# Content Guidelines Overview

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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 re-creations, 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 1-1 Variables and Expressions 1-2 Order of Operations and Evaluating Expressions 1-3 Real Numbers and the Number Line 1-4 Properties of Real Numbers 1-5 Adding and Subtracting Real Numbers 1-6 Multiplying and Dividing Real Numbers 1-7 The Distributive Property 1-8 An Introduction to Equations and Solutions 1-9 Patterns, Equations, and Graphs Chapter 2: Solving Equations 2-1 Solving One-Step Equations 2-2 Solving Two-Step Equations 2-3 Solving Multi-Step Equations 2-4 Solving Equations with Variables on Both Sides 2-5 Literal Equations and Formulas 2-6 Ratios, Rates, and Conversions 2-7 Solving Proportions 2-8 Proportions and Similar Figures 2-9 Percents 2-10 Change Expressed as a Percent Chapter 3: Solving Inequalities 3-1 Inequalities and Their Graphs 3-2 Solving Inequalities Using Addition or Subtraction 3-3 Solving Inequalities Using Multiplication or Division 3-4 Solving Multi-Step Inequalities 3-5 Working with Sets 3-6 Compound Inequalities 3-7 Absolute Value Equations and Inequalities 3-8 Unions and Intersections of Sets Chapter 4: An Introduction to Functions 4-1 Using Graphs to Relate Two Quantities 4-2 Patterns and Linear Functions 4-3 Patterns and Nonlinear Functions 4-4 Graphing a Function Rule 4-5 Writing a Function Rule 4-6 Formalizing Relations and Functions 4-7 Sequences and Functions Chapter 5: Linear Functions 5-1 Rate of Change and Slope 5-2 Direct Variation 5-3 Slope-Intercept Form

4 Chapter 11: Rational Expressions and Functions 11-1 Inverse Variation 11-2 Graphing Rational Functions 11-3 Simplifying Rational Expressions 11-4 Multiplying and Dividing Rational Expressions 11-5 Dividing Polynomials 11-6 Adding and Subtracting Rational Expressions 11-7 Solving Rational Equations Chapter 12: Data Analysis and Probability 12-1 Organizing Data Using Matrices 12-2 Frequency and Histograms 12-3 Measures of Central Tendency and Dispersion 12-4 Box-and-Whisker Plots 12-5 Samples and Surveys 12-6 Permutations and Combinations 12-7 Theoretical and Experimental Probability 12-8 Probability of Compound Events

5 Geometry Table of Contents Chapter 1: Tools of Geometry 1-1 Nets and Drawings for Visualizing Geometry 1-2 Points, Lines, and Planes 1-3 Measuring Segments 1-4 Measuring Angles 1-5 Exploring Angle Pairs 1-6 Basic Constructions 1-7 Midpoint and Distance in the Coordinate Plane 1-8 Perimeter, Circumference, and Area Chapter 2: Reasoning and Proof 2-1 Patterns and Inductive Reasoning 2-2 Conditional Statements 2-3 Biconditionals and Definitions 2-4 Deductive Reasoning 2-5 Reasoning in Algebra and Geometry 2-6 Proving Angles Congruent Chapter 3: Parallel and Perpendicular Lines 3-1 Lines and Angles 3-2 Properties of Parallel Lines 3-3 Proving Lines Parallel 3-4 Parallel and Perpendicular Lines 3-5 Parallel Lines and Triangles 3-6 Constructing Parallel and Perpendicular Lines 3-7 Equations of Lines in the Coordinate Plane 3-8 Slopes of Parallel and Perpendicular Lines Chapter 4: Congruent Triangles 4-1 Congruent Figures 4-2 Triangle Congruence by SSS and SAS 4-3 Triangle Congruence by ASA and AAS 4-4 Using Corresponding Parts of Congruent Triangles 4-5 Isosceles and Equilateral Triangles 4-6 Congruence in Right Triangles 4-7 Congruence in Overlapping Triangles Chapter 5: Relationships Within Triangles 5-1 Midsegments of a Triangle 5-2 Bisectors in Triangles 5-3 Perpendicular and Angle Bisectors 5-4 Medians and Altitudes 5-5 Indirect Proof 5-6 Inequalities in One Triangle 5-7 Inequalities in Two Triangles

6 Chapter 6: Polygons and Quadrilaterals 6-1 The Polygon-Angle Sum Theorems 6-2 Properties of Parallelograms 6-3 Proving That a Quadrilateral is a Parallelogram 6-4 Properties of Rhombuses, Rectangles, and Squares 6-5 Conditions for Rhombuses, Rectangles, and Squares 6-6 Trapezoids and Kites 6-7 Polygons in the Coordinate Plane 6-8 Applying Coordinate Geometry 6-9 Proofs Using Coordinate Geometry Chapter 7: Similarity 7-1 Ratios and Proportions 7-2 Similar Polygons 7-3 Proving Triangles Similar 7-4 Similarity in Right Triangles 7-5 Proportions in Triangles Chapter 8: Right Triangles and Trigonometry 8-1 The Pythagorean Theorem and Its Converse 8-2 Special Right Triangles 8-3 Trigonometry 8-4 Angles of Elevation and Depression 8-5 Vectors Chapter 9: Transformations 9-1 Translations 9-2 Reflections 9-3 Rotations 9-4 Symmetry 9-5 Dilations 9-6 Compositions of Reflections 9-7 Tessellations Chapter 10: Area 10-1 Areas of Parallelograms and Triangles 10-2 Areas of Trapezoids, Rhombuses, and Kites 10-3 Areas of Regular Polygons 10-4 Perimeters and Areas of Similar Figures 10-5 Trigonometry and Area 10-6 Circles and Arcs 10-7 Areas of Circles and Sectors 10-8 Geometric Probability Chapter 11: Surface Area and Volume 11-1 Space Figures and Cross Sections 11-2 Surface Areas of Prisms and Cylinders 11-3 Surface Areas of Pyramids and Cones 11-4 Volumes of Prisms and Cylinders 11-5 Volumes of Pyramids and Cones

7 11-6 Surface Areas and Volumes of Spheres 11-7 Areas and Volumes of Similar Solids Chapter 12: Circles 12-1 Tangent Lines 12-2 Chords and Arcs 12-3 Inscribed Angles 12-4 Angle Measures and Segment Lengths 12-5 Circles in the Coordinate Plane 12-6 Locus: A Set of Points

9 5-8 Polynomial Models in the Real World 5-9 Transforming Polynomial Functions Chapter 6: Radical Functions and Rational Exponent 6-1 Roots and Radical Expressions 6-2 Multiplying and Dividing Radical Expressions 6-3 Binomial Radical Expressions 6-4 Rational Exponents 6-5 Solving Sq Root and Other Radical Equations 6-6 Function Operations 6-7 Inverse Relations and Functions 6-8 Graphing Sq Root and Other Radical Functions Chapter 7: Exponential and Logarithmic Functions 7-1 Exploring Exponential Models 7-2 Properties of Exponential Functions 7-3 Logarithmic Functions as Inverses 7-4 Properties of Logarithms 7-5 Exponential and Logarithmic Equations 7-6 Natural Logarithms Chapter 8: Rational Functions 8-1 Inverse Variation 8-2 The Reciprocal Function Family 8-3 Rational Functions and Their Graphs 8-4 Rational Expressions 8-5 Adding and Subtracting Rational Expressions 8-6 Solving Rational Equations Chapter 9: Sequences and Series 9-1 Mathematical Patterns 9-2 Arithmetic Sequences 9-3 Geometric Sequences 9-4 Arithmetic Series 9-5 Geometric Series Chapter 10: Quadratic Relations and Conic Sections 10-1 Exploring Conic Sections 10-2 Parabolas 10-3 Circles 10-4 Ellipses 10-5 Hyperbolas 10-6 Translating Conic Sections Chapter 11: Probability and Statistics 11-1 Permutations and Combinations 11-2 Probability 11-3 Probability of Multiple Events 11-4 Conditional Probability 11-5 Analyzing Data

10 11-6 Standard Deviation 11-7 Working With Samples and Surveys 11-8 Binomial Distributions 11-9 Normal Distributions Chapter 12 Matrices 12-1 Adding and Subtracting Matrices 12-2 Matrix Multiplication 12-3 Matrices, Determinants, and Inverses 12-4 Inverse Matrices and Systems 12-5 Geometric Transformations With Matrices 12-6 Vectors Chapter 13 Periodic Functions and Trigonometry 13-1 Exploring Periodic Data 13-2 Angles and the Unit Circle 13-3 Radian Measure 13-4 The Sine Function 13-5 The Cosine Function 13-6 The Tangent Function 13-7 Translating Sine and Cosine Functions 13-8 Reciprocal Trigonometric Functions Chapter 14 Trigonometric Identities and Equations 14-1 Trigonometric Identities 14-2 Solving Trig Equations Using Inverses 14-3 Right Triangles and Trigonometric Ratios 14-4 Area and the Law of Sines 14-5 The Law of Cosines 14-6 Angle Identities 14-7 Double Angle and Half Angle Identities

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