Prentice Hall Mathematics Algebra Correlated to: Alabama Course of Study: Mathematics (Grades 912)


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1 Alabama Course of Study: Mathematics (Grades 912) NUMBER AND OPERATIONS 1. Simplify numerical expressions using properties of real numbers and order of operations, including those involving square roots, radical form, or decimal approximations. Applying laws of exponents to simplify expressions, including those containing zero and negative integral exponents SE/TE: 12: Exponents and Order of Operations, 915; 14: Adding Real Numbers, 2430; 15: Subtracting Real Numbers: 3236; 16: Multiplying and Dividing Real Numbers, 3744; 17: The Distributive Property, 4753; 81: Zero and Negative Exponents, ; 82: Scientific Notation, ; 83: Multiplication Properties of Exponents, ; 84: More Properties of Exponents, ; 85: Division Properties of Exponents, , 14, 15, 16, 17, 18, 103, 111, 114 textbook sections 12, 14, 15, 16, 17, 18, 103, 111, 114 SE/TE: 12: Exponents and Order of Operations, 915; 14: Adding Real Numbers, 2430; 15: Subtracting Real Numbers: 3236; 16: Multiplying and Dividing Real Numbers, 3744; 17: The Distributive Property, 4753; 81: Zero and Negative Exponents, ; 82: Scientific Notation, ; 83: Multiplication Properties of Exponents,
2 Applying laws of exponents to simplify expressions, including those containing zero and negative integral exponents SE/TE: 84: More Properties of Exponents, ; 85: Division Properties of Exponents, , 83, 84, 85 textbook sections 81, 83, 84, 85 ALGEBRA 2. Analyze linear functions from their equations, slopes, and intercepts. SE/TE: 51: Relating Graphs to Events, ; 52: Relations and Functions, ; 53: Function Rules, Tables, and Graphs, ; 54: Writing a Function Rule, ; 55: Direct Variation, ; 56: Describing Number Patterns, ; 61: Rate of Change and Slope, ; 62: Slope Intercept Form, ; 63: Standard Form, ; 64: PointSlope Form and Writing Linear Equations, ; 65: Parallel and Perpendicular Lines, Transparencies 2
3 2. Analyze linear functions from their equations, slopes, and intercepts. Finding the slope of a line from its equation or by applying the slope formula (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Handson 61, 62, 63, 64, 65 textbook sections 61, 62, 63, 64, 65 SE/TE: 51: Relating Graphs to Events, ; 52: Relations and Functions, ; 53: Function Rules, Tables, and Graphs, ; 54: Writing a Function Rule, ; 55: Direct Variation, ; 56: Describing Number Patterns, ; 61: Rate of Change and Slope, ; 62: Slope Intercept Form, ; 63: Standard Form, ; 64: PointSlope Form and Writing Linear Equations, ; 65: Parallel and Perpendicular Lines, , 62, 64, 65 Math Lessons and Tools (CDROM) 3
4 Finding the slope of a line from its equation or by applying the slope formula Determining the equations of linear functions given two points, a point and the slope, tables of values, graphs, or ordered pairs Graphing twovariable linear equations and inequalities on the Cartesian plane TECH: textbook sections 61, 62, 64, 65 SE/TE: 51: Relating Graphs to Events, ; 52: Relations and Functions, ; 53: Function Rules, Tables, and Graphs, ; 54: Writing a Function Rule, ; 55: Direct Variation, ; 56: Describing Number Patterns, ; 61: Rate of Change and Slope, ; 62: Slope Intercept Form, ; 63: Standard Form, ; 64: PointSlope Form and Writing Linear Equations, ; 65: Parallel and Perpendicular Lines, , 55, 62, 64, 65 textbook sections 54, 55, 62, 64, 65 SE/TE: 51: Relating Graphs to Events, ; 52: Relations and Functions, ; 53: Function Rules, Tables, and Graphs, ; 54: Writing a Function Rule, ; 55: Direct Variation, ; 56: Describing Number Patterns, ; 61: Rate of Change and Slope, ; 62: Slope Intercept Form,
5 Graphing twovariable linear equations and inequalities on the Cartesian plane 3. Determine characteristics of a relation, including its domain, range, and whether it is a function, when given graphs, tables of values, mappings, or sets of ordered pairs. SE/TE: 63: Standard Form, ; 64: Point Slope Form and Writing Linear Equations, ; 65: Parallel and Perpendicular Lines, (preparation), 53, 62, 64, 75 textbook sections 19 (preparation), 53, 62, 64, 75 SE/TE: 52: Relations and Functions, ; 53: Function Rules, Tables, and Graphs, ; 54: Writing a Function Rule, ; 56: Describing Number Patterns,
6 3. Determine characteristics of a relation, including its domain, range, and whether it is a function, when given graphs, tables of values, mappings, or sets of ordered pairs. Finding the range of a function when given its domain 4. Represent graphically common relations including x = constant, y = constant, y = x, y = x, y = x 2, and y = x. textbook sections 52 SE/TE: 52: Relations and Functions, ; 53: Function Rules, Tables, and Graphs, ; 54: Writing a Function Rule, ; 56: Describing Number Patterns, textbook sections 52 SE/TE: 52: Relations and Functions, ; 53: Function Rules, Tables, and Graphs, ; 54: Writing a Function Rule, Quiz Transparencies 6
7 4. Represent graphically common relations including x = constant, y = constant, y = x, y = x, y = x 2, and y = x. Identifying situations that are modeled by common relations, including y = x, y = x, y = x 2, and y = x (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Handson Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 19 (preparation), 53, 63, 67, 116 textbook sections 19 (preparation), 53, 63, 67, 116 SE/TE: 52: Relations and Functions, ; 53: Function Rules, Tables, and Graphs, ; 54: Writing a Function Rule, (preparation), 54 textbook sections 51 (preparation), 54 7
8 5. Perform operations of addition, subtraction, and multiplication on polynomial expressions. SE/TE: 91: Adding and Subtracting Polynomials, ; 92: Multiplying and Factoring, ; 93: Multiplying Binomials, ; 94: Multiplying Special Cases, , 92, 93, 94 textbook sections 91, 92, 93, 94 Dividing by a monomial SE/TE: 91: Adding and Subtracting Polynomials, ; 92: Multiplying and Factoring, ; 93: Multiplying Binomials, ; 94: Multiplying Special Cases,
9 Dividing by a monomial 6. Factor binomials, trinomials, and other polynomials using GCF, difference of squares, perfect square trinomials, and grouping. 7. Solve multistep equations and inequalities including linear, radical, absolute value, and literal equations. textbook sections 125 SE/TE: 95: Factoring Trinomials of the Type x 2 + bx + c; 96: Factoring Trinomials of the Type ax 2 + bx + c; 97: Factoring Special Cases, ; 98: Factoring by Grouping, , 96, 97, 98 textbook sections 95, 96, 97, 98 SE/TE: 22: Solving TwoStep Equations, 8186; 23: Solving MultiStep Equations, 8893; 24: Equations With Variables on Both Sides, ; 25: Equations and Problem Solving, ; 34: Solving MultiStep Inequalities, ; 36: Absolute Value Equations and Inequalities, ; 43: Proportions and Percent Equations, ; 67: Graphing Absolute Value Equations, ; 115: Solving Radical Equations, ; 127: Solving Rational Equations,
10 7. Solve multistep equations and inequalities including linear, radical, absolute value, and literal equations. 22, 23, 24, 25, 26, 27, 34, 35, 36, 115, 127 textbook sections 22, 23, 24, 25, 26, 27, 34, 35, 36, 115, 127 Writing the solution of an equation or inequality in set notation Graphing the solution of an equation or inequality SE/TE: 22: Solving TwoStep Equations, 8186; 23: Solving MultiStep Equations, 8893; 24: Equations With Variables on Both Sides, ; 25: Equations and Problem Solving, ; 34: Solving MultiStep Inequalities, ; 36: Absolute Value Equations and Inequalities, ; 43: Proportions and Percent Equations, ; 67: Graphing Absolute Value Equations, ; 115: Solving Radical Equations, ; 127: Solving Rational Equations, Transparencies 10
11 Graphing the solution of an equation or inequality Modeling realworld problems by developing and solving equations and inequalities, including those involving direct and inverse variation (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Handson 31, 32, 33, 34, 35, 36 textbook sections 31, 32, 33, 34, 35, 36 SE/TE: 22: Solving TwoStep Equations, 8186; 23: Solving MultiStep Equations, 8893; 24: Equations With Variables on Both Sides, ; 25: Equations and Problem Solving, ; 34: Solving MultiStep Inequalities, ; 36: Absolute Value Equations and Inequalities, ; 43: Proportions and Percent Equations, ; 67: Graphing Absolute Value Equations, ; 115: Solving Radical Equations, ; 127: Solving Rational Equations, , 23, 24, 25, 32, 33, 34, 35, 36, 54, 55, 87, 88, 115, 121, 127 Planning Express (CDROM) 11
12 Modeling realworld problems by developing and solving equations and inequalities, including those involving direct and inverse variation 8. Solve systems of linear equations and inequalities in two variables graphically or algebraically. Modeling realworld problems by developing and solving systems of linear equations and inequalities TECH: Interactive Math Lessons and Tools (CD ROM), Technology Activities, Instructional Video Package, IText (instant selfcheck quizzes online and on CDROM)] which accompany textbook sections 22, 23, 24, 25, 32, 33, 34, 35, 36, 54, 55, 87, 88, 115, 121, 127 SE/TE: 71: Solving Systems by Graphing, ; 72: Solving Systems Using Subtraction, ; 73: Solving Systems Using Elimination, ; 74: Applications of Linear Systems, ; 75: Linear Inequalities, ; 76: Systems of Linear Inequalities, , 72, 73, 74, 76 textbook sections 71, 72, 73, 74, 76 SE/TE: 71: Solving Systems by Graphing, ; 72: Solving Systems Using Subtraction, ; 73: Solving Systems Using Elimination, ; 74: Applications of Linear Systems, ; 75: Linear Inequalities, ; 76: Systems of Linear Inequalities, Projects, (g) Chapter Tests 12
13 Modeling realworld problems by developing and solving systems of linear equations and inequalities (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Handson Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 71, 72, 73, 74, 76 textbook sections 71, 72, 73, 74,
14 9. Solve quadratic equations using the zero product property. 9. Solve quadratic equations using the zero product property. SE/TE: 104: Solving Quadratic Equations, ; 105: Factoring to Solve Quadratic Equations, ; 106: Completing the Square, ; 107: Using the Quadratic Formula, ; 108: Using the Discriminant, ; 109: Choosing a Model, , 102, 103 (preparation), 105 Package, IText TECH: (instant selfcheck quizzes online and on CD ROM)] which accompany textbook sections 101, 102, 103 (preparation),
15 Approximating solutions graphically and numerically SE/TE: 104: Solving Quadratic Equations, ; 105: Factoring to Solve Quadratic Equations, ; 106: Completing the Square, ; 107: Using the Quadratic Formula, ; 108: Using the Discriminant, ; 109: Choosing a Model, textbook sections 104 GEOMETRY 10. Calculate length, midpoint, and slope of a line segment when given coordinates of its endpoints on the Cartesian plane. SE/TE: 61: Rate of Change and Slope, ; 62: SlopeIntercept Form, ; 63: Standard Form, ; 64: PointSlope Form and Writing Linear Equations, ; 65: Parallel and Perpendicular Lines, Quiz Transparencies 15
16 10. Calculate length, midpoint, and slope of a line segment when given coordinates of its endpoints on the Cartesian plane. Deriving the distance, midpoint, and slope formulas. (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Handson Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 61, 113 textbook sections 61, 113 SE/TE: 61: Rate of Change and Slope, ; 62: SlopeIntercept Form, ; 63: Standard Form, ; 64: PointSlope Form and Writing Linear Equations, ; 65: Parallel and Perpendicular Lines, , 113 textbook sections 61,
17 MEASUREMENT 11. Solve problems algebraically that involve area and perimeter of a polygon, area and circumference of a circle, and volume and surface area of right circular cylinders or right rectangular prisms. SE/TE: Geometry: 9, 14, 15, 51, 63, 70, 75, 79, 85, 92, 97, 98, 100, 103, 108, 109, 111, 114, 126, 144, 156, 158, 165, 166, 179, 190, 193, 194, 215, 250, 251, 265, 288, 296, 302, 316, 322, 349, 350, 366, 367, 375, 382, 388, 408, 409, 414, 428, 459, 460, 464, 468, 470, 471, 477, 491, 494, 500, 504, 505, 506, 515, 532, 533, 535, 538, 539, 545, 551, 571, 572, 589, 593, 594, 595, 596, 604, 610, 632, 640, 660, 663, 665, 690, , 25, 26, 93, 97, 98, 104, 106 textbook sections 12, 25, 26, 93, 97, 98, 104, 106 Applying formulas to solve word problems. SE/TE: See exercises on: 9, 14, 15, 51, 63, 70, 75, 79, 85, 92, 97, 98, 100, 103, 108, 109, 111, 114, 126, 144, 156, 158, 165, 166, 179, 190, 193, 194, 215, 250, 251, 265, 288, 296, 302, 316, 322, 349, 350, 366, 367, 375, 382, 388, 408, 409, 414, 428, 459, 460, 464, 468, 470, 471, 477, 491, 494, 500, 504, 505, 506, 515, 532, 533, 535, 538, 539, 545, 551, 571, 572, 589, 593, 594, 595, 596, 604, 610, 632, 640, 660, 663, 665, 690,
18 DATA ANALYSIS AND PROBABILITY 12. Compare various methods of data reporting, including scatterplots, stemandleaf plots, histograms, boxandwhisker plots, and line graphs, to make inferences or predictions. Determining the effects of linear transformations of data. SE/TE: 19: Graphing Data on the Coordinate Plane, 5964; 27: Using Measures of Central Tendency, ; 51: Relating Graphs to Events, ; 55: Direct Variation, ; 66: Scatter Plots and Equations of Lines, , 51, 66 textbook sections 27, 51, 66 SE/TE: 19: Graphing Data on the Coordinate Plane, 5964; 27: Using Measures of Central Tendency, ; 51: Relating Graphs to Events, ; 55: Direct Variation, ; 66: Scatter Plots and Equations of Lines, Activities, (p) Assessment Resources 18
19 Determining the effects of linear transformations of data. (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 66 textbook sections 66 Determining effects of outliers SE/TE: 19: Graphing Data on the Coordinate Plane, 5964; 27: Using Measures of Central Tendency, ; 51: Relating Graphs to Events, ; 55: Direct Variation, ; 66: Scatter Plots and Equations of Lines, textbook sections 27 Evaluating the appropriateness of the design of a survey SE/TE: 225,
20 13. Identify characteristics of a data set, including measurement or categorical and univariate or bivariate. 14. Use a scatterplot and its line of best fit or a specific line graph to determine the relationship existing between two sets of data, including positive, negative, or no relationship. SE/TE: 19: Graphing Data on the Coordinate Plane, 5964; 27: Using Measures of Central Tendency, ; 51: Relating Graphs to Events, , 66 textbook sections 27, 66 SE/TE: 19: Graphing Data on the Coordinate Plane, 5964; 66: Scatter Plots and Equations of Lines, , 66 Generator (CDROM) 20
21 14. Use a scatterplot and its line of best fit or a specific line graph to determine the relationship existing between two sets of data, including positive, negative, or no relationship. TECH: Resource Pro with Planning Express (CD ROM), Interactive Math Lessons and Tools (CDROM), Technology Activities, Instructional Video Package, IText (instant selfcheck quizzes online and on CDROM)] which accompany textbook sections 19, Estimate probabilities given data in lists or graphs. SE/TE: 45: Applying Ratios to Probability, ; 46: Probability of Compound Events, ; RealWorld Snapshots: Applying Probability, textbook sections 45 Comparing theoretical and experimental probabilities SE/TE: 45: Applying Ratios to Probability, ; 46: Probability of Compound Events, ; RealWorld Snapshots: Applying Probability, on Transparencies, (m) Test Prep Workbook 21
22 Comparing theoretical and experimental probabilities 45 textbook sections
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