Essential Mathematics for the Australian Curriculum 10 and 10A 2nd Edition by David Greenwood, Sarah Woolley, Jenny Goodman, Jennifer Vaughan, Stuart Palmer ISBN 9781107568907

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ISBN 10: 
ISBN 13: 9781107568907
Author: David Greenwood, Sarah Woolley, Jenny Goodman, Jennifer Vaughan, Stuart Palmer

This second edition of the popular series now combines a proven teaching and learning formula with the seamless integration of a structured student text, rich digital learning resources and a powerful learning management system.

NEW – The Interactive Textbook – integrated with Cambridge HOTmaths – allows effortless and immediate navigation from the textbook content to over 200 video demonstrations of worked examples in every year level, interactive widgets and walkthroughs that visually represent and reinforce maths concepts and much, much more.

• NEW – The Online Teaching Suite – allows you to easily assign work, create customised tests and report on progress with the learning management system (LMS) in this essential teaching resource. Complete and authoritative coverage of the Years 7 to 10 & 10A Australian Curriculum (and state variants):

• Logical topic development is supported by carefully graded questions, linked examples, investigations, and key point summaries in an uncluttered layout.
• Every question is grouped according to the four proficiency strands of the Australian Curriculum and every exercise contains questions for all four strands.
• Three different pathways (Foundation, Standard and Advanced) through the exercises cater for learners of all ability levels. These pathways are now indicated in the textbook and detailed working programs are provided to support differentiated learning.

Essential Mathematics for the Australian Curriculum 10 and 10A 2nd Edition Table of contents:

Chapter 1: Number and Algebra

• 1.1 Real Numbers and Their Properties
• 1.2 Working with Indices and Exponents
• 1.3 Solving Linear Equations
• 1.4 Algebraic Expressions and Simplification
• 1.5 Simultaneous Equations
• 1.6 Arithmetic and Geometric Sequences
• 1.7 Financial Mathematics: Simple and Compound Interest

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Chapter 2: Measurement

• 2.1 Units of Measurement
• 2.2 Perimeter, Area, and Volume of Geometric Shapes
• 2.3 Surface Area and Volume of Solids
• 2.4 Trigonometry: Applications in Right-Angled Triangles
• 2.5 The Metric System and Conversion Factors
• 2.6 Error and Estimation in Measurement

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Chapter 3: Geometry

• 3.1 Geometric Constructions and Loci
• 3.2 Properties of Triangles, Quadrilaterals, and Polygons
• 3.3 Circles: Arcs, Angles, and Chords
• 3.4 Coordinate Geometry: The Cartesian Plane
• 3.5 Transformations: Translations, Reflections, Rotations, and Enlargements

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Chapter 4: Statistics

• 4.1 Collecting Data: Surveys and Experiments
• 4.2 Organizing Data: Tables, Graphs, and Diagrams
• 4.3 Measures of Central Tendency: Mean, Median, Mode
• 4.4 Measures of Spread: Range, Interquartile Range, Standard Deviation
• 4.5 Probability: Basic Concepts and Calculations
• 4.6 Analyzing Data and Making Inferences

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Chapter 5: Probability and Statistics

• 5.1 Theoretical Probability
• 5.2 Compound Events and Independent Events
• 5.3 Venn Diagrams and Conditional Probability
• 5.4 Probability Distributions
• 5.5 Using Technology for Statistical Analysis

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Chapter 6: Linear Relationships

• 6.1 Graphing Linear Functions
• 6.2 Slope and Intercept Form
• 6.3 Solving Linear Inequalities
• 6.4 Applications of Linear Functions in Real Life
• 6.5 Systems of Linear Equations

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Chapter 7: Non-Linear Relationships

• 7.1 Quadratic Functions: Parabolas and Their Properties
• 7.2 Solving Quadratic Equations
• 7.3 Graphing and Transforming Quadratic Functions
• 7.4 Exponential Functions and Their Applications
• 7.5 Logarithmic Functions and Their Use in Real Life

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Chapter 8: Trigonometry

• 8.1 Introduction to Trigonometry: Sine, Cosine, and Tangent
• 8.2 Trigonometric Ratios in Right-Angled Triangles
• 8.3 The Unit Circle and Radian Measure
• 8.4 Solving Trigonometric Equations
• 8.5 Trigonometric Graphs

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Chapter 9: Working Mathematically

• 9.1 Problem-Solving Strategies
• 9.2 Mathematical Modelling
• 9.3 Using Technology to Solve Mathematical Problems
• 9.4 Communicating Mathematical Ideas Effectively
• 9.5 Investigating Real-World Problems

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Chapter 10: Review and Practice

• 10.1 Key Concept Review
• 10.2 Practice Exercises for Number and Algebra
• 10.3 Practice Exercises for Measurement and Geometry
• 10.4 Practice Exercises for Statistics and Probability
• 10.5 Practice Exercises for Trigonometry and Functions
• 10.6 Answers to Selected Problems

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