AC Maths 2015

for theAustralian Curriculum

This topic-based program covers all the content descriptions and elaborations contained in the Australian Curriculum: Mathematics.

The workbooks combine high quality skill sheets, which assess skill development in each topic, with investigations and technology tasks that develop problem-solving skills and build confidence.

The simple and flexible design complements any Maths programme.

Australian Curriculum editions

Monique Miotto,Tracey MacBeth-Dunn

Year 71 Chance2 Data3 Decimal numbers4 Fractions5 Geometry6 Integers7 Linear equations8 Linear graphs9 Measurement10 Number theory11 Patterns and algebra12 Percentages13 Ratio and rates14 Transformations15 Whole numbers

Year 91 Algebra and equations2 Chance3 Data4 Expanding and factorising5 Geometry6 Indices7 Linear graphs8 Measurement9 Non-linear graphs10 Proportion11 Pythagoras’ theorem12 Trigonometry

Year 101 Algebra2 Chance3 Congruence and similarity4 Data5 Expanding and factorising6 Financial mathematics7 Linear equations and inequations8 Linear graphs9 More equations and graphs10 Pythagoras and trigonometry11 Quadratic equations 12 Surface area and volume

Year 81 Algebra2 Chance and data3 Fractions, decimals and percentages4 Geometry5 Indices6 Integers7 Linear equations and graphs8 Measurement9 Ratio and rates

Homework /Workbooks

your solution for theAustralian Curriculum

Price List

Title ISBN Price ( Inc. gst)

Active Maths 7 AC Edition 978 1 4202 3063 5 $19.99 Active Maths 7 Teacher Book AC Edition 978 1 4202 3064 2 $68.99 Active Maths 8 AC Edition 978 1 4202 3065 9 $19.99 Active Maths 8 Teacher Book AC Edition 978 1 4202 3066 6 $68.99 Active Maths 9 AC Edition 978 1 4202 3067 3 $19.99 Active Maths 9 Teacher Book AC Edition 978 1 4202 3068 0 $68.99 Active Maths 10 AC Edition 978 1 4202 3069 7 $19.99 Active Maths 10 Teacher Book AC Edition 978 1 4202 3070 3 $68.99 MathsWorld 7 AC Edition Print + eBook 978 1 4202 2961 5 $67.99 MathsWorld 7 AC Edition eBook 978 1 4202 3095 6 $40.00 MathsWorld 7 AC Teacher Resource Book + Digital Support 978 1 4202 2965 3 $165.99 MathsWorld 8 AC Edition Print + eBook 978 1 4202 2962 2 $67.99 MathsWorld 8 AC Edition eBook 978 1 4202 3097 0 $40.00 MathsWorld 8 AC Teacher Resource Book + Digital Support 978 1 4202 2966 0 $165.99 MathsWorld 9 AC Edition Print + eBook 978 1 4202 2963 9 $67.99 MathsWorld 9 AC Edition eBook 978 1 4202 3099 4 $40.00 MathsWorld 9 AC Teacher Resource Book + Digital Support 978 1 4202 2967 7 $165.99 MathsWorld 10/10A AC Edition Print + eBook 978 1 4202 2964 6 $67.99 MathsWorld 10/10A AC Edition eBook 978 1 4202 3101 4 $40.00 MathsWorld 10 AC Teacher Resource Book + Digital Support 978 1 4202 2968 4 $165.99

Australian Curriculum = AC

MathsWorld components

Print & eBookStudent Resources

eBookStudent Resources

Print & DigitalTeacher Support

04/15

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for the Australian Curriculum

Providing complete coverage of the Year 7–10 curriculum, this outstanding series combines skills practice with rich investigative activities, giving you the flexibility to teach a wide range of students effectively.

Features include:• chapters structured into manageable lesson-sized sections• clear links between question sets and worked examples • skills questions throughout • a challenge section in every exercise• links to real-life contexts • analysis tasks• comprehensive digital support• a practice quiz in each chapter.

Developed specificallyfor the Australian Curriculum.

Teacher supportYear 7

1 Calculating with whole numbers2 Multiples, factors and indices 3 Fractions4 Decimals5 Algebra6 Geometry and space7 Integers8 Solving equations9 Coordinates and graphs10 Perimeter, area and volume11 Percentages and ratios12 Probability13 Statistics14 Transformations15 Extending and investigating

Year 81 Integers2 Fractions and decimals3 Indices4 Algebra5 Percentages and financial mathematics6 Solving equations7 Congruency and quadrilateral properties8 Ratio, rates and time9 Statistics10 Perimeter, area and volume11 Linear graphs12 Probability

13 Extending and investigating

Year 91 Indices and scientific notation2 Right-angled triangles and Pythagoras’ theorem3 Algebra: simplifying, expanding and factorising4 Linear equations5 Probability6 Coordinate geometry7 Linear and non-linear graphs8 Proportion9 Congruent and similar triangles10 Trigonometry11 Surface area and volume12 Percentages and simple interest13 Statistics14 Extending and investigating

Year 101 Linear equations and inequalities2 Trigonometry and Pythagoras’ theorem3 Linear graphs and simultaneous equations4 Algebra5 Simple and compound interest6 Pyramids, cones and spheres7 Quadratic equations8 Geometry and proving9 Probability10 Statistics11 Graphs of circles and hyperbolas12 Quadratic functions13 Polynomials14 Surds15 Logarithms and exponential equations

16 Further trigonometry

Jill Vincent, Beth Price, Glenda Romeril, David Tynan, Allason McNamara, Natalie Caruso

583

12.2 Estimating probabilities

Probability experiments

In section 12.1 we were considering theoretical probability. It is also possible to estimate

probabilities using data from a probability experiment. Tossing a coin or rolling a die a

number of times and recording the outcomes are examples of probability experiments. The

data from a probability experiment can be used to calculate the relative frequency of an

event. In a probability experiment such as tossing a coin, each repeated toss is called a trial.

We normally collect data for a large number of trials. To calculate relative frequency, we

express the frequency of the outcome as a fraction of the total number of trials.

Relative frequency (or experimental probability)

Relative frequency of an outcome 5frequency of the outcome

number of trials

A coin was tossed 40 times and 23 heads were obtained. Calculate the relative frequency

of obtaining a head.

WorkingReasoning

Relative frequency of heads

5number of heads

total number of trials

52340

5 0.575

Express the frequency of heads as a

fraction of the total number of trials.

The greater the number of trials, the closer we expect the relative frequency to come to the

theoretical probability. For example, if we toss a coin 10 times we could obtain 5 heads and 5

tails, but we could obtain, for example, 8 heads and 2 tails. However, if we toss a coin 10 000

times, we would expect to obtain close to equal numbers of heads and tails. We can use a

relative frequency as an estimate of probability.

Example 9

Ch12_MW8_NC_Final.indd 583

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Macmillan’s digital homewww.onestopdigital.com.au

interactive pages mirror print book

Each MathsWorld student book comes with 15 months’ access to:

• an interactive eBook • interactive support and activities.

eBook only resources are also available.

practice quizzes

pre-test and warm-up activities

create customised digital portfolios

technology files

share annotations

analysis task worksheets

Available on any device, on any platform, at any time, MathsWorld is supported by a wide spectrum of digital activities and resources.

… a world of digital possibilities

Free 14 dayteachertrial

available

Each text is accompanied by comprehensive teacher support ideal for both new and experienced teachers.

Valid for the life of the student edition, they provide a wealth of print and digital support, including:

• an interactive eBook version of the student book • warm-ups, reviews and tests • instructive worked examples • PowerPoint presentations, technology files and activities • additional questions • worksheets• curriculum grids • teaching notes.

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