Jacaranda Maths Quest 10 + 10A for the Australian Curriculum [1 ed.] 9780730341789, 9780730341796, 9780730341819, 9780730341826

Table of contents :
Contents
Introduction
About eBookPLUS
Acknowledgements
Chapter 1 Indices
Are you ready?
Review of index laws
Exercise 1A Review of index laws
Negative indices
Exercise 1B Negative indices
Fractional indices
Exercise 1C Fractional indices
Combining index laws
Exercise 1D Combining index laws
Summary
Chapter review
Activities
Chapter 2 Linear algebra
Are you ready?
Substitution
Exercise 2A Substitution
Adding and subtracting algebraic fractions
Exercise 2B Adding and subtracting algebraic fractions
Multiplying and dividing algebraic fractions
Exercise 2C Multiplying and dividing algebraic fractions
Solving linear equations
Exercise 2D Solving linear equations
Solving equations with algebraic fractions and multiple brackets
Exercise 2E Solving equations with algebraic fractions and multiple brackets
Summary
Chapter review
Activities
Chapter 3 Coordinate geometry
Are you ready?
Sketching linear graphs
Exercise 3A Sketching linear graphs
Determining linear equations
Exercise 3B Determining linear equations
The distance between two points on a straight line
Exercise 3C The distance between two points on a straight line
The midpoint of a line segment
Exercise 3D The midpoint of a line segment
Parallel and perpendicular lines
Exercise 3E Parallel and perpendicular lines
Summary
Chapter review
Activities
Chapter 4 Simultaneous linear equations and inequations
Are you ready?
Graphical solution of simultaneous linear equations
Exercise 4A Graphical solution of simultaneous linear equations
Solving simultaneous linear equations using substitution
Exercise 4B Solving simultaneous linear equations using substitution
Solving simultaneous linear equations using elimination
Exercise 4C Solving simultaneous linear equations using elimination
Problem solving using simultaneous linear equations
Exercise 4D Problem solving using simultaneous linear equations
Solving linear inequations
Exercise 4E Solving linear inequations
Sketching linear inequations
Exercise 4F Sketching linear inequations
Solving simultaneous linear inequations
Exercise 4G Solving simultaneous linear inequations
Summary
Chapter review
Activities
Chapter 5 Trigonometry I
Are you ready?
Pythagoras’ theorem
Exercise 5A Pythagoras’ theorem
Pythagoras’ theorem in three dimensions
Exercise 5B Pythagoras’ theorem in three dimensions
Trigonometric ratios
Exercise 5C Trigonometric ratios
Using trigonometry to calculate side lengths
Exercise 5D Using trigonometry to calculate side lengths
Using trigonometry to calculate angle size
Exercise 5E Using trigonometry to calculate angle size
Angles of elevation and depression
Exercise 5F Angles of elevation and depression
Bearings and compass directions
Exercise 5G Bearings and compass directions
Applications
Exercise 5H Applications
Summary
Chapter review
Activities
Chapter 6 Surface area and volume
Are you ready?
Area
Exercise 6A Area
Total surface area
Exercise 6B Total surface area
Volume
Exercise 6C Volume
Summary
Chapter review
Activities
Chapter 7 Quadratic expressions
Are you ready?
Expanding algebraic expressions
Exercise 7A Expanding algebraic expressions
Factorising expressions with three terms
Exercise 7B Factorising expressions with three terms
Factorising expressions with two or four terms
Exercise 7C Factorising expressions with two or four terms
Factorising by completing the square
Exercise 7D Factorising by completing the square
Mixed factorisation
Exercise 7E Mixed factorisation
Summary
Chapter review
Activities
Chapter 8 Quadratic equations
Are you ready?
Solving quadratic equations
Exercise 8A Solving quadratic equations
The quadratic formula
Exercise 8B The quadratic formula
Solving quadratic equations by inspecting graphs
Exercise 8C Solving quadratic equations by inspecting graphs
Finding solutions to quadratic equations by interpolation and using the discriminant
Exercise 8D Finding solutions to quadratic equations by interpolation and using the discriminant
Solving a quadratic equation and a linear equation simultaneously
Exercise 8E Solving a quadratic equation and a linear equation simultaneously
Summary
Chapter review
Activities
Chapter 9 Functions
Are you ready?
Plotting parabolas
Exercise 9A Plotting parabolas
Sketching parabolas using the basic graph of y = x 2
Exercise 9B Sketching parabolas using the basic graph of y = x 2
Sketching parabolas in turning point form
Exercise 9C Sketching parabolas in turning point form
Sketching parabolas of the form y = ax 2 + bx + c
Exercise 9D Sketching parabolas of the form y = ax 2 + bx + c
Exponential functions and their graphs
Exercise 9E Exponential functions and their graphs
The hyperbola
Exercise 9F The hyperbola
The circle
Exercise 9G The circle
Summary
Chapter review
Activities
Chapter 10 Deductive geometry
Are you ready?
Congruence review
Exercise 10A Congruence review
Similarity review
Exercise 10B Similarity review
Congruence and proof
Exercise 10C Congruence and proof
Quadrilaterals: definitions and properties
Exercise 10D Quadrilaterals: definitions and properties
Quadrilaterals and proof
Exercise 10E Quadrilaterals and proof
Summary
Chapter review
Activities
ICT Activity
Chapter 11 Problem solving I
Chapter 12 Probability
Are you ready?
Review of probability
Exercise 12A Review of probability
Complementary and mutually exclusive events
Exercise 12B Complementary and mutually exclusive events
Two-way tables and tree diagrams
Exercise 12C Two-way tables and tree diagrams
Independent and dependent events
Exercise 12D Independent and dependent events
Conditional probability
Exercise 12E Conditional probability
Subjective probability
Exercise 12F Subjective probability
Summary
Chapter review
Activities
Chapter 13 Univariate data
Are you ready?
Measures of central tendency
Exercise 13A Measures of central tendency
Measures of spread
Exercise 13B Measures of spread
Box-and-whisker plots
Exercise 13C Box-and-whisker plots
The standard deviation
Exercise 13D The standard deviation
Comparing data sets
Exercise 13E Comparing data sets
Skewness
Exercise 13F Skewness
Summary
Chapter review
Activities
Chapter 14 Bivariate data
Are you ready?
Identifying related pairs of variables
Exercise 14A Identifying related pairs of variables
Graphing bivariate data
Exercise 14B Graphing bivariate data
Scatterplots
Exercise 14C Scatterplots
Summary
Chapter review
Activities
Chapter 15 Statistics in the media
Are you ready?
Populations and samples
Exercise 15A Populations and samples
Primary and secondary data
Exercise 15B Primary and secondary data
Evaluating inquiry methods and statistical reports
Exercise 15C Evaluating inquiry methods and statistical reports
Statistical investigations
Exercise 15D Statistical investigations
Summary
Chapter review
Activities
ICT Activity
Chapter 16 Financial maths
Are you ready?
Purchasing goods
Exercise 16A Purchasing goods
Buying on terms
Exercise 16B Buying on terms
Successive discounts
Exercise 16C Successive discounts
Compound interest
Exercise 16D Compound interest
Depreciation
Exercise 16E Depreciation
Loan repayments
Exercise 16F Loan repayments
Summary
Chapter review
Activities
Chapter 17 Problem solving II
Chapter 18 Real numbers
Are you ready?
Number classification review
Exercise 18A Number classification review
Surds
Exercise 18B Surds
Operations with surds
Exercise 18C Operations with surds
Fractional indices
Exercise 18D Fractional indices
Negative indices
Exercise 18E Negative indices
Logarithms
Exercise 18F Logarithms
Logarithm laws
Exercise 18G Logarithm laws
Solving equations
Exercise 18H Solving equations
Summary
Chapter review
Activities
Chapter 19 Polynomials
Are you ready?
Polynomials
Exercise 19A Polynomials
Adding, subtracting and multiplying polynomials
Exercise 19B Adding, subtracting and multiplying polynomials
Long division of polynomials
Exercise 19C Long division of polynomials
Polynomial values
Exercise 19D Polynomial values
The remainder and factor theorems
Exercise 19E The remainder and factor theorems
Factorising polynomials
Exercise 19F Factorising polynomials
Solving polynomial equations
Exercise 19G Solving polynomial equations
Summary
Chapter review
Activities
Chapter 20 Functions and relations
Are you ready?
Functions and relations
Exercise 20A Functions and relations
Exponential functions
Exercise 20B Exponential functions
Cubic functions
Exercise 20C Cubic functions
Quartic functions
Exercise 20D Quartic functions
Transformations
Exercise 20E Transformations
Summary
Chapter review
Activities
Chapter 21 Circle geometry
Are you ready?
Angles in a circle
Exercise 21A Angles in a circle
Intersecting chords, secants and tangents
Exercise 21B Intersecting chords, secants and tangents
Cyclic quadrilaterals
Exercise 21C Cyclic quadrilaterals
Tangents, secants and chords
Exercise 21D Tangents, secants and chords
Summary
Chapter review
Activities
Chapter 22 Trigonometry II
Are you ready?
The sine rule
Exercise 22A The sine rule
The cosine rule
Exercise 22B The cosine rule
Area of triangles
Exercise 22C Area of triangles
The unit circle
Exercise 22D The unit circle
Trigonometric functions
Exercise 22E Trigonometric functions
Solving trigonometric equations
Exercise 22F Solving trigonometric equations
Summary
Chapter review
Activities
Chapter 23 Interpreting data
Are you ready?
Bivariate data
Exercise 23A Bivariate data
Lines of best fit
Exercise 23B Lines of best fit
Time series
Exercise 23C Time series
Summary
Chapter review
Activities
Answers
Glossary
Index

Polecaj historie

Jacaranda Maths Quest 10 + 10 A For Victoria Australian Curriculum Edition 9780730348566

Jacaranda Maths Quest 10 + 10 A for Year 10 VCE students in Australia. 2015 edition. Original ebook from JacPlus website

11,049 1,864 81MB Read more

Jacaranda Maths Quest 7 Australian Curriculum [3; Third Edition] 9780730346722

8,804 1,099 46MB Read more

Jacaranda Maths Quest 9 Australian Curriculum third Edition [3; third Edition] 9780730346326

12,669 1,761 44MB Read more

Essential Mathematics for the Australian Curriculum Year 10 and 10A [1 ed.] 0521178665, 9780521178662

The Digital option of this all-new comprehensive teaching and learning program gives you access to all of the online stu

3,293 350 30MB Read more

Essential Mathematics for the Australian Curriculum, 10 & 10A [2 ed.] 9781107568907, 1107568900

880 214 37MB Read more

Jacaranda Science Quest 7 for Victoria Australian Curriculum 1E (Revised) LearnON and Print 0730348571, 9780730348573

Secondary studies - science textbook.

5,336 399 47MB Read more

Essential Mathematics for the Australian Curriculum, 10 & 10A [2 ed.] 1107568900, 9781107568907

2,506 203 36MB Read more

Essential Mathematics for the Australian Curriculum 10 & 10A [Third Edition] 9781108773461

36,210 6,645 131MB Read more

Essential mathematics for the Victorian Curriculum, 10 & 10A 9781316623671

1,390 160 38MB Read more

Jacaranda Maths Quest 10 Stage 5 NSW AC Second Edition [2 ed.]

3,158 351 67MB Read more