correlated to the Sunshine State for Mathematics Grades 9 12 9/2002 2001
McDougal Littell Geometry 2001 correlated to the Florida Sunshine State for Mathematics Grades 9-12 Number Sense, Concepts, and Operations Standard 1: The student understands the different ways numbers are represented and used in the real world. (MA.A.1.4) 1. associates verbal names, written word names, and standard numerals with integers, rational numbers, irrational numbers, real numbers, and complex numbers. PE/TE: 390, 522, 656-657, 785, 799; see also McDougal Littell Algebra 1. 2. understands the relative size of integers, rational numbers, irrational numbers, and real numbers. PE/TE: 522, 657, 785; see also McDougal Littell Algebra 1. 3. understands concrete and symbolic representations of real and complex numbers in real-world situations. PE/TE: 17-19, 390, 522-523, 785; see also McDougal Littell Algebra 1. PE = Pupil s Edition; TE = Teacher s Edition 1
Florida Sunshine State for Mathematics Grades 9-12 4. understands that numbers can be represented in a variety of equivalent forms, including integers, fractions, decimals, percents, scientific notation, exponents, radicals, absolute values, and logarithms. PE/TE: 522-523, 657, 788; see also McDougal Littell Algebra 1. Standard 2: The student understands number systems. (MA.A.2.4) 1. understands and uses the basic concepts of limits and infinity. PE/TE: See McDougal Littell Algebra 2. 2. understands and uses the real number system. PE/TE: 2, 9, 16, 391, 522-523, 657, 785-786, 797, 799 3. understands the structure of the complex number system. PE/TE: See McDougal Littell Algebra 2. PE = Pupil s Edition; TE = Teacher s Edition 2
Florida Sunshine State for Mathematics Grades 9-12 Standard 3: The student understands the effects of operations on numbers and the relationships among these operations, selects appropriate operations, and computes for problem solving. 1. understands and explains the effects of addition, subtraction, multiplication, and division on real numbers, including square roots, exponents, and appropriate inverse relationships. PE/TE: 2, 9, 16, 27, 32, 98-100, 171, 235, 293, 522-523, 541, 785, 797, 799 2. selects and justifies alternative strategies, such as using properties of numbers, including inverse, identity, distributive, associative, transitive, that allow operational shortcuts for computational procedures in real-world or mathematical problems. PE/TE: 27, 96-100, 391, 787, 797 3. adds, subtracts, multiplies, and divides real numbers, including square roots and exponents, using appropriate methods of computing, such as mental mathematics, paper and pencil, and calculator. PE/TE: 2, 9, 16, 32, 171, 235, 293, 522-523, 541, 657, 785-786, 788-791 PE = Pupil s Edition; TE = Teacher s Edition 3
Florida Sunshine State for Mathematics Grades 9-12 Standard 4: The student uses estimation in problem solving and computation. (MA.A.4.4) 1. uses estimation strategies in complex situations to predict results and to check the reasonableness of results. PE/TE: 20, 22, 145, 164, 491, 494, 530, 532, 553, 700-704 Standard 5: The student understands and applies theories related to numbers. (MA.A.5.4) 1. applies special number relationships such as sequences and series to realworld problems. PE/TE: 5, 8, 590-591; see also McDougal Littell Algebra 2. PE = Pupil s Edition; TE = Teacher s Edition 4
Florida Sunshine State for Mathematics Grades 9-12 Measurement Standard 1: The student measures quantities in the real world and uses the measures to solve problems. 1. uses concrete and graphic models to derive formulas for finding perimeter, area, surface area, circumference, and volume of two-and three-dimensional shapes, including rectangular solids, cylinders, cones, and pyramids. PE/TE: 51, 78, 235, 278, 291, 370-371, 372-379, 444, 456, 537, 541, 553-555, 683-689, 690, 691-697, 726, 727, 728-734, 735-741, 743-749, 752-758, 759-765, 772, 802 2. uses concrete and graphic models to derive formulas for finding rate, distance, time, angle measures, and arc lengths. PE/TE: 18-20, 26-27, 32, 37, 107, 108, 134, 135, 140, 144-145, 151-153, 209, 330-331, 345, 567-568, 613-616, 620-621, 623-625, 662-666, 681, 689, 749 3. relates the concepts of measurement to similarity and proportionality in realworld situations. PE/TE: 390-391, 457, 460, 462-463, 467-470, 472, 474, 477-478, 481-482, 490-491, 494-495, 501, 503-504 Standard 2: The student compares, contrasts, and coverts within systems of measurement (both standard/nonstandard and metric/customary). (MA.B.2.4) 1. selects and uses direct (measured) or indirect (not measured) methods of measurement as appropriate. PE/TE: 18-24, 32, 37-39, 42, 45-49, 66-67, 78, 94, 107, 116, 141, 178, 276, 333-334, 352, 530, 532, 537, 553, 561, 562-566 PE = Pupil s Edition; TE = Teacher s Edition 5
Florida Sunshine State for Mathematics Grades 9-12 2. solves real-world problems involving rated measures (miles per hour, feet per second). PE/TE: See McDougal Littell Algebra 1. Standard 3: The student estimates measurements in real-world problem situations. (MA.B.3.4) 1. solves real-world and mathematical problems involving estimates of measurements, including length, time, weight/mass, temperature, money, perimeter, area, and volume, and estimates the effects of measurement errors on calculations. PE/TE: 51-57, 235, 278, 291, 370-371, 372-379, 444, 456, 537, 539, 555, 563-564, 669-674, 745, 756-757, 760 Standard 4: The student selects and uses appropriate units and instruments for measurement to achieve the degree of precision and accuracy required in real-world situations. (MA.B.4.4) 1. determines the level of accuracy and precision, including absolute and relative errors or tolerance, required in real-world measurement situations. PE/TE: 18, 23, 27, 53-54, 222, 674, 680, 685, 688, 694, 696-697, 770 2. selects and uses appropriate instruments, technology, and techniques to measure quantities in order to achieve specified degrees of accuracy in a problem situation. PE/TE: 21, 25, 28, 43, 115, 211, 354, 497, 533, 547, 667, 697 PE = Pupil s Edition; TE = Teacher s Edition 6
Florida Sunshine State for Mathematics Grades 9-12 Geometry and Spatial Sense Standard 1: The student describes, draws, identifies, and analyzes two- and threedimensional shapes. (MA.C.1.4) 1. uses properties and relationships of geometric shapes to construct formal and informal proofs. PE/TE: 72-76, 101, 102-106, 108, 109-115, 131-134, 135, 136-141, 147-148, 150-155, 157-163, 171, 193, 196-201, 203-204, 206-208, 212-214, 216-219, 220-224, 228, 229-235, 236-241, 265-271, 276-277, 292, 332, 334-336,339-340, 344, 349, 350, 353, 355, 365-366, 368-369, 488-491, 493-494, 498-500, 504, 528, 533, 535, 540-541, 542, 546-547, 556-557, 626-627, 666-667 Standard 2: The student visualizes and illustrates ways in which shapes can be combined, subdivided, and changed. (MA.C.2.4) 1. understands geometric concepts such as perpendicularity, parallelism, tangency, congruency, similarity, reflections, symmetry, and transformations including flips, slides, turns, enlargements, rotations, and fractals. PE/TE: 26, 33, 43, 44-45, 47-50, 82-83, 116, 129-130, 132-134, 136-141, 143-148, 202-209, 211, 250, 263, 272-275, 291, 328, 395, 396-402, 403, 404-410, 411, 412-420, 421-429, 430-436, 437-443, 473-479, 480-487, 490-495, 505, 506-513, 514, 557, 590-591, 676, 671-681, 705, 765, 766-771 2. analyzes and applies geometric relationships involving planar crosssections (the intersection of a plane and a three-dimensional figure). PE/TE: 12-15, 32, 73-74, 76, 94, 129, 132-134 PE = Pupil s Edition; TE = Teacher s Edition 7
Florida Sunshine State for Mathematics Grades 9-12 Standard 3: The student uses coordinate geometry to locate objects in both two and three dimensions and to describe objects algebraically. (MA.C.3.4) 1. represents and applies geometric properties and relationships to solve real-world and mathematical problems including ratio, proportion, and properties of right triangle trigonometry. PE/TE: 225, 390-391, 457-464, 465-470, 558-566, 567-572, 620, 675, 788 2. using a rectangular coordinate system (graph), applies and algebraically verifies properties of two- and threedimensional figures, including distance, midpoint, slope, parallelism, and perpendicularity. PE/TE: 30, 35, 41, 42, 50, 78, 101, 124, 165-170, 172-177, 209, 215, 218-219, 227, 242, 243-249, 278, 284, 289, 290, 328, 337, 341, 343, 380, 456, 546, 793-795 PE = Pupil s Edition; TE = Teacher s Edition 8
Florida Sunshine State for Mathematics Grades 9-12 Algebraic Thinking Standard 1: The student describes, analyzes, and generalizes a wide variety of patterns, relations, and functions. (MA.D.1.4) 1. describes, analyzes, and generalizes relationships, patterns, and functions using words, symbols, variables, tables, and graphs. PE/TE: 3-9, 16, 24-25, 42, 84, 293, 414, 420, 437-443, 542, 620, 656, 661, 667-668, 675 2. determines the impact when changing parameters of given functions. PE/TE: See McDougal Littell Algebra 1 and Algebra 2. Standard 2: The student uses expressions, equations, inequalities, graphs, and formulas to represent and interpret situations. (MA.D.2.4) 1. represents real-world problem situations using finite graphs, matrices, sequences, series, and recursive relations. PE/TE: See McDougal Littell Algebra 1 and Algebra 2. 2. uses systems of equations and inequalities to solve real-world problems graphically, algebraically, and with matrices. PE/TE: 796; see also McDougal Littell Algebra 1 and Algebra 2. PE = Pupil s Edition; TE = Teacher s Edition 9
Florida Sunshine State for Mathematics Grades 9-12 Data Analysis and Probability Standard 1: The student understands and uses the tools of data analysis for managing information. (MA.E.1.4) 1. interprets data that has been collected, organized, and displayed in charts, tables, and plots. PE/TE: 462, 472, 547, 688, 700-704, 741 2. calculates measures of central tendency (mean, median, mode) and dispersion (range, standard deviation, and variance) for complex sets of data and determines the most meaningful measure to describe the data. PE/TE: See McDougal Littell Algebra 1 and Algebra 2. 3. analyzes real-world data and makes predictions of larger populations by applying formulas to calculate measures of central tendency and dispersion using the sample population data, and using appropriate technology, including calculators and computers. PE/TE: See McDougal Littell Algebra 1 and Algebra 2. PE = Pupil s Edition; TE = Teacher s Edition 10
Florida Sunshine State for Mathematics Grades 9-12 Standard 2: The student identifies patterns and makes predictions from an orderly display of data using concepts of probability and statistics. (MA.E.2.4) 1. determines probabilities using counting procedures, tables, tree diagrams, and formulas for permutations and combinations. PE/TE: 699-704, 706 2. determines the probability for simple and compound events as well as independent and dependent events. PE/TE: 699-705, 706 Standard 3: The student uses statistical methods to make inferences and valid arguments about real-world situations. (MA.E.3.4) 1. designs and performs real-world statistical experiments that involve more than one variable, then analyzes results and reports findings. PE/TE: See McDougal Littell Algebra 2. 2. explains the limitations of using statistical techniques and data in making inferences and valid arguments. PE/TE: See McDougal Littell Algebra 2. PE = Pupil s Edition; TE = Teacher s Edition 11