correlated to the - McDougal Littell 10.4: Find Probabilities of Disjoint and Overlapping Events, 707-713 Lesson 10.5: Find Probabilities of Independent and Dependent Events, 717-723

correlated to the

MichiganMerit CurriculumCourse / CreditRequirementsAlgebra II

Michigan Edition

Michigan Edition

McDougal Littell Algebra 2 / Algebra 1 ©2008 (Michigan Editions)

correlated to the

Michigan Merit Curriuclum

Course / Credit Requirements Algebra II

STRAND 1: QUANTITATIVE LITERACY AND LOGIC (L)

STANDARD L1: REASONING ABOUT NUMBERS, SYSTEMS AND QUANTITATIVE SITUATIONS Based on their knowledge of the properties of arithmetic, students understand and reason about numbers, number systems and the relationship between them. They represent quantitative relationships using mathematical symbols and interpret relationships from those representations.

L1.2 Representations and Relationships

L1.2.1 Use mathematical symbols to represent quantitative relationships and situations.

Alg. 2: Symbols throughout, e.g., 2, 3, 4, 26, 41, 51, 52, 72, 75, 82, 84, 178, 187, 203, 210, 266, 275, 279, 339, 414, 428, 492, 499, 500, 684, 685, 690, 698, 715, 716, 744, 745, 796, 852, 875; Table of Symbols, 1024

Alg. 1: Symbols throughout, e.g., 2, 3, 9, 21, 22, 43, 64, 66, 94, 103, 110, 112, 162, 174, 213,

235, 244, 253, 262, 380, 503, 510, 512, 844, 852, 856, 875, 879; Table of Symbols, 951

L1.3 Counting and Probabilistic Reasoning

L1.3.1 Describe, explain and apply various counting techniques; relate combinations to Pascal’s triangle; know when to use each technique.

Alg. 2: Lesson 10.1: Apply the Counting Principle and Permutations, 682-689 Lesson 10.2: Use Combinations and the Binomial Theorem, 690-697 Lesson 10.3: Define and Use Probability, 699, 702-704

Lesson 10.5: Find Probabilities of Independent and Dependent Events, 718 Alg. 1: Lesson 13.2: Find Probabilities Using Permutations, 851-855

Lesson 13.3: Find Probabilities Using Combinations, 856-859, 860

L1.3.2 Define and interpret commonly used expressions of probability.

Alg. 2: Lesson 10.3: Define and Use Probability, 698-705 Lesson 10.4: Find Probabilities of Disjoint and Overlapping Events, 707-713 Lesson 10.5: Find Probabilities of Independent and Dependent Events, 717-723

Alg. 1: Lesson 13.1: Find Probabilities and Odds, 843-848

Lesson 13.4: Find Probabilities of Compound Events, 861-867

1

McDougal Littell Algebra 2, Algebra 1 ©2007 (Michigan Editions) correlated to the Michigan Merit Curriculum Course/Credit Requirements, Algebra II

2

L1.3.3 Recognize and explain common probability misconceptions such as “hot streaks” and “being due.”

Alg. 2: (related topics) Lesson 10.3: Define and Use Probability, 698, 702, 704 Lesson 10.4: Find Probabilities of Disjoint and Overlapping Events, 711, 712 Lesson 10.5: Find Probabilities of Independent and Dependent Events, 719, 722, 723

Alg. 1: Lesson 13.1: Find Probabilities and Odds, 846, 847

Lesson 13.4: Find Probabilities of Compound Events, 866


3

STANDARD L2: CALCULATION, ALGORITHMS AND ESTIMATION Students calculate fluently, estimate proficiently and describe and use algorithms in appropriate situations (e.g., approximating solutions to equations.) They understand the basic ideas of iteration and algorithms.

L2.1 Calculation Using Real and Complex Numbers

L2.1.3 Explain the exponential relationship between a number and its base 10 logarithm and use it to relate rules of logarithms to those of exponents in expressions involving numbers.

Alg. 2: Lesson 7.4: Evaluate Logarithms, 499-501, 503-505 Lesson 7.5: Apply Properties of Logarithms, 507-513 Lesson 7.6: Solve Exponential and Logarithmic Equations, 515-522

Alg. 1: Additional Lesson J: Evaluating Logarithmic Functions, A20-A21 Additional Lesson L: Applying Properties of Logarithms, A24-A25

L2.1.5 Add, subtract and multiply complex numbers; use conjugates to simplify quotients of complex

numbers.

Alg. 2: Lesson 4.6: Perform Operations with Complex Numbers, 275-282 Alg. 1: Additional Lesson K: Complex Numbers, A22-A23

L2.2 Sequences and Iteration

L2.2.1 Find the nth term in arithmetic, geometric, or other simple sequences.

Alg. 2: Lesson 12.1: Sequence and Series, 794-796, 798-800, 801 Lesson 12.2: Analyze Arithmetic Sequences and Series, 802-809 Lesson 12.3: Analyze Geometric Sequences and Series, 810-817

L2.2.2 Compute sums of finite arithmetic and geometric sequences.

Alg. 2: Lesson 12.1: Sequence and Series, 797, 799-800, 801 Lesson 12.2: Analyze Arithmetic Sequences and Series, 804-809 Lesson 12.3: Analyze Geometric Sequences and Series, 812-817

L2.2.3 Use iterative processes in such examples as computing compound interest or applying

approximation procedures.

Alg. 2: Lesson 12.5: Use Recursive Rules with Sequences and Functions, 826, 827-833, 834-835 Additional Lesson D: Approximation/Upper and Lower Bounds, A8-A9

L2.3 Measurement Units, Calculations and Scales

L2.3.2 Describe and interpret logarithmic relationships in such contexts as the Richter scale, the pH scale or decibel measurements; solve applied problems.

Alg. 2: Lesson 7.5: Logarithmic Scales, 507, 511, 512 Lesson 7.6: Logarithmic Scales, 521-522, 524, 525

Alg. 1: Lesson 2.1: Sound Intensity, 69; Apparent and Absolute Magnitude, 70 Additional Lesson L: Complex Numbers, A24-A25


4

L2.4 Understanding Error

L2.4.1 Determine what degree of accuracy is reasonable for measurements in a given situation; express accuracy through use of significant digits, error tolerance or percent of error; describe how errors in measurements are magnified by computation; recognize accumulated error in applied situations.

Alg. 2: Lesson 1.7: Tolerance, 54, 57, 58 Lesson 5.1: Scientific Notation, 332, 334-335 Lesson 11.4: Margin of Error, 768-771 Skills Review Handbook: Significant Digits, 983

Alg. 1: Lesson 6.5: Absolute Deviation, 392, 393, 394-395

Lesson 6.6: Relative Absolute Deviation, 403 Lesson 8.4: Use Scientific Notation, 514, 516-518, 519

L2.4.2 Describe and explain round-off error, rounding and truncating.

Alg. 2: Skills Review Handbook: Significant Digits, 983

L2.4.3 Know the meaning of and interpret statistical significance, margin of error and confidence level.

Alg. 2: Lesson 11.4: Margin of Error, 768-771 Additional Lesson G: Confidence Levels, A14-A15

Alg. 1: Lesson 6.5: Absolute Deviation, 392, 393, 394-395 Lesson 6.6: Relative Absolute Deviation, 403


5

RECOMMENDED:

*L1.2.5 Read and interpret representations from various technological sources, such as contour or isobar diagrams.

Alg. 2: Lesson 1.3: Activity: Use Tables to Solve Equations, 25 Lesson 2.3: Activity: Graph Equations, 97 Lesson 2.3: Activity: Exploring Transformations, 121-122

Lesson 3.1: Activity: Solving Linear Systems Using Tables, 152 Lesson 3.1: Activity: Graph Systems of Equations, 159

Lesson 4.1: Activity: Find Maximum and Minimum Values, 244 Lesson 4.10: Activity: Modeling Data with a Quadratic Function, 308 Lesson 5.2: Activity: End Behavior of Polynomial Functions, 336 Lesson 5.2: Activity: Set a Good Viewing Window, 345 Lesson 7.5: Activity: Graph Logarithmic Functions, 514 Lesson 8.2: Activity: Graph Rational Functions, 564 Lesson 9.3: Activity, Graph Equations of Circles, 633 Lesson 10.6: Activity: Create a Binomial Distribution, 731 Lesson 14.5: Activity: Collect and Model Trigonometric Data, 948

Alg. 1: Lesson 5.7: Activity: Model Data from the Internet, 342

*L2.1.7 Understand the mathematical bases for the differences among voting procedures.

Alg. 2: (related topics) Lesson 11.4: Select and Draw Conclusions from Samples, 766-771 Lesson 11.4: Extension: Design Surveys and Experiments, 772-773

Alg. 1: (related topic)

Lesson 13.5: Analyze Surveys and Samples, 871-874

*L2.2.4 Compute sums of infinite geometric sequences.

Alg. 2: Lesson 12.4: Find Sums of Infinite Geometric Series, 819, 820-825


6

STRAND 2: ALGEBRA AND FUNCTIONS (A)

STANDARD A1: EXPRESSIONS, EQUATIONS AND INEQUALITIES Students recognize, construct, interpret and evaluate expressions. They fluently transform symbolic expressions into equivalent forms. They determine appropriate techniques for solving each type of equation, inequality or system of equations, apply the techniques correctly to solve, justify the steps in the solutions and draw conclusions from the solutions. They know and apply common formulas.

A1.1 Construction, Interpretation and Manipulation of Expressions

A1.1.1 Give a verbal description of an expression that is presented in symbolic form, write an algebraic expression from a verbal description, and evaluate expressions given values of the variables.

Alg 2: Lesson 1.2: Evaluate and Simplify Algebraic Expressions, 10-16, 17 Lesson 5.1: Use Properties of Exponents, 331-335 Lesson 6.2: Apply Properties of Rational Exponents, 423, 425-427 Skills Review Handbook: Writing Algebraic Expressions, 984

Alg 1: Lesson 1.1: Evaluate Expressions, 2-7 Lesson 1.2: Use Order of Operations, 8-12, 13 Lesson 1.3: Activity: Patterns and Expressions, 14 Lesson 1.3: Write Expressions, 15-20

A1.1.4 Add, subtract, multiply and simplify polynomials and rational expressions.

Alg. 2: Lesson 5.3: Add, Subtract, and Multiply Polynomials, 346-352 Lesson 8.4: Multiply and Divide Rational Expressions, 573-580, 581 Lesson 8.5: Add and Subtract Rational Expressions, 582-588 Skills Review Handbook: Binomial Products, 985

Alg. 1: Lesson 9.1: Add and Subtract Polynomials, 554-559

Lesson 9.2: Multiply Polynomials, 561, 562-568 Lesson 9.3: Find Special Products of Polynomials, 569-574 Lesson 12.4: Simplify Rational Expressions, 794-800 Lesson 12.5: Multiply and Divide Rational Expressions, 802-809 Lesson 12.5: Extension: Simplify Complex Fractions, 810-811 Lesson 12.6: Add and Subtract Rational Expressions, 812-819

A1.1.5 Divide a polynomial by a monomial.

Alg. 2: (related topic) Lesson 5.5: Apply the Remainder and Factor Theorems, 362-368, 985

Alg. 1: Lesson 12.3: Divide Polynomials, 784, 787, 788

A1.1.6 Transform exponential and logarithmic expressions into equivalent forms using the properties of

exponents and logarithms, including the inverse relationship between exponents and logarithms.

Alg. 2: Lesson 7.4: Evaluate Logarithms, 499, 501, 503, 504 Lesson 7.5: Apply Properties of Logarithms, 507-513

Alg. 1: Additional Lesson J: Evaluating Logarithmic Functions, A20-A21 Additional Lesson L: Applying Properties of Logarithms, A24-A25


7

A1.2 Solutions of Equations and Inequalities

A1.2.2 Associate a given equation with a function whose zeros are the solutions of the equation.

Alg. 2: Lesson 2.1: Functions as Equations in Two Variables, 74-75 Lesson 4.3: Zeros of Quadratic Functions, 254-256 Lesson 4.4: Factoring and Zeros, 262 Lesson 5.6: Find Rational Zeros, 370-377, 378 Lesson 5.7: Apply the Fundamental Theorem of Algebra, 379-386

Alg. 1: Lesson 5.7: Predict with Linear Models, 337-340

Lesson 10.2: Extension: Graph Quadratic Functions in Intercept Form, 641 Lesson 10.3: Solve Quadratic Equations by Graphing, 646, 648-649

A1.2.5 Solve polynomial equations and equations involving rational expressions and justify steps in the

solution.

Alg. 2: Lesson 5.4: Factor and Solve Polynomial Equations, 353-359, 360-361 Lesson 8.6: Solve Rational Equations, 589-595, 596-597

Alg. 1: Lesson 9.4: Solve Polynomial Equations in Factored Form, 575-580

Lesson 9.5: Factor x2 + bx + c, 585-589 Lesson 9.6: Factor ax2 + bx + c, 595-599 Lesson 12.7: Solve Rational Equations, 820-826, 827-828

A1.2.7 Solve exponential and logarithmic equations and justify steps in the solution.

Alg. 2: Lesson 7.6: Solve Exponential and Logarithmic Equations, 515-522, 523-525 Alg. 1: (related topic)

Lesson 8.6: Exponential Growth and Decay, 534, 536-538

A1.2.8 Solve an equation involving several variables (with numerical or letter coefficients) for a

designated variable and justify steps in the solution.

Alg. 2: Lesson 1.4: Rewrite Formulas and Equations, 26-32 Alg. 1: Lesson 3.8: Rewrite Equations and Formulas, 184-189


8

A1.2.9 Known common formulas and apply appropriately in contextual situations.

Alg. 2: Lesson 1.4: Rewrite Formulas and Equations, 26-32 Lesson 1.5: Use Problem Solving Strategies and Models, 34-40 Lesson 1.6: Solving Linear Inequalities, 44, 47 Lesson 2.2: Find Slope and Rate of Change, 82-88 Lesson 4.8: Use the Quadratic Formula and the Discriminant, 292-299 Lesson 5.1: Use Properties of Exponents, 332, 334-335 Lesson 5.6: Find Rational Zeros, 373, 376 Lesson 6.5: Graph Square Root and Cube Root Functions, 450 Lesson 7.1: Graph Exponential Growth Functions, 481, 483-485 Lesson 7.3: Use Functions Involving e, 494-495, 497 Lesson 8.3: Graph General Ration Functions, 567, 569 Lesson 9.1: Apply the Distance and Midpoint Formulas, 614-619 Tables: Formulas, 1026-1032

Alg. 1: Lesson 1.5: Use a Problem Solving Plan: 30, 31-33

Lesson 3.8: Rewrite Equations and Formulas, 184-189 Lesson 4.4: Find Slope and Rate of Change, 235-242 Lesson 7.3: Write and Solve a Linear System, 446, 449-450 Lesson 8.5: Compound Interest, 523, 525, 527 Lesson 10.6: Solve Quadratic Equations by the Quadratic Formula, 671-676, 677 Lesson 11.5: Apply the Distance and Midpoint Formulas, 744-750 Tables: Formulas, 952-953

A1.2.10 Use special values of the inverse trigonometric functions to solve trigonometric equations over

specific intervals.

Alg. 2: Lesson 14.4: Solve Trigonometric Equations, 931-937, 938-939


9

STANDARD A2: FUNCTIONS Students understand functions, their representations and their attributes. They perform transformations, combine and compose functions and find inverses. Students classify functions and know the characteristics of each family. They work with functions with real coefficients fluently. Students construct or select a function to model a real-world situation in order to solve applied problems. They draw on their knowledge of families of functions to do so.

A2.1 Definitions, Representations and Attributes of Functions

A2.1.1 Recognize whether a relationship (given in contextual, symbolic, tabular, or graphical form) is a function and identify its domain and range.

Alg. 2: Lesson 2.1: Represent Relations and Functions, 73-74, 76-77, 79 Lesson 6.4: Inverse Functions, 438, 440, 441, 443 Lesson 9.2: Identify Functions, 620

Alg. 1: Lesson 1.6: Represent Functions as Rules and Tables, 35-40 Lesson 1.7: Represent Functions as Graphs, 44-46

Lesson 1.7: Extension: Determine Whether a Relation Is a Function, 49-50 Lesson 4.1: Plot Points in the Coordinate Plane, 207, 210 Lesson 4.2: Graph Linear Equations, 217-221 Lesson 4.7: Graph Linear Functions, 263, 267-268 Lesson 5.6: Fit a Line to Data, 328 Lesson 8.5: Write and Graph Exponential Growth Functions, 521, 524 Lesson 8.6: Write and Graph Exponential Decay Functions, 532, 535 Lesson 10.1: Graph y = ax2+c, 631, 633 Lesson 11.1: Graph Square Root Functions, 710-716

Lesson 12.2: Graph Rational Functions, 776-777, 779-781

A2.1.2 Read, interpret and use function notation and evaluate a function at a value in its domain.

Alg. 2: Lesson 2.1: Represent Relations and Functions, 72-79, 80-81 Lesson 5.8: Polynomial Functions, 391 Lesson 6.5: Square Root and Cube Root Functions, 446-447 Lesson 7.1: Exponential Growth Functions, 479, 482, 485 Lesson 7.2: Exponential Decay Functions, 487, 489, 49

Alg. 1: Lesson 4.7: Graph Linear Functions, 262-268

Lesson 8.5: Write and Graph Exponential Growth Functions, 524 Lesson 8.6: Write and Graph Exponential Decay Functions, 536 Lesson 10.1: Graph y = ax2 + c, 633 Lesson 10.2: Graph y = ax2 + bx + c, 637, 639 Lesson 10.3: Solve Quadratic Equations by Graphing, 645, 647 Lesson 11.1: Graph Square Root Functions, 714

Lesson 12.2: Graph Rational Functions, 780


10

A2.1.3 Represent functions in symbols, graphs, tables, diagrams or words and translate among representations.

Alg. 2: Lesson 2.1: Represent Relations and Functions, 72-79, 80-81 Lesson 2.3: Write Equations of Lines, 95 Lesson 2.4: Graph Equations of Lines, 104 Lesson 2.4: Using Alternative Methods, 105 Lesson 2.6: Scatter Plots and Best-Fitting Lines, 119 Lesson 2.7: Use Absolute Value Functions, 129 Lesson 4.1: Quadratic Functions in Standard Form, 242 Lesson 4.3: Quadratic Functions by Factoring, 258 Lesson 4.5: Using Alternative Methods, 272-273 Lesson 4.7: Complete the Square, 290 Lesson 4.10: Quadratics Functions and Models, 314 Lesson 5.2: Polynomial Functions, 343 Lesson 5.4: Using Alternative Methods, 360-361 Lesson 5.8: Graphs of Polynomial Functions, 392 Lesson 6.3: Operations with Functions, 434 Lesson 6.5: Square Root Functions, 451 Lesson 6.6: Using Alternative Methods, 460-461

Lesson 7.1: Exponential Growth Functions, 485 Lesson 7.6: Logarithmic Functions, 521 Lesson 7.6: Using Alternative Methods, 523-525 Lesson 8.2: Simple Rational Functions, 562 Lesson 8.3: General Rational Functions, 570 Lesson 8.6: Using Alternative Methods, 596-597 Lesson 11.5: Using Alternative Methods, 781 Lesson 14.4: Using Alternative Methods, 938-939

Alg. 1: Lesson 1.6: Represent Functions as Rule and Tables, 35-40, 41

Lesson 4.1: Graph a Function, 207-208, 211-212 Lesson 4.2: Graph Linear Equations, 216-221, 222, 223-224 Lesson 4.3: Graph Using Intercepts, 226-232 Lesson 4.5: Graph Using Slope-Intercept Form, 245-250 Lesson 4.6: Model Direct Variation, 254-259 Lesson 4.7: Graph Linear Functions, 262-268 Lesson 5.1: Write Linear Equations in Slope-Intercept Form, 283-289, 290-291 Lesson 5.2: Use Linear Equations in Slope-Intercept Form, 292-299 Lesson 5.3: Linear Function in Point-Slope Form, 302-308 Lesson 5.4: Write Linear Equations in Standard Form, 311-316 Lesson 5.5: Write Equations of Parallel and Perpendicular Lines, 319, 321-324 Lesson 6.5: Extension: Graph Absolute Value Functions, 396-397 Lesson 8.5: Write and Graph Exponential Growth Functions, 520-527, 528-529 Lesson 8.6: Write and Graph Exponential Decay Functions, 530, 531-538, 539-540 Lesson 10.1: Graph Simple Quadratic Functions, 628-634 Lesson 10.2: Graph y = ax2 + bx + c, 635-636, 638, 640, 641-642 Lesson 11.1: Graph Square Root Functions, 710-716 Lesson 12.1: Model Inverse Variation, 764, 766-772 Lesson 12.2: Graph Rational Functions, 773-774, 775-782 Lesson 12.3: Divide Polynomials, 786-791 Additional Lesson J: Evaluating Logarithmic Functions, A20-A21 Additional Lesson L: Applying Properties of Logarithms, A24-A25 Additional Lesson U: Evaluating the Graphs of the Cubic and Quartic, A42-A43

Additional Lesson V: Evaluate and Graph Polynomial Functions, A44-A45


11

A2.1.6 Identify the zeros of a function, the intervals where the values of a function are positive or negative and describe the behavior of a function as x approaches positive or negative infinity, given the symbolic and graphical representations.

Alg. 2: Lesson 4.3: Zeros of a Quadratic Function, 254-256 Lesson 4.4: Factoring and Zeros, 262 Lesson 5.2: Evaluate and Graph Polynomial Functions, 336, 337-344 Lesson 5.5: Factor Theorem, 364, 365, 366, 367 Lesson 5.7: Apply the Fundamental Theorem of Algebra, 379-385 Lesson 5.8: Analyze Graphs of Polynomial Functions, 387-392 Lesson 8.3: General Rational Functions, 566

Alg. 1: Lesson 5.7: Predict with Linear Models, 337-340

Lesson 10.2: Extension: Graph Quadratic Functions in Intercept Form, 641 Lesson 10.3: Zeros of Quadratic Functions, 645-646, 647-649, 650-651

Lesson 12.2: Graph Rational Functions, 773-774, 775-782

A2.1.7 Identify and interpret the key features of a function from its graph or its formula(s).

Alg. 2: Lesson 2.3: Equations of Lines, 89-96, 97 Lesson 2.7: Absolute Value Functions, 121-122, 123-129 Lesson 2.7: Extension: Piecewise Functions, 130-131 Lesson 4.1: Quadratic Functions in Standard Form, 236-243 Lesson 4.2: Quadratic Functions in Vertex or Intercept Form, 244, 245-251 Lesson 5.2: Evaluate and Graph Polynomial Functions, 336, 337-344 Lesson 5.8: Analyze Graphs of Polynomial Functions, 387-392 Lesson 6.5: Graph Square Root and Cube Root Functions, 446-451 Lesson 7.1: Graph Exponential Growth Functions, 478-485 Lesson 7.2: Graph Exponential Decay Functions, 486-491 Lesson 7.4: Graph Logarithmic Functions, 502-503, 504-505 Lesson 8.2: Graph Simple Rational Functions, 558-563, 564 Lesson 8.3: Graph General Rational Functions, 565-571 Lesson 14.1: Graph Sine, Cosine, and Tangent Functions, 908-914

Alg. 1: Lesson 4.3: Graph Using Intercepts, 226, 229-231

Lesson 4.4: Find Slope and Rate of Change, 235-236, 238-239, 242 Lesson 4.5: Graph Using Slope-Intercept Form, 243, 244, 247-248 Lesson 5.1: Write Linear Equations in Slope-Intercept Form, 284, 287-289 Lesson 5.2: Use Linear Equations in Slope-Intercept Form, 296-297, 299, 300-301 Lesson 5.3: Write Linear Equations in Point-Slope Form, 306 Lesson 10.1: Graph y = ax2 + c, 628-630, 632-633 Lesson 10.2: Graph y = ax2 + bx + c, 635-640, 641-642 Lesson 10.3: Find Minimum and Maximum Values, 650-651 Lesson 12.1: Graphs of Variation, 767 Lesson 12.2: Graph Rational Functions, 773-774, 775-782 Lesson 12.3: Activity: Find Asymptotes of Graphs, 792-793 Additional Lesson W: Real Zeros of Polynomial Functions, A46-A47

Additional Lesson X: Analyze Graphs of Polynomial Functions, A48-A49


12

A2.2 Operations and Transformations

A2.2.1 Combine functions by addition, subtraction, multiplication and division.

Alg. 2: Lesson 6.3: Perform Function Operations, 428-429, 432-433, 435 Alg. 1: Additional Lesson T: Operations on Functions, A40-A41

A2.2.2 Apply given transformations to parent functions and represent symbolically.

Alg. 2: Lesson 2.3: Graph Equations of Lines, 89-96, 97 Lesson 2.7: Use Absolute Value Functions and Transformations, 121-122, 123-129 Lesson 4.1: Graph Quadratic Functions in Standard Form, 236-243 Lesson 4.2: Graph Quadratic Functions in Vertex or Intercept Form, 245-251 Lesson 6.5: Graph Radical Functions, 446-451 Lesson 7.1: Graph Exponential Growth Functions, 478-485 Lesson 7.2: Graph Exponential Decay Functions, 486-491 Lesson 8.2: Graph Simple Rational Functions, 558-563, 564 Lesson 14.1: Graph Sine, Cosine, and Tangent Functions, 908-914 Lesson 14.2: Translate and Reflect Trigonometric Graphs, 915-922

Alg. 1: Lesson 4.7: Graph Linear Functions, 264, 266

Lesson 6.5: Extension: Graph Absolute Value Functions, 396-397 Lesson 10.1: Graph Simple Quadratic Functions, 628-630 Lesson 10.2: Graph General Quadratic Functions, 635-636 Lesson 12.2: Graph Rational Functions, 775-777, 779

A2.2.3 Recognize whether a function (given in tabular or graphical form) has an inverse and recognize

simple inverse pairs.

Alg. 2: Lesson 6.4: Use Inverse Functions, 437, 438-445 Lesson 13.4: Evaluate Inverse Trigonometric Functions, 874, 875-880

Alg. 1: Additional Lesson S: Inverse Functions, A38-A39


13

A2.3 Representations of Functions

A2.3.1 Identify a function as a member of a family of functions based on its symbolic or graphical representation; recognize that different families of functions have different asymptotic behavior.

Alg. 2: Lesson 2.3: Parent Function for Linear Functions, 89 Lesson 2.7: Parent Function for Absolute Value Functions, 121, 123 Lesson 4.1: Parent Function for Quadratic Functions, 236 Lesson 5.2: Behavior of Polynomial Functions, 336, 339 Lesson 6.5: Parent Functions for Square Root and Cube Root Functions, 446 Lesson 7.1: Parent Function for Exponential Growth Functions, 478 Lesson 7.2: Parent Function for Exponential Decay Functions, 486 Lesson 7.4: Parent Graphs for Logarithmic Functions, 502 Lesson 8.2: Parent Function for Simple Rational Functions, 558 Lesson 14.1: Characteristics of Trigonometric Functions, 908-909, 911

Alg. 1: Lesson 4.7: Parent Function for Linear Functions, 263-264

Lesson 5.1: Activity: Investigate Families of Lines, 290-291 Lesson 6.5: Extension: Parent Function for Absolute Value Functions, 396-397 Lesson 8.5: Write and Graph Exponential Growth Functions, 520 Lesson 10.1: Parent Quadratic Functions, 628-634 Lesson 12.2: Parent Rational Functions, 775-782 Additional Lesson U: Evaluating the Graphs of the Cubic and Quartic, A42-A43

Additional Lesson V: Evaluate and Graph Polynomial Functions, A44-A45

A2.3.3 Write the general symbolic forms that characterize each family of functions.

Alg. 2: Lesson 2.3: Parent Function for Linear Functions, 89 Lesson 2.7: Parent Function for Absolute Value Functions, 121, 123 Lesson 4.1: Parent Function for Quadratic Functions, 236 Lesson 5.2: Behavior of Polynomial Functions, 336 Lesson 6.5: Parent Functions for Square Root and Cube Root Functions, 446 Lesson 7.1: Parent Function for Exponential Growth Functions, 478 Lesson 7.2: Parent Function for Exponential Decay Functions, 486 Lesson 7.4: Parent Graphs for Logarithmic Functions, 502 Lesson 8.2: Parent Function for Simple Rational Functions, 558 Lesson 14.1: Characteristics of Trigonometric Functions, 908-909, 911

Alg. 1: Lesson 4.7: Parent Function for Linear Functions, 263-264

Lesson 5.1: Activity: Investigate Families of Lines, 290-291 Lesson 6.5: Extension: Parent Function for Absolute Value Functions, 396-397 Lesson 10.1: Parent Quadratic Functions, 628-634 Lesson 12.2: Parent Rational Functions, 775-782


14

A2.4 Models of Real-world Situations Using Families of Functions.

A2.4.1 Identify the family of functions best suited for modeling a given real-world situation.

Alg. 2: Lesson 2.5: Model Direct Variation, 107-111 Lesson 4.10: Write Quadratic Functions and Models, 308, 309-315 Lesson 5.9: Write Polynomial Functions and Models, 393-399 Lesson 7.1: Exponential Growth Models, 480-481, 483-485 Lesson 7.2: Exponential Decay Models, 488-491 Lesson 7.4: Logarithmic Models, 500, 504-505 Lesson 7.7: Write and Apply Exponential and Power Functions, 528, 529-536 Lesson 8.1: Model Inverse and Joint Variation, 550, 551-557 Lesson 11.5: Choose the Best Model for Two-Variable Data, 774, 775-780, 781 Lesson 14.5: Write Trigonometric Functions and Models, 941-947, 948

Alg. 1: Lesson 4.6: Model Direct Variation, 253-259, 260-261

Lesson 5.1: Write Equations in Slope-Intercept Form, 285, 288-289 Lesson 5.2: Use Linear Equations in Slope-Intercept Form, 294-295, 298-299 Lesson 5.3: Write Linear Equations in Point-Slope Form, 304-305, 307-308 Lesson 5.4: Write Linear Equations in Standard Form, 313, 315-316 Lesson 5.6: Fit a Line to Data, 327-331 Lesson 5.7: Predict with Linear Models, 335-341 Lesson 8.5: Exponential Growth Models, 522-523, 525-527, 528-529 Lesson 8.6: Exponential Decay Functions, 530, 531-538, 540 Lesson 9.4: Solve Polynomial Equations in Factored Form, 577, 579 Lesson 9.6: Factor ax2 + bx + c, 595, 598-599 Lesson 10.1: Graph y = ax2 + c, 634 Lesson 10.2: Graph y = ax2 + bx + c, 640 Lesson 10.3: Solve Quadratic Equations by Graphing, 646, 648-649 Lesson 10.4: Quadratic Models, 654, 657-658, 659-660 Lesson 10.5: Solve Quadratic Equations by Completing the Square, 668 Lesson 10.6: Solve Quadratic Equations by the Quadratic Formula, 675 Lesson 10.7: Interpret the Discriminant, 683 Lesson 10.8: Compare Linear, Exponential, and Quadratic Functions, 684-691, 692-693 Lesson 12.1: Model Inverse Variation, 768, 770-772 Lesson 12.3: Divide Polynomials, 790-791

Lesson 12.6: Add and Subtract Rational Expressions, 817-818


15

A2.4.2 Adapt the general symbolic form of a function to one that fits the specifications of a given situation by using the information to replace arbitrary constants with numbers.



Lesson 5.1: Write Equations in Slope-Intercept Form, 285, 288-289 Lesson 5.2: Use Linear Equations in Slope-Intercept Form, 294-295, 298-299 Lesson 5.3: Write Linear Equations in Point-Slope Form, 304-305, 307-308 Lesson 5.4: Write Linear Equations in Standard Form, 313, 315-316 Lesson 5.6: Fit a Line to Data, 327-331 Lesson 5.7: Predict with Linear Models, 335-341 Lesson 8.5: Exponential Growth Models, 522-523, 525-527, 528-529 Lesson 8.6: Exponential Decay Functions, 530, 531-538, 540 Lesson 9.4: Solve Polynomial Equations in Factored Form, 577, 579 Lesson 9.6: Factor ax2 + bx + c, 595, 598-599 Lesson 10.1: Graph y = ax2 + c, 634 Lesson 10.2: Graph y = ax2 + bx + c, 640 Lesson 10.3: Solve Quadratic Equations by Graphing, 646, 648-649 Lesson 10.4: Quadratic Models, 654, 657-658, 659-660 Lesson 10.5: Solve Quadratic Equations by Completing the Square, 668 Lesson 10.6: Solve Quadratic Equations by the Quadratic Formula, 675 Lesson 10.7: Interpret the Discriminant, 683 Lesson 10.8: Compare Linear, Exponential, and Quadratic Functions, 684-691, 692-693 Lesson 12.1: Model Inverse Variation, 768, 770-772 Lesson 12.3: Divide Polynomials, 790-791



16

A2.4.3 Using the adapted general symbolic form, draw reasonable conclusions about the situation being modeled.



Lesson 5.1: Write Equations in Slope-Intercept Form, 285, 288-289 Lesson 5.2: Use Linear Equations in Slope-Intercept Form, 294-295, 298-299 Lesson 5.3: Write Linear Equations in Point-Slope Form, 304-305, 307-308 Lesson 5.4: Write Linear Equations in Standard Form, 313, 315-316 Lesson 5.6: Fit a Line to Data, 328, 330-331 Lesson 5.7: Predict with Linear Models, 335-341 Lesson 8.5: Exponential Growth Models, 522-523, 525-527, 528-529 Lesson 8.6: Exponential Decay Functions, 530, 531-538 Lesson 9.4: Solve Polynomial Equations in Factored Form, 577, 579 Lesson 9.6: Factor ax2 + bx + c, 595, 598-599 Lesson 10.3: Solve Quadratic Equations by Graphing, 646, 648-649 Lesson 10.4: Quadratic Models, 654, 657-658, 659-660 Lesson 10.5: Solve Quadratic Equations by Completing the Square, 668 Lesson 10.6: Solve Quadratic Equations by the Quadratic Formula, 675 Lesson 10.7: Interpret the Discriminant, 683 Lesson 10.8: Compare Linear, Exponential, and Quadratic Functions, 684-691 Lesson 12.1: Model Inverse Variation, 768, 770-772 Lesson 12.3: Divide Polynomials, 790-791



17

RECOMMENDED:

*A1.1.7 Transform trigonometric expressions into equivalent forms using basic identities such as sin^2ø + cos^2ø = 1, tanø = sinø / cosø and tan^2ø + 1 = sec^2ø

Alg. 2: Lesson 14.3: Investigating Trigonometric Identities, 923 Lesson 14.3: Verify Trigonometric Identities, 924-930

*A2.2.4 If a function has an inverse, find the expression(s) for the inverse.

Alg. 2: Lesson 6.4: Use Inverse Functions, 437, 438-445

*A2.2.5 Write an expression for the composition of one function with another; recognize component

functions when a function is a composition of other functions.

Alg. 2: Lesson 6.3: Composition of Functions, 430-435

*A2.2.6 Know and interpret the function notation for inverses and verify that two functions are inverses

using composition.

Alg. 2: Lesson 6.4: Use Inverse Functions, 438-445

*A2.4.4 Use methods of linear programming to represent and solve simple real-life problems.

Alg 2: Extension: Use Linear Programming, 174-176


18

STANDARD A3: FAMILIES OF FUNCTIONS

Students study the symbolic and graphical forms of each function family. By recognizing the unique characteristics of each family, they can use them as tools for solving problems or for modeling real-world situations.

A3.2 Exponential and Logarithmic Functions

A3.2.2 Interpret the symbolic forms and recognize the graphs of exponential and logarithmic functions; recognize the logarithmic function as the inverse of the exponential function.

Alg. 2: Lesson 7.1: Graph Exponential Growth Functions, 478-485 Lesson 7.2: Graph Exponential Decay Functions, 486-491 Lesson 7.3: Use Functions Involving e, 493-494, 496-498 Lesson 7.4: Graph Logarithmic Functions, 501, 502-505 Lesson 7.5: Activity: Graph Logarithmic Functions, 514 Lesson 7.7: Write and Apply Exponential Functions, 529-531, 533-536

Alg. 1: Lesson 8.5: Write and Graph Exponential Growth Functions, 520-527, 528-529

Lesson 8.6: Write and Graph Exponential Decay Functions, 530, 531-538, 539-540 for Logarithmic Functions, see McDougal Littell Algebra 2

A3.2.3 Apply properties of exponential and logarithmic functions.

Alg. 2: Lesson 7.5: Apply Properties of Logarithms, 507-513 Lesson 7.6: Solve Exponential and Logarithmic Equations, 515-522

Alg. 1: (related topics)

Lesson 8.1: Apply Exponent Properties Involving Products, 489-494 Lesson 8.2: Apply Exponent Properties Involving Quotients, 495-501

A3.6 Rational Functions

A3.6.1 Write the symbolic form and sketch the graph of simple rational functions.

Alg. 2: Lesson 8.2: Graph Simple Rational Functions, 558-563, 564 Lesson 8.3: Graph General Rational Functions, 565-571 Alg. 1: Lesson 12.2: Graph Rational Functions, 773-774, 775-782

A3.6.2 Analyze graphs of simple rational functions and understand the relationship between the zeros of

the numerator and denominator and the function’s intercepts, asymptotes and domain.

Alg. 2: Lesson 8.2: Graph Simple Rational Functions, 558-563, 564 Lesson 8.3: Graph General Rational Functions, 565-571

Alg. 1: Lesson 12.2: Graph Rational Functions, 773-774, 775-782

Lesson 12.3: Activity: Find Asymptotes of Graphs, 792-793


19

A3.7 Trigonometric Functions

A3.7.1 Use the unit circle to define sine and cosine; approximate values of sine and cosine; use sine and cosine to define the remaining trigonometric functions; explain why the trigonometric functions are periodic.

Alg. 2: Lesson 13.3: Evaluate Trigonometric Functions of Any Angle, 866-872

A3.7.2 Use the relationship between degree and radian measures to solve problems.

Alg. 2: Lesson 13.2: Define General Angles and Use Radian Measure, 860-865

A3.7.3 Use the unit circle to determine the exact values of sine and cosine, for integer multiples of π•6 and

π•4.

Alg. 2: Lesson 13.3: Evaluate Trigonometric Functions of Any Angle, 869, 871

A3.7.4 Graph the sine and cosine functions; analyze graphs by noting domain, range, period, amplitude

and location of maxima and minima.

Alg. 2: Lesson 13.4: Activity: Investigating Inverse Trigonometric Functions, 874 Lesson 14.1: Graph Sine, Cosine, and Tangent Functions, 908-914

Lesson 14.2: Translate and Graph Trigonometric Graphs, 915-917, 919-922

A3.7.5 Graph transformations of basic trigonometric functions (involving changes in period, amplitude,

phase and midline) and understand the relationship between constants in the formula and the transformed graph.

Alg. 2: Lesson 14.2: Translate and Reflect Trigonometric Graphs, 915-922


20

STRAND 3: GEOMETRY AND TRIGONOMETRY (G)

STANDARD G1: FIGURES AND THEIR PROPERTIES Students represent basic geometric figures, polygons and conic sections and apply their definitions and properties in solving problems and justifying arguments, including constructions and representations in the coordinate plane. Students represent 3-dimensional figures, understand the concepts of volume and surface area and use them to solve problems. They know and apply properties of common 3-dimensional figures.

G1.7 Conic Sections and Their Properties

G.1.7.1 Find an equation of a circle given its center and radius; given the equation of a circle, find its center and radius.

Alg. 2: Lesson 9.3: Graph and Write Equations of Circles, 626-632

G1.7.2 Identify and distinguish among geometric representations of parabolas, circles, ellipses and

hyperbolas; describe their symmetries and explain how they are related to cones.

Alg. 2: Lesson 9.2: Graph and Write Equations of Parabolas, 620-625 Lesson 9.3: Graph and Write Equations of Circles, 626-632, 633 Lesson 9.4: Graph and Write Equations of Ellipses, 634-639 Lesson 9.5: Graph and Write Equations of Hyperbolas, 642-648 Lesson 9.6: Translate and Classify Conic Sections, 649, 650-657

G1.7.3 Graph ellipses and hyperbolas with axes parallel to the x- and y-axes, given equations.

Alg. 2: Lesson 9.4: Graph and Write Equations of Ellipses, 635, 637-638 Lesson 9.5: Graph and Write Equations of Hyperbolas, 643, 645-648

RECOMMENDED:

*G1.7.4 Know and use the relationship between the vertices and foci in an ellipse, the vertices and foci in a hyperbola and the directrix and focus in a parabola; interpret these relationships in applied contexts.

Alg. 2: Lesson 9.2: Graph and Write Equations of Parabolas, 620-625 Lesson 9.4: Graph and Write Equations of Ellipses, 634-639 Lesson 9.5: Graph and Write Equations of Hyperbolas, 642-648


21

STRAND 4: STATISTICS AND PROBABILITY (S)

STANDARD S1: UNIVARIATE DATA – EXAMINING DISTRIBUTIONS Students plot and analyze univariate data by considering the shape of distributions and analyzing outliers; they find and interpret commonly-used measures of center and variation; and they explain and use properties of the normal distribution.

S1.1 Producing and Interpreting Plots

S1.1.1 Construct and interpret dot plots, histograms, relative frequency histograms, bar graphs, basic control charts and box plots with appropriate labels and scales; determine which kinds of plots are appropriate for different types of data; compare data sets and interpret differences based on graphs and summary statistics.

Alg. 2: Skills Review Handbook: Graphing Statistical Data, 1006-1007 Skills Review Handbook: Organizing Statistical Data, 1008-1009

Alg. 1: Lesson 13.7: Interpret Stem-and-Leaf Plots and Histograms, 881-885, 886 Lesson 13.8: Interpret Box-and-Whisker Plots, 887-892, 893 Skills Review Handbook: Bar Graphs, 933; Line Graphs, 934

S1.1.2 Given a distribution of a variable in a data set, describe its shape, including symmetry or skewness

and state how the shape is related to measures of center (mean and median) and measures of variation (range and standard deviation) with particular attention to the effects of outliers on these measures.

Alg. 2: Lesson 11.1: Find Measures of Central Tendency and Dispersion, 744-749, 750 Lesson 11.3: Use Normal Distributions, 757, 761

Alg. 1: Lesson 13.6: Use Measures of Central Tendency and Dispersion, 875-878, 879-880 Lesson 13.8: Interpret Box-and-Whisker Plots, 887-892, 893 Skills Review Handbook: Mean, Median, and Mode, 918

S1.2 Measures of Center and Variation

S1.2.1 Calculate and interpret measures of center including: mean, median and mode; explain uses, advantages and disadvantages of each measure given a particular set of data and its context.

Alg. 2: Lesson 11.1: Find Measures of Central Tendency and Dispersion, 744-749, 750 Lesson 11.2: Apply Transformations to Data, 751-755 Skills Review Handbook: Mean, Median, and Mode, 1005

Alg. 1: Lesson 13.6: Use Measures of Central Tendency and Dispersion, 875, 877-878

Skills Review Handbook: Mean, Median, and Mode, 918

S1.2.2 Estimate the position of the mean, median and mode in both symmetrical and skewed distributions

and from a frequency distribution or histogram.

Alg. 2: (related topics) Lesson 11.1: Find Measures of Central Tendency and Dispersion, 744-749, 750 Lesson 11.2: Apply Transformations to Data, 751-755 Lesson 11.3: Use Normal Distributions, 757-762 Skills Review Handbook: Organizing Statistical Data, 1008-1009

Alg. 1: Lesson 13.7: Interpret Stem-and-Leaf Plots and Histograms, 881-885, 886

Lesson 13.8: Interpret Box-and-Whisker Plots, 887-892, 893, 918


22

S1.2.3 Compute and interpret measures of variation, including percentiles, quartiles, interquartile range, variance and standard deviation.

Alg. 2: Lesson 11.1: Find Measures of Central Tendency and Dispersion, 744-749, 750 Lesson 11.2: Apply Transformations to Data, 751-755 Skills Review Handbook: Organizing Statistical Data, 1008-1009

Alg. 1: Lesson 13.6: Extension: Calculate Variance and Standard Deviation, 879-880

Lesson 13.8: Interpret Box-and-Whisker Plots, 887-892

S1.3 The Normal Distribution

S1.3.1 Explain the concept of distribution and the relationship between summary statistics for a data set and parameters of a distribution.

Alg. 2: Lesson 11.3: Use Normal Distributions, 757-762

S1.3.2 Describe characteristics of the normal distribution, including its shape and the relationships among

its mean, median and mode.


S1.3.3 Know and use the fact that about 68%, 95% and 99.7% of the data lie within one, two and three

standard deviations of the mean, respectively in a normal distribution.


S1.3.4 Calculate z-scores, use z-scores to recognize outliers and use z-scores to make informed decisions.



23

STANDARD S3: SAMPLES, SURVEYS AND EXPERIMENTS Students understand and apply sampling and various sampling methods, examine surveys and experiments, identify bias in methods of conducting surveys and learn strategies to minimize bias. They understand basic principles of good experimental design.

S3.1 Data Collection and Analysis

S3.1.1 Know the meanings of a sample from a population and a census of a population and distinguish between sample statistics and population parameters.

Alg. 2: Lesson 11.4: Select and Draw Conclusions from Samples, 766, 768-771 Alg. 1: Lesson 13.5: Analyze Surveys and Samples, 871, 873-874

S3.1.2 Identify possible sources of bias in data collection and sampling methods and simple experiments;

describe how such bias can be reduced and controlled by random sampling; explain the impact of such bias on conclusions made from analysis of the data; and know the effect of replication on the precision of estimates.

Alg. 2: Lesson 11.4: Select and Draw Conclusions from Samples, 767, 769, 770, 772-773 Additional Lesson J: Designing Surveys, A20-A21 Alg. 1: Lesson 13.5: Analyze Surveys and Samples, 872-874

S3.1.3 Distinguish between an observational study and an experimental study and identify, in context, the

conclusions that can be drawn from each.

Alg. 2: (related topics) Lesson 10.6: Binomial Experiment, 725, 728 Lesson 11.4: Select and Draw Conclusions from Samples, 766-771, 772-773

Alg. 1: Lesson 13.1: Activity: Experiment, 842

Lesson 13.5: Analyze Surveys and Samples, 871, 873


24

STANDARD S4: PROBABILITY MODELS AND CALCULATIONS Students understand probability and find probabilities in various situations, including those involving compound events, using diagrams, tables, geometric models and counting strategies; they apply the concepts of probability to make decisions.

S4.1 Probability

S4.1.1 Understand and construct sample spaces in simple situations.

Alg. 2: (related topics) Lesson 10.3: Define and Use Probability, 698-705

Lesson 10.4: Find Probabilities of Disjoint and Overlapping Events, 706, 707-713, 714 Lesson 10.5: Find Probabilities of Independent and Dependent Events, 717-723 Alg. 1: Lesson 13.1: Find Probabilities and Odds, 843-848

S4.1.2 Define mutually exclusive events, independent events, dependent events, compound events,

complementary events and conditional probabilities; and use the definitions to compute probabilities.

Alg. 2: Lesson 10.4: Find Probabilities of Disjoint and Overlapping Events, 706, 707-713, 714 Lesson 10.5: Find Probabilities of Independent and Dependent Events, 717-723

Alg. 1: Lesson 13.1: Find Probabilities and Odds, 842, 843-848

Lesson 13.4: Find Probabilities of Compound Events, 861-867

S4.2 Application and Representation

S4.2.1 Compute probabilities of events using tree diagrams, formulas for combinations and permutations, Venn diagrams or other counting techniques.

Alg. 2: Lesson 10.3: Define and Use Probability, 698-704 Lesson 10.4: Find Probabilities of Disjoint and Overlapping Events, 706, 707-713, 714 Lesson 10.5: Find Probabilities of Independent and Dependent Events, 717-723 Lesson 10.6: Construct and Interpret Binomial Distributions, 724-730, 731

Alg. 1: Lesson 13.1: Find Probabilities and Odds, 842, 843-848, 849-850

Lesson 13.2: Find Probabilities Using Permutations, 851-855 Lesson 13.3: Find Probabilities Using Combinations, 856-859, 860 Lesson 13.4: Find Probabilities of Compound Events, 861-867, 868-869

S4.2.2 Apply probability concepts to practical situations in such settings as finance, health, ecology or

epidemiology to make informed decisions.

Alg. 2: Lesson 10.3: Define and Use Probability, 699, 703 Lesson 10.4: Find Probabilities of Disjoint and Overlapping Events, 708, 709, 711-713 Lesson 10.5: Find Probabilities of Independent and Dependent Events, 719-720, 722-723 Lesson 10.6: Construct and Interpret Binomial Distributions, 726, 729-730, 731

Alg. 1: Lesson 13.1: Find Probabilities and Odds, 844, 847-848, 849-850

Lesson 13.2: Find Probabilities Using Permutations, 853, 855-855 Lesson 13.3: Find Probabilities Using Combinations, 857, 859, 860 Lesson 13.4: Find Probabilities of Compound Events, 863, 865-867, 868-869


25

RECOMMENDED:

*S3.1.4 Design simple experiments or investigations to collect data to answer questions of interest; interpret and present results.

Alg. 2: (related topics) Lesson 2.6: Activity: Fitting a Line to Data, 112 Lesson 4.10: Activity: Modeling Data with a Quadratic Function, 308 Lesson 7.7: Activity: Model Data with an Exponential Function, 528 Lesson 8.1: Activity: Investigating Inverse Variation, 550 Lesson 10.4: Using Alternative Methods, 714 Lesson 11.4: Extension: Design Surveys and Experiments, 772-773

Alg. 1: Lesson 13.1: Activity: Perform an Experiment, 842

Lesson 13.1: Extension: Perform Simulations, 849-850 Lesson 13.4: Using Alternative Methods, 868, 869 Lesson 13.5: Analyze Surveys and Samples, 871, 873

*S3.1.5 Understand methods of sampling, including random sampling, stratified sampling and

convenience samples, and be able to determine, in context, the advantages and disadvantages of each.

Alg. 2: Lesson 11.4: Select and Draw Conclusions from Samples, 766-771 Alg. 1: Lesson 13.5: Analyze Surveys and Samples, 871-874

*S3.1.6 Explain the importance of randomization, double-blind protocols, replication and the placebo

effect in designing experiments and interpreting the results of studies.

Alg. 2: (related topics) Lesson 11.4: Extension: Design Surveys and Experiments, 772-773

*S3.2.1 Explain the basic ideas of statistical process control, including recording data from a process over

time.

Alg. 2: (related topics) Lesson 11.4: Select and Draw Conclusions from Samples, 766-771, 772-773

*S3.2.2 Read and interpret basic control charts; detect patterns and departures from patterns.

Alg. 2: (related topics) Lesson 11.4: Extension: Design Surveys and Experiments, 772-773

*S4.1.3 Design and carry out an appropriate simulation using random digits to estimate answers to

questions about probability; estimate probabilities using results of a simulation; compare results of simulations to theoretical probabilities.

Alg. 2: Lesson 10.4: Using Alternative Methods, 714 Alg. 1: Lesson 13.1: Extension: Perform Simulations, 849-850

Lesson 13.4: Using Alternative Methods, 868, 869

MI 26612/2007

2008CC2

Documents

correlated to the - McDougal Littell 10.4: Find Probabilities of Disjoint and Overlapping Events, 707-713 Lesson 10.5: Find Probabilities of Independent and Dependent Events, 717-723