, 397, 412, 424, 427, 431, 468, 505, 559, 586, 629

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MA.912.A.6.4 Convert between rational exponent and radical forms of expressions. Low SE/TE: 381-382, 384-387, 389, 392, 468, 505, 559 593, 629

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MA.912.A.6.5 Solve equations that contain radical expressions. Moderate SE/TE: 380, 390-397, 404, 416, 418-419, 422, 425, 426, 533, 552, 571, 644

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MA.912.A.7.3 Solve quadratic equations over the real numbers by completing the square. Moderate SE/TE: 234-239, 247, 271, 429, 593 I

MA.912.A.7.4 Use the discriminant to determine the nature of the roots of a quadratic equation. Low SE/TE: 242-247, 255, 271, 273, 277 I

MA.912.A.7.5 Solve quadratic equations over the complex number system. Moderate SE/TE: 252-255, 264, 267, 271, 273, 275, 287, 302, 310, 317, 321, 366, 373, 420, 429, 636

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MA.912.A.7.6 Identify the axis of symmetry, vertex, domain, range and intercept(s) for a given parabola.

Low SE/TE: 194-200, 202-208, 210-212, 214, 223, 224, 228, 230, 236, 247, 255, 266, 268, 273, 275, 429, 505, 523, 559

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MA.912.A.7.7 Solve non-linear systems of equations with and without using technology. High SE/TE: 230, 258-264, 272, 283, 393, 416, 470, 472, 475, 549, 661

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MA.912.A.7.10 Use graphing technology to find approximate solutions of quadratic equations. Low SE/TE: 227-230, 277, 636 I

MA.912.A.8.1 Define exponential and logarithmic functions and determine their relationship Moderate SE/TE: 434-436, 439, 451-455, 456-458, 461, 478, 487-489, 491, 493, 593

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MA.912.A.8.2 Define and use the properties of logarithms to simplify logarithmic expressions and to find their approximate values.

Low SE/TE: 462-468, 470-476, 477, 478-483, 487, 489-492, 505, 533, 541, 601, 610, 644

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MA.912.A.8.3 Graph exponential and logarithmic functions. Moderate SE/TE: 434-435, 437, 439-441, 442-449, 454-458, 461, 470, 472-473, 478, 484-485, 489-490, 493, 514, 541, 593

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MA.912.A.8.5 Solve logarithmic and exponential equations. Moderate SE/TE: 469-475, 479-483, 487, 490-491, 505, 533, 548, 559, 571, 601, 652

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MA.912.A.8.6 Use the change of base formula. Low SE/TE: 464, 466-467, 476, 487, 489, 491, 523, 571, 601 I

MA.912.A.8.7 Solve applications of exponential growth and decay. High SE/TE: 23, 435-441, 445-450, 461, 471, 473-474, 483, 484, 487-488, 491-492, 548

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MA.912.A.9.1 Write the equations of conic sections in standard form and general form, in order to identify the conic section and to find its geometric properties (foci, asymptotes, eccentricity, etc.).

Moderate SE/TE: 635, 637, 640, 642, 643, 648, 650,-652, 656-660, 664, 666, 667

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MA.912.A.9.2 Graph conic sections with and without using graphing technology. Moderate SE/TE: 615-620, 621, 623-625, 628-629, 635-636, 637, 640, 642, 647-648, 650-652, 654-659, 661, 664-667

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BENCHMARK CODE BENCHMARK DEPTH OF KNOWLEDGE

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MA.912.A.10.3 Decide whether a given statement is always, sometimes, or never true (statements involving linear or quadratic expressions, equations, or inequalities, rational or radical expressions, or logarithmic or exponential functions).

High SE/TE: 28-30, 36, 38, 53, 122, 145, 188, 264, 323, 372, 482, 532

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MA.912.D.11.1 Define arithmetic and geometric sequences and series. Low SE/TE: 572-573, 575, 579, 580-581, 587-591, 595-598, 603-605

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MA.912.D.11.2 Use sigma notation to describe series. Low SE/TE: 589-593, 596, 598-601, 603, 605, 607, 636 I

MA.912.D.11.3 Find specified terms of arithmetic and geometric sequences. Low SE/TE: 565, 567-569, 573-577, 579, 581-586, 603-605, 607-608, 620

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MA.912.D.11.4 Find partial sums of arithmetic and geometric series, and find sums of infinite convergent geometric series. Use Sigma notation where applicable.

Moderate SE/TE: 587-593, 594, 595-601, 605-607, 609, 620, 636 I

MA.912.G.6.6 Given the center and the radius, find the equation of a circle in the coordinate plane or given the equation of a circle in center-radius form, state the center and the radius of the circle.

Moderate SE/TE: 619, 631-635, 637, 644, 665, 667 I

MA.912.G.6.7 Given the equation of a circle in center-radius form or given the center and the radius of a circle, sketch the graph of the circle.

Moderate SE/TE: 615, 618-619, 633, 635, 637, 665 I

MA.912.A.1.1 Know equivalent forms of real numbers (including integer exponents and radicals, percents, scientific notation, absolute value, rational numbers, irrational numbers).

Low SE/TE: 10, 12, 13, 15-17, 24, 41, 67, 225, 674, 682 M

MA.912.A.1.3 Simplify real number expressions using the laws of exponents. Low SE/TE: 247, 360, 380, 381-383, 386, 388, 397, 452, 586, 680, 682

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MA.912.A.1.4 Perform operations on real numbers (including integer exponents, radicals, percents, scientific notation, absolute value, rational numbers, irrational numbers) using multi-step and real-world problems.

Moderate SE/TE: 1, 17, 24, 52, 131, 233, 247, 284, 303, 306, 361-362, 365, 367-372, 374-380, 389, 397, 420, 423, 443, 458, 461, 674, 675, 677, 682

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MA.912.A.1.7 Represent complex numbers geometrically. Moderate SE/TE: 249-250, 253, 254, 265, I

MA.912.A.2.9 Recognize, interpret, and graph functions defined piece-wise with and without technology.

Moderate SE/TE: 90-91, 129 M

MA.912.A.5.6 Identify removable and non-removable discontinuities, and vertical, horizontal, and oblique asymptotes of a graph of a rational function, find the zeros, and graph the function.

Moderate SE/TE: 506, 507-514, 515-523, 524-525, 526, 533, 552, 554-555, 557, 586, 636, 644

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MA.912.A.5.7 Solve real-world problems involving rational equations (mixture, distance, work, interest, and ratio).

High SE/TE: 520, 521, 522, 530-531, 538-539, 542, 544-548, 551, 555-557

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MA.912.A.7.9 Solve optimization problems. High SE/TE: 157-162, 163, 173, 185, 187, 199-201, 206-207, 211-212, 247, 292, 294

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BENCHMARK CODE BENCHMARK DEPTH OF KNOWLEDGE

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The Examples can be from Student or Teacher Instructional Material.

SE/TE: 12, 41-42, 49, 59, 122, 183, 267, 347, 422, 487, 553, 603, 663

SE/TE: 3-4, 17, 45, 59-62, 65, 613-614

SE/TE: 440, 448, 457, 619, 628, 635

SE/TE: 1, 7, 15, 122, 273, 213

SE/TE: 5-6, 61-62, 235, 445, 453

SE/TE: 45, 465-467, 471, 474, 617, 619, 625

SE/TE: 4, 7, 64, 88, 223, 244, 247, 302, 473, 629

Committee Member Evaluation(Committee Member Use Only)

OVERALL INSTRUCTIONAL QUALITY

IDENTIFY AN EXAMPLE (WITH PAGE NUMBERS OR LOCATION) DEEMED

TYPICAL OF THE APPROACH TAKEN IN THE MAJOR TOOL.

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Tasks require students to make conjectures, justify their thinking, defend their responses by using mathematical arguments, and prove mathematical statements. Students are encouraged to invent and justify solution methods. Students analyze correct and incorrect solution methods.

Problem solving is encouraged by the tasks presented to students. Tasks require students to make decisions, determine strategies, and justify solutions.

Tasks engage students in communicating mathematical ideas by writing, explaining, drawing, using symbols, talking, listening, and reading for information. Tasks encourage collaboration, discussion, individual accountability, and positive interdependence.

Students are given opportunities to create and use representations to organize, record, and communicate their thinking. Tasks promote use of multiple representations and translations among them. Students use a variety of tools to understand a single concept.

The mathematics connects to other disciplines such as reading, art, science, and history. Tasks represent mathematical ideas as interconnected and building upon each other.

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The major tool introduces and builds mathematical concepts as a coherent whole. It provides opportunities to students to explore why a mathematical idea is important and in which contexts that mathematical idea can be useful. In other words, the major tool helps students learn the mathematics concepts in depth. Additionally, students are given opportunities to connect conceptual knowledge with procedural knowledge and factual knowledge. Overall, there is an appropriate balance of skill development and conceptual understanding.

Tasks are engaging and interesting enough that students want to pursue them. Real world problems are realistic and relevant to students’ lives.

SUBJECT: GRADE LEVEL:

COURSE TITLE: COURSE CODE:

SUBMISSION TITLE:TITLE ID:

PUBLISHER: PUBLISHER ID:

ACCESS POINT CODE ACCESS POINT DESCRIPTIONPAGES OR LOCATIONS WHERE ACCESS

POINT IS DIRECTLY ADDRESSED IN MAJOR TOOL

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MA.912.A.1.In.a Identify and use equivalent forms of fractions, such as halves, fourths, thirds, sixths, eighths, tenths, and sixteenths; decimals to the hundredths place; and percents, such as 25%, 50%, 75%, 100%, 33%, and 67%, using visual and numerical representation in real-world situations.

SE/TE: 1, 12 M

MA.912.A.1.In.b Identify examples of positive and negative whole numbers in real-world situations.

SE/TE: 12, 15, 198, 205, 210, 300, 438, 445, 574 I

MA.912.A.1.In.c Determine the value of numbers to 10 with the exponents 2 and 3, such as 42 and 33, using physical and visual patterns.

SE/TE: 1, 52, 420, 434, 458, 570, 677 I

MA.912.A.1.In.e Simplify fractions and decimals by reducing to lowest terms.

SE/TE: 1, 12 M

MA.912.A.1.In.f Simplify fractions greater than 1, such as 8/4, by using division facts.

SE/TE: 1, 12 M

MA.912.A.1.In.g Select the operation and solve two-step mathematical problems involving addition, subtraction, multiplication, and division of two- and three-digit numbers in real-world situations using problem-solving strategies, such as recognizing symbols and key information and using visual representations.

SE/TE: 27-29, 30-32, 35, 37-39, 40 I

MA.912.A.1.Pa.a Identify and express quantity in sets to 10 using objects, pictures, symbols, or number names.

MA.912.A.1.Pa.c Demonstrate one-to-one correspondence by counting objects or actions to 10.

MA.912.A.1.Pa.d Identify a given quantity to 9 and add 1 more to solve problems.

SE/TE: 27-29, 30-32, 35, 37-39, 40 I

9-12Algebra II Honors 1200340Prentice Hall Algebra 2 Honors Gold Series, Florida Edition © 2011

*I/M = INDEPTH OR MENTIONEDCommittee Member Evaluation(Committee Member Use Only)

1476Pearson publishing as Prentice Hall22-1603684-03

CORRELATIONFLORIDA DEPARTMENT OF EDUCATION

ACCESS POINTSMathematics

INSTRUCTIONAL MATERIALS CORRELATION

ACCESS POINT CODE ACCESS POINT DESCRIPTIONPAGES OR LOCATIONS WHERE ACCESS

POINT IS DIRECTLY ADDRESSED IN MAJOR TOOL

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MA.912.A.1.Pa.e Identify a given quantity to 10 and take away 1 to solve problems.

SE/TE: 27-29, 30-32, 35, 37-39, 40 I

MA.912.A.1.Su.a Identify equivalent forms of fractions, such as halves, thirds, and fourths; percents, such as 50%, 33%, and 25%; and decimals in the context of money, using visual and numerical representation in real-world situations.

SE/TE: 1, 12 M

MA.912.A.1.Su.b Identify the value of numbers to 5 with the exponent 2 using physical and visual models.

SE/TE: 1, 7, 420, 434, 570 I

MA.912.A.1.Su.d Simplify whole numbers to 100 using place value and grouping with visual representation.

MA.912.A.1.Su.e Use repeated addition of the same number to solve one-digit multiplication facts and repeated subtraction of the same number to solve one-digit division facts in real-world situations.

MA.912.A.1.Su.f Select the operation and solve one-step mathematical problems involving addition and subtraction of one-digit and two-digit numbers in real-world situations using physical and visual representations and problem-solving strategies, such as recognizing key information and symbols.

SE/TE: 6, 27-29, 30-32, 35, 37-39, 40 I

MA.912.A.10.In.b Use estimation strategies, such as rounding, grouping, and comparing, to determine if answers are reasonable.

SE/TE: 23, 54, 228, 242 I

MA.912.A.10.Pa.a Solve real-world problems involving quantities to 10 and match the result to the correct answer to determine accuracy.

MA.912.A.10.Su.b Use resources, such as calculators, to verify accuracy of solutions to problems.

SE/TE: 13, 100, 110, 236, 241, 282, 298, 299, 444, 457, 472, 647-648

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MA.912.A.2.In.d Use function tables and simple graphs to determine the mathematical relationship between two numbers representing real-world situations.

SE/TE: 5, 6, 61, 65, 67, 92-98, 106, 121, 134, 198, 437 I

MA.912.A.2.Pa.b Compare sets to 10 of objects, pictures, or symbols using one-to-one correspondence and identify which has more or less.

MA.912.A.2.Su.c Identify number patterns and relationships using physical and visual models representing real-world situations.

SE/TE: 4-6, 7-10, 17, 25, 48, 73, 296, 564, 566, 570 I

MA.912.A.3.In.e Solve real-world equations and inequalities with one unknown (variable) using visual models to represent the procedure.

SE/TE: 28, 30, 31, 39, 45, 84 I

MA.912.A.3.In.f Create function tables and simple graphs that show the mathematical relationship between number pairs.

SE/TE: 9, 60-62, 70, 80, 84, 92, 93, 100, 108, 121, 135, 283, 434

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MA.912.A.3.Pa.c Identify quantities to 10 as equal or unequal.

ACCESS POINT CODE ACCESS POINT DESCRIPTIONPAGES OR LOCATIONS WHERE ACCESS

POINT IS DIRECTLY ADDRESSED IN MAJOR TOOL

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MA.912.A.3.Pa.d Sort sets of objects to 10 into groups by quantity.

MA.912.A.3.Su.c Use the concepts of equality and inequality as strategies to solve problems involving real-world situations.

SE/TE: 26, 28, 30-31, 39, 45, 116 I

MA.912.A.3.Su.e Identify the mathematical relationship between number pairs in function tables, such as +2 or -3.

SE/TE: 70, 80, 100, 121, 195 I

MA.912.A.4.In.c Combine like and unlike terms in number sentences representing real-world situations.

SE/TE: 21, 23, 25, 28, 30, 31, 53 I

MA.912.A.4.In.d Identify factors of expressions with whole numbers by dividing.

SE/TE: 216-223, 224, 226, 229-231, 239, 270 I

MA.912.A.4.Pa.c Separate groups of objects to 10 into sets with the same quantity.

MA.912.A.4.Su.c Identify factors of whole numbers by using division facts.

SE/TE: 216-223, 224, 226, 229-231, 239, 270 I

MA.912.A.6.In.b Use factors of perfect squares to solve problems in real-world situations.

SE/TE: 222, 235 I

MA.912.A.6.Pa.a Use one-to-one correspondence to identify equal sets of objects to solve problems.

MA.912.A.6.Su.a Use physical models of perfect squares, including 1, 4, 9, 16, 25, and 100, to solve problems.

SE/TE: 7, 222, 235, 570 I

MA.912.G.6.In.c Determine the relationship between a semi-circle and a circle.

SE/TE: 234 I

MA.912.G.6.Pa.b Match two or more objects with a circle based on a given feature, such as the distance around the outside (circumference) or inside (area) in real-world situations.

SE/TE: 619, 631-632, 634-635, 637, 644, 665 I

MA.912.G.6.Su.c Identify examples of semi-circles in the environment.

SE/TE: 234 I