Content Guidelines Overview


 Christian Potter
 3 years ago
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1 Content Guidelines Overview The Pearson Video Challenge is open to all students, but all video submissions must relate to set of predetermined curriculum areas and topics. In the following pages the selected topics for Algebra, Geometry and Algebra 2 are listed. While the video topics are quite specific, how the video addresses these topics is wide open. Student videos can be documentaries, dramatic recreations, animated cartoons, music videos, or any form of presentation. Creativity is encouraged, as is specificity of the topic chosen. Pearson has several student videos that can serve as samples of the kinds of student videos that can be produced. Specifically, the following videos are available to share with students: 1) A segment on basketball that also deals with scatterplot data. 2) A science fiction segment that deals with linear functions. The math topic is clearly explained, while the video narrative is something that students can relate to. The reason for sharing these videos with students is simply to encourage them to think creatively about the videos.
2 Algebra 1 Table of Contents Chapter 1: Foundations for Algebra 11 Variables and Expressions 12 Order of Operations and Evaluating Expressions 13 Real Numbers and the Number Line 14 Properties of Real Numbers 15 Adding and Subtracting Real Numbers 16 Multiplying and Dividing Real Numbers 17 The Distributive Property 18 An Introduction to Equations and Solutions 19 Patterns, Equations, and Graphs Chapter 2: Solving Equations 21 Solving OneStep Equations 22 Solving TwoStep Equations 23 Solving MultiStep Equations 24 Solving Equations with Variables on Both Sides 25 Literal Equations and Formulas 26 Ratios, Rates, and Conversions 27 Solving Proportions 28 Proportions and Similar Figures 29 Percents 210 Change Expressed as a Percent Chapter 3: Solving Inequalities 31 Inequalities and Their Graphs 32 Solving Inequalities Using Addition or Subtraction 33 Solving Inequalities Using Multiplication or Division 34 Solving MultiStep Inequalities 35 Working with Sets 36 Compound Inequalities 37 Absolute Value Equations and Inequalities 38 Unions and Intersections of Sets Chapter 4: An Introduction to Functions 41 Using Graphs to Relate Two Quantities 42 Patterns and Linear Functions 43 Patterns and Nonlinear Functions 44 Graphing a Function Rule 45 Writing a Function Rule 46 Formalizing Relations and Functions 47 Sequences and Functions Chapter 5: Linear Functions 51 Rate of Change and Slope 52 Direct Variation 53 SlopeIntercept Form
3 54 PointSlope Form 55 Standard Form 56 Parallel and Perpendicular Lines 57 Scatter Plots and Trend Lines 58 Graphing Absolute Value Functions Chapter 6: Systems of Linear Equations and Inequalities 61 Solving Systems by Graphing 62 Solving Systems Using Substitution 63 Solving Systems Using Elimination 64 Applications of Linear Systems 65 Linear Inequalities 66 Systems of Linear Inequalities Chapter 7: Exponents and Exponential Functions 71 Zero and Negative Exponents 72 Scientific Notation 73 Multiplying Powers with the Same Base 74 More Multiplication Properties of Exponents 75 Division Properties of Exponents 76 Exponential Functions 77 Exponential Growth and Decay Chapter 8: Polynomials and Factoring 81 Adding and Subtracting Polynomials 82 Multiplying and Factoring 83 Multiplying Binomials 84 Multiplying Special Case Binomials 85 Factoring x2 + bx + c 86 Factoring ax2 + bx + c 87 Factoring Special Cases 88 Factoring by Grouping Chapter 9: Quadratic Functions and Equations 91 Quadratic Graphs and Their Properties 92 Quadratic Functions 93 Solving Quadratic Equations 94 Factoring to Solve Quadratic Equations 95 Completing the Square 96 The Quadratic Formula and the Discriminant 97 Choosing a Linear, Quadratic, or Exponential Model 98 Systems of Linear and Quadratic Equations Chapter 10: Radical Expressions and Equations 101 Pythagorean Theorem 102 Simplifying Radicals 103 Operations with Radical Expressions 104 Solving Radical Equations 105 Graphing Square Root Functions 106 Trigonometric Ratios
4 Chapter 11: Rational Expressions and Functions 111 Inverse Variation 112 Graphing Rational Functions 113 Simplifying Rational Expressions 114 Multiplying and Dividing Rational Expressions 115 Dividing Polynomials 116 Adding and Subtracting Rational Expressions 117 Solving Rational Equations Chapter 12: Data Analysis and Probability 121 Organizing Data Using Matrices 122 Frequency and Histograms 123 Measures of Central Tendency and Dispersion 124 BoxandWhisker Plots 125 Samples and Surveys 126 Permutations and Combinations 127 Theoretical and Experimental Probability 128 Probability of Compound Events
5 Geometry Table of Contents Chapter 1: Tools of Geometry 11 Nets and Drawings for Visualizing Geometry 12 Points, Lines, and Planes 13 Measuring Segments 14 Measuring Angles 15 Exploring Angle Pairs 16 Basic Constructions 17 Midpoint and Distance in the Coordinate Plane 18 Perimeter, Circumference, and Area Chapter 2: Reasoning and Proof 21 Patterns and Inductive Reasoning 22 Conditional Statements 23 Biconditionals and Definitions 24 Deductive Reasoning 25 Reasoning in Algebra and Geometry 26 Proving Angles Congruent Chapter 3: Parallel and Perpendicular Lines 31 Lines and Angles 32 Properties of Parallel Lines 33 Proving Lines Parallel 34 Parallel and Perpendicular Lines 35 Parallel Lines and Triangles 36 Constructing Parallel and Perpendicular Lines 37 Equations of Lines in the Coordinate Plane 38 Slopes of Parallel and Perpendicular Lines Chapter 4: Congruent Triangles 41 Congruent Figures 42 Triangle Congruence by SSS and SAS 43 Triangle Congruence by ASA and AAS 44 Using Corresponding Parts of Congruent Triangles 45 Isosceles and Equilateral Triangles 46 Congruence in Right Triangles 47 Congruence in Overlapping Triangles Chapter 5: Relationships Within Triangles 51 Midsegments of a Triangle 52 Bisectors in Triangles 53 Perpendicular and Angle Bisectors 54 Medians and Altitudes 55 Indirect Proof 56 Inequalities in One Triangle 57 Inequalities in Two Triangles
6 Chapter 6: Polygons and Quadrilaterals 61 The PolygonAngle Sum Theorems 62 Properties of Parallelograms 63 Proving That a Quadrilateral is a Parallelogram 64 Properties of Rhombuses, Rectangles, and Squares 65 Conditions for Rhombuses, Rectangles, and Squares 66 Trapezoids and Kites 67 Polygons in the Coordinate Plane 68 Applying Coordinate Geometry 69 Proofs Using Coordinate Geometry Chapter 7: Similarity 71 Ratios and Proportions 72 Similar Polygons 73 Proving Triangles Similar 74 Similarity in Right Triangles 75 Proportions in Triangles Chapter 8: Right Triangles and Trigonometry 81 The Pythagorean Theorem and Its Converse 82 Special Right Triangles 83 Trigonometry 84 Angles of Elevation and Depression 85 Vectors Chapter 9: Transformations 91 Translations 92 Reflections 93 Rotations 94 Symmetry 95 Dilations 96 Compositions of Reflections 97 Tessellations Chapter 10: Area 101 Areas of Parallelograms and Triangles 102 Areas of Trapezoids, Rhombuses, and Kites 103 Areas of Regular Polygons 104 Perimeters and Areas of Similar Figures 105 Trigonometry and Area 106 Circles and Arcs 107 Areas of Circles and Sectors 108 Geometric Probability Chapter 11: Surface Area and Volume 111 Space Figures and Cross Sections 112 Surface Areas of Prisms and Cylinders 113 Surface Areas of Pyramids and Cones 114 Volumes of Prisms and Cylinders 115 Volumes of Pyramids and Cones
7 116 Surface Areas and Volumes of Spheres 117 Areas and Volumes of Similar Solids Chapter 12: Circles 121 Tangent Lines 122 Chords and Arcs 123 Inscribed Angles 124 Angle Measures and Segment Lengths 125 Circles in the Coordinate Plane 126 Locus: A Set of Points
8 Algebra 2 Table of Contents Chapter 1: Expressions, Equations, and Inequalities 11 Patterns and Expressions 12 Properties of Real Numbers 13 Algebraic Expressions 14 Solving Equations 15 Solving Inequalities 16 Absolute Value Equations and Inequalities Chapter 2: Functions, Equations, and Graphs 21 Relations and Functions 22 Direct Variation 23 SlopeIntercept Form 24 Linear Equations or More Linear Equations 25 Using Linear Models (line of best fit) 26 Families of Functions (transformations) 27 Absolute Value Functions and Graphs 28 Two Variable Inequalities Chapter 3: Linear Systems 31 Solving Systems Using Tables and Graphs 32 Solving Systems Algebraically 33 Systems of Inequalities 34 Linear Programming 35 Systems With Three Variables 36 Solving Systems Using Matrices Chapter 4: Quadratic Functions and Equations 41 The Quadratic Function and Its Transformations 42 Standard Form of a Quadratic Function 43 Modeling With Quadratic Functions 44 Factoring Quadratic Expressions 45 Quadratic Equations 46 Completing the Square 47 The Quadratic Formula 48 Complex Numbers 49 Systems of Quadratic Equations and Inequalities Chapter 5: Polynomials and Polynomial Functions 51 Polynomial Functions 52 Zeros and Linear Factors 53 Solving Polynomial Equations 54 Dividing Polynomials 55 Theorems About Roots of Polynomial Equations 56 The Fundamental Theorem of Algebra 57 The Binomial Theorem
9 58 Polynomial Models in the Real World 59 Transforming Polynomial Functions Chapter 6: Radical Functions and Rational Exponent 61 Roots and Radical Expressions 62 Multiplying and Dividing Radical Expressions 63 Binomial Radical Expressions 64 Rational Exponents 65 Solving Sq Root and Other Radical Equations 66 Function Operations 67 Inverse Relations and Functions 68 Graphing Sq Root and Other Radical Functions Chapter 7: Exponential and Logarithmic Functions 71 Exploring Exponential Models 72 Properties of Exponential Functions 73 Logarithmic Functions as Inverses 74 Properties of Logarithms 75 Exponential and Logarithmic Equations 76 Natural Logarithms Chapter 8: Rational Functions 81 Inverse Variation 82 The Reciprocal Function Family 83 Rational Functions and Their Graphs 84 Rational Expressions 85 Adding and Subtracting Rational Expressions 86 Solving Rational Equations Chapter 9: Sequences and Series 91 Mathematical Patterns 92 Arithmetic Sequences 93 Geometric Sequences 94 Arithmetic Series 95 Geometric Series Chapter 10: Quadratic Relations and Conic Sections 101 Exploring Conic Sections 102 Parabolas 103 Circles 104 Ellipses 105 Hyperbolas 106 Translating Conic Sections Chapter 11: Probability and Statistics 111 Permutations and Combinations 112 Probability 113 Probability of Multiple Events 114 Conditional Probability 115 Analyzing Data
10 116 Standard Deviation 117 Working With Samples and Surveys 118 Binomial Distributions 119 Normal Distributions Chapter 12 Matrices 121 Adding and Subtracting Matrices 122 Matrix Multiplication 123 Matrices, Determinants, and Inverses 124 Inverse Matrices and Systems 125 Geometric Transformations With Matrices 126 Vectors Chapter 13 Periodic Functions and Trigonometry 131 Exploring Periodic Data 132 Angles and the Unit Circle 133 Radian Measure 134 The Sine Function 135 The Cosine Function 136 The Tangent Function 137 Translating Sine and Cosine Functions 138 Reciprocal Trigonometric Functions Chapter 14 Trigonometric Identities and Equations 141 Trigonometric Identities 142 Solving Trig Equations Using Inverses 143 Right Triangles and Trigonometric Ratios 144 Area and the Law of Sines 145 The Law of Cosines 146 Angle Identities 147 Double Angle and Half Angle Identities
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