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Essential Mathematics AC Year 10 & 10A Option 1 (1st Ed) : Textbook & Downloadable PDF Version - David Greenwood

Essential Mathematics AC Year 10 & 10A Option 1 (1st Ed)

Textbook & Downloadable PDF Version


Published: 2nd December 2011
For Ages: 14 - 15 years old
Ships: 3 to 4 business days
3 to 4 business days
RRP $59.95

Essential Mathematics for the Australian Curriculum Year 10 & 10A covers 10A content as clearly defined topics within chapters. 10A questions in chapter reviews and semester reviews are also clearly identified. In this way, the book can be used by both students undertaking the Year 10 course, and those completing the 10A course, whether in mixed or separate classes.

Essential Mathematics for the Australian Curriculum has been developed by a team of highly experienced maths educators and proven authors to provide a complete teaching and learning program for the new curriculum.

  • The logical and sequential development of topics encourages understanding, reduces lesson planning time, and allows the teaching program to be built around the textbook structure. It also ensures that students have covered prerequisite knowledge – including areas of maths that may or may not have been covered in primary school – before tackling new maths concepts.
  • Complex probability and statistics concepts are covered accurately and at a level that is appropriate for students in junior and middle secondary.
  • Diagnostic pre-tests at the start of each chapter help identify gaps in prerequisite knowledge while extensive chapter and semester reviews consolidate understanding and ensure students are prepared for future learning.
  • Investigations and Puzzles encourage group work, literacy skills and creativity. Together with numeracy skills and ICT activities, these general capabilities are incorporated in every chapter.
  • Carefully graded questions, focusing first on building understanding and fluency then on their application, are cross-referenced to worked examples which clearly demonstrate all key problem types.
  • Every question is grouped according to the four proficiency strands – Understanding, Fluency, Problem-solving and Reasoning – allowing you to easily select a range of questions and problems for students with a wide variety of learning abilities, backgrounds and styles.
  • Problem-solving and Reasoning questions are included in every exercise to promote logical and analytical thinking, and to encourage students to employ creative mathematical strategies to wide range of contexts and to achieve a deeper understanding.
  • Enrichment questions in every exercise, and investigations, challenges and puzzles in every chapter, reflect curriculum aims by extending students in depth within a topic, rather than by accelerating content.
  • Innovative digital resources and other technologies are integrated in the complete teaching and learning program as valuable tools for consolidating and expanding for knowledge and understanding in the maths classroom.
  • Optional technology activities cater for a variety of school approaches and access to technology. They incorporate dynamic geometry, spreadsheets and calculators.


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    Chapter 1: Linear relations

    1.1 Reviewing algebra

    1.2 Algebraic fractions

    1.3 Solving linear equations

    1.4 Inequalities

    1.5 Graphing straight lines

    1.6 Finding a rule for a linear graph

    1.7 Length and midpoint of a line segment

    1.8 Perpendicular and parallel lines

    1.9 Simultaneous equations—substitution

    1.10 Simultaneous equations—elimination

    1.11 Further applications of simultaneous equations

    1.12 Half planes

    Chapter 2: Geometry

    2.1 Geometry review

    2.2 Congruent triangles

    2.3 Investigating parallelograms using congruence

    2.4 Similar figures

    2.5 Proving similar triangles

    2.6 Circles and chord properties

    2.7 Angle properties of circles—theorems 1 and 2

    2.8 Angle properties of circles—theorems 3 and 4

    2.9 Tangents

    2.10 Intersecting chords, secants and tangents

    Chapter 3: Indices and surds

    3.1 Irrational numbers and surds

    3.2 Adding and subtracting surds

    3.3 Multiplying and dividing surds

    3.4 Binomial products

    3.5 Rationalising the denominator

    3.6 Review of index laws

    3.7 Negative indices

    3.8 Scientific notation

    3.9 Rational indices

    3.10 Exponential equations

    3.11 Exponential growth and compound interest

    Chapter 4: Trigonometry

    4.1 Trigonometric ratios

    4.2 Finding angles

    4.3 Applications in two dimensions

    4.4 Bearings

    4.5 Application in three dimensions

    4.6 Obtuse angles and exact values

    4.7 The sine rule

    4.8 The cosine rule

    4.9 Area of a triangle

    4.10 The four quadrants

    4.11 Graphs of trigonometric functions

    Chapter 5: Quadratic equations

    5.1 Expanding expressions

    5.2 Factorising expressions

    5.3 Factorising trinomials of the form x2 + bx + c

    5.4 Factorising quadratic trinomials of the form ax2 + bx + c

    5.5 Factorising by completing the square

    5.6 Solving quadratic equations

    5.7 Applications of quadratics

    5.8 Solving quadratic equations by completing the square

    5.9 The quadratic formula

    Chapter 6: Measurement

    6.1 Review of length

    6.2 Pythagoras’ theorem

    6.3 Area

    6.4 Surface area—prisms and cylinders

    6.5 Surface area—pyramids and cones

    6.6 Volume—prisms and cylinders

    6.7 Volume—pyramids and cones

    6.8 Spheres

    Chapter 7: Parabolas and other graphs

    7.1 Exploring parabolas

    7.2 Sketching parabolas with transformations

    7.3 Sketching y = x 2 + bx + c using factorisation

    7.4 Sketching by completing the square

    7.5 Sketching using the quadratic formula

    7.6 Applications of parabolas

    7.7 Graphs of circles

    7.8 Graphs of exponentials

    7.9 Graphs of hyperbolas

    7.10 Further transformations of graphs

    Chapter 8: Probability

    8.1 Review of probability

    8.2 Unions and intersections

    8.3 The addition rule

    8.4 Conditional probability

    8.5 Multiple events using tables

    8.6 Using tree diagrams

    8.7 Independent events

    Chapter 9: Statistics

    9.1 Review of statistical graphs

    9.2 Quartiles

    9.3 Boxplots

    9.4 Time series data

    9.5 Bivariate data and scatter plots

    9.6 Line of best fit by eye

    9.7 Standard deviation

    9.8 Linear regression with technology

    Chapter 10: Logarithms and polynomials

    10.1 Logarithms

    10.2 Logarithm laws

    10.3 Exponential equations using logarithms

    10.4 Polynomials

    10.5 Expanding and simplifying polynomials

    10.6 Division of polynomials

    10.7 The remainder and factor theorems

    10.8 Solving polynomial equations

    10.9 Graphs of polynomials

    ISBN: 9780521178662
    ISBN-10: 0521178665
    Series: Cambridge First Essential Mathematics
    Audience: Primary / High School
    For Ages: 14 - 15 years old
    For Grades: 10
    Format: Paperback
    Language: English
    Published: 2nd December 2011
    Publisher: CAMBRIDGE UNIV PR
    Country of Publication: GB
    Dimensions (cm): 25.65 x 18.8  x 3.3
    Weight (kg): 1.61