Mathematics 10 Applied

1. Unit 1

   Chapter 1 Earning Money

   1. 1.1 Salaries and wages
   2. 1.2 Overtime and casual rates
   3. 1.3 Commission and piecework
   4. 1.4 Gross pay, net pay and deductions
   5. 1.5 Government allowances
   6. 1.6 Budgeting
   7. 1.7 Taxation
   8. 1.8 Income tax
   9. 1.9 Calculating income tax with a spreadsheet
   10. Starter: another look
   11. 1.10 Indirect taxes
   12. Chapter review

2. Unit 2

   Chapter 2 Investing Money

   1. 2.1 Simple interest
   2. 2.2 Compound interest
   3. 2.3 Future and present value
   4. Starter: another look
   5. 2.4 Future and present value of one dirham
   6. 2.5 Future and present value using a spreadsheet
   7. 2.6 Inflation
   8. 2.7 The effect of inflation on profit and loss
   9. 2.8 Investing in shares
   10. 2.9 Monitoring a share portfolio
   11. 2.10 Bank fees and charges
   12. Chapter review

3. Unit 3

   Financial Mathematics Modelling Tasks

   1. Investigating fixed-term investments
   2. The stock market game

4. Unit 4

   Chapter 3 Using and Abusing Statistics

   1. 3.1 Data types
   2. 3.2 Posing questions
   3. 3.3 Sampling and population
   4. Starter: another look 109
   5. 3.4 Simple statistical displays
   6. 3.5 Creating graphs using a spreadsheet
   7. 3.6 Histograms and frequency polygons
   8. 3.7 Stem-and-leaf plots
   9. 3.8 Interpreting data
   10. 3.9 Misuse of statistical graphs
   11. Chapter review

5. Unit 5

   Chapter 4 Central Tendency and Dispersion

   1. 4.1 Discrete data—mean, median and mode
   2. 4.2 Continuous data—mean, median and mode
   3. 4.3 Range and interquartile range
   4. 4.4 Box-and-whisker plots
   5. Starter: another look
   6. 4.5 Standard deviation
   7. Chapter review

6. Unit 6

   Data Analysis Modelling Tasks

   1. A historical perspective on statistics
   2. Investigating mortality rates for the sinking of the Titanic

7. Unit 7

   Chapter 5 Measurement and its Applications

   1. 5.1 SI units and conversions
   2. 5.2 Conversions involving areas and volumes
   3. 5.3 Accuracy of measurements
   4. 5.4 Areas of composite shapes
   5. 5.5 Field diagrams
   6. 5.6 Total surface area (TSA)
   7. 5.7 Volume of a prism
   8. 5.8 Volume of a non-prism
   9. 5.9 Capacity
   10. Starter: another look
   11. 5.10 Percentage applications
   12. 5.11 Ratios
   13. 5.12 Concentrations
   14. 5.13 Rates
   15. 5.14 The unitary method
   16. Chapter review

8. Unit 8

   Chapter 6 Right-angled Triangles

   1. 6.1 The Theorem of Pythagoras
   2. 6.2 Finding the hypotenuse
   3. 6.3 Rational approximations
   4. 6.4 Finding a shorter side
   5. 6.5 Missing triangles
   6. 6.6 Applications of Pythagoras’ Theorem
   7. Starter: another look 301
   8. 6.7 Trigonometric ratios
   9. 6.8 Using a calculator for trigonometry
   10. 6.9 Finding lengths using trigonometry
   11. 6.10 Finding angles using trigonometry
   12. 6.11 Angles of elevation and depression
   13. 6.12 Mixed right-angled problems
   14. Chapter review

9. Unit 9

   Chapter 7 Constructions and Similarity

   1. 7.1 Constructions
   2. 7.2 Scale Drawings
   3. 7.3 Enlarging or Reducing
   4. Starter: Another Look
   5. 7.4 Sketching 3-D Shapes
   6. 7.5 Nets of 3-D Objects
   7. 7.6 Floor Plans and Elevations
   8. Chapter Review

10. Unit 10

    Measurement Modelling Tasks

    1. Points on polygons and circles
    2. Tessellating shapes

11. Unit 11

    Chapter 8 Algebra

    1. 8.1 The basics of algebra
    2. 8.2 Algebraic manipulation
    3. 8.3 Expanding expressions
    4. 8.4 Factorising expressions
    5. 8.5 Solving linear equations
    6. 8.6 Formulae and substitution
    7. 8.7 Transposition
    8. 8.8 Developing formulae from descriptions
    9. Starter: another look
    10. Chapter review

12. Unit 12

    Chapter 9 Linear Modelling

    1. 9.1 Straight-line graphs by plotting points
    2. 9.2 Straight-line graphs
    3. 9.3 Gradients of straight lines
    4. 9.4 Drawing and sketching linear graphs
    5. 9.5 Modelling with linear functions and graphs
    6. 9.6 Lines of best fit
    7. 9.7 Solving simultaneous linear equations graphically
    8. Starter: another look
    9. 9.8 Other graphs involving straight lines
    10. 9.9 Direct variation
    11. Chapter review

13. Unit 13

    Algebraic Modelling Tasks

    1. Can hip height predict walking pace?
    2. Predicting future 100-metre freestyle world records

14. Unit 14

    Chapter 10 Introduction to Probability

    1. 10.1 Chance
    2. 10.2 Long-term trends
    3. 10.3 Probability experiments
    4. 10.4 Pure probability
    5. Starter: another look
    6. 10.5 Complement
    7. 10.6 Multiple events
    8. 10.7 Simple counting techniques
    9. Chapter review

15. Unit 15

    Probability Modelling Tasks

    1. Winning the competition
    2. Do lie detectors actually work?

16. Unit 16

    Practice Examination