Contents

1. I. Numbers: Use computational tools and strategies to make estimations and approximations

   1. Unit 1: Make estimations and approximations

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

2. II. Numbers: Numbers and number relationships

   1. Unit 1: Identify and work with rational and irrational numbers

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

   2. Unit 2: Introduction to exponents

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

   3. Unit 3: Raising a power to a power, exponent laws

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

   4. Unit 4: Rational exponents

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

   5. Unit 5: Simplify surds

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

   6. Unit 6: Arithmetic sequences and series

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

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

   1. Unit 1: Simplifying algebraic expressions

      1. Assessment
      2. Unit 1: Solutions

   2. Unit 2: Factorisation

      1. Assessment
      2. Unit 2: Solutions

   3. Unit 3: Simplification of algebraic fractions

      1. Assessment
      2. Unit 3: Solutions

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

   1. Unit 1: Solve linear and quadratic equations

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

   2. Unit 2: Solve exponential and literal equations

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

   3. Unit 3: Solve algebraic inequalities

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

   4. Unit 4: Solve simultaneous equations

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

5. V. Functions and Algebra: Sketch and interpret functions and graphs

   1. Unit 1: Linear functions

      1. Functions
      2. Linear functions
      3. Unit 1: Assessment
      4. Unit 1: Solutions

   2. Unit 2: Quadratic functions

      1. The quadratic function
      2. Find the equation of quadratic functions
      3. Unit 2: Assessment
      4. Unit 2: Solutions

   3. Unit 3: Hyperbolic functions

      1. The hyperbolic function
      2. Find the equation of a hyperbolic function
      3. Unit 3: Assessment
      4. Unit 3: Solutions

   4. Unit 4: Exponential functions

      1. The exponential function
      2. Find the equations of exponential functions
      3. Unit 4: Assessment
      4. Unit 4: Solutions

   5. Unit 5: Trigonometric functions

      1. The sine and cosine functions
      2. The effects of a and q on the graphs of y=a.sin x+q and y=a.cos x+q
      3. The tangent function
      4. The effects of a and q on the graph of y=a.tan x+q
      5. Finding the equations of trigonometric functions
      6. Unit 5: Assessment
      7. Unit 5: Solutions

6. VI. Space, shape and measurement: Measure and calculate physical quantities

   1. Unit 1: Scales and measurement

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

7. VII. Space, shape and measurement: Calculate perimeter, surface area and volume in two- and three-dimensional geometrical shapes

   1. Unit 1: Properties of polygons

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

   2. Unit 2: Volume of 3-dimensional shapes

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

   3. Unit 3: Total surface area of 3-D shapes

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

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

   1. Unit 1: Plotting points on the Cartesian plane

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

   2. Unit 2: Distance, gradient and midpoints

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

9. IX. Space, shape and measurement: Use and apply transformations to plot co-ordinates

   1. Unit 1: Transformation geometry

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

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

    1. Unit 1: Theorem of Pythagoras

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

11. XI. Space, shape and measurement: Solve problems by constructing and interpreting trigonometric models

    1. Unit 1: Trigonometric ratios

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

    2. Unit 2: Problems in two dimensions (2D)

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

12. XII. Statistical and probability models: Calculate central tendencies and dispersion of data

    1. Unit 1: Data collection

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

    2. Unit 2: Measures of central tendency of ungrouped data

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

    3. Unit 3: Measures of dispersion of ungrouped data

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

13. XIII. Statistical and probability models: Represent data effectively

    1. Unit 1: Data representation

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

    2. Unit 2: Bar graphs and histograms

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

    3. Unit 3: Frequency polygons and line graphs

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

14. XIV. Financial Maths: Plan and manage personal and household finances

    1. Unit 1: Personal budgets

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

15. XV. Financial Maths: Use simple and compound interest to explain and define a variety of situations

    1. Unit 1: Simple and compound interest

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