ࡱ> 683455@ X9bjbj22 -NXX0b\\\\\\8\\4|``(aaaaaa|||||||$K}R:|baabb:|aaO|gggbaa|gb|g~g h ha` [\\c( h(he|0| hc htnJ ha"bg-bAbaaa:|:|W\\~g\\Foundations for College Mathematics, Grade 11, College Preparation, Grade 11 (MBF3C) Mathematical Models A1: Investigating Graphs and Equations of Quadratic RelationsMcGraw-Hill, Mathematics Applying the Concepts, Grade 10 AppliedAddison Wesley, Foundations of Mathematics, Grade 10 AppliedChapter 8: Quadratic FunctionsChapter 7: From Algebra to Quadratic Equations8.1: Introduce Quadratic FunctionsA1.1, A1.27.2: Common FactoringA1.78.2: Quadratic Functions of the Form y = ax2A1.1-A1.47.4: Multiplying Two BinomialsA1.58.3: Quadratic Functions of the Form y = x2 + kA1.3, A1.47.5: Expanding and Simplifying Polynomial ExpressionsA1.58.4: Quadratic Functions of the Form y = (x-h)2A1.3, A1.47.6: Factoring Trinomials of the Form x2 + bx + cA1.78.5: Quadratic Functions of the Form y = a(x-h)2 + kA1.3, A1.47.7: Factoring a Difference of SquaresA1.77.8: Solving Quadratic Equations by FactoringA1.9Chapter 9: Algebraic ExpressionsChapter 8: Analysing Quadratic Functions9.1: Multiply Two BinomialsA1.58.1: Transforming the Graph of y = x2A1.3,A1.49.2: Special ProductsA1.58.2: Analysing the Graph of y = a(x p)2 + qA1.3, A1.49.4: Common FactorsA1.78.3: Relating the Graphs of y = ax2 + bx + c and y = a(x p)2 + qA1.8, A1.69.5: Factors of a Difference of SquaresA1.78.4: Applications of Quadratic FunctionsA1.1, A.1.29.6: Factors of Trinomials of the Form x2 + bx + cA1.78.5: Mathematical Modelling: The Basketball Free ThrowA1.1, A1.29.7: Solve Quadratic Equations by FactoringA1.9Chapter 10: Solve Problems: Quadratic Functions10.1: Relate Roots and InterceptsA1.8, A1.910.2: Standard and General Forms of A Quadratic FunctionsA1.6, A1.9A2: Understanding Exponential Growth and Decay A3: Investigation of Graphs and Equations of Exponential RelationsMcGraw Hill, Making Financial Decisions 11Addison Wesley, Mathematics of Personal Finance 11Chapter 2: Exponential ExpressionsChapter 3: Exponential Growth2.1: Evaluate Powers with Integral ExponentsA3.1-A3.3Necessary Skills The expectations state determine through investigation which is not the approach in this section.A3.1-A3.32.2: Powers with Rational ExponentsA3.1- A3.33.1: Introduction to Exponential Functions B1.1 A3.52.3: Evaluate Exponential Expressions Using a Scientific CalculatorA3.1- A3.33.2: Rational ExponentsA3.52.4: Solve Exponential Equations Using Common BasesA3.1- A3.33.3: Properties of Exponential FunctionsA3.4, A3.53.4: Exponential GrowthA2.1, A2.3, A3.63.5: Exponential DecayA2.1, A2.3, A3.6Chapter 6: Exponential GrowthThe following expectations are not completely covered by the Addison Wesley textbook6.1: Exponential FunctionsA2.1, A3.4 A3.5A2.2 distinguish exponential growth from linear and quadratic growth by making comparisons in a variety of ways (e.g., comparing rates of change using finite differences in tables of values; inspecting graphs; comparing equations)A2.2 6.2: Sketch Graphs of Exponential FunctionsA2.1, A3.4, A3.5A2.3. pose and solve problems based on applications involving an exponential relation (e.g. population growth, radioactive decay, compound interest) by using a given graph or a graph generated with technology from its equation.A2.3 6.3: Compare Rates of ChangeA2.26.4: Applications of Exponential FunctionsA2.3, A3.6 Personal Finance B1: Solving Problems Involving Compound InterestMcGraw Hill, Making Financial Decisions 11Addison Wesley, Mathematics of Personal Finance 11Chapter 1:Personal Financial PlanningChapter 1: Linear Growth1.4: Simple InterestB1.2, B1.41.5: Simple InterestB1.21.6: Simple Interest: Determining P, r, tB1.2Chapter 3: Sequences and Simple and Compound InterestChapter 2: Compound Interest3.4: Compound InterestB1.1-B1.52.1: Compound InterestB1.2-B1.53.5: Present ValueB1.32.2: The Amount of an Investment3.6: Linear and Exponential GrowthB1.22.3: Compounding Periods Less than One Year2.4: Present Value2.5: Compound Interest: Determine i and n.2.6: Project: Canada Savings BondsB2.2Chapter 7: Planning for the Future7.7: Project: Investment OptionsB2.2The following expectations are not completely covered by the Addison Wesley textbookB1.1 determine, through investigation (e.g., using spreadsheets and graphs), and describe the relationship between compound interest and exponential growthB1.1B1.2 compare, using a table of values and graphs, the simple and compound interest earned for a given principal (i.e., investment) and a fixed interest rate over timeB1.2 B2: Investing and BorrowingMcGraw Hill, Making Financial Decisions 11Addison Wesley, Mathematics of Personal Finance 11Chapter 4: The Effects of CompoundingChapter 5: Annuities: The Cost of Credit4.1: Effect of Interest RatesB2.3 5.7: Project: Debit and Credit2.4, 2.64.2: Effect of Compounding Frequency4.3: Find the Interest Rate4.4: Find the TermB2.3, B2.14.5: Savings and Investment AlternativesB2.1, B2.2Chapter 8: Consumer SpendingThe following expectations are not completely covered by the Addison Wesley textbook8.1: Manage Your Retail DollarB2.1, B2.4, B2.5 B2.6B2.1 determine, through investigation, and compare information about the various savings alternatives commonly available from financial institutions (e.g., savings and chequing accounts, term investments), the related costs (e.g., cost of cheques, monthly statement fees, early withdrawal penalties), and possible ways of reducing the costs (e.g., maintaining a minimum balance in a savings account; paying a monthly flat fee for a package of services);B2.18.2: Manage Debit and Credit CardsB2.4 B2.5 B2.6B2.3 determine, using technology, the effect on savings of changing the variables involved in compound interest (e.g., the effect of different compounding periods on the growth of the same investment) B2.3B2.5 solve problems involving applications of the compound interest formula in determining the cost of borrowing when making a purchase on creditB2.5B3: Owning and Operating a VehicleMcGraw Hill, Making Financial Decisions 11Addison Wesley, Mathematics of Personal Finance 11Chapter 7: Vehicle CostsChapter 7: Planning for the Future7.1: Investigate Buying a New VehicleB3.1, B3.2, B3.37.1: Buying a VehicleB3.17.2: Compare Buying a New Versus a Used Vehicle7.2: Leasing A VehicleB3.17.3: Fixed and Variable Operating Costs7.3: Costs of Operating a VehicleB3.37.4: Buying Versus Leasing7.4: Investigating the Choice of a VehicleB3.1The following expectations are not completely covered by the Addison Wesley textbookB3.2 gather and describe information concerning the procedures and costs involved in insuring a vehicle and the factors affecting insurance rates (e.g., gender, age, driving record, model of vehicle, use of vehicle), and compare the insurance costs for different categories of drivers and for different vehiclesB3.2 Geometry and Trigonometry C1: Representing Two Dimensional Shapes and Three Dimensional FiguresMcGraw Hill, Mathematics 12: Preparing for College & ApprenticeshipAddison Wesley, College and Apprenticeship Mathematics 12Chapter 2: Problem Solving with MeasurementChapter 3: Measurement in Design2.1: Systems of MeasureC1.33.1: Imperial MeasurementC1.32.2: Converting between Metric and ImperialC1.33.6: Problem Solving: Combining ObjectsC1.43.7: Project: LandscapingC1.4Chapter 3:Geometry in DesignChapter 4: Geometry in Design3.1: Geometric Shapes in DesignC1.14.1: Tiling C1.13.2: Representing Three - Dimensional ObjectsC1.2, C1.34.2: Symmetry in Patterns and Designs C1.13.3: Creating Nets, Plans, and PatternsC1.34.3: Representing Objects: Using Perspective and Views C1.23.4: Designing and Constructing Physical ModelsC1.44.4: Representing Objects: Using Scale Drawings C1.24.5: Creating Nets and Patterns from Physical ObjectsC1.34.6: Plans and ModelsC1.34.8: Designing and Constructing a ModelC1.4C2: Applying the Sine Law and the Cosine Law in Acute TrianglesMcGraw Hill, Mathematics 12: Preparing for College & ApprenticeshipAddison Wesley, College and Apprenticeship Mathematics 12Chapter 1: TrigonometryChapter 1: Trigonometry1.1: Using Trigonometry to Find LengthsC2.11.1: Determining Lengths of Sides in Right TrianglesC2.11.2: Using Trigonometry to Find AnglesC2.11.2: Determining the Measures of Angles in Right TrianglesC2.11.4: The Sine LawC2.2, C2.31.3: The Sine Law in Acute Triangles (expectation requires investigation using technology)C2.21.5: The Cosine LawC2.2, C2.31.5: The Cosine Law (expectation requires investigation using technology)C2.21.6: Problem Solving with Non-Right Triangles (all metric)C2.41.6: Solving TrianglesC2.31.7: Selecting a StrategyC2.4 Data Management D1: Working with One-Variable DataMcGraw Hill, Mathematics 12: Preparing for College & ApprenticeshipAddison Wesley, College and Apprenticeship Mathematics 12Chapter 4: Single-Variable StatisticsChapter 5: Sampling4.1: Collecting Data: Sampling TechniquesD1.1, D1.3, D1.4 D1.105.1: Gathering DataD1.14.2: Methods of Collecting DataD1.2 D1.105.2: Selecting a SampleD1.3, D1.44.3: Representing DataD1.5 D1.105.3: Survey DesignD1.34.4: Measures of Central TendencyD1.7, D1.8 D1.105.4: Using Technology to Graph Data D1.54.5: Properties of Common DistributionsD1.8, D1.9 D1.105.5: Assessing Reported Survey ResultsD1.104.6: Properties of Common DistributionsD1.6 D1.105.6: Project: Collecting DataD1.2Chapter 6: Data Analysis6.1: Measures of Central Tendency and Spread D1.7,D1.96.2: Distributions of DataD1.66.3: The Normal DistributionD1.6The following expectations are not completely covered by the Addison Wesley textbookD1.8. calculate, using formulas and/or technology (e.g., dynamic statistical software, spreadsheet, graphing calculator), and interpret measures of central tendency (i.e., mean, median, mode) and measures of spread (i.e., range, standard deviation);D1.8 D2. Applying ProbabilityMcGraw Hill, MATHPOWER NineAddison Wesley, Minds on MathChapter 10: Statistics and ProbabilityChapter 2: Statistics and Probability10.9: Possible OutcomesD2.2Pgs 90 94 : Making Predictions (could extend to include 2.4 and 2.5)D2.310.10: The Probability FormulaD2.2, D2.4Pgs 95 98 : Probability (could extend to include 2.4 and 2.5)D2.210.11: Independent EventsD2.3,D2.5Pgs 82-85: Math and Media, Sampling and TV RatingsD2.610.12: Dependent EventsD2.3, D2.4LEARING TOGETHER: Experimental Probability D2.3, D2.4Pgs 99 108 are interesting and could be added although they are not directly linked to the expectations.The following expectations are not adequately covered by the McGraw Hill MATHPOWER 9 textbookThe following expectations are not adequately covered by the Addison Wesley, Minds on Math textbook D2.1 identify examples of the use of probabilities in the media and various ways in which probability is represented (e.g., as a fraction, as a percent, as a decimal in the range 0 to 1);D2.1D2.1 identify examples of the use of probabilities in the media and various ways in which probability is represented (e.g., as a fraction, as a percent, as a decimal in the range 0 to 1);D2.1D2.6. interpret information involving the use of probability and statistics in the media, and make connections between probability and statistics (e.g., both probabilities and statistics can be used to make predictions).D2.6D2.4. compare, through investigation, the theoretical probability of an event with the experimental probability, and explain why they might differD2.4D2.5. determine, through investigation, the tendency of experimental probability to approach theoretical probability as the number of trials in an experiment increases (e.g., if I simulate tossing a coin 1000 times using technology, the experimental probability that I calculate for tossing tails is likely to be closer to the theoretical probability than if I only simulate tossing the coin 10 times), using 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