Maths Quest: Maths B Year 11 for Queensland
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Home > Children's Books > Education & Reference > Mathematics, science and technology > Mathematics and numeracy > Maths Quest: Maths B Year 11 for Queensland: Mathematics B, Year 11 for Queensland
Maths Quest: Maths B Year 11 for Queensland: Mathematics B, Year 11 for Queensland

Maths Quest: Maths B Year 11 for Queensland: Mathematics B, Year 11 for Queensland


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About the Book

YEAR 11 THE SERIES A complete Maths package - student texts, student CD-ROMs and a teacher support Web site. *Published specifically for the revised Queensland Senior Maths A, B and C syllabuses for implementation with Year 11 in 2002 and Year 12 in 2003. *Written and compiled by practising Queensland Maths teachers and based on Australia's largest Mathematics project. *Maths Quest has been developed in close consultation with Australia's mathematics teachers to ensure we deliver products that work in the classroom. Each Maths Quest chapter is put through rigorous checks, reviews and trials to ensure: *all exercises are well graded with many skill and application problems, including multiple-choice questions *worked examples are extremely clear and match exercises exactly *a good balance of real-life application questions, investigations and career profiles *that summary and chapter review exercises are comprehensive *the content and approach match the curriculum *technology applications have been fully integrated where appropriate. A CD-ROM WITH EVERY PURCHASE Each Maths Quest book features a CD-ROM with: *the entire text, and hyperlinks to technology applications, answers and worked examples *hundreds of interactive technology files, including spreadsheets, dynamic geometry, graphics calculator programs, computer algebra systems and more *revision Worksheets and Test yourself sets of mulitple-choice questions *Skillsheets to support students experiencing any difficulties. WEB SITE www.jaconline.com.au/maths Our website offers complete support for all Maths Quest users: *download student worksheets, graded skillbuilders and investigations - FREE! *download a choice of maths software and text chapters to complete sample problems - FREE! *keep up-to-date with new resources in the Maths Quest range *links to other mathematics and related software sites *curriculum information, work programs for maths teachers

Table of Contents:
Introduction Acknowledgements Chapter 1: Modelling using linear functions Introduction Solving linear equations Rearrangement and substitution Career profile: Rick Morris - Vigneron Gradient of a straight line Equations of the form y = mx c Sketching linear graphs using intercepts Simultaneous equations Formula for finding the equation of a straight line Linear modelling Summary Chapter review Chapter 2: Relations and functions Introduction Set notation Relations and graphs Domain and range Investigation - Interesting relations Types of relations (including functions) Function notation Special types of function Investigation - A special relation Circles Functions and modelling Summary Chapter review Chapter 3: Other graphs and modelling Introduction The parabola (turning point form) Investigation - Plotting quadratic equations The cubic function of the form Investigation - Plotting cubic equations The hyperbola The square root function The absolute valuefunction Career profile: Janet Williams - Studio Manager/Graphic Designer Addition of ordinates Modelling Investigation - Goal accuracy Summary Chapter review Chapter 4: Triangle trigonometry Introduction Calculating trigonometric ratios Investigation - Looking at the tangent ratio Investigation - Looking at the sine ratio Investigation - Looking at the cosine ratio Finding an unknown side Finding angles Applications of right-angled triangles Investigation - Fly like a bird The sine rule Investigation - Derivation of the sine rule Investigation - Bearing east and west The cosine rule Career profile: Richard Kennedy - Site Engineer Summary Chapter review Chapter 5: Graphing periodic functions Introduction Period and amplitude of a periodic function Investigation - Temperature and tide Investigation - Rhythm of life Investigation - Ferris wheeling Radian measure Investigation - Finding a radian Exact values Symmetry Trigonometric graphs Investigation - The effect of 2 Investigation - How high? Applications Summary Chapter review Chapter 6: Trigonometric equations Introduction Simple trigonometric equations Equations using radians Further trigonometric equations Investigation - Fishing Identities Investigation - Further trigonometric identities Using the Pythagorean identity Summary Chapter review Chapter 7: Exponentialand logarithmic functions Introduction Index laws Negative and rational powers Indicial equations Investigation - Simulating radioactivity Graphs of exponential functions Investigation - A world population model Investigation - Bode's Law Logarithms Solving logarithmic equations Investigation - Logarithmic graphs Investigation - The slide rule Applications of exponential and logarithmic functions Investigation - The decibel Investigation - The Richter scale Summary Chapter review Chapter 8: Applications of exponential and logarithmic functions in financial mathematics Introduction Geometric sequences Geometric series Investigation - Crossing the road Introduction to growth and decay Growth and decay functions Compound interest formula Reducing balance loans Loan schedules Investigation - Loan schedules using spreadsheets Investigation - Spreadsheets and investing for the future The annuities formula Investigation - Buying a home Summary Chapter review Chapter 9: Presentation of data Introduction Types of variables and data Investigation - Types of data Collection of data Investigation - Gallup poll Investigation - Identifying the target population Investigation - Census or sample? Bias Investigation - Biased sampling Investigation - Women and work Investigation - Cost of a house Displaying data Stem plots Frequency histograms and bar charts Investigation - Segmented bar chart Investigation - Looking at cost Investigation - Using a database Describing the shape of stem plots and histograms Cumulative data Investigation - A different display Summary Chapter review Chapter 10: Summary statistics Introduction Measures of central tendency Investigation - Mean and median amount of soft drink Range and interquartile range Investigation - Range of soft drink amounts The standard deviation Investigation - Standard deviation of soft drink amounts Boxplots Back-to-back stem plots Parallel boxplots Summary Chapter review Chapter 11: Introduction to probability Introduction Informal description of chance Investigation - What will the weather be? Single event probability Investigation - Comparing theoretical probabilities with experimental results Investigation - Experimental or theoretical? Relative frequency Investigation - Researching relative frequencies Investigation - Applying relative frequency Modelling probability Investigation - Random choice Long-run proportion Summary Chapter review Chapter 12: Rates of change Introduction Constant rates Variable rates Average rates of change Instantaneous rates Motion graphs Relating the gradient function to the original function Relating velocity-time graphs to position-time graphs Rates of change of polynomials Career profile: Roger Farrer - Data Manager Summary Chapter review Chapter 13: Differentiation and Applications Introduction The limit Investigation - Sneaking up on a limit Limits of discontinuous, rational and hybrid functions Investigation - Dirichlet's function Differentation using first principles Investigation - Secants and tangents Finding derivatives by rule Investigation - Graphs of derivatives Rates of change Solving maximum and minimum problems Investigation - When is a maximum not a maximum? Summary Chapter review Answers Index


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Product Details
  • ISBN-13: 9780701636265
  • Publisher: John Wiley & Sons Australia Ltd
  • Publisher Imprint: John Wiley & Sons Australia Ltd
  • Sub Title: Mathematics B, Year 11 for Queensland
  • ISBN-10: 0701636262
  • Publisher Date: 30 Nov 2001
  • Binding: Paperback
  • Weight: 1380 gr


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Maths Quest: Maths B Year 11 for Queensland: Mathematics B, Year 11 for Queensland
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