CHAPTER 1 - McGraw-Hill Ryerson

INTRODUCTIONMATHPOWER 10, Ontario EditionTeacher’s ResourceContentsCONTENTS of MATHPOWER 10, Ontario Edition, Teacher’s ResourceAn Overview of the MATHPOWER 10, Ontario Edition, ProgramA Tour of the MATHPOWER 10, Ontario Edition, Teacher ResourceA Tour of the MATHPOWER 10, Ontario Edition, Student TextOntario Grade 10 Mathematics Academic Curriculum Correlations:The Ontario Curriculum to MATHPOWER 10, Ontario EditionMATHPOWER 10, Ontario Edition to the Ontario CurriculumImplementing MATHPOWER 10, Ontario Edition and the New CurriculumReaching All StudentsCooperative LearningMathematical ModellingCommunication in MathematicsLearning About Problem SolvingRich Problem Solving SituationsOverview of Technology in MATHPOWER 10, Ontario Edition, Student TextCHAPTER 1Linear SystemsChapter Opener:Specific ExpectationsModelling Math: Comparing Costs and Revenues 1Getting Started:Social Insurance Numbers 2Review of Prerequisite Skills 31.1 Investigation: Ordered Pairs and Solutions 41.2 Solving Linear Systems Graphically 61.3 Solving Linear Systems by Substitution 161.4 Investigation: Equivalent Equations 241.5 Solving Linear Systems by Elimination 26Technology Extension: Solving Linear Systems 341.6 Investigation: Translating Words Into Equations 361.7 Solving Problems Using Linear Systems 38Rich Problem: Ape/Monkey Populations 48Review of Key Concepts 50Chapter Test 54Problem Solving: Use a Data Bank 56Problem Solving: Model and Communicate Solutions 58Problem Solving: Using the Strategies 61Chapter 1, Student Text Answers A 1-1Chapter 1, Achievement Check Rubrics R 1-11

CHAPTER 5Quadratic EquationsChapter Opener:Specific Expectations 266Modelling Math: The Motion of Airborne Objects 267Getting Started:Ocean Waves 268Review of Prerequisite Skills 2695.1 Solving Quadratic Equations by Graphing 2705.2 Solving Quadratic Equations by Factoring 2785.3 Investigation: Graphing Quadratic Functions by Factoring 2875.4 The Quadratic Formula 288Technology Extension: Solving Quadratic Equations 296Rich Problem: The Golden Ratio 298Review of Key Concepts 301Chapter Test 305Problem Solving: Solve a Simpler Problem 306Problem Solving: Use a Table or Spreadsheet 308Problem Solving: Using the Strategies 311Chapter 5, Student Text Answers A 5-1Chapter 5, Achievement Check Rubrics R 5-15

CHAPTER 6TrigonometryChapter Opener:Specific Expectations 312Modelling Math: Measuring Inaccessible Heights and Widths 313Getting Started:Using the Pythagorean Theorem 314Review of Prerequisite Skills 3156.1 Technology: Properties of Similar Triangles Using The Geometer’s Sketchpad® 3166.2 Similar Triangles 3186.3 The Tangent Ratio 3266.4 The Sine Ratio 3346.5 The Cosine Ratio 3406.6 Solving Right Triangles 3466.7 Problems Involving Two Right Triangles 3526.8 Technology: Relationships Between Angles and Sides in Acute Triangles 3606.9 The Sine Law 3626.10 The Cosine Law 369Technology Extension: Graphing Calculator Programs 377Rich Problem: An Archaeological Site 378Review of Key Concepts 380Chapter Test 390Problem Solving: Using the Strategies 392Cumulative Review: Chapters 5 and 6 393Cumulative Review: Chapters 1–6 394Chapter 6, Student Text Answers A 6-1Chapter 6, Achievement Check Rubrics R 6-1BACK MATTERTeacher Resource Masters1-cm grid paper0.5-cm grid paper1-cm square dot paperAppendix A: Review of Prerequisite SkillsReview of Prerequisite Skills, AnswersAppendix B: Graphing Calculator KeystrokesAppendix C: Using The Geometer’s Sketchpad®GlossaryTechnology IndexIndexCreditsxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx6

ADDITIONAL RELATED RESOURCESMATHPOWER 10, Ontario Edition, Assessment and Evaluation Resource KitAssessment StrategiesPaper-and-Pencil Tests and QuizzesPerformance TasksJournalsPortfoliosObservation and QuestioningPresentations and DiscussionsInterviews and ConferencesProjectsAssessment ToolsThe Achievement ChartCreating and Using RubricsAnalytic ScoringAnecdotal Assessment CommentsAssessing Group WorkGeneral Assessment Tips and How to Get StartedEvaluation—The Final GradeAssessment MastersProblem Solving ChecklistReflections on How Our Group WorkedLearning Skills InventoryCommunication and Application InventoryHow I worked—Self-AssessmentObservation Recording SheetAssessing Work in ProgressSelf-Check Review MastersCHAPTER 1 Linear SystemsCHAPTER 2 Analytic GeometryCHAPTER 3 PolynomialsCHAPTER 4 Quadratic FunctionsCHAPTER 5 Quadratic EquationsCHAPTER 6 TrigonometryCumulative Review MastersCumulative Review: Chapters 1 and 2Cumulative Review: Chapters 3 and 4Cumulative Review: Chapters 5 and 6Cumulative Review: Chapters 1 – 6Alternate Chapter TestsCHAPTER 1 Test Linear SystemsCHAPTER 2 Test Analytic GeometryCHAPTER 3 Test PolynomialsCHAPTER 4 Test Quadratic FunctionsCHAPTER 5 Test Quadratic EquationsCHAPTER 6 Test Trigonometry7

MATHPOWER 10, Ontario Edition, Practice MastersExtra Practice SheetsCHAPTER 1 Linear Systems1.1 Investigation: Ordered Pairs and Solutions1.2 Solving Linear Systems Graphically1.3 Solving Linear Systems by Substitution1.4 Investigation: Equivalent Equations1.5 Solving Linear Systems by Elimination1.6 Investigation: Translating Words Into Equations1.7 Solving Problems Using Linear SystemsCHAPTER 2 Analytic Geometry2.1 Length of a Line Segment2.2 Investigation: Midpoints of Horizontal and Vertical Line Segments2.3 Midpoint of a Line Segment2.4 Verifying Properties of Geometric Figures2.5 Distance From a Point to a LineCHAPTER 3 Polynomials3.1 Polynomials3.2 Multiplying Binomials3.3 Special Products3.4 Common Factors3.5 Factoring x 2 + bx + c3.6 Factoring ax 2 + bx + c, a ≠ 13.7 Factoring Special QuadraticsCHAPTER 4 Quadratic Functions4.1 Functions4.2 Graphing y = x 2 + k, y = ax 2 , and y = ax 2 + k4.3 Graphing y = a(x − h) 2 + k4.4 Graphing y = ax 2 + bx + c by Completing the Square4.5 Investigation: Sketching Parabolas in the Form y = ax(x − s) + t4.6 Investigation: Finite Differences4.7 Technology: Equations of Parabolas of Best Fit4.8 Technology: Collecting Distance and Time Data Using CBR or CBLCHAPTER 5 Quadratic Equations5.1 Solving Quadratic Equations by Graphing5.2 Solving Quadratic Equations by Factoring5.3 Investigation: Graphing Quadratic Functions by Factoring5.4 The Quadratic FormulaCHAPTER 6 Trigonometry6.1 Technology: Properties of Similar Triangles6.2 Similar Triangles6.3 The Tangent Ratio6.4 The Sine Ratio6.5 The Cosine Ratio6.6 Solving Right Triangles6.7 Problems Involving Two Right Triangles6.8 Technology: Relationships Between Angles and Sides in Acute Triangles6.9 The Sine Law6.10 The Cosine Law8

Extra Practice of Prerequisite SkillsAdding PolynomialsAngle PropertiesCommon FactoringCongruent TrianglesEvaluating ExpressionsEvaluating RadicalsExpanding ExpressionsExponent RulesFirst DifferencesGraphing EquationsGreatest Common FactorsLengths of Line SegmentsLike TermsPolynomialsPythagorean TheoremSimplifying ExpressionsSlopeSolving EquationsSolving ProportionsSubtracting PolynomialsTransformationsMATHPOWER 10, Ontario Edition, SolutionsCHAPTER 1 Linear SystemsCHAPTER 2 Analytic GeometryCHAPTER 3 PolynomialsCHAPTER 4 Quadratic FunctionsCHAPTER 5 Quadratic EquationsCHAPTER 6 TrigonometryMATHPOWER 10, Ontario Edition, Computerized Assessment BankCHAPTER 1 Linear SystemsCHAPTER 2 Analytic GeometryCHAPTER 3 PolynomialsCHAPTER 4 Quadratic FunctionsCHAPTER 5 Quadratic EquationsCHAPTER 6 Trigonometry9