CORRELATED TO THE SOUTH CAROLINA COLLEGE AND CAREER-READY FOUNDATIONS IN ALGEBRA

Transcription

1 We Can Early Learning Curriculum PreK Grades 8 12 INSIDE ALGEBRA, GRADES 8 12 CORRELATED TO THE SOUTH CAROLINA COLLEGE AND CAREER-READY FOUNDATIONS IN ALGEBRA April

2 Mathematical Process Standards 1. Make sense of problems and persevere in solving them. a. Relate a problem to prior knowledge. b. Recognize there may be multiple entry points to a problem and more than one path to a solution. c. Analyze what is given, what is not given, what is being asked, and what strategies are needed, and make an initial attempt to solve a problem. d. Evaluate the success of an approach to solve a problem and refine it if necessary. 2. Reason both contextually and abstractly. a. Make sense of quantities and their relationships in mathematical and real- world situations. b. Describe a given situation using multiple mathematical representations. c. Translate among multiple mathematical representations and compare the meanings each representation conveys about the situation. d. Connect the meaning of mathematical operations to the context of a given situation. Students are asked to evaluate each other s work among groups and to discuss how they disagree with a solution and to justify an answer. Students in groups critique each other s approaches and strategies for solving a problem. For example: p. 142, Ch. 2 Obj. 4; p. 819, Ch. 9 Obj. 3; p. 919, Ch. 10, Obj.3 Students examine and apply many different forms for linear equations. Students use drawings to model and analyze problem solutions. Students use an answer to construct a corresponding problem. For example: p. 927, Ch. 10 Obj Use critical thinking skills to justify mathematical reasoning and critique the reasoning of others. a. Construct and justify a solution to a problem. b. Compare and discuss the validity of various reasoning strategies. c. Make conjectures and explore their validity. d. Reflect on and provide thoughtful responses to the reasoning of others. Students observe models and make conjectures about the process. Students discuss and comment on strategies and solutions from other students, and explain their own. Students use an equation to make predictions. For example: p. 74, Ch. 1 Obj. 4 Page 1 of 14

3 4. Connect mathematical ideas and real- world situations through modeling. a. Identify relevant quantities and develop a model to describe their relationships. b. Interpret mathematical models in the context of the situation. c. Make assumptions and estimates to simplify complicated situations. d. Evaluate the reasonableness of a model and refine if necessary. 5. Use a variety of mathematical tools effectively and strategically. a. Select and use appropriate tools when solving a mathematical problem. b. Use technological tools and other external mathematical resources to explore and deepen understanding of concepts. 6. Communicate mathematically and approach mathematical situations with precision. a. Express numerical answers with the degree of precision appropriate for the context of a situation. b. Represent numbers in an appropriate form according to the context of the situation. c. Use appropriate and precise mathematical language. d. Use appropriate units, scales, and labels. 7. Identify and utilize structure and patterns. a. Recognize complex mathematical objects as being composed of more than one simple object. b. Recognize mathematical repetition in order to make generalizations. c. Look for structures to interpret meaning and develop solution strategies. Students use modeling with algebra tiles and other manipulatives to see patterns and to solve for values. Students use activities to develop mathematical concepts. For example: p. 810, Ch. 9 Obj. 3; p. 929, Ch. 10 Obj. 4 Students discuss and apply mathematical vocabulary to various contexts. Students use calculators, graphing tools, and graphing calculators. For example: p. 574, Ch. 7 Obj. 1; p. 790, Ch. 9 Obj. 2; p. 873, Ch. 10 Obj. 1 Students explain in words, For example, what a given equation represents. For example: p. 721, Ch. 8 Obj. 3 Students discuss concepts, and find and name patterns. For example: p. 135, Ch.2, Obj.4; p. 932, Ch. 10 Obj. 4; p. 951, Ch. 11 Obj. 1; p. 1080, Ch. 12 Obj. 3 Key Concept: Creating Equations FA.ACE.1* Create and solve equations and inequalities in one variable that model real- world problems involving linear, quadratic, simple rational, and exponential relationships. Interpret the solutions and determine whether they are reasonable. (Limit to linear; quadratic; Chapter 1: Objective 3: Solve open sentences by performing arithmetic operations. CD 1: 34-38, CD 2: 39, CD 3: 40, PA 1: 41, PA 2: 42, PM 1: 43, PM2: 44, PM 3: 45, PS 1: 46, PS 2: 47, OA: 49 Chapter 3: Objective 1: CD 1: Solve linear Page 2 of 14

4 exponential with integer exponents.) FA.ACE.2* Create equations in two or more equations with addition and subtraction , CD 2: , PA 1: 178, PA 2: 179, PA 3: 180, PM 1: 181, PM2: 182, PS 1: 183, PS 2: 184, OA: 185 Chapter 3: Objective 3: Solve linear equations using one or more operations. CD 1: 208, CD 2: 209, CD3: 210, PA 1: 211, PA 2: , PA 3: 215, PM 1: 216, PM2: 217, PM3: 218, PM 4: 219, PS 1: 220, PS 2: 221, OA: 223 Chapter 3: Objective 4: Solve problems that can be represented as equations. CD 1: 228, CD 2: , PA 1: 231, PA 2: 232, PM 1: 233, PM2: 234, PS 1: 235, OA: 237 Chapter 3: Objective 1: CD 1: Solve linear equations with addition and subtraction , CD 2: , PA 1: 178, PA 2: 179, PA 3: 180, PM 1: 181, PM2: 182, PS 1: 183, PS 2: 184, OA: 185 Chapter 3: Objective 2: CD 1: Solve linear equations with multiplication and division. 190, CD 2: , CD3: , PA 1: 195, PA 2: , PM 1: 198, PM2: 199, PS 1: 200, PS 2: 201, OA: 203 Chapter 3: Objective 3: Solve linear equations using one or more operations. CD 1: 208, CD 2: 209, CD3: 210, PA 1: 211, PA 2: , PA 3: 215, PM 1: 216, PM2: 217, PM3: 218, PM 4: 219, PS 1: 220, PS 2: 221, OA: 223 Chapter 3: Objective 4: Solve problems that can be represented as equations. CD 1: 228, CD 2: , PA 1: 231, PA 2: 232, PM 1: 233, PM2: 234, PS 1: 235, OA: 237 Chapter 3: Objective 5: Solve proportions that have a missing part. CD 1: , CD 2: , PA 1: , PA 2: 249, PA 3: 250, PM 1: 251, PM2: 252, PM 3: 253, PS 1: 254, OA: 255 Chapter 3: Objective 6: Use proportions to solve percent problems. CD 1: 260, CD 2: , PA 1: , PA 2: 265, PM 1: 266, PM2: 267, PM 3: 268, PS 1: 269, OA: Chapter 4: Objective 3: Determine the range for a Page 3 of 14

5 variables to represent relationships between quantities. Graph the equations on coordinate axes using appropriate labels, units, and scales. (Limit to linear; quadratic; exponential with integer exponents; direct and indirect variation.) FA.ACE.4* Solve literal equations and formulas for a specified variable including equations and formulas that arise in a variety of disciplines. given domain of a relation. CD 1: 312, CD 2: 313, PA 1: 314, PA 2: 315, PA 3: 316, PM 1: 317, PM2: 318, PM3: 319, PS 1: , OA: 323 Chapter 4: Objective 4: Graph linear equations. CD 1: , CD 2: , PA 1: 332, PA 2: 333, PM 1: 334, PM2: 335, PM3: 336, PS 1: 337, PS 2: , OA: 341 Chapter 10: Objective 1: Graph parabolas, and find the coordinates of the vertex and axis of symmetry. CD 1: , CD 2: , CD 3: , CD 4: , CD 5: , CD6: , PA 1: 880, PA 2: , PM 1: 884, PM 2: 885, PM 3: 886, PM 4: 887, PS 1: 888, OA: 889 Chapter 10: Objective 2: Estimate the roots of a quadratic equation by graphing the associated function. CD 1: , CD 2: , PA 1: 898, PA 2: 899, PM 1: 900, PM 2: 901, PS 1: 902, OA: 903 Chapter 1: Objective 3: Solve open sentences by performing arithmetic operations. CD 1: 34-38, CD 2: 39, CD 3: 40, PA 1: 41, PA 2: 42, PM 1: 43, PM2: 44, PM 3: 45, PS 1: 46, PS 2: 47, OA: 49 Key Concept: Reasoning with Equations and Inequalities FA.AREI.1* Understand and justify that the steps taken when solving simple equations in one variable create new equations that have the same solution as the original. Chapter 3: Objective 1: CD 1: Solve linear equations with addition and subtraction , CD 2: , PA 1: 178, PA 2: 179, PA 3: 180, PM 1: 181, PM2: 182, PS 1: 183, PS 2: 184, OA: 185 Chapter 3: Objective 2: CD 1: Solve linear equations with multiplication and division. 190, CD 2: , CD3: , PA 1: 195, PA 2: , PM 1: 198, PM2: 199, PS 1: 200, PS 2: 201, OA: 203 Chapter 3: Objective 3: Solve linear equations using one or more operations. CD 1: 208, CD 2: 209, CD3: 210, PA 1: 211, PA 2: , PA 3: 215, PM 1: 216, PM2: 217, PM3: 218, PM 4: 219, PS 1: 220, PS 2: 221, OA: 223 Chapter 3: Objective 4: Solve problems that can be represented as equations. Page 4 of 14

6 FA.AREI.3* Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. FA.AREI.5 Justify that the solution to a system of linear equations is not changed when one of the equations is replaced by a linear combination of the other equation. FA.AREI.6* Solve systems of linear equations algebraically and graphically focusing on pairs of linear equations in two variables. (Note: FA.AREI.6a and 6b are not Graduation Standards.) a. Solve systems of linear equations using the substitution method. b. Solve systems of linear equations using linear combination. CD 1: 228, CD 2: , PA 1: 231, PA 2: 232, PM 1: 233, PM2: 234, PS 1: 235, OA: 237 Chapter 1: Objective 3: Solve open sentences by performing arithmetic operations. CD 1: 34-38, CD 2: 39, CD 3: 40, PA 1: 41, PA 2: 42, PM 1: 43, PM2: 44, PM 3: 45, PS 1: 46, PS 2: 47, OA: 49 Chapter 3: Objective 1: CD 1: Solve linear equations with addition and subtraction , CD 2: , PA 1: 178, PA 2: 179, PA 3: 180, PM 1: 181, PM2: 182, PS 1: 183, PS 2: 184, OA: 185 Chapter 3: Objective 2: CD 1: Solve linear equations with multiplication and division. 190, CD 2: , CD3: , PA 1: 195, PA 2: , PM 1: 198, PM2: 199, PS 1: 200, PS 2: 201, OA: 203 Chapter 3: Objective 3: Solve linear equations using one or more operations. CD 1: 208, CD 2: 209, CD3: 210, PA 1: 211, PA 2: , PA 3: 215, PM 1: 216, PM2: 217, PM3: 218, PM 4: 219, PS 1: 220, PS 2: 221, OA: 223 Chapter 3: Objective 4: Solve problems that can be represented as equations. CD 1: 228, CD 2: , PA 1: 231, PA 2: 232, PM 1: 233, PM2: 234, PS 1: 235, OA: 237 Chapter 7: Objective 1: Solve systems of equations by graphing. CD 1: , CD 2: 574, CD 3: , CD 4: 577, PA 1: 578, PA 2: 579, PM 1: 580, PM 2: 581, PS 1: 582, PS 2: 583, OA: 585 Chapter 7: Objective 1: Solve systems of equations by graphing. CD 1: , CD 2: 574, CD 3: , CD 4: 577, PA 1: 578, PA 2: 579, PM 1: 580, PM 2: 581, PS 1: 582, PS 2: 583, OA: 585 Chapter 7: Objective 2: Determine whether a system of equations has one solution, no solutions, or infinite solutions. CD 1: , CD 2: 592, CD 3: 593, CD 4: 594, PA 1: , PA 2: , PM 1: 599, PM 2: 600, PS 1: 601, PS 2: 602, OA: 603 Page 5 of 14

7 FA.AREI.10* Explain that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane. FA.AREI.11* Solve an equation of the form (x) = g(x) graphically by identifying the x- coordinate(s) of the point(s) of intersection of the graphs of y = f(x) and y = g(x). (Limit to linear; quadratic; exponential.) FA.AREI.12* Graph the solutions to a linear inequality in two variables. Chapter 7: Objective 3: Solve systems of equations using the substitution method. CD 1: , CD 2: 610, CD 3: 611, PA 1: , PA 2: 614, PA 3: , PM 1: 617, PM 2: 618, PM 3: 619, PM 4: 620, PS 1: 621, PS 2: 622, OA: 623 Chapter 7: Objective 4: Solve systems of equations by eliminating one variable. CD 1: 628, CD 2: , CD 3: , PA 1: 633, PA 2: 634, PA 3: , PM 1: 637, PM 2: 638, PS 1: 639, PS 2: 640, OA: 641 Chapter 7: Objective 5: Solve systems of inequalities by graphing. CD 1: 646, CD 2: 647, CD 3: , PA 1: 650, PA 2: 651, PM 1: 652, PM 2: 653, PM 3: 654, PS 1: 655, PS 2: 656, OA: Chapter 4: Objective 4: Graph linear equations. CD 1: , CD 2: , PA 1: 332, PA 2: 333, PM 1: 334, PM2: 335, PM3: 336, PS 1: 337, PS 2: , OA: 341 Chapter 7: Objective 1: Solve systems of equations by graphing. CD 1: , CD 2: 574, CD 3: , CD 4: 577, PA 1: 578, PA 2: 579, PM 1: 580, PM 2: 581, PS 1: 582, PS 2: 583, OA: 585 Chapter 6: Objective 1: Solve and graph the solution set of inequalities with addition and subtraction. CD 1: 472, CD 2: , CD 3: , CD 4: , PA 1: 479, PA 2: , PM 1: 482, PM 2: 483, PM 3: 484, PS 1: 485, OA: 487 Chapter 6: Objective 2: Solve and graph the solution set of inequalities with multiplication and division. CD 1: , CD 2: , PA 1: , PA 2: 498, PM 1: 499, PM 2: 500, PS 1: 501, OA: 503 Chapter 6: Objective 3: Solve and graph the solution set of inequalities using more than one operation. CD 1: 508, CD 2: , PA 1: , PA 2: , PM 1: 515, PM 2: 516, PM 3: 517, PS 1: , PS 2: 520, OA: 521 Page 6 of 14

8 Chapter 6: Objective 4: Solve and graph the solution set of compound inequalities and inequalities involving absolute value. CD 1: , CD 2: , CD 3: , CD 4: , PA 1: 534, PA 2: 535, PM 1: 536, PM 2: 537, PM 3: 538, PM 4: 539, PM 5: 540, PS 1: 541, PS 2: 542, OA: 543 Chapter 6: Objective 5: Graph inequalities in the coordinate plane. CD 1: 548, CD 2: , PA 1: 551, PA 2: 552, PM 1: 553, PM 2: 554, PM 3: 555, PS 1: 556, PS 2: , OA: Key Concept: Structure and Expressions FA.ASE.1* Interpret the meanings of coefficients, factors, terms, and expressions based on their real- world contexts. Interpret complicated expressions as being composed of simpler expressions. (Limit to linear; quadratic; exponential.) Chapter 5: Objective 2: Write the equation of a line in standard form given two points on the line. CD 1: , CD 2: , PA 1: 394, PA 2: 395, PM 1: 396, PM2: 397, PM 3: 398, PS 1: 399, PS 2: 400, OA: 401 Key Concept: Building Functions FA.FBF.3* Describe the effect of the transformations k(x), f(x) + k, f(x + k), and combinations of such transformations on the graph of y = f(x) for any real number k. Find the value of k given the graphs and write the equation of a transformed parent function given its graph. (Limit to linear; quadratic; exponential with integer exponents; vertical shift and vertical stretch.) Key Concept: Interpreting Functions Chapter 10: Objective 1: Graph parabolas, and find the coordinates of the vertex and axis of symmetry. CD 1: , CD 2: , CD 3: , CD 4: , CD 5: , CD6: , PA 1: 880, PA 2: , PM 1: 884, PM 2: 885, PM 3: 886, PM 4: 887, PS 1: 888, OA: 889 Page 7 of 14

9 FA.FIF.1* Extend previous knowledge of a function to apply to general behavior and features of a function. a. Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. b. Represent a function using function notation and explain that (x) denotes the output of function f that corresponds to the input x. c. Understand that the graph of a function labeled as f is the set of all ordered pairs (x, y) that satisfy the equation y = (x). FA.FIF.2* Evaluate functions and interpret the meaning of expressions involving function notation from a mathematical perspective and in terms of the context when the function describes a real- world situation. FA.FIF.4* Interpret key features of a function that models the relationship between two quantities when given in graphical or tabular form. Sketch the graph of a function from a verbal description showing key features. Key features include intercepts; intervals where the function is increasing, decreasing, constant, positive, or negative; relative maximums and minimums; symmetries; end behavior and periodicity. (Limit to linear; quadratic; exponential.) Chapter 4: Objective 2: Identify the domain, range, and the inverse of an operation. CD 1: 298, CD 2: , PA 1: 301, PA 2: 302, PM 1: 303, PM2: 304, PS 1: 305, PS 2: 306, OA: 307 Chapter 4: Objective 3: Determine the range for a given domain of a relation. CD 1: 312, CD 2: 313, PA 1: 314, PA 2: 315, PA 3: 316, PM 1: 317, PM2: 318, PM3: 319, PS 1: , OA: 323 Chapter 4: Objective 4: Graph linear equations. CD 1: , CD 2: , PA 1: 332, PA 2: 333, PM 1: 334, PM2: 335, PM3: 336, PS 1: 337, PS 2: , OA: 341 Chapter 4: Objective 5: Determine whether a relation is a function, and find a value for a given function. CD 1: , CD 2: , CD 3: , PA 1: 352, PA 2: 353, PM 1: 354, PM2: 355, PS 1: 356, OA: Chapter 4: Objective 5: Determine whether a relation is a function, and find a value for a given function. CD 1: , CD 2: , CD 3: , PA 1: 352, PA 2: 353, PM 1: 354, PM2: 355, PS 1: 356, OA: Chapter 4: Objective 5: Determine whether a relation is a function, and find a value for a given function. CD 1: , CD 2: , CD 3: , PA 1: 352, PA 2: 353, PM 1: 354, PM2: 355, PS 1: 356, OA: Chapter 5: Objective 4: Write linear equations in slope- intercept form to find the slope, x- intercept and y- intercept and sketch the graph. CD 1: , CD 2: 422, CD 3: 423, CD 4: , CD 5: , CD 6: , PA 1: , PA 2: 433, PM 1: 434, PM2: 435, PM 3: 436, PM 4: 437, PS 1: 438, OA: 439 Chapter 10: Objective 1: Graph parabolas, and find the coordinates of the vertex and axis of symmetry. CD 1: , CD 2: , CD 3: , CD Page 8 of 14

10 FA.FIF.5* Relate the domain and range of a function to its graph and, where applicable, to the quantitative relationship it describes. (Limit to linear; quadratic; exponential.) 4: , CD 5: , CD6: , PA 1: 880, PA 2: , PM 1: 884, PM 2: 885, PM 3: 886, PM 4: 887, PS 1: 888, OA: 889 Chapter 10: Objective 2: Estimate the roots of a quadratic equation by graphing the associated function. CD 1: , CD 2: , PA 1: 898, PA 2: 899, PM 1: 900, PM 2: 901, PS 1: 902, OA: 903 Chapter 4: Objective 2: Identify the domain, range, and the inverse of an operation. CD 1: 298, CD 2: , PA 1: 301, PA 2: 302, PM 1: 303, PM2: 304, PS 1: 305, PS 2: 306, OA: 307 Chapter 4: Objective 3: Determine the range for a given domain of a relation. CD 1: 312, CD 2: 313, PA 1: 314, PA 2: 315, PA 3: 316, PM 1: 317, PM2: 318, PM3: 319, PS 1: , OA: 323 FA.FIF.7* Graph functions from their symbolic representations. Indicate key features including intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior and periodicity. Graph simple cases by hand and use technology for complicated cases. (Limit to linear; quadratic; exponential only in form y = a + k.) FA.FIF.8* Translate between different but equivalent forms of a function equation to reveal and explain different properties of the function. (Limit to linear; quadratic; exponential.) (Note: FA.FIF.8a is not a Graduation Standard.) a. Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context. Chapter 10: Objective 4: Graph exponential functions, and solve problems using graphs. CD 1: 926, CD 2: 927, CD 3: 928, CD 4: , PA 1: 931, PA 2: 932, PM 1: 933, PM 2: 934, PS 1: 935, OA: Chapter 10: Objective 2: Estimate the roots of a quadratic equation by graphing the associated function. CD 1: , CD 2: , PA 1: 898, PA 2: 899, PM 1: 900, PM 2: 901, PS 1: 902, OA: 903 Chapter 9: Objective 1: Find the greatest common factor through prime factorization for integers and sets of monomials. CD 1: , CD 2: 774, CD 3: 775, PA 1: 776, PA 2: 777, PA 3: 778, PA 4: 779, PM 1: 780, PM 2: 781, PM 3: 782, PS 1: 783, OA: 785 Chapter 9: Objective 2:Use the greatest common factor and the Distributive Property to factor polynomials with the grouping technique; use techniques to solve operations. Page 9 of 14

11 FA.FIF.9* Compare properties of two functions given in different representations such as algebraic, graphical, tabular, or verbal. (Limit to linear; quadratic; exponential.) CD 1: , CD 2: 792, CD 3: , CD 4: 795, PA 1: 796, PA 2: 797, PA 3: 798, PM 1: 799, PM 2: 800, PM 3: 801, PS 1: 802, OA: 803 Chapter 9: Objective 3: Factor quadratic trinomials of the form ax 2 + bx + c, and solve equations by factoring. CD 1: , CD 2: 810, CD 3: 811, PA 1: 812, PA 2: 813, PM 1: 814, PM 2: 815, PM 3: 816, PM 4: 817, Pm 5: 818, PS 1: 819, PS 2: 820, OA: 821 Chapter 9: Objective 4: Factor quadratic polynomials that are perfect squares or differences of squares, and solve equations by factoring. CD 1: 826, CD 2: , CD 3: 829, CD 4: 830, CD 5: 831, PA 1: 832, PA 2: 833, PA 3: 834, PA 4: 835, PM 1: 836, PM 2: 837, PM 3: 838, PM 4: 839, PS 1: 840, PS 2: 841, OA: 843 Chapter 9: Objective 5: Solve quadratic equations by completing the square. CD 1: , PA 1: 850, PM 1: 851, PM 2: 852, PS 1: 853, OA: Chapter 4: Objective 3: Determine the range for a given domain of a relation. CD 1: 312, CD 2: 313, PA 1: 314, PA 2: 315, PA 3: 316, PM 1: 317, PM2: 318, PM3: 319, PS 1: , OA: 323 Key Concept: Linear, Quadratic, and Exponential FA.FLQE.1* Distinguish between situations that can be modeled with linear functions or exponential functions by recognizing situations in which one quantity changes at a constant rate per unit interval as opposed to those in which a quantity changes by a constant percent rate per unit interval. (Note: FA.FLQE.1a is not a Graduation Standard.) a. Prove that linear functions grow by equal differences over equal intervals and that exponential functions grow by equal factors over equal intervals. FA.FLQE.3* Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, Chapter 10: Objective 4: Graph exponential functions, and solve problems using graphs. CD 1: 926, CD 2: 927, CD 3: 928, CD 4: , PA 1: 931, PA 2: 932, PM 1: 933, PM 2: 934, PS 1: 935, OA: Chapter 10: Objective 4: Graph exponential functions, and solve problems using graphs. CD 1: 926, CD 2: 927, CD 3: 928, CD 4: , Page 10 of 14

12 quadratically, or more generally as a polynomial function. FA.FLQE.5* Interpret the parameters in a linear or exponential function in terms of the context. (Limit to linear.) Key Concept: Quantities FA.NQ.1* Use units of measurement to guide the solution of multi- step tasks. Choose and interpret appropriate labels, units, and scales when constructing graphs and other data displays. FA.NQ.2* Label and define appropriate quantities in descriptive modeling contexts. FA.NQ.3* Choose a level of accuracy appropriate to limitations on measurement when reporting quantities in context. Key Concept: Real Number System FA.NRNS.1* Rewrite expressions involving simple radicals and rational exponents in different forms. PA 1: 931, PA 2: 932, PM 1: 933, PM 2: 934, PS 1: 935, OA: Chapter 10: Objective 4: Graph exponential functions, and solve problems using graphs. CD 1: 926, CD 2: 927, CD 3: 928, CD 4: , PA 1: 931, PA 2: 932, PM 1: 933, PM 2: 934, PS 1: 935, OA: Chapter 12: Objective 3: Use the Pythagorean theorem to solve problems. CD 1: , CD 2: 1082, CD 3: 1083, PA 1: 1084, PA 2: 1085, PM 1: 1086, PM 2: 1087, PS 1: 1088, PS 2: 1089, PS 3: 1090, OA: 1091 Chapter 2: Objective 3: Compare and order rational numbers. CD 1: , CD 2: 118, PA 1: 119, PA 2: 120, PA 3: 121, PM 1: 122, PM2: 123, PM 3: 124, PS 1: 125, PS 2: 126, OA: 127 the standard: Chapter 2: Objective 5: CD 1: 148, CD 2: 149, CD 3: , PA 1: 152, PA 2: 153, PA 3: 154, PM 1: 155, PM2: 156, PM 3: 157, PS 1: 158, PS 2: 159, OA: ; (Find the principal square root of a number.) Chapter 2: Objective 5: CD 1: 148, CD 2: 149, CD 3: , PA 1: 152, PA 2: 153, PA 3: 154, PM 1: 155, PM2: 156, PM 3: 157, PS 1: 158, PS 2: 159, OA: ; (Find the principal square root of a number.) Chapter 8: Objective 1: Multiply and divide monomials and simplify expressions. CD 1: 670, CD 2: 671, CD 3: 672, PA 1: 673, PA 2: 674, PA 3: , PM 1: 677, PM 2: 678, PM 3: 679, PM 4: 680, PS 1: 681, PS 2: 682, OA: 683 Chapter 10: Objective 3: Solve quadratic equations by factoring or using the quadratic formula. CD 1: 908, CD 2: 909, CD 3: 910, CD 4: , PA 1: 913, PA 2: 914, PM 1: 915, PM 2: 916, Page 11 of 14

13 FA.NRNS.2* Use the definition of the meaning of rational exponents to translate between rational exponent and radical forms. FA.NRNS.3 Explain why the sum or product of rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. PM 3: 917, PS 1: , OA: 921 Chapter 12: Objective 1: Simplify and perform operations with radical expressions. CD 1: 1040, CD 2: 1041, CD 3: 1042, CD 4: 1043, CD 5: 1044, CD 6: 1045, CD7: 1046, PA 1: , PA 2: , PA 3: 1051, PM 1: 1052, PM 2: 1053, PM 3: 1054, PM 4: 1055, PM 5: 1056, PM 6: 1057, PS 1: 1058, PS 2: 1059, OA: 1061 Chapter 12: Objective 2: Solve equations with radical expressions. CD 1: 1066, CD 2: 1067, CD 3: , PA 1: 1070, PA 2: 1071, PM 1: 1072, PM 2: 1073, PS 1: 1074, OA: 1075 the standard: Chapter 2: Objective 1: Graph rational numbers on a number line. CD 1: 82-83, CD 2: 84, PA 1: 85, PM 1: 86, PM2: 87, PM 3: 88, PS 1: 89, PS 2: 90, OA: 91 Chapter 8: Objective 1: Multiply and divide monomials and simplify expressions. CD 1: 670, CD 2: 671, CD 3: 672, PA 1: 673, PA 2: 674, PA 3: , PM 1: 677, PM 2: 678, PM 3: 679, PM 4: 680, PS 1: 681, PS 2: 682, OA: 683 Chapter 10: Objective 4: Graph exponential functions, and solve problems using graphs. CD 1: 926, CD 2: 927, CD 3: 928, CD 4: , PA 1: 931, PA 2: 932, PM 1: 933, PM 2: 934, PS 1: 935, OA: Chapter 12: Objective 1: Simplify and perform operations with radical expressions. CD 1: 1040, CD 2: 1041, CD 3: 1042, CD 4: 1043, CD 5: 1044, CD 6: 1045, CD7: 1046, PA 1: , PA 2: , PA 3: 1051, PM 1: 1052, PM 2: 1053, PM 3: 1054, PM 4: 1055, PM 5: 1056, PM 6: 1057, PS 1: 1058, PS 2: 1059, OA: 1061 Chapter 11: Objective 4: Add and subtract rational expressions. CD 1: , CD 2: , CD 3: 1004, PA 1: , PA 2: 1008, PM 1: 1009, PM 2: 1010, PM 3: 1011, PS 1: 1012, OA: 1013 Page 12 of 14

14 Key Concept: Interpreting Data FA.SPID.5* Analyze bivariate categorical data using two- way tables and identify possible associations between the two categories using marginal, joint, and conditional frequencies. FA.SPID.6* Using technology, create scatterplots and analyze those plots to compare the fit of linear, quadratic, or exponential models to a given data set. Select the appropriate model, fit a function to the data set, and use the function to solve problems in the context of the data. FA.SPID.7* Create a linear function to graphically model data from a real- world problem and interpret the meaning of the slope and intercept(s) in the context of the given problem. FA.SPID.8* Using technology, compute and interpret the correlation coefficient of a linear fit. the standard: Chapter 2: Objective 3: Compare and order rational numbers. CD 1: , CD 2: 118, PA 1: 119, PA 2: 120, PA 3: 121, PM 1: 122, PM2: 123, PM 3: 124, PS 1: 125, PS 2: 126, OA: 127 Chapter 4: Objective 2: Identify the domain, range, and the inverse of an operation. CD 1: 298, CD 2: , PA 1: 301, PA 2: 302, PM 1: 303, PM2: 304, PS 1: 305, PS 2: 306, OA: 307 Chapter 4: Objective 3: Determine the range for a given domain of a relation. CD 1: 312, CD 2: 313, PA 1: 314, PA 2: 315, PA 3: 316, PM 1: 317, PM2: 318, PM3: 319, PS 1: , OA: 323 Chapter 5: Objective 3: Draw a best fit line and find the equation of the best fit line for a scatter plot. CD 1: , CD 2: 408, PA 1: 409, PM 1: 410, PM2: 411, PM 3: 412, PS 1: 413, PS 2: 414, OA: 415 Chapter 5: Objective 4: Write linear equations in slope- intercept form to find the slope, x- intercept and y- intercept and sketch the graph. CD 1: , CD 2: 422, CD 3: 423, CD 4: , CD 5: , CD 6: , PA 1: , PA 2: 433, PM 1: 434, PM2: 435, PM 3: 436, PM 4: 437, PS 1: 438, OA: 439 the standard: Chapter 5: Objective 3: Draw a best fit line and find the equation of the best fit line for a scatter plot. CD 1: , CD 2: 408, PA 1: 409, PM 1: 410, PM2: 411, PM 3: 412, PS 1: 413, PS 2: 414, OA: 415 Key Concept: Making Inferences and Justifying Conclusions FA.SPMJ.1* Understand statistics and sampling distributions as a process for making inferences the standard: Chapter 2: Objective 1: Graph Page 13 of 14

15 about population parameters based on a random sample from that population. FA.SPMJ.2* Distinguish between experimental and theoretical probabilities. Collect data on a chance event and use the relative frequency to estimate the theoretical probability of that event. Determine whether a given probability model is consistent with experimental results. Key Concept: Using Probability to Make Decisions FA.SPMD.4* Use probability to evaluate outcomes of decisions by finding expected values and determine if decisions are fair. rational numbers on a number line. CD 1: 82-83, CD 2: 84, PA 1: 85, PM 1: 86, PM2: 87, PM 3: 88, PS 1: 89, PS 2: 90, OA: 91 the standard: Chapter 2: Objective 2: Add and subtract rational numbers. CD 1: 96, CD 2: 97, CD 3: 98-99, CD 4: , PA 1: 102, PA 2: 103, PA 3: 104, PM 1: 105, PM2: 106, PM 3: 107, PM 4: 108, PS 1: 109, PS 2: 110, OA: 111 the standard: Chapter 2: Objective 3: Compare and order rational numbers. CD 1: , CD 2: 118, PA 1: 119, PA 2: 120, PA 3: 121, PM 1: 122, PM2: 123, PM 3: 124, PS 1: 125, PS 2: 126, OA: 127 FA.SPMD.5* Use probability to evaluate outcomes of decisions. Use probabilities to make fair decisions. FA.SPMD.6* Analyze decisions and strategies using probability concepts. the standard: Chapter 3: Objective 5: Solve proportions that have a missing part. CD 1: , CD 2: , PA 1: , PA 2: 249, PA 3: 250, PM 1: 251, PM2: 252, PM 3: 253, PS 1: 254, OA: 255 the standard: Chapter 3: Objective 6: Use proportions to solve percent problems. CD 1: 260, CD 2: , PA 1: , PA 2: 265, PM 1: 266, PM2: 267, PM 3: 268, PS 1: 269, OA: Page 14 of 14