Contents

1. I. Complex numbers: Represent complex numbers in a form appropriate to the context

   1. Unit 1: Introduction to imaginary and complex numbers

      1. Unit 1: Assessment
      2. Unit 1: Solutions

   2. Unit 2: Represent complex numbers using the Argand diagram

      1. Unit 2: Assessment
      2. Unit 2: Solutions

   3. Unit 3: Represent complex numbers in polar form

      1. Unit 3: Assessment
      2. Unit 3: Solutions

2. II. Complex numbers: Perform operations on complex numbers

   1. Unit 1: Basic complex number arithmetic

      1. Unit 1: Assessment
      2. Unit 1: Solutions

   2. Unit 2: Multiply and divide complex numbers in polar form

      1. Unit 2: Assessment
      2. Unit 2: Solutions

3. III. Functions and algebra: Manipulate and simplify algebraic expressions

   1. Unit 1: Multiplying algebraic fractions

      1. Unit 1: Assessment
      2. Unit 1: Solutions

   2. Unit 2: Simplifying algebraic fractions

      1. Unit 2: Assessment
      2. Unit 2: Solutions

   3. Unit 3: Completing the square

      1. Unit 3: Assessment
      2. Unit 3: Solutions

4. IV. Functions and algebra: Solve algebraic equations and inequalities

   1. Unit 1: Solve quadratic equations by factorisation

      1. Unit 1: Assessment
      2. Unit 1: Solutions

   2. Unit 2: Solve quadratic equations by completing the square

      1. Unit 2: Assessment
      2. Unit 2: Solutions

   3. Unit 3: Solve quadratic equations using the quadratic formula

      1. Unit 3: Assessment
      2. Unit 3: Solutions

   4. Unit 4: Solve simultaneous equations

      1. Unit 4: Assessment
      2. Unit 4: Solutions

   5. Unit 5: Solve quadratic inequalities

      1. Unit 5: Assessment
      2. Unit 5: Solutions

5. V. Functions and algebra: Use a variety of techniques to sketch and interpret information from graphs of functions

   1. Unit 1: Sketch quadratic functions

      1. Unit 1: Assessment
      2. Unit 1: Solutions

   2. Unit 2: Find the equation of quadratic functions

      1. Unit 2: Assessment
      2. Unit 2: Solutions

   3. Unit 3: Sketch hyperbolic functions

      1. Unit 3: Assessment
      2. Unit 3: Solutions

   4. Unit 4: Find the equation of hyperbolic functions

      1. Unit 4: Assessment
      2. Unit 4: Solutions

   5. Unit 5: Sketch exponential functions

      1. Unit 5: Assessment
      2. Unit 5: Solutions

   6. Unit 6: Find the equation of an exponential function

      1. Unit 6: Assessment
      2. Unit 6: Solutions

   7. Unit 7: The sine function

      1. Unit 7: Assessment
      2. Unit 7: Solutions

   8. Unit 8: Horizontal transformation of the sine graph

      1. Unit 8: Assessment
      2. Unit 8: Solutions

   9. Unit 9: The cosine function

      1. Unit 9: Assessment
      2. Unit 9: Solutions

   10. Unit 10: Horizontal transformation of the cosine graph

       1. Unit 10: Assessment
       2. Unit 10: Solutions

   11. Unit 11: The tangent function

       1. Unit 11: Assessment
       2. Unit 11: Solutions

   12. Unit 12: Horizontal transformation of the tangent graph

       1. Unit 12: Assessment
       2. Unit 12: Solutions

6. VI. Functions and algebra: Use Mathematical models to investigate linear programming problems

   1. Unit 1: Linear programming

      1. Unit 1: Assessment
      2. Unit 1: Solutions

7. VII. Functions and algebra: Investigate and use instantaneous rate of change

   1. Unit 1: Limits of a function

      1. Unit 1: Assessment
      2. Unit 1: Solutions

   2. Unit 2: Find the derivative by first principles

      1. Unit 2: Assessment
      2. Unit 2: Solutions

   3. Unit 3: Find the derivative using rules for differentiation

      1. Unit 3: Assessment
      2. Unit 3: Solutions

   4. Unit 4: Use derivatives to solve maxima and minima problems

      1. Unit 4: Assessment
      2. Unit 4: Solutions

8. VIII. Space, shape and measurement: Calculate the surface area and volume of two- and three-dimensional shapes

   1. Unit 1: Finding the volume of 3-D shapes

      1. Unit 1: Assessment
      2. Unit 1: Solutions

   2. Unit 2: Finding the surface area of 3-D shapes

      1. Unit 2: Assessment
      2. Unit 2: Solutions

9. IX. Space, shape and measurement: Use the Cartesian co-ordinate system to derive and apply equations

   1. Unit 1: Finding the equation of a line

      1. Unit 1: Assessment
      2. Unit 1: Solutions

   2. Unit 2: Equations of parallel and perpendicular lines

      1. Unit 2: Assessment
      2. Unit 2: Solutions

   3. Unit 3: Determine the angle of inclination of a line

      1. Unit 3: Assessment
      2. Unit 3: Solutions

10. X. Space, shape and measurement: Solve problems by constructing and interpreting trigonometric models

    1. Unit 1: Special angles

       1. Unit 1: Assessment
       2. Unit 1: Solutions

    2. Unit 2: Use reduction formulae to simplify trig ratios

       1. Unit 2: Assessment
       2. Unit 2: Solutions

    3. Unit 3: Prove trig identities

       1. Unit 3: Assessment
       2. Unit 3: Solutions

    4. Unit 4: Find the general solution to trig equations

       1. Unit 4: Assessment
       2. Unit 4: Solutions

    5. Unit 5: Apply the area rule

       1. Unit 5: Assessment
       2. Unit 5: Solutions

    6. Unit 6: Apply the sine rule

       1. Unit 6: Assessment
       2. Unit 6: Solutions

    7. Unit 7: Apply the cosine rule

       1. Unit 7: Assessment
       2. Unit 7: Solutions

    8. Unit 8: Solve 2-D trig problems

       1. Unit 8: Assessment
       2. Unit 8: Solutions

11. XI. Data handling: Calculate, represent and interpret measures of central tendency and dispersion in univariate numerical ungrouped data

    1. Unit 1: Revise measures of central tendency and dispersion for ungrouped data

       1. Unit 1: Assessment
       2. Unit 1: Solutions

    2. Unit 2: The five-number summary and box-and-whisker diagram

       1. Unit 2: Assessment
       2. Unit 2: Solutions

12. XII. Data handling: Calculate, represent and interpret measures of central tendency and dispersion in univariate numerical grouped data

    1. Unit 1: Grouping data using frequency distributions

       1. Unit 1: Assessment
       2. Unit 1: Solutions

    2. Unit 2: Construct the ogive

       1. Unit 2: Assessment
       2. Unit 2: Solutions

    3. Unit 3: Constructing histograms

       1. Unit 3: Assessment
       2. Unit 3: Solutions

    4. Unit 4: Central tendency and dispersion for grouped data

       1. Unit 4: Assessment
       2. Unit 4: Solutions

13. XIII. Financial mathematics: Plan and describe how to manage finances of social clubs

    1. Unit 1: Financial control for social clubs

       1. Unit 1: Assessment
       2. Unit 1: Solutions

14. XIV. Financial mathematics: Use simple and compound interest to explain and define a variety of situations

    1. Unit 1: Calculations involving simple interest

       1. Unit 1: Assessment
       2. Unit 1: Solutions

    2. Unit 2: Calculations with compound interest

       1. Unit 2: Assessment
       2. Unit 2: Solutions

    3. Unit 3: Using timelines for calculations of simple and compound interest

       1. Unit 3: Assessment
       2. Unit 3: Solutions