Maths Quest Maths B Year 11 for Queensland, Solutions Maual, 2nd Edition

ISBN: 978-0-731-40812-2

Jun 2009, Jacaranda

227 pages

Select type: Paperback

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Description

Maths Quest Maths B Year 11 for QLD 2E Solutions Manual is part of a complete Maths package which includes the Student Text, Teacher Editions, and now also supported witheBookPLUS and eGuidePLUS!

The second editions of this highly successful maths series have been updated to meet the requirements of the revision of Maths Year 11 syllabus for implementation from 2009.

Features

• Fully worked solutions to every question and investigation in the student textbook
• Allows students to regularly check their understandings in class
• Assists students to continue working if they become confused, either when they are working independently at home or if the teacher is not available to support them.

Chapter 1 — Modelling using linear functions.
Exercise 1A — Solving linear equations.
Exercise 1B — Rearrangement and substitution.
Exercise 1C — Gradient of a straight line.
Exercise 1D — Equations of the form y = mx + c.
Exercise 1E — Sketching linear graphs using intercepts.
Exercise 1F — Simultaneous equations.
Exercise 1G — Formula for finding the equation of a straight line.
Exercise 1H — Linear modelling.
Chapter review.
Modelling and problem solving.

Chapter 2 — Relations and functions.
Exercise 2A — Relations and graphs.
Exercise 2B — Domain and range.
Exercise 2C — Types of relations (including functions).
Exercise 2D — Function notation and special types of functions.
Exercise 2E — Inverse relations and functions.
Exercise 2F — Circles.
Exercise 2G — Functions and modelling.
Chapter review.
Modelling and problem solving.

Chapter 3 — Other graphs and modelling.
Exercise 3A — Transforming graphs.
Exercise 3B — Sketching graphs using transformations.
Exercise 3C — Sketching graphs using intercepts.
Exercise 3D — The hyperbola.
Exercise 3E — The square root function.
Exercise 3F — The absolute value function.
Exercise 3G — Addition of ordinates.
Exercise 3H — Modelling.
Exercise 3I — Modelling using a graphics calculator.
Chapter review.
Modelling and problem solving.

Chapter 4 — Triangle trigonometry.
Exercise 4A — Calculating trigonometric ratios.
Exercise 4B — Finding an unknown side.
Exercise 4C — Finding angles.
Exercise 4D — Applications of right-angled triangles.
Exercise 4E — Using the sine rule to find side lengths.
Exercise 4F — Using the sine rule to find angle sizes.
Exercise 4G — Using the cosine rule to find side lengths.
Exercise 4H — Using the cosine rule to find angles.
Chapter review.
Modelling and problem solving.

Chapter 5 — Graphing periodic functions.
Exercise 5A — Period and amplitude of a periodic function.
Exercise 5C — Exact values.
Exercise 5D — Symmetry.
Exercise 5E — Trigonometric graphs.
Exercise 5F — Applications.
Chapter review.
Modelling and problem solving.

Chapter 6 — Trigonometric equations.
Exercise 6A — Simple trigonometric equations.
Exercise 6B — Equations using radians.
Exercise 6C — Further trigonometric equations.
Exercise 6D — Identities.
Exercise 6E — Using the Pythagorean identity.
Chapter review.
Modelling and problem solving.

Chapter 7 — Exponential and logarithmic functions.
Exercise 7A — Index laws.
Exercise 7B — Negative and rational powers.
Exercise 7C — Indicial equations.
Exercise 7D — Graphs of exponential functions.
Exercise 7E — Logarithms.
Exercise 7F — Solving logarithmic equations.
Exercise 7G — Applications of exponential and logarithmic functions.
Chapter review.
Modelling and problem solving.

Chapter 8 — Applications of exponential and logarithmic functions in financial mathematics.
Exercise 8A — Geometric sequences.
Exercise 8B — Geometric series.
Exercise 8C — Growth and decay functions.
Exercise 8D — Compound interest formula.
Exercise 8E — Loan schedules.
Exercise 8F — The annuities formula.
Chapter review.
Modelling and problem solving.

Chapter 9 — Presentation of data.
Exercise 9A — Types of variables and data.
Exercise 9B — Collection of data.
Exercise 9C — Bias.
Exercise 9D — Stem plots.
Exercise 9E — Frequency histograms and bar charts.
Exercise 9F — Describing the shape of stem plots and histograms.
Exercise 9G — Cumulative data.
Chapter review.
Modelling and problem solving.

Chapter 10 — Summary statistics.
Exercise 10A — Measures of central tendency.
Exercise 10B — Range and interquartile range.
Exercise 10C — The standard deviation.
Exercise 10D — Boxplots.
Exercise 10E — Back-to-back stem plots.
Exercise 10F — Parallel boxplots.
Chapter review.
Modelling and problem solving.

Chapter 11 — Introduction to probability.
Exercise 11A — Informal description of chance.
Exercise 11B — Single event probability.
Exercise 11C — Relative frequency.
Exercise 11D — Modelling probability.
Exercise 11E — Long-run proportion.
Chapter review.
Modelling and problem solving.

Chapter 12 — Rates of change.
Exercise 12A — Constant rates.
Exercise 12B — Variable rates.
Exercise 12C — Average rates of change.
Exercise 12D — Instantaneous rates.
Exercise 12E — Motion graphs.
Exercise 12F — Relating the gradient function to the original function.
Exercise 12G — Relating velocity-time graphs to position-time graphs.
Exercise 12H — Rates of change of polynomials.
Chapter review.
Modelling and problem solving.

Chapter 13 — Differentiation and applications.
Exercise 13A — Introduction to limits.
Exercise 13B — Limits of discontinuous, rational and hybrid functions.
Exercise 13C — Differentiation using first principles.
Exercise 13D — Finding derivatives by rule.
Exercise 13E — Rates of change.
Exercise 13F — Solving maximum and minimum problems.
Chapter review.
Modelling and problem solving.

Solutions to investigations.
Chapter 2.
Investigation — Interesting relations.
Investigation — A special relation.
Chapter 3.
Investigation — Investigating transformations on the basic graphs of y = x2, y = x3 and y = x4.
Investigation — Goal accuracy.
Chapter 4.
Investigation — Looking at the tangent ratio.
Investigation — Looking at the sine ratio.
Investigation — Looking at the cosine ratio.
Investigation — Fly like a bird.
Investigation — Derivation of the sine rule.
Investigation — Bearing east and west.
Chapter 5.
Investigation — Temperature and tide.
Investigation — Rhythm of life.
Investigation — Ferris wheeling.
Investigation — The effect of 2.
Investigation — How high.
Investigation — Sunrise to sunset.
Chapter 6.
Investigation — Fishing.
Investigation — Further trigonometric identities.
Chapter 7.
Investigation — A world population model.
Investigation — Bode’s Law.
Investigation — Logarithmic graphs.
Investigation — The slide rule.
Investigation — The decibel.
Investigation — The Richter scale.
Chapter 8.
Investigation — Loan schedules using spreadsheets.
Investigation — Spreadsheets and investing for the future.
Chapter 9.
Investigation — Types of data.
Investigation — Gallup poll.
Investigation — Identifying the target population.
Investigation — Census or sample.
Investigation — Bias in statistics.
Investigation — Biased sampling.
Investigation — Cost of a house.
Investigation — Bias.
Investigation — Segmented bar chart.
Investigation — Looking at cost.
Investigation — Using a database.
Investigation — A different display.
Chapter 10.
Investigation — Mean and median amount of soft drink.
Investigation — Range of soft drink amounts.
Investigation — Standard deviation of soft drink amounts.
Chapter 11.
Investigation — What will the weather be?
Investigation — Comparing theoretical probabilities with experimental results.
Investigation — Experimental or theoretical?
Investigations — Researching relative frequencies, applying relative frequencies.
Investigation — Random choice.
Investigation — Footy season.
Chapter 12.
Investigation — Investigating rates of change.
Chapter 13.
Investigation — Sneaking up on a limit.
Investigation — Dirichlet’s function.
Investigation — Secants and tangents.
Investigation — Graphs of derivatives.
Investigation — When is a maximum not a maximum?